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Statistics and Probability PYQs (previous year questions) for NDA: Statistics and Probability (Mathematics) had 410 questions across the 42 official NDA papers we tagged (2016–2026), and appeared in 21 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Binomial Distribution, Conditional Probability, Probability.
Year-wise question count
Asked in 11 of 11 years.
| Year | Papers | Questions | Per paper |
|---|---|---|---|
| NDA 2026 | 2 | 40 | 20 |
| NDA 2025 | 2 | 40 | 20 |
| NDA 2024 | 2 | 39 | 19.5 |
| NDA 2023 | 2 | 40 | 20 |
| NDA 2022 | 2 | 39 | 19.5 |
| NDA 2021 | 2 | 39 | 19.5 |
| NDA 2020 | 1 | 20 | 20 |
| NDA 2019 | 2 | 39 | 19.5 |
| NDA 2018 | 2 | 39 | 19.5 |
| NDA 2017 | 2 | 40 | 20 |
| NDA 2016 | 2 | 35 | 17.5 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Binomial Distribution | 37 | 20 | 2026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017, 2016 |
| Conditional Probability | 24 | 17 | 2026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017, 2016 |
| Probability | 110 | 15 | 2026, 2025, 2023, 2020, 2019, 2018, 2017, 2016 |
| Measures of Dispersion | 29 | 13 | 2026, 2025, 2024, 2020, 2019, 2018, 2017, 2016 |
| Mean | 29 | 12 | 2023, 2022, 2021, 2018, 2017, 2016 |
| Measures of Central Tendency | 23 | 12 | 2026, 2024, 2023, 2021, 2020, 2019, 2017, 2016 |
| Regression | 17 | 11 | 2024, 2023, 2021, 2020, 2019, 2018, 2017, 2016 |
| Correlation | 12 | 8 | 2023, 2022, 2021, 2019, 2018, 2017, 2016 |
| Median | 9 | 7 | 2025, 2023, 2022, 2021, 2018 |
| Variance | 7 | 6 | 2025, 2022, 2018, 2017, 2016 |
| Bayes Theorem | 6 | 6 | 2026, 2025, 2020, 2019, 2018, 2017 |
| Independent Events | 7 | 5 | 2025, 2024, 2021, 2020, 2019 |
| Classical Probability | 21 | 4 | 2024, 2022 |
| Coefficient of Variation | 5 | 4 | 2025, 2022, 2018, 2016 |
| Frequency Distribution | 4 | 4 | 2025, 2020, 2019, 2016 |
| Geometric Mean | 4 | 4 | 2023, 2021, 2018 |
| Harmonic Mean | 4 | 4 | 2025, 2023, 2021 |
| Mode | 4 | 4 | 2025, 2023, 2021 |
| Standard Deviation | 4 | 4 | 2025, 2023, 2018 |
| Graphical Representation | 4 | 3 | 2025, 2023, 2021 |
| Mean Deviation | 4 | 3 | 2022, 2016 |
| Geometric Probability | 3 | 3 | 2019, 2017, 2016 |
| Pie Chart | 3 | 3 | 2018, 2017 |
| Total Probability | 3 | 3 | 2025, 2024, 2022 |
| Probability Basics | 8 | 2 | 2021 |
| Addition Theorem | 6 | 2 | 2025, 2024 |
| Dispersion | 4 | 2 | 2021 |
| Arithmetic Mean | 3 | 2 | 2025 |
| Correlation and Regression | 3 | 2 | 2026 |
| Ogives | 2 | 2 | 2018, 2017 |
| Averages | 1 | 1 | 2024 |
| Bayes' Theorem | 1 | 1 | 2023 |
| Data Representation | 1 | 1 | 2017 |
| Histogram | 1 | 1 | 2016 |
| Mean and Variance | 1 | 1 | 2023 |
| Mean Median Mode | 1 | 1 | 2023 |
| Means (AM GM HM) | 1 | 1 | 2021 |
| Odds | 1 | 1 | 2022 |
| Probability Rules | 1 | 1 | 2022 |
| Sample Space | 1 | 1 | 2019 |
| Skewness | 1 | 1 | 2022 |
How to practise Statistics and Probability PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Statistics and Probability questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
NDA2026
- Q.101 (NDA (I) Mathematics) · MCQ · Probability: Probability a 4-digit number from 0-4 is divisible by 2 PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Probability: Probability the number is divisible by 3 PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Probability: Probability the number is divisible by 4 PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Probability: Probability the number is divisible by 6 PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Probability: Probability the number contains no zero PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Probability: Sum of three probabilities of exhaustive events in proportion PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Probability: Ratio of linear combinations of the event probabilities PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Probability: Nine times the geometric mean of four event probabilities PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Probability: Probability that four dice total 6 PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Probability: Probability that four dice total at least 23 PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Correlation and Regression: Correlation coefficient from two regression lines PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Sum of (2xᵢ + 4) given the mean of 20 observations PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Bayes Theorem: Probability a student guessed given a correct answer PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Probability: Possibility of combined events of A, B, C PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Standard deviation after multiplying observations by 5 PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Binomial Distribution: P(X = 0) for mean 6 and standard deviation √2 PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Variance of Y = 2X - 5 PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Probability: P(C) given disjoint and independent event conditions PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Mean deviation about the mean for grouped marks PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Standard deviation of the grouped marks distribution PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Variance after scaling by 2 and subtracting 7 PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Standard deviation of Y = 3X + 4 PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Binomial Distribution: P(X = 0) for mean 4 and standard deviation √3 PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Correlation and Regression: Regression lines when correlation is zero PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability: Probability that four dice total 7 PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Probability: Value of k from given event probabilities PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Conditional Probability: Probability a selected woman belongs to a senior subgroup PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Correlation and Regression: Regression coefficient from SDs and correlation PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Conditional Probability: Pass in Statistics given pass in Mathematics PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Coefficient of variation from mean and SD PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Probability: Two dice sum is neither 5 nor 7 PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Probability: Probability inequalities for three events PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Probability: Chance the problem is solved given odds for X and Y PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Conditional Probability: Event probability from independence and conditional data PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Probability: Ratio expression for proportional exhaustive events PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Probability: Geometric mean of four event probabilities PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Probability: Harmonic mean of four event probabilities PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Probability: Probability for an ordered pick of five numbers from 1-10 PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Probability: Probability the middle of five ordered picks is 6 PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Probability: Joint probability for the three smallest ordered picks PDF
NDA2025
- Q.101 (NDA (I) Mathematics) · MCQ · Frequency Distribution: Number of students with height up to 165 cm from grouped data PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Median: Median height from a grouped frequency table PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Mode: Modal height from a grouped frequency table PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Graphical Representation: Suitable chart for a continuous frequency distribution PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Variance: Compare variances of X and Y from sums and sums of squares PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Coefficient of Variation: Compare coefficients of variation of X and Y PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Parameter p when 9P(X=4)=P(X=2) for n=6 PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Binomial Distribution: P(X=3) for the binomial distribution found above PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Probability: Probability a 6-member committee has exactly 3 gentlemen PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Probability: Probability the committee includes at least 2 ladies PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Total Probability: Probability that a bonus scheme is introduced PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Bayes Theorem: Probability manager is B given bonus scheme introduced PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Arithmetic Mean: New mean after subtracting and dividing each observation PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Standard Deviation: New standard deviation after adding and dividing each observation PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(B given complement of A) from given probabilities PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Probability: Probability of neither A nor B PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Probability: Probability that two dice sum to more than 7 PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Probability of hitting a target at least twice in 7 shots PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Number of trials from binomial mean and variance PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Arithmetic Mean: Mean of squares from 8 to 15 PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Harmonic Mean: Harmonic mean of five binomial coefficients C(10,r) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Probability: Probability that three independent farmers are all in debt PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Addition Theorem: Probability a family owns a laptop or a desktop PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Probability: Probability both balls drawn from an urn are red PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability: Probability of drawing one ball of each colour from an urn PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Conditions under which binomial distribution applies PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Probability: Probability two persons contradict each other PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Addition Theorem: Probability of passing English from given test probabilities PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Independent Events: Statements on exactly one and at least one of two events PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Probability: Probability of a colour sequence in three tosses of a coloured die PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Probability: Probability that no two consecutive heads occur in 4 tosses PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Probability: Probability of one prime, one composite and one neither on three dice PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Probability: Probability an integer up to 50 is divisible by neither 5 nor 9 PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Probability: Probability two chosen consecutive-run integers have an odd sum PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Standard Deviation: New standard deviation after adding 20 to each observation PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Parameter p from given P(X=1) and P(X=2) with n=5 PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Arithmetic Mean: Mean marks from a grouped frequency table PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Conditional Probability: P(B given A) from P(A), P(B) and P(A given B) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Probability: P(complement of A union B) from given probabilities PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Statements on units of mean, variance, mean deviation and SD PDF
NDA2024
- Q.101 (NDA (I) Mathematics) · MCQ · Classical Probability: Probability two balls drawn from a bag are of the same colour PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Binomial Distribution: λ from P(X=3) for a binomial with mean 5 and variance 4 PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Regression: 2a+15b for the regression line of y on x from four points PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Regression: 488tan3θ for the angle between two regression lines PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Variance of Y linearly related to a binomial X PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Averages: Average price of oil with equal spending each year PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Classical Probability: Probability both Ts are together in TIRUPATI arrangement PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Classical Probability: Probability 77^n ends in digit 1 PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Classical Probability: Probability one of three chosen numbers is product of the others PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Addition Theorem: Minimum value of P(A)+P(B) given bounds on union and intersection PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Addition Theorem: Maximum value of P(A)+P(B) given bounds on union and intersection PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Addition Theorem: Minimum of P(B∩C) for three events with given probabilities PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Addition Theorem: Maximum of P(B∩C) for three events with given probabilities PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Binomial Distribution: n from tail probabilities in n coin tosses PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Value of p+q for the coin-toss probabilities PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Σx·f for a frequency table with geometric frequencies PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Mean of a distribution with geometric frequencies PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Mean deviation of the largest five marks PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Variance of the largest five marks PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Regression: b_xy+7b_yx from two given regression lines PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: n when the mean of squares 1 to n^2 is 130 PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability three numbers chosen from 1-10 are consecutive PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Classical Probability: P(A) for exclusive exhaustive events with given ratios PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability of 4 or 5 on a non-standard die PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability three draws with replacement are same colour PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Independent Events: Probability A and C hit but B misses the target PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability consonants and vowels alternate in ZOOLOGY PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability that x^2+x>50 for x chosen from 1 to 100 PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Mean deviation of the first 10 natural numbers PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: M^2+σ^2 from the sum of squares of 9 observations PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: New mean after replacing the last observation PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability two successive heads occur in fewer than 6 tosses PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Total Probability: Probability of drawing white after transfer between urns PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Independent Events: Statements on independence and complements of A and B PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability sum of two dice is neither 9 nor 10 PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Probability 4 or more of 6 workers suffer the disease PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Conditional Probability: Probability of an ace when three dice show distinct faces PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Classical Probability: Outcomes of three dice with x<y<z PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Binomial Distribution: n and p from the mean and standard deviation PDF
NDA2023
- Q.101 (NDA (I) Mathematics) · MCQ · Mean and Variance: Missing two observations from given mean and variance (official answer: C) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Probability: Find P(B) for independent events from P(A ∪ B) (official answer: C) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Probability: Biased coin: four tails followed by a head (official answer: B) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Exactly three heads in four tosses of a biased coin (official answer: B) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Variance of Y when X + Y = 100 and X is binomial (official answer: C) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Regression: Value of x at y = -3 from two regression lines (official answer: C) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Graphical Representation: Value of 4p - q from pie chart central angle relations (official answer: D) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Mean: Compute 2m + M from means of lowest and highest dice outcomes (official answer: A) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Regression: Regression line of y on x through two data points (official answer: A) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Mode: Mode of ten dice throw outcomes (official answer: D) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Median: Median of a given frequency distribution (official answer: C) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Median: Value of 4M - N from medians of two halves of data (official answer: D) PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Mean Median Mode: Relation among mean, median and mode for a distribution (official answer: D) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Geometric Mean: Geometric mean of powers of 2 (official answer: D) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Harmonic Mean: Value of n/H for the HM of powers of 2 (official answer: B) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Value of a minimising a sum of squared deviations (official answer: C) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Conditional Probability: Probability of white after transferring balls between bags (official answer: dropped in the final key) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Probability: Three dice all showing multiples of 3 (official answer: C) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Probability: December having five Sundays (official answer: C) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Probability: Number from 1 to 50 satisfying an inequality (official answer: B) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Mean: Find n from sums of deviations from 10 and 20 (official answer: A) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Mean: Value of a sum of deviations from the mean (official answer: C) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Standard Deviation: SD from mean and sum of squares of 10 observations (official answer: D) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Probability: Sum on three dice being a perfect square (official answer: A) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability: Find 77P(A) for mutually exclusive exhaustive events (official answer: D) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Probability: Product of two distinct digits ending in 1 (official answer: D) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Probability: Difference of two dice equal to 2 or 3 (official answer: B) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Mean: Mean of 1 to 10 with binomial coefficient frequencies (official answer: C) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Exactly 2 of 5 people recovering from a disease (official answer: D) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Bayes' Theorem: Probability a collapse was due to faulty design (official answer: B) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Correlation: Correlation coefficient after linear transformations (official answer: A) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Probability: Sixth coin toss differing from the first five (official answer: C) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Harmonic Mean: HM of three binomial coefficients (official answer: C) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Probability: Two students sitting together under random seating (official answer: B) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Find p when 5P(X = 4) = P(X = 2) for n = 6 (official answer: A) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Probability: All three boys sitting together in a row (official answer: A) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Probability: Boys and girls sitting alternately (official answer: B) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Probability: No two girls sitting together (official answer: D) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Probability: Two given boys taking the end positions (official answer: A) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Probability: A given boy and girl sitting together (official answer: D) PDF
NDA2022
- Q.101 (NDA (I) Mathematics) · MCQ · Classical Probability: Probability that the product of two chosen digits ends in 0 (official answer: B) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Skewness: Order of mean, median, mode for a left-skewed curve (official answer: D) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Variance: Missing observation from a known variance (official answer: C) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Mean: Arithmetic mean of 50 terms of an AP (official answer: D) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Mean Deviation: Coefficient of mean deviation about mean for a data set (official answer: B) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Mean: Mean from sums of deviations about two values (official answer: D) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Mean: Sum of deviations about 99 for the same data set (official answer: A) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Mean: Value about which the sum of deviations is 180 (official answer: C) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Mean: Mean of 51 marks in arithmetic progression (official answer: D) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Median: Median of 51 marks in arithmetic progression (official answer: B) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Median: Sum of deviations of AP marks from the median (official answer: B) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Conditional Probability: Probability of a joint event from a graduate and experience table (official answer: B) PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(G given T) from a two-way applicant table (official answer: C) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(T given G) from a two-way applicant table (official answer: D) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Probability exactly 3 of 6 workers have a disease (official answer: D) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Probability none of 6 workers has a disease (official answer: B) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Probability at least one of 6 workers has a disease (official answer: B) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Mean: Missing frequency p from total frequency and mean (official answer: C) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Mean: Missing frequency q from total frequency and mean (official answer: A) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Mean: Mean after doubling every class frequency (official answer: B) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Mean: n from difference of mean of squares and square of mean (official answer: C) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability of a composite number from 1 to 50 (official answer: B) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability that C(n, 7) is a multiple of 7 (official answer: A) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability that a sum of chosen numbers is divisible by 4 (official answer: B) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability a random number satisfies an inequality (official answer: C) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability three dice show distinct numbers in AP (official answer: B) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Probability Rules: Sum of probabilities of events from given P(A), P(B), P(A and B) (official answer: B) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability of at most four tails with five coins (official answer: A) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Classical Probability: Probability three dice total at least 15 (official answer: D) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Probability of at least one hit in 4 shots (official answer: C) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Probability exactly 3 of 5 ships arrive safely (official answer: D) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Odds: Odds against drawing a spade or an ace (official answer: A) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Correlation: Correlation of couples' ages after 25 years (official answer: C) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Total Probability: Probability a construction job is delayed given strike odds (official answer: B) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Coefficient of Variation: Subject with the highest variability of marks (official answer: D) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Coefficient of Variation: Coefficient of variation of Mathematics marks (official answer: A) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Median: Median of a grouped frequency distribution (official answer: C) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Mean Deviation: Mean deviation about a measure for grouped data (official answer: D) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Mean Deviation: Mean deviation about another measure for grouped data (official answer: B) PDF
NDA2021
- Q.101 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Whether AM and GM use all data values (official answer: C) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Graphical Representation: Pie chart angle for science graduates (official answer: B) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Graphical Representation: Histogram with unequal class widths (official answer: B) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Correlation: Invariance of correlation coefficient (official answer: C) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Median: Median of peas-per-pod frequency table (official answer: A) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Mean: Mean after shifting observations by k (official answer: B) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Mean: Sum of deviations from the mean (official answer: C) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Means (AM GM HM): Ratio of m and n from relation between HM and GM (official answer: D) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Dispersion: Variance from mean and coefficient of variation (official answer: A) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Conditional Probability: Bound on P(A|B) in terms of P(A), P(B) (official answer: C) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Data set where mean, median and mode coincide (official answer: B) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Mean: Mean of two discarded observations (official answer: B) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Geometric Mean: GM after each observation is tripled (official answer: C) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Probability Basics: Independence or exclusivity from given probabilities (official answer: A) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Mean: Change in average after correcting a misrecorded digit (official answer: C) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Probability Basics: P(E or F) for heads on two tosses (official answer: C) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Binomial Distribution: P(X=2) given binomial mean and variance (official answer: D) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Mode: Find x so that mode of scores is 15 (official answer: D) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Probability Basics: Min of P(A or B) and max of P(A and B) (official answer: C) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Probability Basics: Validity of relations among P(E), P(F) and combinations (official answer: C) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Conditional Probability: Implication of P(A|B) < P(A) for P(B|A) (official answer: A) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Dispersion: Most reliable measure of variability with the mean (official answer: C) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Independent Events: Unknown probability for a problem solved by one of three (official answer: D) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability Basics: Probability a batsman does not hit a six (official answer: D) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Regression: Identify regression lines of y on x and x on y (official answer: C) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Regression: Correlation coefficient and means from regression lines (official answer: A) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Median: Median of a marks frequency table (official answer: C) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Mode: Mode of a marks frequency table (official answer: B) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Mean: Mean of natural numbers in [15, 64] (official answer: C) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Compare mean, median, mode of a set in x (official answer: A) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Mean: New mean after a linear change to observations (official answer: B) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Geometric Mean: Bounds on GM of powers of 2 from 2 to 1024 (official answer: C) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Harmonic Mean: Find x given HM of 60 and x is 48 (official answer: C) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Dispersion: Mean deviation of first 10 even natural numbers (official answer: A) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Dispersion: Variance from sums of x and x^2 (official answer: B) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Probability Basics: Probability a 3-digit number from 1, 3, 7 is divisible by 3 (official answer: A) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Probability Basics: Probability that x^2+x+n=0 has real roots (official answer: A) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Conditional Probability: P(B|A) from given probabilities (official answer: D) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Probability Basics: No two black balls adjacent in a random row (official answer: A) PDF
NDA2020
- Q.101 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: x from frequencies and arithmetic mean (official answer: B) PDF
- Q.102 (NDA (I & II) Mathematics) · MCQ · Conditional Probability: One face is 6 when three dice show distinct faces (official answer: C) PDF
- Q.103 (NDA (I & II) Mathematics) · MCQ · Probability: Incorrect statement given union and intersection probabilities (official answer: C) PDF
- Q.104 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: n from sums of deviations about two values (official answer: D) PDF
- Q.105 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: Combined mean of two data sets (official answer: D) PDF
- Q.106 (NDA (I & II) Mathematics) · MCQ · Frequency Distribution: Interval with largest difference in student counts (official answer: C) PDF
- Q.107 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: Statements on mode and median of marks (official answer: A) PDF
- Q.108 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: Mean of physics marks from grouped data (official answer: C) PDF
- Q.109 (NDA (I & II) Mathematics) · MCQ · Measures of Dispersion: SD of a symmetric set of surds (official answer: B) PDF
- Q.110 (NDA (I & II) Mathematics) · MCQ · Measures of Dispersion: Coefficient of variation from sums (official answer: D) PDF
- Q.111 (NDA (I & II) Mathematics) · MCQ · Probability: Leap-year February with five Sundays (official answer: B) PDF
- Q.112 (NDA (I & II) Mathematics) · MCQ · Measures of Central Tendency: Corrected mean after a misread value (official answer: B) PDF
- Q.113 (NDA (I & II) Mathematics) · MCQ · Independent Events: Event with probability 11/35 for husband and wife (official answer: A) PDF
- Q.114 (NDA (I & II) Mathematics) · MCQ · Probability: All four chosen coins counterfeit (official answer: A) PDF
- Q.115 (NDA (I & II) Mathematics) · MCQ · Probability: Committee with 2 boys and 1 girl (official answer: D) PDF
- Q.116 (NDA (I & II) Mathematics) · MCQ · Probability: Both drawn lottery tickets prime (official answer: C) PDF
- Q.117 (NDA (I & II) Mathematics) · MCQ · Regression: Regression line of Y on X from summary data (official answer: B) PDF
- Q.118 (NDA (I & II) Mathematics) · MCQ · Binomial Distribution: Parameters of 10 - X for a binomial X (official answer: D) PDF
- Q.119 (NDA (I & II) Mathematics) · MCQ · Conditional Probability: Statements on complement probabilities (official answer: D) PDF
- Q.120 (NDA (I & II) Mathematics) · MCQ · Bayes Theorem: Share of cake failures caused by cook X (official answer: B) PDF
NDA2019
- Q.101 (NDA (I) Mathematics) · MCQ · Probability: Probability the 14th card drawn with replacement is an ace (official answer: D) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Probability: P(complement of A ∪ B) from given probabilities (official answer: D) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Independent Events: Probability that three students solve a problem (official answer: A) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Probability: Second die shows more than the first (official answer: C) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Probability: Coin head with an even die face (official answer: C) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Probability: Probability that at least two of three events occur (official answer: C) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Correlation: Correlation of independent variables (official answer: C) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Independent Events: P(B) from union and intersection of independent events (official answer: B) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: New mean and SD after shifting and scaling data (official answer: C) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Conditional Probability: First die is 6 given sum is 8 (official answer: C) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Probability: Two coloured dice land on the same colour (official answer: C) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Probability: Number of socks given probability both are red (official answer: B) PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Probability: Two cards with the same value (official answer: A) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Mean and SD of successes in eight die throws (official answer: B) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(A|B) when complements are mutually exclusive (official answer: B) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Statements on deviations from mean and symmetric data (official answer: A) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Correlation: Correlation after linear transformation of variables (official answer: D) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Variance of multiples of 3 of numbers up to 20 (official answer: C) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Geometric Probability: Point in a circle closer to the centre than the edge (official answer: A) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Probability: Probability of either A or B occurring (official answer: B) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Binomial Distribution: At most two tails with a biased coin (official answer: D) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Probability: All three drawn books defective (official answer: A) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Find observations from a given median (official answer: B) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: SD from mean and sum of squared deviations (official answer: A) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Regression: Means and correlation from two regression lines (official answer: C) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Frequency Distribution: Class limits from class marks (official answer: B) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Missing observations from mean and variance (official answer: B) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Sample Space: Sample space for tossing until the first head (official answer: D) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Median of a discrete frequency distribution (official answer: B) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Probability: Sum on two dice is prime (official answer: A) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Probability: None of three chosen trucks meets standards (official answer: C) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Bayes Theorem: Probability the chosen coin was two-headed (official answer: C) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Conditional Probability: Statements on exclusive events and conditional probability (official answer: B) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Exactly two sixes in four rolls (official answer: B) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: New mean and SD after adding a constant (official answer: C) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Range after a linear transformation (official answer: C) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Variance plus squared mean of first 15 numbers (official answer: C) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Average speed over two equal distances (official answer: B) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Numbers of boys and girls from mean weights (official answer: B) PDF
NDA2018
- Q.101 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Exactly 3 successes in 6 trials when mean is 3×variance (official answer: A) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Probability: Statements on probability rules (official answer: B) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Correlation: Variance of x from correlation and covariance (official answer: D) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Probability: At least one of two questions solved (official answer: B) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Mean: Mean of transformed observations (official answer: D) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Regression: Statements on regression lines for r=0 and r=±1 (official answer: D) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Regression: Means from two regression lines (official answer: C) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Effect of origin and scale on mean and variance (official answer: D) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Statements on deviations from mean and median (official answer: C) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Median: Median of a given data set (official answer: B) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Pie Chart: Pie chart angle for 20% share (official answer: C) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Coefficient of Variation: CV after adding a constant (official answer: B) PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Mean: Average speed of a train over two stages (official answer: D) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Probability: Sum of 7 on two dice (official answer: B) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Conditional Probability: Ordering of conditional probabilities given 2P(A)=3P(B) (official answer: dropped in the final key) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Probability: Second chit drawn is 9 (official answer: A) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Probability: White ball from a randomly chosen bag (official answer: B) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Probability: Statements on probabilities of combined events (official answer: B) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Probability: Committee of three with exactly two men (official answer: A) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Standard Deviation: Formula for SD of first N natural numbers (official answer: B) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Conditional Probability: Sum at least 10 given at least one die shows 5 (official answer: C) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Correlation: Variation unexplained by regression for r=0.8 (official answer: D) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Mean: Percentages of men and women from average ages (official answer: D) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability: P(A) for mutually exclusive exhaustive events (official answer: B) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Bayes Theorem: Defective bolt made by machine X (official answer: A) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Binomial Distribution: At least 6 heads when 8 coins are tossed (official answer: C) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Probability: One girl and two boys chosen from three groups (official answer: A) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Effect of adding or doubling on mean and SD (official answer: C) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Variance: Variance after adding 2 to each observation (official answer: B) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Geometric Mean: Geometric mean of the ratio X/Y (official answer: A) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Probability: Statements from P(A∩B)=p and P(exactly one)=q (official answer: C) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Regression: Regression coefficient of X on Y given r=−1 (official answer: B) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Correlation: Possible correlation when all points lie on a line (official answer: D) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Probability: Probability that |x−y|>5 for two chosen integers (official answer: C) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Variance: Combined mean and variance of wages of two firms (official answer: D) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Probability: Outcomes of three dice satisfying a condition (official answer: D) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Ogives: What can be obtained from an ogive (official answer: B) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Relation between mean deviation and SD (official answer: D) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Correlation: Case expected to show negative correlation (official answer: C) PDF
NDA2017
- Q.101 (NDA (I) Mathematics) · MCQ · Variance: New variance after multiplying data by 3 (official answer: D) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Mean: Mean after omitting incorrect observations (official answer: B) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Probability: Committee of two having only women (official answer: A) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Probability: Problem solved by at least one of three students (official answer: C) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Mean: Number of boys from combined mean weights (official answer: A) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(A|B) and P(B|A) when A ⊂ B (official answer: B) PDF
- Q.107 (NDA (I) Mathematics) · MCQ · Geometric Probability: Random point closer to centre than boundary (official answer: B) PDF
- Q.108 (NDA (I) Mathematics) · MCQ · Regression: Correlation coefficient from two regression lines (official answer: B) PDF
- Q.109 (NDA (I) Mathematics) · MCQ · Pie Chart: Pie chart angle for 40% share (official answer: C) PDF
- Q.110 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Statement pair on range as a dispersion measure (official answer: A) PDF
- Q.111 (NDA (I) Mathematics) · MCQ · Probability: Probability a card drawn is an ace (official answer: A) PDF
- Q.112 (NDA (I) Mathematics) · MCQ · Measures of Dispersion: Empirical relation among quartile, mean and standard deviation (official answer: C) PDF
- Q.113 (NDA (I) Mathematics) · MCQ · Data Representation: Forms in which data can be represented (official answer: D) PDF
- Q.114 (NDA (I) Mathematics) · MCQ · Ogives: Measure given by intersection of the two ogives (official answer: A) PDF
- Q.115 (NDA (I) Mathematics) · MCQ · Probability: Statements on mutually exclusive events (official answer: C) PDF
- Q.116 (NDA (I) Mathematics) · MCQ · Regression: Correlation from the two regression coefficients (official answer: A) PDF
- Q.117 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Effect on mean and median after correcting a value (official answer: B) PDF
- Q.118 (NDA (I) Mathematics) · MCQ · Probability: Sum on two dice neither 8 nor 9 (official answer: C) PDF
- Q.119 (NDA (I) Mathematics) · MCQ · Probability: P(A∩B̄) for mutually exclusive events (official answer: D) PDF
- Q.120 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Number of trials from binomial mean and SD (official answer: C) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Probability: Committee of two having exactly one woman (official answer: B) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Probability: Prime number on a loaded die (official answer: C) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Probability: Statements on events in sample space 0 to 50 (official answer: D) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Probability: Find P(A∩B) from given probabilities (official answer: A) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Statements on CV, range and mean deviation (official answer: B) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Mean: Mean of smallest five when SD is zero (official answer: D) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Regression: Admissible pair of regression coefficients (official answer: A) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Conditional Probability: P(B|A) from given probabilities (official answer: C) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Binomial Distribution: P(X=2) from given mean and variance (official answer: C) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Binomial Distribution: At least 4 of 5 ships arrive safely (official answer: C) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Probability: At least two of three born in same month (official answer: B) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Regression: Regression equation of X on Y (official answer: C) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Probability: P(B∩C) from given event probabilities (official answer: A) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Pie Chart: Ratio of radii for pie diagrams of two families (official answer: B) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Mean: Mean when frequencies are binomial coefficients (official answer: D) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Bayes Theorem: Probability examinee knew the answer given correct (official answer: B) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Mean: Condition for AM − GM to exceed 1 (official answer: C) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Variance: Statements on variance and coefficient of variation (official answer: B) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Probability: Three sticks chosen at random form a triangle (official answer: C) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Correlation: Correlation from two regression coefficients (official answer: C) PDF
NDA2016
- Q.91 (NDA (I) Mathematics) · MCQ · Mean Deviation: Mean deviation about the mean of five numbers (official answer: A) PDF
- Q.92 (NDA (I) Mathematics) · MCQ · Probability: Sum on three dice at least 5 (official answer: B) PDF
- Q.93 (NDA (I) Mathematics) · MCQ · Probability: Exactly one of two independent events occurs (official answer: D) PDF
- Q.94 (NDA (I) Mathematics) · MCQ · Probability: Head and tail alternately in three tosses (official answer: B) PDF
- Q.95 (NDA (I) Mathematics) · MCQ · Variance: Variance from Σx and Σx² for 20 observations (official answer: C) PDF
- Q.96 (NDA (I) Mathematics) · MCQ · Probability: Probability a drawn card is the queen of spades (official answer: A) PDF
- Q.97 (NDA (I) Mathematics) · MCQ · Probability: Probability that sum on two dice is at least 4 (official answer: C) PDF
- Q.98 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Least number of missiles for 80% chance of a hit with p=0.3 (official answer: A) PDF
- Q.99 (NDA (I) Mathematics) · MCQ · Conditional Probability: P(A|A∪B) for mutually exclusive events (official answer: B) PDF
- Q.100 (NDA (I) Mathematics) · MCQ · Probability: Probability of 5 Sundays in December (official answer: C) PDF
- Q.102 (NDA (I) Mathematics) · MCQ · Geometric Probability: Random point in 6×5 rectangle at least 1 inch from the edge (official answer: D) PDF
- Q.103 (NDA (I) Mathematics) · MCQ · Mean: New mean after replacing one observation (official answer: D) PDF
- Q.104 (NDA (I) Mathematics) · MCQ · Measures of Central Tendency: Relation among mean, median and mode of given data (official answer: D) PDF
- Q.105 (NDA (I) Mathematics) · MCQ · Histogram: Statements about histogram areas and frequency polygon (official answer: C) PDF
- Q.106 (NDA (I) Mathematics) · MCQ · Binomial Distribution: Probability of odd number of tails in 100 tosses (official answer: A) PDF
- Q.101 (NDA (II) Mathematics) · MCQ · Probability: Special die thrown thrice; sum is zero (official answer: D) PDF
- Q.102 (NDA (II) Mathematics) · MCQ · Probability: At least one rainy day in 7 days with 25% daily chance (official answer: D) PDF
- Q.103 (NDA (II) Mathematics) · MCQ · Probability: Probability of selling to customer A or B (official answer: B) PDF
- Q.104 (NDA (II) Mathematics) · MCQ · Probability: Condition on pass probabilities for success (official answer: A) PDF
- Q.105 (NDA (II) Mathematics) · MCQ · Probability: At least two of three candidates solve correctly from odds (official answer: A) PDF
- Q.106 (NDA (II) Mathematics) · MCQ · Measures of Dispersion: Statements on mean, median, range and histogram (official answer: D) PDF
- Q.107 (NDA (II) Mathematics) · MCQ · Measures of Central Tendency: Which averages change after correcting a value (official answer: D) PDF
- Q.108 (NDA (II) Mathematics) · MCQ · Regression: Regression line of y on x from summary data (official answer: B) PDF
- Q.109 (NDA (II) Mathematics) · MCQ · Coefficient of Variation: Comparing variability of two groups (official answer: D) PDF
- Q.110 (NDA (II) Mathematics) · MCQ · Frequency Distribution: Statements on class intervals of grouped data (official answer: B) PDF
- Q.111 (NDA (II) Mathematics) · MCQ · Binomial Distribution: At least one of 5 patients cured with 75% efficacy (official answer: C) PDF
- Q.112 (NDA (II) Mathematics) · MCQ · Conditional Probability: Conditional probability of complementary events (official answer: A) PDF
- Q.113 (NDA (II) Mathematics) · MCQ · Probability: Machine with three parts not stopping (official answer: C) PDF
- Q.114 (NDA (II) Mathematics) · MCQ · Probability: At least one of three independent events occurs (official answer: C) PDF
- Q.115 (NDA (II) Mathematics) · MCQ · Correlation: Correlation between x+y and x−y for uncorrelated variates (official answer: C) PDF
- Q.116 (NDA (II) Mathematics) · MCQ · Mean: Mean age from a grouped frequency table (official answer: B) PDF
- Q.117 (NDA (II) Mathematics) · MCQ · Correlation: Correlation coefficient from covariance and variances (official answer: B) PDF
- Q.118 (NDA (II) Mathematics) · MCQ · Probability: Set relations among coin-toss events (official answer: D) PDF
- Q.119 (NDA (II) Mathematics) · MCQ · Probability: Probability team A scores 5 points in 3 matches (official answer: D) PDF
- Q.120 (NDA (II) Mathematics) · MCQ · Binomial Distribution: Find p from a relation between binomial probabilities (official answer: C) PDF
Other Mathematics topics
- Algebra PYQs
- Matrices and Determinants PYQs
- Trigonometry PYQs
- Analytical Geometry (2D and 3D) PYQs
- Differential Calculus PYQs
- Integral Calculus and Differential Equations PYQs
- Vector Algebra PYQs
FAQ
How many Statistics and Probability questions come in NDA?
In the official papers we tagged: 40 in 2026 (2 papers), 40 in 2025 (2 papers), 39 in 2024 (2 papers), 40 in 2023 (2 papers), 39 in 2022 (2 papers), 39 in 2021 (2 papers), 20 in 2020 (1 paper), 39 in 2019 (2 papers), 39 in 2018 (2 papers), 40 in 2017 (2 papers) and 35 in 2016 (2 papers). That is 410 questions in all, about 16% of Mathematics.
Which Statistics and Probability topics repeat in NDA?
Asked in the most papers: Binomial Distribution, Conditional Probability, Probability. The concept table lists every one with its count.
Are these official NDA questions?
Yes. Every question is from an official NDA paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.