Permutations & Combinations · NDA previous year questions

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2022 9 questions

Q12022 · 4 Sept 2022
How many four-digit natural numbers are there such that all of the digits are odd ?
1. A.625
2. B.400
3. C.196
4. D.120
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Answer: A
Q22022 · 4 Sept 2022
What is $\sum_{r = 0}^{n} 2^{r} C (n, r)$ equal to ?
1. A. $2^{n}$
2. B. $3^{n}$
3. C. $2^{2 n}$
4. D. $3^{2 n}$
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Answer: B
Q32022 · 4 Sept 2022
If different permutations of the letters of the word 'MATHEMATICS' are listed as in a dictionary, how many words (with or without meaning) are there in the list before the first word that starts with C ?
1. A.302400
2. B.403600
3. C.907200
4. D.1814400
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Answer: C
Q102022 · 4 Sept 2022
Consider the following statements : 1. $2 + 4 + 6 + ........ + 2 n = n^{2} + n$ 2. The expression $n^{2} + n + 41$ always gives a prime number for every natural number n Which of the above statements is/are correct ?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
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Answer: A
Q1112022 · 4 Sept 2022
A box contains 2 white balls, 3 black balls, and 4 red balls. What is the number of ways of drawing 3 balls from the box with at least one black ball?
1. A.84
2. B.72
3. C.64
4. D.48
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Answer: C
Q12022 · 10 Apr 2022
1. A.0
2. B.always positive
3. C.always negative
4. D.positive if p, q, r are positive else negative
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Answer: C
Q22022 · 10 Apr 2022
1. A.3
2. B.12
3. C.14
4. D.15
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Answer: B
Q162022 · 10 Apr 2022
How many permutations are there of the letters of the word 'TIGER' in which the vowels should not occupy the even positions ?
1. A.72
2. B.36
3. C.18
4. D.12
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Answer: B
Q492022 · 10 Apr 2022
In how many ways can a team of 5 players be selected out of 9 players so as to exclude two particular players ?
1. A.14
2. B.21
3. C.35
4. D.42
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Answer: B