Permutations & Combinations · NDA previous year questions

2015 7 questions

1. Q32015 · 27 Sept 2015

   $A,B,C$ and $D$ are four sets such that $A\cap B=C\cap D=\varphi$. Consider the following: 1. $A\cup C$ and $B\cup D$ are always disjoint. 2. $A\cap C$ and $B\cap D$ are always disjoint. 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: B

2. Q142015 · 27 Sept 2015

   If $a,b,c$ are the sides of a triangle $ABC$, then $a^{\frac{1}{p}}+b^{\frac{1}{p}}-c^{\frac{1}{p}}$ where $p>1$, is

   1. A.always negative
   2. B.always positive
   3. C.always zero
   4. D.positive if $1<p<2$ and negative if $p>2$
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   Answer: B

3. Q152015 · 27 Sept 2015

   If different words are formed with all the letters of the word ‘AGAIN’ and are arranged alphabetically among themselves as in a dictionary, the word at the 50th place will be

   1. A.NAAGI
   2. B.NAAIG
   3. C.IAAGN
   4. D.IAANG
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   Answer: B

4. Q162015 · 27 Sept 2015

   The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always included, is

   1. A.165
   2. B.364
   3. C.1001
   4. D.1365
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   Answer: C

5. Q172015 · 27 Sept 2015

   A polygon has 44 diagonals. The number of its sides is

   1. A.11
   2. B.10
   3. C.8
   4. D.7
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   Answer: A

6. Q182015 · 27 Sept 2015

   The number of ways in which 3 holiday tickets can be given to 20 employees of an organization if each employee is eligible for any one or more of the tickets, is

   1. A.1140
   2. B.3420
   3. C.6840
   4. D.8000
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   Answer: D

7. Q192015 · 27 Sept 2015

   The number of 3-digit even numbers that can be formed from the digits 0, 1, 2, 3, 4 and 5, repetition of digits being not allowed, is

   1. A.60
   2. B.56
   3. C.52
   4. D.48
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   Answer: C