Permutations & Combinations · NDA previous year questions

2009 3 questions

1. Q282009 · 19 Apr 2009

   In how many ways can the letters of the word 'GARDEN' be arranged so that in each word the vowels should appear in alphabetical order?

   1. A.120
   2. B.240
   3. C.360
   4. D.480
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   Answer: C

2. Q292009 · 19 Apr 2009

   If $V=\{x:x+2=0\}$, $R=\{x:x^2+2x=0\}$ and $S=\{x:x^2+x-2=0\}$, then for what value of $x$ is $V=R=S$?

   1. A.$0$
   2. B.$-1$
   3. C.$-2$
   4. D.$1$
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   Answer: C

3. Q302009 · 19 Apr 2009

   Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 teach Physics and 7 teach Chemistry. 4 teach both Mathematics and Physics, but none teach both Mathematics and Chemistry. What is the number of teachers who teach both Chemistry and Physics?

   1. A.1
   2. B.2
   3. C.3
   4. D.4
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   Answer: B