Sequences & Series · NDA previous year questions

191 questions asked across 18 exam years, newest first

Year-wise papers Topic-wise questions

Practise this topic

2012 10 questions

Q52012 · 19 Aug 2012
What is the sum of first eight terms of the series $1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + \dots\dots$ ?
1. A. $\frac{89}{128}$
2. B. $\frac{57}{384}$
3. C. $\frac{85}{128}$
4. D.None of the above
Show answer
Answer: C
Q142012 · 19 Aug 2012
FOR THE NEXT TWO (02) QUESTIONS THAT FOLLOW: The sum of first 10 terms and 20 terms of an AP are 120 and 440 respectively. What is its first term?
1. A.2
2. B.3
3. C.4
4. D.5
Show answer
Answer: B
Q152012 · 19 Aug 2012
What is the common difference?
1. A.1
2. B.2
3. C.3
4. D.4
Show answer
Answer: B
Q152012 · 15 Apr 2012
What does the series $1 + 3^{- \frac{1}{2}} + 3 + \frac{1}{3 3} + \dots$ represent?
1. A.AP
2. B.GP
3. C.HP
4. D.None of the above series
Show answer
Answer: D
Q162012 · 15 Apr 2012
If p, q, r are in AP as well as GP, then which one of the following is correct?
1. A. $p = q \neq = r$
2. B. $p \neq = q \neq = r$
3. C. $p \neq = q = r$
4. D. $p = q = r$
Show answer
Answer: D
Q532012 · 15 Apr 2012
If the sequence ${s_{n}}$ is a geometric progression and $s_{2} s_{11} = s_{p} s_{8}$ , then what is the value of p?
1. A.1
2. B.3
3. C.5
4. D.can not be determined
Show answer
Answer: C
Q602012 · 15 Apr 2012
If 1/4, 1/x, 1/10 are in HP, then what is the value of x?
1. A.5
2. B.6
3. C.7
4. D.8
Show answer
Answer: C
Q612012 · 15 Apr 2012
If $f (x y) = f (x) f (y)$ , then $f (t)$ may be of the form: where k, c are constants
1. A. $t + k$
2. B. $c t + k$
3. C. $t^{k} + c$
4. D. $t^{k}$
Show answer
Answer: D
Q622012 · 15 Apr 2012
If $A + i B = \frac{4 + 2 i}{1 - 2 i}$ where $i = - 1$ , then what is the value of A?
1. A. $- 8$
2. B.0
3. C.4
4. D.8
Show answer
Answer: B
Q1132012 · 15 Apr 2012
What is the sum of the series $1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + \dots$ equal to?
1. A.1/2
2. B.3/2
3. C.2
4. D.2/3
Show answer
Answer: D