Sequences & Series · NDA previous year questions

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2022 8 questions

Q242022 · 10 Apr 2022
If a, b, c are in GP where $a > 0$ , $b > 0$ , $c > 0$ , then which of the following are correct? 1. $a^{2}$ , $b^{2}$ , $c^{2}$ are in GP 2. $\frac{1}{a}$ , $\frac{1}{b}$ , $\frac{1}{c}$ are in GP 3. $a$ , $b$ , $c$ are in GP Select the correct answer using the code given below :
1. A.1 and 2 only
2. B.2 and 3 only
3. C.1 and 3 only
4. D.1, 2 and 3
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Answer: D
Q252022 · 10 Apr 2022
If $\frac{a + b}{2}, b, \frac{b + c}{2}$ are in HP, then which one of the following is correct?
1. A.a, b, c are in AP
2. B.a, b, c are in GP
3. C.a + b, b + c, c + a are in GP
4. D.a + b, b + c, c + a are in AP
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Answer: B
Q262022 · 10 Apr 2022
What is value of $cot^{2} 1 5^{\circ} + tan^{2} 1 5^{\circ}$ ?
1. A.12
2. B.14
3. C. $83$
4. D.4
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Answer: B
Q512022 · 10 Apr 2022
If the sum of the first 9 terms of an AP is equal to sum of the first 11 terms, then what is the sum of the first 20 terms ?
1. A.20
2. B.10
3. C.2
4. D.0
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Answer: D
Q522022 · 10 Apr 2022
If the $5^{th}$ term of an AP is $\frac{1}{10}$ and its $1 0^{th}$ term is $\frac{1}{5}$ , then what is the sum of first 50 terms?
1. A.25
2. B. $25 \cdot 5$
3. C.26
4. D. $26 \cdot 5$
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Answer: B
Q532022 · 10 Apr 2022
What is $(1110011)_{2} \div (10111)_{2}$ equal to?
1. A. $(101)_{2}$
2. B. $(1001)_{2}$
3. C. $(111)_{2}$
4. D. $(1011)_{2}$
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Answer: A
Q542022 · 10 Apr 2022
If $x^{3} + y^{3} = (100010111)_{2}$ and $x + y = (11111)_{2}$ , then what is $(x - y)^{2} + x y$ equal to?
1. A. $(1101)_{2}$
2. B. $(1001)_{2}$
3. C. $(1011)_{2}$
4. D. $(1111)_{2}$
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Answer: B
Q552022 · 10 Apr 2022
Consider the inequations 5x - 4y + 12 < 0, x + y < 2, x < 0 and y > 0. Which one of the following points lies in the common region?
1. A.(0, 0)
2. B.(-2, 4)
3. C.(-1, 4)
4. D.(-1, 2) 2 2 2
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Answer: D