Quantitative Aptitude: Practice questions on Progression

Quantitative Aptitude Practice questions on Progression: This practice set has 10 questions with their answers & Explanatory answer covering topics from the areas of Quantitative Aptitude.

1. Second term of a GP is 1000 and the common ratio is where n is a natural number. P_n is the product of n terms of this GP. P₆ > P₅ and P₆ > P₇, what is the sum of all possible values of n?

A. 4

B. 9

C. 5

D. 13

2. Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?

A. 92

B. -92

C. 46

D. 231

3. Sum of first 25 terms in AP is 525, sum of the next 25 terms is 725, what is the common difference?

A. 8/25

B. 4/25

C. 6/25

D. 1/25

4. Let the n^th term of AP be defined as t_n, and sum up to 'n' terms be defined as S_n. If |t₈| = |t₁₆| and t₃ is not equal to t₇, what is S₂₃?

A. 23(t₁₆ - t₈)

B. 0

C. 23t₁₁

D. Cannot be determined

5. a, b, c, d and e are 5 distinct numbers that from an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b anc c. Which of the following statements are true?

i. Average of all 5 terms put together is c.
ii. Average of d and e is not greater than average of a and b.
iii. Average of b and c is greater than average of a and d.

A. i and ii only
B. ii and iii only
C. all three statements are true
D. i and iii only

6. Consider a, b, c in a G.P. such that |a + b + c| = 15. The median of these three terms is a, and b = 10. If a > c, what is the product of the first 4 terms of this G.P.?

A. 40000

B. 32000

C. 8000

D. 48000

7. If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?

A. 7 times the 13th term

B. 0

C. 13 times the 7th term

D. 4 times the 4th term + 9 times the 9th term

8. Sequence P is defined by p_n = p_n-1 + 3, p₁ = 11, Sequence Q is defined as q_n = q_n-1 – 4, q₃ = 103. If p_k > q_k+2, what is the smallest value k can take?

A. 6

B. 11

C. 14

D. 15

9. The sum of 2n terms of A.P. {1, 5, 9, 13…..} is greater than sum of n terms of A.P. = {56, 58, 60..…}. What is the smallest value n can take?

A. 9

B. 10

C. 12

D. 14

10. a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?

A. They are also in A.P.

B. They are also in H.P.

C. Theyare also in G.P.

D. Theyare not in an A.P., G.P. or H.P.

Answer Key –

Solutions Link – http://iim-cat-questions-answers.2iim.com/quant/algebra/progressions/