**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. P_{6} > P_{5} and P_{6} > P_{7}, 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 |t_{8}| = |t_{16}| and t_{3} is not equal to t_{7}, what is S_{23}?**

A. 23(t_{16} - t_{8})

B. 0

C. 23t_{11}

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, p_{1} = 11, Sequence Q is defined as q_{n} = q_{n-1} – 4, q_{3} = 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 –**

Q.No. | 1. | 2. | 3. | 4. | 5. | 6. | 7. | 8. | 9. | 10. |
---|---|---|---|---|---|---|---|---|---|---|

Ans. | (B) | (A) | (A) | (B) | (A) | (A) | (B) | (D) | (A) | (B) |

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