List of top Quantitative Ability and Data Interpretation Questions on Arithmetic and Geometric Progressions

In a Geometric Progression, 3\(^{rd}\) term is 12, and 6\(^{th}\) term is 96. Find sum of first 5 terms.

In a school, the number of students in each class, from Class I to X, in that order, are in an arithmetic progression. The total number of students from Class I to V is twice the total number of students from Class VI to X.
If the total number of students from Class I to IV is 462, how many students are there in Class VI?

Based on the given pattern find the next term of the given series: 5, 6, 16, 57, 244, 1245, ?

The mean of \(n\) terms of an arithmetic progression is \(\bar{x}\). If the sum of \((n-1)\) terms is \(k\), find the \(n\)th term.

Directions for questions 67 to 70: Seven integers A, B, C, D, E, F and G are to be arranged in increasing order such that:
(i) The first four numbers, in this increasing order, are in arithmetic progression (A.P.).
(ii) The last four numbers, in this increasing order, are in geometric progression (G.P.).
(iii) There is exactly one number between E and G, in the increasing order.
(iv) There is no number between A and B, in the increasing order.
(v) D is the smallest number and E is the greatest number.
(vi) \[ \frac{A}{D}=\frac{G}{C}=\frac{F}{A}>1 \]
(vii) E = 960

67. \(\dfrac{E}{A} = ?\)

Directions for questions 67 to 70: Seven integers A, B, C, D, E, F and G are to be arranged in increasing order such that:
(i) The first four numbers, in this increasing order, are in arithmetic progression (A.P.).
(ii) The last four numbers, in this increasing order, are in geometric progression (G.P.).
(iii) There is exactly one number between E and G, in the increasing order.
(iv) There is no number between A and B, in the increasing order.
(v) D is the smallest number and E is the greatest number.
(vi) \[ \frac{A}{D}=\frac{G}{C}=\frac{F}{A}>1 \]
(vii) E = 960

68. D = ?

Directions for questions 67 to 70: Seven integers A, B, C, D, E, F and G are to be arranged in increasing order such that:
(i) The first four numbers, in this increasing order, are in arithmetic progression (A.P.).
(ii) The last four numbers, in this increasing order, are in geometric progression (G.P.).
(iii) There is exactly one number between E and G, in the increasing order.
(iv) There is no number between A and B, in the increasing order.
(v) D is the smallest number and E is the greatest number.
(vi) \[ \frac{A}{D}=\frac{G}{C}=\frac{F}{A}>1 \]
(vii) E = 960

69. The common difference in the A.P. is:

Directions: Seven integers A, B, C, D, E, F and G are to be arranged in increasing order such that:
(i) The first four numbers (in this increasing order) are in arithmetic progression.
(ii) The last four numbers (in this increasing order) are in geometric progression.
(iii) There is exactly one number between E and G.
(iv) There is no number between A and B.
(v) D is the smallest number and E is the greatest.
(vi) \( \dfrac{A}{D} = \dfrac{G}{C} = \dfrac{F}{A} > 1 \)
(vii) E = 960

The position and value of A is: