1 
If the first, third and thirteenth terms of an arithmetic progression are in geometric progression, ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

2 
If log 3 2 , log 3 ( 2 x −5) and log 3 ( 2 x −7/2) are in AP, then fi...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Logarithms
Sequences and Series
AP, GP
AP

3 
Let Sk be the sum of the first k terms of the arithmetic progression t1, t2, ..., tk. If Sm/Sn = m2/...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

4 
If the roots of 10 x 3 −c x 2 −54x−27=0 are in H.P, then find the value of c :...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

5 
If three positive real numbers a, b, c are in A.P. such that abc = 4, then minimum value of b ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

6 
If the sum of four natural numbers in AP is 60 and the sum of their squares is 920, find the smalles...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

7 
If a, b and c are in A.P. then a 3 + c 3 −8 b 3 is equal to: ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

8 
A twodigit number is such that it is the product of two distinct perfect squares. The tens digit, u...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP
Theory of Numbers
Numbers, Properties & Operations

9 
If x, 2y, and 3z are in A.P. where, the distinct numbers x, y, z are in G.P., then the common ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP
