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 two-digit 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