1 Consider a, b and c in a G.P. such that | a+b+ c |=15 . The median of these three terms is a , and b...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
2 Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequen...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
3 Second term of a geometric progression is 1000 and the common ratio is = 1/n, where n is a natural n...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
4 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
5 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
6 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
7 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
8 ( 1− 1 3 )⋅( 1− 1 4 )⋅...⋅( 1− 1 n ) equals ...
CAT Quantitative Ability Algebra Sequences and Series
9 The ratio of the sum to n terms of two APs is (7n+1): (4n+27), then the ratio of their 9th term...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
10 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
11 A sequence 192, 360, 576……. is formed by multiplying the corresponding terms of two di...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
12 A child tore off one leaf from a book having page number from 1 to N. Summation of the remaining num...
CAT Quantitative Ability Algebra Sequences and Series AP, GP Applications of AP and GP
13 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
14 If 1/(b+c), 1/(c+a), 1/(a+b) are in A.P., then what is true about a2,b2,c2? ...
CAT Quantitative Ability Algebra Sequences and Series
15 If ( 2 + 4 + 6 +... 50 terms ) (1 + 3 +&nbsp...
CAT Quantitative Ability Algebra Sequences and Series AP, GP
16 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
17 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
18 Aditya has a collection of cube-shaped toys where each of his cubes is of a different size. Before h...
CAT Quantitative Ability Algebra Sequences and Series HP and Other Sequences and Series
19 Find the sum to n terms of the series 1 √1+√3 + 1 √3+√5 + 1 &radic...
CAT Quantitative Ability Algebra Sequences and Series HP and Other Sequences and Series
20 An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral t...
CAT Quantitative Ability Algebra Sequences and Series
21 If S = 1 + x + x2+ x3+ --- to infinity, then x =
CAT Quantitative Ability Algebra Sequences and Series
22 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