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 + ...
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
|