How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 175

EASY

CAT

IMPORTANT

Earn 100

How many numbers in the form of $(2^{n} - 1)$ which are less than $5000$ are prime?

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Important Questions on Number Systems

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 1

The arithmetic mean of two numbers is smaller by

24

than the larger of two numbers and the GM of the same two numbers exceeds by

12

the smaller of the numbers. Find the numbers.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 2

Find the number of numbers between

200

and

300

, both included, which are not divisible by

2, 3, 4

and

5

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 3

Given

x

and

n

are integers,

(15 n^{3} + 6 n^{2} + 5 n + x) / n

is not an integer for what condition?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 4

The unit digit in the expression

36^{234} \times 33^{512} \times 39^{180} - 54^{29} \times 25^{123} \times 31^{512}

will be:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 5

The difference of

10^{25} - 7

and

10^{24} + x

is divisible by

3

for

x = ?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 7

if a number is multiplied by

22

and the same number is added to it, then we get a number that is half the square of that number. Find the number.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 9

The mean of

1, 2, 2^{2}, . . . . . . . . . . . 2^{31}

lies in between

:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 10

x y

is a number that is divided by

a b

where

x y < a b

and gives a result

0 . x y x y x y

then

a b

equals: