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

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Find the number of numbers between $200$ and $300$ , both included, which are not divisible by $2, 3, 4$ and $5$ .

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Important Questions on Number Systems

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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?

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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:

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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 = ?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 6

Find the value of

x

in

\sqrt{x + 2 \sqrt{x + 2 \sqrt{x + 2 \sqrt{3 x}}}} = x

.

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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.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 8

\frac{12^{55}}{3^{11}} + \frac{8^{48}}{16^{18}}

will give the digit at unit's place as:

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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

:

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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: