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

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CAT

IMPORTANT

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The difference of $10^{25} - 7$ and $10^{24} + x$ is divisible by $3$ for $x = ?$

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Important Questions on Number Systems

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CAT

IMPORTANT

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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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.

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IMPORTANT

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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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

:

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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:

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 11

A number

x y

is multiplied by another number

a b

and the result comes as

p q r

, where

r = 2 y, q = 2 (x + y)

and

p = 2 x

where

x, y < 5, q \neq 0

. The value of

a b

:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 13

16^{5} + 2^{15}

is divisible by:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 14

If

A B + X Y = 1 X P

, where

A \neq 0

and all the letters signify different digit from

0 t o 9

, then value of

A

is: