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

HARD

CAT

IMPORTANT

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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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Important Questions on Number Systems

EASY

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:

EASY

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:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 15

Find the possible integral values of

x

in

|x - 3| + 2 |x + 1| = 4

.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 16

Find the possible integral values of

x

in

x^{2} + |x - 1| = 1

:

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 17

If

4^{n + 1} + x

and

4^{2 n} - x

are divisible by 5,

n

being an even integer, find the least value of

x

.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 18

If sum of the numbers

{(a 25)}^{2}

and

a^{3}

is divisible by

9

, then which of the following may be a value of

a

?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 19

If

| x - 4 | + | y - 4 | = 4

, then how many integer values can be set

(x, y)

?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 20

[\frac{3^{32}}{50}]

gives a remainder and

{.}

denotes the fractional part of that. The fractional part is of the form

(0 . b x)

. The value of

x

could be: