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

MEDIUM

CAT

IMPORTANT

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$x y$ 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:

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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 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

:

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)

?