How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 52

EASY

CAT

IMPORTANT

Earn 100

The square of a number greater than $1000$ that is not divisible by three, when divided by three, leaves a remainder of _____.

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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 53

The value of the expression

\frac{(15^{3} \cdot 21^{2})}{(35^{2} \cdot 3^{4})}

is _____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 54

If $A = {(\frac{- 3}{4})}^{3}$ , $B = {(\frac{- 2}{5})}^{2}$ , $C = {(0.3)}^{2}$ , and $D = {(- 1.2)}^{2}$ , then _____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 55

If

2 \leq x \leq 4

and

1 \leq y \leq 3

, then find the ratio of the upper limit for

x + y

and the lower limit for

x - y

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 56

The sum of the squares of the digits constituting a positive two-digit number is

13

. If we subtract

9

from that number, we shall get a number written by the same digits in the reverse order. Find the number.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 57

The product of a natural number with the number obtained by writing the same digits in the reverse order is

2430

. Find the numbers.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 58

Find the two natural numbers whose difference is

66

, such that their least common multiple is

360

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 59

Find the pairs of natural numbers whose least common multiple is

78

, and the greatest common divisor is

13

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 60

Find two natural numbers whose sum is

85

, such that their least common multiple is

102

.