How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 51

EASY

CAT

IMPORTANT

Earn 100

Some birds settled on the branches of a tree. First, they sat such that there was one bird present on each branch, and as such, there was one bird too many. Next, they sat such that there were two birds present on each branch, and as such, there was one branch too many. How many branches were there on the tree?

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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 52

The square of a number greater than

1000

that is not divisible by three, when divided by three, leaves a remainder of _____.

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

.