Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 7

EASY

CAT

IMPORTANT

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Find the remainder when $2^{0} + 2^{1} + 2^{2} + 2^{3} + \dots + 2^{255}$ is divided by $255$ .

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Important Questions on Number System

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 8

Among the expression

(1 - 3 p), [1 - (3 p)^{2}], [1 - (3 p)^{3}]

and

[1 - (3 p)^{4}]

, the number of factors of

(1 - 81 p^{4})

is:

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 9

The remainder when

x^{4} - y^{4}

is divided by

x - y

is __________

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 10

If

x - \frac{1}{x} = 2,

the value of

x^{4} + \frac{1}{x^{4}}

is

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 11

The sum and product of two numbers are

25

and

144

respectively, the difference of the numbers is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 12

The sum of two numbers is

9

and the sum of their squares is

41

. The numbers are:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 13

The square root of

\frac{{(3 \frac{1}{4})}^{4} - {(4 \frac{1}{3})}^{4}}{{(3 \frac{1}{4})}^{2} - {(4 \frac{1}{3})}^{2}}

_____.

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 14

The value of

\frac{(119)^{2} + (119) (111) + (111)^{2}}{(119)^{3} - (111)^{3}}

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 15

The value of $\frac{{(1.5)}^{3} + {(4.7)}^{3} + {(3.8)}^{3} - 3 \times 1.5 \times 4.7 \times 3.8}{{(1.5)}^{2} + {(4.7)}^{2} + {(3.8)}^{2} - 1.5 \times 4.7 - 4.7 \times 3.8 - 1.5 \times 3.8}$ is: