Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 26

EASY

CAT

IMPORTANT

Earn 100

Recently, a small village in Tamilnadu where only male shephereds reside with four sheep each, was devastated by Tsunami waves. Therefore $8$ persons and $47$ sheep were found to be dead and the people, who luckily survived, left the village with one sheep each. Since $21$ sheep were too injured to move so have been left on their own luck in the village. The number of sheep which were earlier in the village is:

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Important Questions on Number System

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 27

The number of

3

-digit numbers which consist of the digits in A.P., strictly in increasing order using the non-zero digits of the decimal system is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 28

The sum of:

$(2^{2} + 4^{2} + 6^{2} + \dots + 100^{2}) - (1^{2} + 3^{2} + 5^{2} + \dots + 99^{2})$ is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 29

If an integer p is such that

(8 p + 1)

is prime, where

p > 2

, then

(8 p - 1)

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 30

The remainder when

3^{0} + 3^{1} + 3^{2} + \dots + 3^{200}

is divided by

13

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 31

The remainder when

4^{0} + 4^{1} + 4^{2} + 4^{3} + \dots + 4^{40}

is divided by

17

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 32

In

4^{0} + 4^{1} + 4^{2} + 4^{3} + \dots + 4^{40}

, if the divisor is

7

then the remainder is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 33

A monkey wanted to climb on the smooth vertical pole of height

35

metres. In the first one minute, he climbs up

5

metres, in the next one minute, he slips down by

2

metres. Further, he repeated the same process till he has reached onto the top of the pole. How many times it has to go upward to reach the apex of the pole ?

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 34

A monkey wanted to climb on the smooth vertical pole of a height of

35

Metres. In the first one minute he climbed up

5

Metres, in the next one minute he slipped down by

2

Metres. Further, he repeated the same process till he had reached the top of the pole. In

11^{t h}

Times he goes upward to reach the apex of the pole. So how much time he required to do this job?