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CAT

IMPORTANT

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The sum of all digits except the unity that can be substituted at the place of $k$ inorder to be divisible by $8$ in the number $23487 k 2$ :

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Important Questions on Number System

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 45

A certain number

N

when multiplied by

13

, the resultant values consists entirely of sevens. The value of

N

is :

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 46

A teacher who teaches online at Lamamia wrote a

90

digit positive number

112222333333 \dots

in his laptop. Then he inserted a three-digit number between any two distinct digits. Now the new number cannot be perfectly divisible by

11 .

Find the number of possible values of three digit numbers.

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 47

A natural number is divisible by

1125

, which consists of only

0

s and

1

s. Minimum how many

0 s

and

1 s

are there in such a number?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 48

A ten-digit number containing each distinct digit only once. The ten-digit number is divisible by

10

. If the last digit is eliminated, the remaining number is divisible by

9

. If the last

2

digits are eliminated, the remaining number is divisible by

8

. If the last three digits are eliminated, the remaining number is divisible by

7

. And so on. Find the number

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 49

What is the smallest

9

digit number containing all the non-zero digits

1, 2, \dots, 9

, which is divisible by

99 ?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 50

An uninitiated student once visited a test prep portal www. Lamamia.in to assess her quantitative ability for SSC CGL. She took a test in which there were total

18

problems each with four options

- A, B, C

and

D

. After glancing through the whole test paper she realized that she was not able to crack even a single problem, so she marked the choice

A

in all the problems. Then after a while she changed the answers by marking

B

in each third problem, starting with the third problem. Unsatisfied with her answers, she again changed the answers by marking

C

in each second problem, starting with the second problem. In her final attempt to guess the answers, she changed the answers by marking

D

in each ninth problem, starting with the ninth problem. While. changing the answers she moves from the first to the last problem in an orderly way. What are the numbers of final answers that she marked in terms of

A, B, C and D

, respectively?

EASY

CAT

IMPORTANT

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

The square root of

6280036

is :

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 2

The square root of

1296

is :

The sum of all digits except the unity that can be substituted at the place of k inorder to be divisible by 8 in the number 23487k2 :

Important Questions on Number System

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The sum of all digits except the unity that can be substituted at the place of $k$ inorder to be divisible by $8$ in the number $23487 k 2$ :