Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 38

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CAT

IMPORTANT

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When a natural number divided by a certain divisor, we get $15$ as a remainder. But when the $10$ times of the same number is divided by the same divisor we get $6$ as a remainder. The maximum possible number of such divisors is :

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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 39

A certain number '

C

' when divided by

N_{1}

it leaves a remainder of

13

and when it is divided by

N_{2}

it leaves a remainder of

1

, where

N_{1}

and

N_{2}

are the positive integers. Then the value of

N_{1} + N_{2}

is, if

\frac{N_{1}}{N_{2}} = \frac{5}{4}

:

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IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 40

In the above problem the value of

c

is

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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 41

In how many ways can a rod of length

19.5 m

be broken into equal lengths of

65 c m

?

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 42

A six digit number which is consisting of only one digits either

1, 2, 3, 4, 5, 6, 7, 8

or

9

, e.g.,

111111

,

222222

... etc. This number is always divisible by :

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 43

The maximum possible difference between the

4

digit numbers formed by using the

4

different digits

1,2,3, 5

is :

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 44

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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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 :

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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.