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A number when successively divided by and leaves the remainders and respectively. What is the remainder when the same number is divided by ?
(a)
(b)
(c)
(d)

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Important Questions on Number System
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IMPORTANT
How many times shall the keys of a typewriter have to be pressed in order to write the numbers from to (both inclusive)?

EASY
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IMPORTANT
If is multiplied by a certain number , it is increased by . Find the approximate value of .

EASY
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IMPORTANT
The quotient arising from dividing a number by is , and the remainder is . Find the number.

EASY
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IMPORTANT
Find the number of different divisors contained in .

EASY
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IMPORTANT
If is divisible by , then the digit in place of is:

EASY
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IMPORTANT
If is divisible by and , then what are values of the digits and ?

MEDIUM
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IMPORTANT
A six digit number is formed by repeating a three digit number; for example or etc. Any number of this form is always exactly divisible by:

MEDIUM
CISF Head Constable
IMPORTANT
Find the value of .
