MEDIUM
CAT
IMPORTANT
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Find the remainder when is divided by .
(a)
(b)
(c)
(d)

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Important Questions on Number Systems
MEDIUM
CAT
IMPORTANT
Find the remainder when is divided by .

MEDIUM
CAT
IMPORTANT
Find the remainder when is divided by .

MEDIUM
CAT
IMPORTANT
Find the remainder when is divided by .

MEDIUM
CAT
IMPORTANT
Find the remainder when is divided by .

MEDIUM
CAT
IMPORTANT
Let denote the sum of the squares of the first natural numbers. For how many values of , is a multiple of ?

MEDIUM
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IMPORTANT
Let denote the sum of the cubes of the first natural numbers, for how many values will the sum of cubes of the first natural numbers be a multiple of ?

MEDIUM
CAT
IMPORTANT
How many integer values of where ?

EASY
CAT
IMPORTANT
, where the digit repeats itself times. What is the remainder left when is divided by ?
