How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 164

EASY

CAT

IMPORTANT

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Find the remainder when the sum of $15$ consecutive natural numbers starting from $3671$ is divided by $3670$ .

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Important Questions on Number Systems

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 165

X

is a number formed by writing

9

for

99

times. What will be the remainder of this number when divided by

7 ?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 166

Find the remainder of

\frac{2^{41}}{41}

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 167

Find the remainder when $40!$ is divided by $41$ .

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 168

Find the remainder when

(x^{4} + 3 x^{3} + 4)

is divided by

(x + 3)

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 169

If

X

is a prime number then for how many values of

X

,

(X^{2} + 7)

is also a prime number?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 170

If

X = 99^{3} - 63^{3} - 36^{3}

, then the number of factors of

X

are:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 171

if

x

is a natural number and

4 < x < 50

, then the largest

n

, such that

n!

would always divide

x (x^{2} - 1) (x^{2} - 4) (x^{2} - 9) (x + 4)

is?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 172

if

X

is a natural number and

X!

ends with

Y

zeroes then the number of zeroes at the end of

5 X!

is: