How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 113

EASY

CAT

IMPORTANT

Earn 100

The highest power of $3$ that completely divides $40!$ is _____.

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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 114

\frac{53!}{3^{n}}

is an integer. Find the highest possible value of

n

for this to be true.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 115

The highest power of

7

that completely divides

80!

is _____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 116

\frac{115!}{7^{n}}

is an integer. Find the highest possible value of

n

for this to be true.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 117

The highest power of

12

that completely divides

122!

is _____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 118

\frac{155!}{20^{n}}

is an integer. Find the highest possible value of

n

for this to be true.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 119

The minimum value of

x

so that

\frac{x^{2}}{1024}

is a positive integer is _____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 120

Find the sum of all two-digit natural numbers which leave a remainder of

3

when divided by

7

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 121

How many numbers between

1

and

200

are divisible by exactly two of

3

,

9

, and

27

?