How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 20

MEDIUM

CAT

IMPORTANT

Earn 100

$[\frac{3^{32}}{50}]$ gives a remainder and ${.}$ denotes the fractional part of that. The fractional part is of the form $(0 . b x)$ . The value of $x$ could be:

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Important Questions on Number Systems

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 21

The sum of two numbers is

20

and their Geometric mean is

20 %

lower than their arithmetic mean. Find the ratio of numbers.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 22

The highest power on

990

that will exactly divide

1090!

is

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 24

The last two digit in the multiplication of

35.34.33.32.31.30.29.28.27.26

is:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 25

The expression

333^{555} + 555^{333}

is divisible by:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 26

[x]

denotes the greatest integer value just below

x

and

\{x\}

its fractional value. The sum of

{[x]}^{2}

and

{\{x\}}^{1}

is

25.16

. Find

x

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 27

If we add the square of the digit in the tens place of a positive two-digit number to the product of the digits of that number, we shall get

52

, and if we add the square of the digit in the units place to the same product of the digits, we shall get

117

. Find the two-digit number.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 28

Find two numbers such that their sum, their product and the difference of their squares are equal.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Review Tests - Block I>Review Test 2>Q 14

If

146!

is divisible by

6^{n}

, then find the maximum value of

n

.