How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 17

HARD

CAT

IMPORTANT

Earn 100

If $4^{n + 1} + x$ and $4^{2 n} - x$ are divisible by 5, $n$ being an even integer, find the least value of $x$ .

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Important Questions on Number Systems

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 18

If sum of the numbers

{(a 25)}^{2}

and

a^{3}

is divisible by

9

, then which of the following may be a value of

a

?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 19

If

| x - 4 | + | y - 4 | = 4

, then how many integer values can be set

(x, y)

?

MEDIUM

CAT

IMPORTANT

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

[\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:

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:

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

.