How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 173

HARD

CAT

IMPORTANT

Earn 100

There are $90$ questions in a test. Each correct answer fetches $1$ mark, each wrong answer and unanswered question attract a penalty of $\frac{1}{4}$ marks and $\frac{1}{8}$ marks respectively. Bilbo scored $23$ marks in the test. What is the minimum possible number of the questions wrongly answered by him?

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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 174

If

A = {n^{2 n}}^{n}, B = n^{n^{2 n}}, C = {(n^{2 n})}^{n}, D = {(n^{n})}^{n^{2}}

when

n

is a natural number and

n \neq 1

. Then arrange them in terms of their values.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 175

How many numbers in the form of $(2^{n} - 1)$ which are less than $5000$ are prime?

HARD

CAT

IMPORTANT

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

The arithmetic mean of two numbers is smaller by

24

than the larger of two numbers and the GM of the same two numbers exceeds by

12

the smaller of the numbers. Find the numbers.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 2

Find the number of numbers between

200

and

300

, both included, which are not divisible by

2, 3, 4

and

5

.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 3

Given

x

and

n

are integers,

(15 n^{3} + 6 n^{2} + 5 n + x) / n

is not an integer for what condition?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 4

The unit digit in the expression

36^{234} \times 33^{512} \times 39^{180} - 54^{29} \times 25^{123} \times 31^{512}

will be:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 5

The difference of

10^{25} - 7

and

10^{24} + x

is divisible by

3

for

x = ?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 7

if a number is multiplied by

22

and the same number is added to it, then we get a number that is half the square of that number. Find the number.