How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 56

EASY

CAT

IMPORTANT

Earn 100

The difference between two numbers is $16$ . What can be said about the total numbers divisible by $7$ that can lie in between these two numbers?

50% studentsanswered this correctly

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 57

Which of the following is true?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 58

If

3 \leq x \leq 5

and

4 \leq y \leq 7

, find the greatest value of

x y

and the least value of

\frac{x}{y}

.

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IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 59

Which of these is greater?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 60

The sum of the two numbers is equal to

15

and their arithmetic mean is

25 %

greater than their geometric mean. Find the numbers.

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CAT

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 61

Define a number

K

such that it is the sum of the squares of the first

M

natural numbers (that is,

K = 1^{2} + 2^{2} + . . . + M^{2}

), where

M < 55

. How many value of

M

exist such that

K

is divisible by

4

?

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IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 62

M

is a two-digit number which has the property that the product of factorials of its digits is greater than the sum of factorials of its digits. How many values of

M

exist?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 63

A natural number when increased by

50 %

has its number of factors unchanged. However, when the value of the number is reduced by

75 %

, the number of factors is reduced by

66.66 %

. Find the number.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 64

Find the

28383^{rd}

digit of the number:

123456789101112 . . .