Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 22

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If $2^{36} - 1 = 68 a 1, 94, 76, 735$ , where ' $a$ ' is any digit, than the value of ' $a$ ' is

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Important Questions on Number System

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 23

Let

x

be the product of two number

3, 659, 893, 456, 789, 325, 678

and

342, 973, 489, 379, 256

. The number of digits in

x

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 24

When a natural number

N

is divided by

5

, the remainder is

2

, when divided by

7

, the remainder is

3

, when divided by

9

, the remainder is

4

. If

N

is the smallest number, then the sum of the digits of

N

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 25

Let

x

be an odd natural number. If

x

is divided by

6

, it leaves a remainder

y

. If

y^{2}

is divided by

4

, it leaves the remainder of

z

. Which of the following must be true for

z

?

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 26

The number

(2^{48} - 1)

is exactly divisible by two numbers between

60

and

70

. The numbers are:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 27

If we multiplied a natural number by

18

and another by

21

and added the products. Which one of the following could be the sum?

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 28

If the sum of two numbers be

a

and their product be

b

, then the sum of their reciprocals is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 29

In a division sum, the divisor is

12

times the quotient and

5

times the remainder. If the remainder is

36

, then the dividend is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 30

An

89

digit number is formed by writing first

49

natural numbers in front of each other as

1 2 3 4 5 . . . 48 49

. Find the remainder when this number is divided by

125

.