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

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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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Important Questions on Number System

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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

.

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 31

N = (a \times b \times c \times d)

, where

a, b, c

and

d

are distinct integers lying between

- 7

and

12

, both inclusive. The minimum value of

N

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 32

The number '

a

' is exactly divisible by

7

. The remainder after the division of the number '

b

' by

7

is equal to

2

and the remainder after the division of the number

c

by

7

is equal to

6

. The remainder of the number

3 a + 5 b - 4 c

after division by

7

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 33

Any number

M

is squared to give

D

. The value of

M + D

is minimum when

M

is: