Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 103

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IMPORTANT

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What is the unit digit of $(7^{95} - 3^{58}) = ?$

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Important Questions on Numbers

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IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 104

What is the unit digit in the product

(71 \times 72 \times 73 \times \dots \times 79) ?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 107

If

a

and

b

are real numbers such that

ab = 0

, then:

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IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 108

If

a

and

b

are integers and

b \neq 0

, then there exist integers

q

and

r

such that:

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 109

After adding

7

to a number, the sum is multiplied by

5

and the product so obtained is divided by

9

. From the quotient so obtained

3

is subtracted to get

12

. The number is:

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 110

On dividing a number by

13

, we get

1

as remainder. If the quotient is divided by

5

, we get

3

as remainder. If this number is divided by

65

, what will be the remainder?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 111

The difference between two numbers is

1365

. On dividing the larger number by the smaller number, we get

6

as quotient and

15

as remainder. What is the smaller number?

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IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 112

A number when divided by

119

, gives

19

as remainder. If the same number is divided by

17

, what will be the remainder?

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IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 1 - Numbers>EXERCISE 1A>Q 115

On adding a natural number

P

to the product of four consecutive natural numbers, we get a perfect square number. The value of

P

is: