# Playing With Numbers (IMO- Mathematics Olympiad (SOF) Class 6): Questions 43 - 50 of 86

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## Question number: 43

» Playing With Numbers

MCQ▾

### Question

A number is always divisible by 60 if

### Choices

Choice (4) Response

a.

It is divisible by both 6 and 10

b.

It is divisible by both 2 and 30

c.

It is divisible by both 4 and 15

d.

All a. , b. and c. are correct

## Question number: 44

» Playing With Numbers

MCQ▾

### Question

There are 165 pens and 195 pencils. These pens and pencils are to be arranged in bags containing the same number of pens and pencils. Then the greatest number of pens and pencils possible in each bag is

### Choices

Choice (4) Response

a.

15

b.

18

c.

13

d.

23

## Question number: 45

» Playing With Numbers

MCQ▾

### Question

Prime factorization of 1975 is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 46

» Playing With Numbers

MCQ▾

### Question

The smallest number which when divided by 20, 25, 35 and 40 and leaves a remainder of 14, 19, 29 and 34 respectively is

### Choices

Choice (4) Response

a.

1406

b.

1404

c.

1664

d.

1394

## Question number: 47

» Playing With Numbers

MCQ▾

### Question

The number 9, 675, 630 is divisible by

### Choices

Choice (4) Response

a.

5 & 9

b.

9

c.

5

d.

All of the above

## Question number: 48

» Playing With Numbers

MCQ▾

### Question

Find the greatest number which will divide the greatest 4-digit number and the greatest 5-digit number exactly.

### Choices

Choice (4) Response

a.

9

b.

8

c.

7

d.

3

## Question number: 49

» Playing With Numbers

MCQ▾

### Question

LCM of two co-prime numbers is their

### Choices

Choice (4) Response

a.

Product

b.

Sum

c.

Quotient

d.

Difference

## Question number: 50

» Playing With Numbers

MCQ▾

### Question

The smallest number which when divided by 9, 12, 24 and 30 and leaves a remainder of 2, 5, 17 and 23 respectively is

### Choices

Choice (4) Response

a.

353

b.

453

c.

657

d.

367

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