# IMO- Mathematics Olympiad Class 8: Questions 518 - 523 of 1029

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## Question number: 518

MCQ▾

### Question

For a group of 20 students food lasts for 55 days. For how many days will the same food last for 50 students?

### Choices

Choice (4) Response

a.

12 days

b.

11 days

c.

22 days

d.

21 days

## Question number: 519

Match List-Ⅰ List-Ⅱ▾

### Question

Match the following provided that a and b are any rational numbers different from zero andx, y are any rational numbers.
List-Ⅰ (Terms With Same Base Different Exponents) List-Ⅱ (Uses Of Basic Exponent Rule)

(A)

(i)

(B)

(ii)

(C)

(iii)

### Choices

Choice (4) Response
• (A)
• (B)
• (C)

a.

• (iii)
• (ii)
• (i)

b.

• (ii)
• (i)
• (iii)

c.

• (i)
• (ii)
• (iii)

d.

• (i)
• (iii)
• (ii)

## Question number: 520

MCQ▾

### Question

can do a piece of work in 60 days. He works at it for 10 days and then alone finishes the work in 42 days. The two together could have completed the work in ________.

### Choices

Choice (4) Response

a.

22 days

b.

20 days

c.

30 days

d.

25 days

## Question number: 521

MCQ▾

### Question

For a group of 15 students food lasts for 50 days. For how many days will the same food last for 75 students?

### Choices

Choice (4) Response

a.

15 days

b.

25 days

c.

10 days

d.

20 days

## Question number: 522

MCQ▾

### Question

The value of is________.

### Choices

Choice (4) Response

a.

4

b.

5

c.

2

d.

1

## Question number: 523

MCQ▾

### Question

If , then is________.

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page