# IMO- Mathematics Olympiad Class 10: Questions 553 - 558 of 958

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## Question number: 553

MCQ▾

### Question

One fourth of a head of cows is in the forest. Twice the square root of the head has gone to mountains, and of the remaining, 15 are on the bank of a river. The total number of cows is ________

### Choices

Choice (4) Response

a.

63

b.

100

c.

36

d.

6

## Question number: 554

MCQ▾

### Question

P is thrice good a workman as Q and therefore is able to finish a job in 40 days less than Q. Working together they can do it in ________ days.

### Choices

Choice (4) Response

a.

15

b.

14

c.

10

d.

16

## Question number: 555

MCQ▾

### Question

A girl calculates that the probability of her winning the first prize in a lottery is 0.15. If 8000 tickets are sold, how many tickets has she bought?

### Choices

Choice (4) Response

a.

1600

b.

1200

c.

1800

d.

1400

## Question number: 556

MCQ▾

### Question

A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets, taken by him, before his last match, is ________

### Choices

Choice (4) Response

a.

78

b.

64

c.

85

d.

72

## Question number: 557

MCQ▾

### Question

If compound interest on a certain sum for 2 years is Rs. 451 the simple interest will be ________

### Choices

Choice (4) Response

a.

325

b.

352

c.

440

d.

625

## Question number: 558

MCQ▾

### Question

a, b, c are real numbers such that and Prove that . When does the equality hold?

### Choices

Choice (4) Response

a.

Equality hold when and

b.

Equality hold when and

c.

Equality hold when and

d.

Equality hold when and

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