# IMO- Mathematics Olympiad Class 8: Questions 174 - 182 of 1029

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## Question number: 174

MCQ▾

### Question

A number is multiplied by itself and then 72 is subtracted from the product. If the final result is 5928, then find the original number.

### Choices

Choice (4) Response

a.

36

b.

60

c.

50

d.

62

## Question number: 175

MCQ▾

### Question

If , then the value of is________.

### Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

5

## Question number: 176

MCQ▾

### Question

Find the smallest square number which is exactly divisible by 5 6, 9 and 12 is, ________

### Choices

Choice (4) Response

a.

100

b.

180

c.

900

d.

500

## Question number: 177

MCQ▾

### Question

Square root of 6084 is________.

### Choices

Choice (4) Response

a.

77

b.

78

c.

87

d.

76

## Question number: 178

MCQ▾

### Question

If = 4, then = ________.

### Choices

Choice (4) Response

a.

100

b.

169

c.

123

d.

144

## Question number: 179

MCQ▾

### Question

The greatest four digit number, which is a perfect square is ________.

### Choices

Choice (4) Response

a.

9801

b.

9805

c.

9900

d.

9901

## Question number: 180

MCQ▾

### Question

Which of the following is not a perfect square?

### Choices

Choice (4) Response

a.

16384

b.

100489

c.

5329

d.

1638

## Question number: 181

MCQ▾

### Question

A number is multiplied by itself and then 10 is subtracted from the product. If the final result is 590, then find the original number.

### Choices

Choice (4) Response

a.

60

b.

30

c.

50

d.

36

## Question number: 182

MCQ▾

### Question

Three numbers are in the ratio of 4: 3: 2. The sum of their cubes is 21384. The numbers are________.

### Choices

Choice (4) Response

a.

b.

15: 30: 45

c.

d.

6: 12: 18

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