# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 152 - 157 of 929

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## Question number: 152

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MCQ▾

### Question

The given figure, PQRS is a trapezium in which ∠P= (y + 15) ˚, ∠Q= (3y + 25) ˚, ∠R = 75˚ and ∠S = x˚ then the value of x and y are________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 153

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MCQ▾

### Question

The measurement of a window is , if 12 doors are to be fixed in that window in four rows, measurements of each door should be________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 154

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MCQ▾

### Question

If two complementary angles are in the ratio 17: 13, then the angles are________

### Choices

Choice (4)Response

a.

60˚, 30˚

b.

51˚, 39˚

c.

25˚, 65˚

d.

55˚, 35˚

## Question number: 155

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MCQ▾

### Question

In the figure line a|| line b|| line c. their transversal line t1 and line t2, cut them at point X, Y, Z and J, K, L respectively. Point Y is the midpoint of segment XZ. If find and

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 156

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MCQ▾

### Question

If the perimeter of a rectangular garden plot is 80 metres, which of the following could be the length of one of its sides?

I. 30 metres

II. 40 metres

III. 50 metres

### Choices

Choice (4)Response

a.

III only

b.

I and II

c.

II only

d.

I only

## Question number: 157

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MCQ▾

### Question

The supplement of an angle is 50 more than six times its complement. Find the measure of the angle

### Choices

Choice (4)Response

a.

38˚

b.

56˚

c.

65˚

d.

82˚

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