# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 38 - 41 of 48

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## Question number: 38

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Appeared in Year: 2013

MCQ▾

### Question

There is a cone of height 12 cm, out of which a smaller cone (which is the top portion of the original cone) with the same vertex and vertical axis is cut out. What is the volume of remaining part of the cone, if the height of the smaller cone is 9 cm and ?

### Choices

Choice (4) Response

a.

345.12

b.

106.54

c.

259.56

d.

116.24

## Question number: 39

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Appeared in Year: 2013

MCQ▾

### Question

If

then the value of (x + y + z) is ________.

### Choices

Choice (4) Response

a.

b.

Can’t be determined

c.

d.

## Question number: 40

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Appeared in Year: 2013

MCQ▾

### Question

Rewrite the word VOCALIST in the numeric form by writing its first four letters in the reverse order and then the next four letters in the reverse order by substituting i by 8, o by 1, L by 3, t by 2, V by 5, S by 7, a by 9 and c by 6.

### Choices

Choice (4) Response

a.

96516783

b.

96157683

c.

96156873

d.

96152783

## Question number: 41

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Appeared in Year: 2013

MCQ▾

### Question

There is a set of four figures labelled P, Q, R and S called the Problem Figures. Select a suitable figure, so that a series is formed by figures P, Q, R and S.

### Choices

Choice (4) Response

a. Image Shows Solution Figure Choice A Image shows Solution Figure Choice A

b. Image Shows Solution Figure Choice B Image shows Solution Figure Choice B

c. Image Shows Solution Figure Choice C Image shows Solution Figure Choice C

d. Image Shows Solution Figure Choice D Image shows Solution Figure Choice D