# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 405 - 413 of 1022

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## Question 405

### Question

MCQ▾

What is the value of at ?

### Choices

Choice (4)Response

a.

0

b.

ac

c.

ab

d.

## Question 406

### Question

MCQ▾

When a number is reduced by 12, it becomes 20 % of itself. Find the number.

### Choices

Choice (4)Response

a.

15

b.

30

c.

12

d.

25

## Question 407

### Question

MCQ▾

The value of is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 408

### Question

MCQ▾

Two numbers are 15 % and 30 % less than a third number respectively. How much % is the second number less than the first?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 409

### Question

MCQ▾

A number P exceeds Q by 50 % . By what percentage is P more than Q?

### Choices

Choice (4)Response

a.

30 %

b.

50 %

c.

55 %

d.

35 %

## Question 410

### Question

MCQ▾

Two numbers are in the ratio of 5: 4. If 5 be added to both, their ratio changes to 6: 5. The smaller number is ________.

### Choices

Choice (4)Response

a.

25

b.

32

c.

36

d.

20

## Question 411

MCQ▾

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 412

### Question

MCQ▾

A contractor employed 210 men to build a house in 60 days. After 12 days, he was joined by 70 more men. In how many days will the remaining work be finished?

### Choices

Choice (4)Response

a.

40 days

b.

36 days

c.

38 days

d.

35 days

## Question 413

### Question

MCQ▾

Step 1:

Step 2:

Step 3:

Are the above given steps showing simplification of algebraic expression

?

### Choices

Choice (4)Response

a.

Yes

b.

Only step 1 is correct

c.

Only step 1 and 2 are correct

d.

No