# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 574 - 580 of 1042

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## Question 574

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### Question

MCQ▾

A cistern has two inlets A and B which can fill it in 10 minutes and 20 minutes respectively. An outlet C can empty the full cistern in 4 minutes. If all the pipes are opened together in the empty tank, time taken to fill the tank completely is ________.

### Choices

Choice (4)Response
a.20 minutes
b.10 minutes
c.15 minutes
d.25 minutes

## Question 575

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### Question

MCQ▾

Number of prime factors in is

### Choices

Choice (4)Response
a.60
b.70
c.66
d.73

## Question 576

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### Question

MCQ▾

A water tank is two-fifth full. Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

### Choices

Choice (4)Response
a.5 minutes
b.4 minutes
c.5.5 minutes
d.4.8 minutes

## Question 577

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### Question

MCQ▾

If, then the value of is________.

### Choices

Choice (4)Response
a.2
b.3
c.4
d.1

## Question 578

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### Question

MCQ▾

When simplified, is equal to________

### Choices

Choice (4)Response
a.
b.
c.
d.

## Question 579

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### Question

MCQ▾

Number of prime factors in is

### Choices

Choice (4)Response
a.4
b.9
c.6
d.8

## Question 580

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### Question

MCQ▾

A man completes of a job in 12 days. At this rate how many more days will it take him to finish the job?

### Choices

Choice (4)Response
a.23
b.27
c.24
d.26