# IMO- Mathematics Olympiad Class 10: Questions 573 - 578 of 958

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## Question number: 573

MCQ▾

### Question

A train 200 meters long moving at a speed of 70 km/hr crosses a train 220 meters long coming from opposite direction in 10 seconds. The speed of second train is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 574

MCQ▾

### Question

The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.

### Choices

Choice (4) Response

a.

45

b.

48

c.

46

d.

47

## Question number: 575

MCQ▾

### Question

A dishonest dealer professes to sell his goods at cost price but he uses a false weight and thus gains. For a kg, he uses a weight of ________

### Choices

Choice (4) Response

a.

760 gms

b.

750 gms

c.

860 gms

d.

660 gms

## Question number: 576

MCQ▾

### Question

While selling a watch, a shopkeeper gives a discount of. If he gives a discount of, he earns Rs. 15 less as profit. The marked price of the watch is ________

### Choices

Choice (4) Response

a.

Rs. 787.50

b.

Rs. 697.50

c.

Rs. 712.50

d.

Rs. 750

## Question number: 577

MCQ▾

### Question

Suraj travels a certain distance at 3 km/hr and reaches 15 min. late. If he travels at 4 km/hr, he reaches 15 min. earlier. The distance he has to travel is ________

### Choices

Choice (4) Response

a.

12 km

b.

7.2 km

c.

6 km

d.

4.5 km

## Question number: 578

MCQ▾

### Question

If P and Q can do a work in 12 days, Q and R in 15 days, while R and P in 20 days, how long would P, Q and R alone take to do the work respectively?

### Choices

Choice (4) Response

a.

b.

c.

d.

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