# IMO- Mathematics Olympiad Class 10: Questions 505 - 509 of 958

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## Question number: 505

MCQ▾

### Question

If 2 man or 3 women or 4 boys can do a piece of work in 60 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in ________

### Choices

Choice (4) Response

a.

51 days

b.

50 days

c.

49 days

d.

52 days

## Question number: 506

MCQ▾

### Question

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

### Choices

Choice (4) Response

a.

16

b.

10

c.

4

d.

15

## Question number: 507

MCQ▾

### Question

Ramesh travels a certain distance at 6 km/hr and reaches 20 min. late. If he travels at 8 km/hr, he reaches 20 min. earlier. The distance he has to travel is ________

### Choices

Choice (4) Response

a.

8 km

b.

6 km

c.

7 km

d.

5 km

## Question number: 508

MCQ▾

### Question

X, Y and Z start at the same time in the same direction to run around a circular stadium. X completes a round in 160 seconds, Y in 260 seconds and Z in 200 seconds, all starting at the same point. After what time will they meet again at the starting point?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 509

MCQ▾

### Question

A train 100 meters long moving at a speed of 50 km/hr crosses a train 120 meters long coming from opposite direction in 6 seconds. The speed of second train is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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