IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 573 - 578 of 968

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Question 573

Question

MCQ▾

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 574

Question

MCQ▾

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.

48

b.

45

c.

47

d.

46

Question 575

Question

MCQ▾

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.

750 gms

b.

660 gms

c.

860 gms

d.

760 gms

Question 576

Question

MCQ▾

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

Choices

Choice (4)Response

a.

₹ 712.50

b.

₹ 787.50

c.

₹ 750

d.

₹ 697.50

Question 577

Question

MCQ▾

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.

7.2 km

b.

6 km

c.

4.5 km

d.

12 km

Question 578

Question

MCQ▾

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.