IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 532 - 536 of 968

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Question 532

Question

MCQ▾

A rectangular carpet has an area of 60 sq. m, its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is ________

Choices

Choice (4)Response

a.

13 m

b.

5 m

c.

14.5 m

d.

12 m

Question 533

Question

MCQ▾

Shreyansh buys a watch for ₹ 1,20, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 5000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.

Choices

Choice (4)Response

a.

1,27, 000

b.

1,28, 000

c.

1,27, 750

d.

None of the above

Question 534

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.

960 gms

b.

947 gms

c.

953 gms

d.

940 gms

Question 535

Question

MCQ▾

Mihir has 125 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 536

Question

MCQ▾

The sides of a rectangular field are in the ratio . If the area of the field is 13,500 sq. m, the cost of fencing the field 50 paise per meter is ________

Choices

Choice (4)Response

a.

₹ 440

b.

₹ 340

c.

₹ 240

d.

₹ 140