# 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