IMO- Mathematics Olympiad Class 8: Questions 570 - 576 of 1029

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Question number: 570

» Direct and Inverse Proportions

MCQ▾

Question

If 4 men take an hour to dig a ditch, how long should it take 10 men to dig a ditch of the same type?

Choices

Choice (4) Response
a. 20 min
b.

23 min

c.

24 min

d.

30 min

Question number: 571

» Exponents and Powers

MCQ▾

Question

Number of prime factors in 69×(35)15(21)5×(14)9 is

Choices

Choice (4) Response
a.

20

b.

28

c.

23

d.

22

Question number: 572

» Direct and Inverse Proportions

MCQ▾

Question

If A: B = 3: 4 and B: C = 5: 6, then C: A is equal to, ________.

Choices

Choice (4) Response
a.

15: 14

b.

24: 15

c.

12: 23

d.

25: 14

Question number: 573

» Exponents and Powers

MCQ▾

Question

The value of x+x(xx) when x=3 is________.

Choices

Choice (4) Response
a.

80

b.

81

c.

85

d.

84

Question number: 574

» Direct and Inverse Proportions

MCQ▾

Question

A cistern has two inlets A and B which can fill it in 10 minutes and 20 minutes respectively. An outlet C can empty the full cistern in 4 minutes. If all the pipes are opened together in the empty tank, time taken to fill the tank completely is ________.

Choices

Choice (4) Response
a.

25 minutes

b.

20 minutes

c.

15 minutes

d.

10 minutes

Question number: 575

» Exponents and Powers

MCQ▾

Question

Number of prime factors in 214×(10)25×(14)12(35)11 is

Choices

Choice (4) Response
a.

73

b.

60

c.

66

d.

70

Question number: 576

» Direct and Inverse Proportions

MCQ▾

Question

A water tank is two-fifth full. Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

Choices

Choice (4) Response
a.

4.8 minutes

b.

5 minutes

c.

4 minutes

d.

5.5 minutes

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