IMO- Mathematics Olympiad Class 8: Questions 591 - 597 of 1029

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Question number: 591

» Direct and Inverse Proportions

MCQ▾

Question

Pipes A and B can fill a tank in 3 and 4 hours respectively. Pipe C can empty it in 8 hours. If all the three pipes are opened together, then the tank will be filled in:

Choices

Choice (4) Response

a.

192 hours

b.

332 hours

c.

252 hours

d.

352 hours

Question number: 592

» Direct and Inverse Proportions

MCQ▾

Question

If 14:1x=1x2:116 , then the value of x is________.

Choices

Choice (4) Response

a.

4

b.

10

c.

9

d.

6

Question number: 593

» Exponents and Powers

MCQ▾

Question

If ax=by=cz and a2=bc , then x equals

Choices

Choice (4) Response

a.

2yxy+z

b.

y+z2yx

c.

2yzy+z

d.

2xzx+z

Question number: 594

» Direct and Inverse Proportions

MCQ▾

Question

An agent receives a commission of Rs. 25.00 on sales of Rs. 1000.00. The commission he get on sales of Rs. 100.00 is________.

Choices

Choice (4) Response

a.

Rs 2

b.

Rs. 3

c.

Rs 3.5

d.

Rs 2.5

Question number: 595

» Direct and Inverse Proportions

MCQ▾

Question

Pipe A can fill an empty tank in 3 hours while pipe B can empty the full tank in 5 hours. If both are opened in the empty tank, time taken to fill it up completely is ________.

Choices

Choice (4) Response

a.

132 hours

b.

152 hours

c.

112 hours

d.

92 hours

Question number: 596

» Exponents and Powers

MCQ▾

Question

When simplified, (x1+y)1 is equal to________.

Choices

Choice (4) Response

a.

x1+xy

b.

x1xy

c.

xy

d.

1xy1+xy

Question number: 597

» Exponents and Powers

MCQ▾

Question

Given that 72.5=x,710=y and x2=yz , then the value of z is (approximately) ________.

Choices

Choice (4) Response

a.

0.87

b.

1.21

c.

1.00

d.

0.5

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