IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 558 - 562 of 968

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Question number: 558

» Real Numbers

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MCQ▾

Question

a, b, c are real numbers such that and Prove that . When does the equality hold?

Choices

Choice (4) Response

a.

Equality hold when and

b.

Equality hold when and

c.

Equality hold when and

d.

Equality hold when and

Question number: 559

» Everyday Mathematics

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MCQ▾

Question

A man whose bowling average is 14.4 takes 3 wickets for 28 runs and thereby decreases his average by 1.2. The number of wickets, taken by him, before his last match, is ________

Choices

Choice (4) Response

a.

35

b.

45

c.

55

d.

65

Question number: 560

» Everyday Mathematics

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MCQ▾

Question

Assume that a mango and its seed, both are spherical. The radius of the seed is of the thickness of the pulp. The seed lies exactly at the center of the fruit. What percent of the total volume of the mango is its pulp?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 561

» Everyday Mathematics

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MCQ▾

Question

A fair price shopkeeper takes profit on his goods. He loss goods during theft. His lost percent is ________

Choices

Choice (4) Response

a.

12

b.

18

c.

15

d.

11

Question number: 562

» Everyday Mathematics

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MCQ▾

Question

A card is drawn from a pack of 52 cards. The cards is drawn at random. What is the probability that it is neither spade nor a jack?

Choices

Choice (4) Response

a.

b.

c.

d.