IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 537 - 540 of 968

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Question 537

Question

MCQ▾

In a certain office, of the workers is women, of the women is married and of the married women have children. If of the men are married and of the married men have children, what parts of workers are without children?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 538

Question

MCQ▾

One fourth of a head of Camel is in the forest. Twice the square root of the head has gone to mountains, and of the remaining, 20 are on the bank of a river. The total number of cows is ________

Choices

Choice (4)Response

a.

16

b.

14

c.

20

d.

18

Question 539

Question

MCQ▾

65 bugs are placed at different squares of a 9 × 9 square board. A bug in each moves to a horizontal or vertical adjacent square. No bug makes two horizontal or two vertical moves in succession.

Choices

Choice (4)Response

a.

After some moves, there will be at least one bug in the same square

b.

After some moves, there will be at least four bugs in the same square

c.

After some moves, there will be at least two bugs in the same square

d.

After some moves, there will be at least three bugs in the same square

Question 540

Question

MCQ▾

A bag contains tickets marked with numbers 179, 180, 172, 127, 155, 115, 143, 122, 175, 222, 232, 162, 112, 136, 192, 182, 174, 132,32, 131. A ticket is drawn at random. Find the probability that the ticket drawn has an even digit at ten՚s place.

Choices

Choice (4)Response

a.

b.

c.

d.