IMO- Mathematics Olympiad Class 10: Questions 539 - 542 of 958

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Question number: 539

» Arithmetic Progressions

MCQ▾

Question

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 four bugs in the same square

b.

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

c.

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

d.

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

Question number: 540

» Everyday Mathematics

MCQ▾

Question

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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 541

» Everyday Mathematics

MCQ▾

Question

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought?

Choices

Choice (4) Response

a.

750

b.

240

c.

40

d.

480

Question number: 542

» Everyday Mathematics

MCQ▾

Question

One year ago the ratio between Shravan’s and Pushkar’s salary was Equation . The ratios of their individual salaries between last year’s and this year’s salaries are Equation and Equation respectively. At present, the total of their salary is Rs. 3420. The salary of Pushkar’s now, is ________

Choices

Choice (4) Response

a.

Rs. 1640

b.

Rs. 1740

c.

Rs. 1440

d.

Rs. 1540

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