IMO- Mathematics Olympiad (SOF) Class 10: Questions 513 - 518 of 958

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Question number: 513

» Everyday Mathematics

MCQ▾

Question

5 bells commence tolling together and toll at intervals of 3,6, 9,12 and 15 seconds respectively. In 12 minutes, how many times do they toll together?

Choices

Choice (4) Response

a.

5

b.

6

c.

7

d.

4

Question number: 514

» Everyday Mathematics

MCQ▾

Question

The present ages of A, B and C are in proportions. Eight years ago, the sum of their ages was 76. What are their present ages (in years)?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 515

» Everyday Mathematics

MCQ▾

Question

Kamla got married 6 years ago. Today her age is times her age at the time of marriage. Her son’s age is times her age. Her son’s age is ________

Choices

Choice (4) Response

a.

5 years

b.

3 years

c.

4 years

d.

2 years

Question number: 516

» Everyday Mathematics

MCQ▾

Question

2 men and 7 boys can do a piece of work in 14 day, 3 men and 8 boys can do the same in 11 days. 8 men and 6 boys can do 3 times the amount of this work in ________

Choices

Choice (4) Response

a.

18 days

b.

36 days

c.

24 days

d.

21 days

Question number: 517

» Everyday Mathematics

MCQ▾

Question

P is twice good a workman as Q and therefore is able to finish a job in 30 days less than Q. Working together they can do it in ________ days.

Choices

Choice (4) Response

a.

40

b.

50

c.

20

d.

30

Question number: 518

» Real Numbers

MCQ▾

Question

28 integers are chosen from the interval [104,208]. Show that there exit two of them having a common prime divisor.

Choices

Choice (4) Response

a.

2

b.

0

c.

3

d.

1

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