Everyday Mathematics (IMO- Mathematics Olympiad Class 10): Questions 53 - 57 of 67

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Question number: 53

» Everyday Mathematics

MCQ▾

Question

Two Friends P and Q appeared for an exam. Let A be the event that P is selected and B is the event that Q is selected. The probability of A is 19 and that of B is 37 . Find the probability that both of them are selected.

Choices

Choice (4) Response

a.

263

b.

121

c.

156

d.

745

Question number: 54

» Everyday Mathematics

MCQ▾

Question

Sanju has 64 small cubes of 1cm3 . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

Choices

Choice (4) Response

a.

4cm

b.

43cm

c.

23cm

d.

2cm

Question number: 55

» Everyday Mathematics

MCQ▾

Question

The ratio between the ages of Samrat and Armaan at present is 2:3 . Five years hence the ratio of their ages will be 3:4 . What is the present age of Samrat?

Choices

Choice (4) Response

a.

25 years

b.

Data inadequate

c.

15 years

d.

10 years

Question number: 56

» Everyday Mathematics

MCQ▾

Question

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

Choices

Choice (4) Response

a.

26 minutes 18 seconds

b.

42 minutes 36 seconds

c.

46 minutes 12 seconds

d.

45 minutes

Question number: 57

» Everyday Mathematics

MCQ▾

Question

P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 200 seconds, Q in 100 seconds and R in 300 seconds, all starting at the same point. After what time will they meet again at the starting point?

Choices

Choice (4) Response

a.

30 minutes

b.

10 minutes

c.

16 minutes

d.

20 minutes

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