IMO- Mathematics Olympiad Class 10: Questions 78 - 84 of 889

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Question number: 78

» Real Numbers

MCQ▾

Question

2.131313131313. is ________

Choices

Choice (4) Response

a.

Not a real number

b.

An integer

c.

A rational number

d.

An irrational number

Question number: 79

» Real Numbers

MCQ▾

Question

Which of the following numbers has the terminating decimal representation?

Choices

Choice (4) Response

a.

329400

b.

211

c.

313

d.

111

Question number: 80

» Real Numbers

MCQ▾

Question

Smaller number amongst 2018 and 1614 is ________

Choices

Choice (4) Response

a.

1614

b.

2018

c.

47

d.

Cantbedetermine

Question number: 81

» Polynomials

MCQ▾

Question

If the zero of the quadratic polynomial x22x+k is 3, then the value of k is ________

Choices

Choice (4) Response

a.

-8

b.

-3

c.

6

d.

-1

Question number: 82

» Polynomials

MCQ▾

Question

If α,β,γ are the roots of the cubic 4x3+3x22x5 , the value of 1α+1β+1γ is ________

Choices

Choice (4) Response

a.

25

b.

52

c.

25

d.

52

Question number: 83

» Pair of Linear Equations in Two Variables

MCQ▾

Question

At the end of the year 2006, Prit was half old as his grandpa. The sum of the years in which they were born is 3922. Age of Prit at the end of year 2007 is ________

Choices

Choice (4) Response

a.

21 years

b.

41 years

c.

31 years

d.

51 years

Question number: 84

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places X1 and X2 are 120 km apart from each other on a national highway. A car starts from X1 and another from X2 at the same time. If they go in the same direction then they meet in 6 hours and if they go in opposite directions they meet in 65 hours. The speeds of the cars are ________

Choices

Choice (4) Response

a.

50kmhr,20kmhr

b.

20kmhr,30kmhr

c.

70kmhr,80kmhr

d.

60kmhr,40kmhr

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