IMO- Mathematics Olympiad Class 10: Questions 96 - 100 of 908

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Question number: 96

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x2(51)x(5+1) , then the value of 1α2+1β2 is ________

Choices

Choice (4) Response

a.

35

b.

35

c.

53

d.

3+5

Question number: 97

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 10. If 5 is subtracted from the numerator and 3 is added to the denominator, the new number becomes 16 . Then the original number was ________

Choices

Choice (4) Response

a.

919

b.

178

c.

199

d.

135

Question number: 98

» Polynomials

MCQ▾

Question

If α,β be two zeroes of the quadratic polynomial ax2bxc , then (βα)2 =________

Choices

Choice (4) Response

a.

b3+4aca2c

b.

3acb22ac

c.

b24caa2

d.

b24aca2c

Question number: 99

» Polynomials

MCQ▾

Question

2x2+(2k10)x15=(x3)(x4) , then k is equal to ________

Choices

Choice (4) Response

a.

23

b.

32

c.

32

d.

23

Question number: 100

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 15 . Then the original number was ________

Choices

Choice (4) Response

a.

711

b.

58

c.

47

d.

35

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