IMO- Mathematics Olympiad Class 10: Questions 160 - 164 of 889

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Question number: 160

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Neha and Anjali have some books with them. Once Anjali said to Neha that if Neha gives 10 books to Anjali then Neha will have only 12 of the books that Anjali will have with him. Then Neha asked frankly that if Anjali gives him only 15 books (to Neha), then Anjali will have as many books as Neha will have. The total number of books that Neha and Anjali have with them is ________

Choices

Choice (4) Response

a.

40

b.

60

c.

30

d.

80

Question number: 161

» Polynomials

MCQ▾

Question

If α,β be the zeroes of the quadratic polynomial 5x215x+40 , then the value of αβ+βα =________

Choices

Choice (4) Response

a.

78

b.

87

c.

78

d.

87

Question number: 162

» Polynomials

MCQ▾

Question

If α,β,γ are the roots of the cubic 15x3+20x2+30x+40 , the value of α3+β3+γ3 is ________

Choices

Choice (4) Response

a.

26

b.

22

c.

24

d.

28

Question number: 163

» Polynomials

MCQ▾

Question

If x+3 is a factor of the polynomial 5x3+(k+2)x23kx+2 , then find the value of k

Choices

Choice (4) Response

a.

12115

b.

11512

c.

11518

d.

18115

Question number: 164

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k, for which the system of equations 12x+ky+16=0,15x+20y20=0 represent parallel lines is ________

Choices

Choice (4) Response

a.

36

b.

26

c.

16

d.

46

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