IMO- Mathematics Olympiad Class 10: Questions 125 - 130 of 889

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Question number: 125

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=x35x22x+24 is -2, then other two zeroes are ________

Choices

Choice (4) Response
a.

-3, 4

b.

3, -4

c.

3, 4

d.

-3, -4

Question number: 126

» Pair of Linear Equations in Two Variables

MCQ▾

Question

If ambl , then the system of equations ax+by=c,lx+my=n ________

Choices

Choice (4) Response
a.

May or may not have a solution

b.

Has a unique solution

c.

Has infinitely many solutions

d.

Has no solution

Question number: 127

» Polynomials

MCQ▾

Question

If α,β,γ be the zeroes of the cubic polynomial ax3+bx2+4x+7 , then the value of αβ+βγ+γα =________

Choices

Choice (4) Response
a.

4

b.

4a

c.

-4

d.

4a

Question number: 128

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Solve for x and y in the following question:

50axy+66x+y=30,60xy+77x+y=33

Choices

Choice (4) Response
a.

x=5,y=2

b.

x=45,y=2

c.

x=5,y=6

d.

x=2,y=45

Question number: 129

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Solve for x and y in the following question:

30axy+44x+y=10,40xy+55x+y=13

Choices

Choice (4) Response
a.

x=10,y=2

b.

x=14,y=7

c.

x=8,y=15

d.

x=8,y=3

Question number: 130

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 66. If the digits of the number differ by 4, then numbers are ________

Choices

Choice (4) Response
a.

98, 89

b.

73, 37

c.

91, 19

d.

51, 15

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