IMO- Mathematics Olympiad Class 10: Questions 106 - 112 of 908

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Question number: 106

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation y2+5y14=0 is ________

Choices

Choice (4) Response

a.

9

b.

-9

c.

10

d.

-10

Question number: 107

» Polynomials

MCQ▾

Question

Degree of polynomial 5x5+62x22 is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

4

d.

6

Question number: 108

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 3x+5y=0andkx+10y=0 has a non-zero solution, is ________

Choices

Choice (4) Response

a.

2

b.

0

c.

6

d.

8

Question number: 109

» Polynomials

MCQ▾

Question

When 3x5+5x44x3+7x+3 is divided by x+2 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

3x4x32x24x1 , -4

b.

3x4x32x24x1, −5

c.

3x4x33x2+4x2 , 4

d.

3x4x32x2+4x1, 5

Question number: 110

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 2x+3y=5 , 4x+ky=10 has infinite number of solutions, is ________

Choices

Choice (4) Response

a.

1

b.

0

c.

3

d.

6

Question number: 111

» Polynomials

MCQ▾

Question

If one zero of the polynomial (p2+16)x2+18x+8p is a reciprocal of the other, then p is equal to ________

Choices

Choice (4) Response

a.

7

b.

4

c.

8

d.

6

Question number: 112

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

Choices

Choice (4) Response

a.

x+y=11,xy=5

b.

x+y=10,xy=6

c.

x+y=5,xy=11

d.

x+y=6,xy=10

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