IMO- Mathematics Olympiad Class 10: Questions 136 - 141 of 889

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Question number: 136

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Value of x in pair of linear equations 120x270y=90and270x+120y=690 is ________

Choices

Choice (4) Response
a.

4

b.

5

c.

3

d.

7

Question number: 137

» Polynomials

MCQ▾

Question

The roots of the quadratic equation 6x25kx+210=0 are in the ratio 5:7 , then k equals ________

Choices

Choice (4) Response
a.

16.5

b.

17.4

c.

14.4

d.

13.4

Question number: 138

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 2x+6y=0andkx+12y=0 has a non-zero solution, is ________

Choices

Choice (4) Response
a.

9

b.

3

c.

5

d.

4

Question number: 139

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 4. If 4 is subtracted from the numerator and 6 is added to the denominator, the new number becomes 14 . Then the original number was ________

Choices

Choice (4) Response
a.

1315

b.

1417

c.

1319

d.

1712

Question number: 140

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has no solution?

Choices

Choice (4) Response
a.

6x3y=14,5x+3y=8

b.

7x2y=15,14x4y=10

c.

4x2y15=0,6x+4y40=0

d. None of the above

Question number: 141

» Pair of Linear Equations in Two Variables

MCQ▾

Question

For how many values of k does the following system of equations have at least one solution? x+y=10;kx+y=30;x+ky=50

Choices

Choice (4) Response
a.

8

b.

7

c.

3

d.

2

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