IMO- Mathematics Olympiad Class 10: Questions 198 - 202 of 889

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Question number: 198

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places S1 and S2 are 400 km apart from each other on a national highway. A car starts from S1 and another from S2 at the same time. If they go in the same direction then they meet in 2 hours and if they go in opposite directions they meet in 53 hours. The speed of the cars are ________

Choices

Choice (4) Response

a.

290kmhr,40kmhr

b.

220kmhr,20kmhr

c.

250kmhr,30kmhr

d.

240kmhr,80kmhr

Question number: 199

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Value of x in pair of linear equations 152x378y=74and378x+152y=604 is ________

Choices

Choice (4) Response

a.

2

b.

4

c.

1

d.

3

Question number: 200

» Polynomials

MCQ▾

Question

If a and b are the roots of the quadratic equation x2+qx+15=0 with the condition ab=3 , then the value of ‘q’ is ________

Choices

Choice (4) Response

a.

5

b.

6 or -6

c.

5 or -5

d.

6

Question number: 201

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has infinitely many solutions?

Choices

Choice (4) Response

a.

5x4y=20,7.5x6y=30

b.

2x3y=5,3x4.5y=7.5

c.

x+5y3=0,3x+15y9=0

d.

All a. , b. and c. are correct

Question number: 202

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of two numbers is 9 and the sum of their squares is 41. The numbers are ________

Choices

Choice (4) Response

a.

1 and 8

b.

3 and 6

c.

4 and 5

d.

2 and 7

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