Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 58 - 62 of 82

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Question number: 58

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The solution of the system of equations 10x+5yxy=1 and 20x5yxy2=0(wherex0,y0) , is ________

Choices

Choice (4) Response

a.

x=5.56,y=10

b.

x=5.56,y=10

c.

x=5.56,y=10

d.

x=5.56,y=10

Question number: 59

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 6x+3y=25 , 12x+ky=50 has infinite number of solutions, is ________

Choices

Choice (4) Response

a.

6

b.

2

c.

7

d.

0

Question number: 60

» 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: 61

» 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: 62

» 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

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