IMO- Mathematics Olympiad Class 10: Questions 193 - 197 of 908

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Question number: 193

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation 2x26x8=0 is ________

Choices

Choice (4) Response

a.

43

b.

34

c.

43

d.

34

Question number: 194

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places R1 and R2 are 300 km apart from each other on a national highway. A car starts from R1 and another from R2 at the same time. If they go in the same direction then they meet in 15 hours and if they go in opposite directions they meet in 1514 hours. The speed of the cars are ________

Choices

Choice (4) Response

a.

140kmhr,180kmhr

b.

190kmhr,140kmhr

c.

120kmhr,160kmhr

d.

150kmhr,130kmhr

Question number: 195

» 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: 196

» Polynomials

MCQ▾

Question

If the sum of the squares of zeroes of the polynomial 3x2+4x+k is 29 , find the value of k

Choices

Choice (4) Response

a.

-3

b.

-4

c.

4

d.

3

Question number: 197

» 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

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