IMO- Mathematics Olympiad Class 10: Questions 183 - 187 of 908

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Question number: 183

» Pair of Linear Equations in Two Variables

MCQ▾

Question

At the end of the year 2002, Rahul was half old as his grandpa. The sum of the years in which they were born is 3824. Age of Rahul at the end of year 2003 is ________

Choices

Choice (4) Response

a.

36 years

b.

50 years

c.

61 years

d.

35 years

Question number: 184

» 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=1;kx+y=3;x+ky=5

Choices

Choice (4) Response

a.

2

b.

0

c.

1

d.

Infinitely many

Question number: 185

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places A1 and A2 are 400 km apart from each other on a national highway. A car starts from A1 and another from A2 at the same time. If they go in the same direction then they meet in 10 hours and if they go in opposite directions they meet in 2011 hours. The speeds of the cars are ________

Choices

Choice (4) Response

a.

120kmhr,30kmhr

b.

130kmhr,90kmhr

c.

190kmhr,60kmhr

d.

150kmhr,120kmhr

Question number: 186

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The number of values of k for which the system of equations x+y=2,kx+y=4,x+ky=5 has atleast one solution is ________

Choices

Choice (4) Response

a.

3

b.

0

c.

1

d.

2

Question number: 187

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equation 2x23x5=0 , then the equation whose roots are α+1β and β+1α is ________

Choices

Choice (4) Response

a.

x2x+11=0

b.

x2x11=0

c.

x2x11=0

d.

x2+x+11=0

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