IMO- Mathematics Olympiad Class 10: Questions 274 - 279 of 908

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Question number: 274

» Quadratic Equations

MCQ▾

Question

A man walks a distance of 50 km in a given time. If he walks 5 km/hr faster, he will perform the journey 5 hrs before. His normal rate of walking, is ________

Choices

Choice (4) Response

a.

5kmhr

b.

2kmhror8kmhr

c.

3kmhr

d.

9kmhr

Question number: 275

» Quadratic Equations

MCQ▾

Question

Two numbers whose sum is 6 and absolute value of whose difference is 8 are the roots of the equation ________

Choices

Choice (4) Response

a.

x26x+7=0

b.

x26x+8=0

c.

x2+6x8=0

d.

x26x7=0

Question number: 276

» Quadratic Equations

MCQ▾

Question

The expression 4x2+16x+m is divisible by (x+3) . Then m is a divisor of ________

Choices

Choice (4) Response

a.

20

b.

4

c.

16

d.

12

Question number: 277

» Quadratic Equations

MCQ▾

Question

The roots of the equation 5x+5x12=8 can be found by solving ________

Choices

Choice (4) Response

a.

2x214x+30=0

b.

5x212x+10=0

c.

3x221x20=0

d.

5x214x+5=0

Question number: 278

» Quadratic Equations

MCQ▾

Question

Solve the equation x+2x1+223=x+3x2 by using quadratic formula, then x is ________

Choices

Choice (4) Response

a.

52,14

b.

52,2

c.

4,52

d.

52,4

Question number: 279

» Quadratic Equations

MCQ▾

Question

In the equation 2x2hx+2k=0 , the sum of the roots is 4 and the product of the roots is 3 . Then h and k respectively, have the values ________

Choices

Choice (4) Response

a.

8 and -3

b.

-3 and 8

c.

8 and 6

d.

4 and -3

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