IMO- Mathematics Olympiad Class 10: Questions 285 - 291 of 889

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Question number: 285

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation 5x24x+2=0 is D________

Choices

Choice (4) Response
a.

D<0

b.

D>0

c.

D=0

d.

D is not defined

Question number: 286

» Quadratic Equations

MCQ▾

Question

The expression 18x2+9x+m is divisible by (x+2) . Then m is a divisor of ________

Choices

Choice (4) Response
a.

54

b.

20

c.

45

d.

40

Question number: 287

» Quadratic Equations

MCQ▾

Question

The positive value of k for which the equations x2+kx+64=0 and x28x+k=0 will both have real roots, is ________

Choices

Choice (4) Response
a.

8

b.

4

c.

16

d.

12

Question number: 288

» Quadratic Equations

MCQ▾

Question

Solve the equation 12x5+52x1=2 by using quadratic formula, then x is ________

Choices

Choice (4) Response
a.

3,32

b.

6,56

c.

3,32

d.

72,53

Question number: 289

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+50=0 is twice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response
a.

-15

b.

15

c.

20

d.

-20

Question number: 290

» Quadratic Equations

MCQ▾

Question

A convex polygon has 44 diagonals. The number of its sides is ________

Choices

Choice (4) Response
a.

13

b.

10

c.

11

d.

12

Question number: 291

» Quadratic Equations

MCQ▾

Question

In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 38 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________

Choices

Choice (4) Response
a.

1690

b.

Can’t be determined

c.

999

d.

538

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