# IMO- Mathematics Olympiad Class 10: Questions 287 - 292 of 958

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## Question number: 287

MCQ▾

### Question

The positive value of k for which the equations and will both have real roots, is ________

### Choices

Choice (4) Response

a.

8

b.

4

c.

16

d.

12

## Question number: 288

MCQ▾

### Question

Solve the equation by using quadratic formula, then x is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 289

MCQ▾

### Question

If one roots of 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

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

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

## Question number: 292

MCQ▾

### Choices

Choice (4) Response

a.

b.

c.

d.

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