# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 239 - 246 of 968

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## Question 239

### Question

MCQ▾

A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 240

### Question

MCQ▾

The difference of roots of the quadratic equation is ________

### Choices

Choice (4)Response

a.

6

b.

-6

c.

d.

## Question 241

### Question

MCQ▾

Which of the statements given below is correct. If discriminant for equation is D________

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question 242

### Question

MCQ▾

If the equation has equal roots, and then the both roots are equal to ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 243

### Question

MCQ▾

If the equation has roots and , then the value of is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 244

### Question

MCQ▾

Find the value of ‘p’ if sum of roots of is 3

### Choices

Choice (4)Response

a.

-12

b.

16

c.

-16

d.

12

## Question 245

### Question

MCQ▾

If one roots of is thrice the other root, then the value of ‘a’ is ________

### Choices

Choice (4)Response

a.

8

b.

c.

-8

d.

## Question 246

### Question

MCQ▾

If the roots of the equation are equal. Then ________

### Choices

Choice (4)Response

a.

b.

c.

d.