# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 116 - 123 of 968

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## Question 116

### Question

MCQ▾

If a and b are the roots of the quadratic equation with the condition , then the value of ‘p’ is ________

### Choices

Choice (4)Response

a.

1

b.

-7

c.

7 or -7

d.

7

## Question 117

### Question

MCQ▾

The value of k for which the system of equations has a non-zero solution, is ________

### Choices

Choice (4)Response

a.

20

b.

80

c.

60

d.

50

## Question 118

### Question

MCQ▾

Value of x in pair of linear equations is ________

### Choices

Choice (4)Response

a.

2.4

b.

2.5

c.

1.3

d.

3.2

## Question 119

### Question

MCQ▾

When is divided by , the quotient and remainder is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 120

### Question

MCQ▾

The value of k, for which the system of equations represent parallel lines is ________

### Choices

Choice (4)Response

a.

13

b.

9

c.

16

d.

6

## Question 121

### Question

MCQ▾

If the sum of the squares of zeroes of the polynomial is , find the value of k

### Choices

Choice (4)Response

a.

b.

c.

d.

Both b. and c. are correct

## Question 122

### Question

MCQ▾

The denominators of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 10 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 123

### Question

MCQ▾

If be the zeroes of the quadratic polynomial , then the value of = ________

### Choices

Choice (4)Response

a.

-5

b.

5

c.

4

d.

-4