# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 117 - 123 of 968

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## Question number: 117

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MCQ▾

### Question

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 number: 118

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MCQ▾

### Question

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 number: 119

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MCQ▾

### Question

When is divided by, the quotient and remainder is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 120

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MCQ▾

### Question

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 number: 121

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MCQ▾

### Question

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 number: 122

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MCQ▾

### Question

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 number: 123

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

-5

b.

5

c.

4

d.

-4