# Quadratic Equations (IMO- Mathematics Olympiad (SOF) Class 10): Questions 64 - 68 of 80

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## Question number: 64

MCQ▾

### Question

The expression is divisible by . Then k is a divisor of ________

### Choices

Choice (4) Response

a.

106

b.

-120

c.

-162

d.

135

## Question number: 65

MCQ▾

### Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4) Response

a.

b.

c.

-3,2

d.

## Question number: 66

MCQ▾

### Question

Sum of two numbers x and y is 8 and the absolute value of their difference is 10 the equation with these numbers as roots is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 67

MCQ▾

### Question

If the roots of equation are in the ratio , then

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 68

MCQ▾

### Question

In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 15 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 16 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.

310

b.

240

c.

290

d.

260

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