# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 306 - 309 of 968

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## Question 306

### Question

MCQ▾

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 307

### Question

MCQ▾

If the roots of equation are in the ratio , then

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 308

### Question

MCQ▾

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.

240

b.

310

c.

290

d.

260

## Question 309

### Question

MCQ▾

In the Maths Olympiad of 2030 at X Planet, two representatives from the Sejm՚s side, while solving a quadratic equation, committed the following mistakes:

1. One of them made a mistake in the constant term and got the roots as -14 and 6.
2. Another one committed an error in the coefficient of x and he got the roots as 3 and -6

But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.

### Choices

Choice (4)Response

a.

b.

c.

d.