IMO- Mathematics Olympiad Class 10: Questions 308 - 310 of 889

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Question number: 308

» Quadratic Equations

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

Question number: 309

» Quadratic Equations

MCQ▾

Question

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.

x2+8x+18=0

b.

x28x+18=0

c.

x2+8x18=0

d.

x28x18=0

Question number: 310

» Quadratic Equations

MCQ▾

Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots -5 and 6. The other copied the constant term and coefficient of x2 correctly as 1 and 1 respectively. The correct roots are

Choices

Choice (4) Response

a.

8,7

b.

8,7

c.

8,7

d.

8,7

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