IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 318 - 323 of 968

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Question 318

Question

MCQ▾

In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 60 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 31 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.

1538

b.

3690

c.

2085

d.

1999

Question 319

Question

MCQ▾

If the equation has equal roots, and then the both roots are equal to ________

Choices

Choice (4)Response

a.

0

b.

c.

d.

Question 320

Question

MCQ▾

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

Choices

Choice (4)Response

a.

-810

b.

810

c.

610

d.

-610

Question 321

Question

MCQ▾

A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the lowest part.

Choices

Choice (4)Response

a.

6

b.

2

c.

10

d.

14

Question 322

Question

MCQ▾

If , then is equal to ________

Choices

Choice (4)Response

a.

1333

b.

1352

c.

1222

d.

1542

Question 323

Question

MCQ▾

If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________

Choices

Choice (4)Response

a.

32

b.

27

c.

19

d.

15