IMO- Mathematics Olympiad Class 10: Questions 318 - 323 of 889

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Question number: 318

» 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 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.

2085

b.

1999

c.

3690

d.

1538

Question number: 319

» Quadratic Equations

MCQ▾

Question

If the equation 9x2+6kx+4=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response
a.

±3

b.

±32

c.

±23

d.

0

Question number: 320

» Quadratic Equations

MCQ▾

Question

The expression 12x422x2+12x+k is divisible by x3 . Then m is a divisor of ________

Choices

Choice (4) Response
a.

610

b.

-610

c.

810

d.

-810

Question number: 321

» Arithmetic Progressions

MCQ▾

Question

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 7:15 . Find the lowest part.

Choices

Choice (4) Response
a.

6

b.

2

c.

10

d.

14

Question number: 322

» Coordinate Geometry

MCQ▾

Question

If 0.234343434=pq , then p+q is equal to ________

Choices

Choice (4) Response
a.

1542

b.

1222

c.

1352

d.

1333

Question number: 323

» Arithmetic Progressions

MCQ▾

Question

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.

19

c.

27

d.

15

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