IMO- Mathematics Olympiad Class 10: Questions 16 - 22 of 889

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Question number: 16

» Real Numbers

MCQ▾

Question

Given that H. C. F (765,1862)=17 , find L. C. M (765,1862) .

Choices

Choice (4) Response
a.

53560

b.

63670

c.

73680

d.

83790

Question number: 17

» Real Numbers

MCQ▾

Question

x1,x2,x3,..,x14 is integers, none of which are divisible by 4. The remainder when x12+x22+x32++x142 is divided by 4 is ________

Choices

Choice (4) Response
a.

1 or 2

b.

1

c.

0

d.

0 or 1

Question number: 18

» Real Numbers

MCQ▾

Question

Sum of squares of the two consecutive natural numbers is 421. The two consecutive numbers respectively________

Choices

Choice (4) Response
a.

14 and 15

b.

34 and 35

c.

21 and 22

d.

67 and 68

Question number: 19

» Real Numbers

MCQ▾

Question

Given that H. C. F (115,4650)=25 , find L. C. M (115,4650) .

Choices

Choice (4) Response
a.

19584

b.

22513

c.

21390

d.

23625

Question number: 20

» Real Numbers

MCQ▾

Question

Given that H. C. F (1320,1520)=20 , find L. C. M (1320,1520) .

Choices

Choice (4) Response
a.

100620

b.

100420

c.

100520

d.

100320

Question number: 21

» Real Numbers

MCQ▾

Question

Rational number between 23 and 14 is ________

Choices

Choice (4) Response
a.

23

b.

3×42

c.

524

d.

3+4

Question number: 22

» Real Numbers

MCQ▾

Question

A eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6th digit from the left of the number is ________

Choices

Choice (4) Response
a.

3

b.

5

c.

7

d.

9

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