IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 71 - 78 of 1025

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Question 71

Question MCQ▾

Sum of squares of the two consecutive natural numbers is 113. The two consecutive numbers respectively________

Choices

Choice (4)Response

a.

4 and 5

b.

1 and 2

c.

7 and 8

d.

3 and 4

Edit

Question 72

Question MCQ▾

The product of two consecutive natural numbers is always ________

Choices

Choice (4)Response

a.

Divisible by 3

b.

A prime number

c.

An even number

d.

An odd number

Edit

Question 73

Question MCQ▾

If , then b equals________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 74

Question MCQ▾

Rationalizing factor of is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 75

Question MCQ▾

A circular field has a circumference of 600 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 15 km/hr and 20 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?

Choices

Choice (4)Response

a.

120 hrs

b.

90 hrs

c.

100 hrs

d.

160 hrs

Edit

Question 76

Question MCQ▾

is equal to ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 77

Question MCQ▾

________

Choices

Choice (4)Response

a.

24

b.

12

c.

96

d.

48

Edit

Question 78

Question MCQ▾

is ________

Choices

Choice (4)Response

a.

Not a real number

b.

A rational number

c.

An irrational number

d.

An integer

Edit