IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 181 - 191 of 1042

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Question 181

Question

MCQ▾

A number is multiplied by itself and then 10 is subtracted from the product. If the final result is 590, then find the original number.

Choices

Choice (4)Response

a.

60

b.

36

c.

30

d.

50

Question 182

Question

MCQ▾

Three numbers are in the ratio of 4: 3: 2. The sum of their cubes is 21384. The numbers are________.

Choices

Choice (4)Response

a.

b.

6: 12: 18

c.

15: 30: 45

d.

Question 183

Question

MCQ▾

If , then

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Question 184

Question

MCQ▾

The value of is ________.

Choices

Choice (4)Response

a.

4.00

b.

2.5

c.

7.5

d.

8.5

Question 185

Question

MCQ▾

If , then is equal to________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 186

Question

MCQ▾

If , then the value of is________.

Choices

Choice (4)Response

a.

11.1

b.

24.7

c.

22.7

d.

30.2

Question 187

Question

MCQ▾

The cube of a number is four times of then find where

Choices

Choice (4)Response

a.

1

b.

0

c.

2

d.

4

Question 188

Question

MCQ▾

=

Choices

Choice (4)Response

a.

b.

c.

d.

Question 189

Edit

Statement

True-False▾

The sum of the cubes of first n natural numbers is equal to the square of their sum. This statement is true or not?

Question 190

Question

MCQ▾

The cube root of is________.

Choices

Choice (4)Response

a.

64

b.

4

c.

16

d.

8

Question 191

Question

MCQ▾

In the five digit number 13ab-4, a is the greatest single digit perfect cube and a is greater four times of b. then find the sum of the number and its cube root is________.

Choices

Choice (4)Response

a.

13848

b.

13820

c.

13825

d.

13824