Free IMO Integers and Data Handling Questions and Answers

Question 1

Find the mean of the first 17 natural numbers.

Accepted Answer

9

Answer

11

Answer

13

Answer

15

Question 2

The average of four numbers is 7.  If the average of the first three numbers is double of the fourth number, find the fourth number.

Accepted Answer

4

Answer

3

Answer

-1

Answer

5

Question 3

The average of four numbers is 28.  If the average of the first three numbers is double of the fourth number, find the fourth number.

Accepted Answer

16

Answer

14

Answer

11

Answer

19

Question 4

The average of four numbers is 14.  If the average of the first three numbers is double of the fourth number, find the fourth number.

Accepted Answer

8

Answer

4

Answer

10

Answer

6

Question 5

There are 60 questions in a competitive exam. 3 marks are awarded for each correct answer, while 2 marks are deducted for each incorrect answer. Archana answered 47 questions correctly. If she attempts all the questions, how many marks did she get?

Accepted Answer

115

Answer

127

Answer

55

Answer

123

Question 6

While doing a science experiment in the physics lab, Sanjana took 7 measurements of the temperature and wrote the average of those as an answer. If the measurements of the temperature are -2, 1, 2, 0, -4, 2 and 2 then what is the final answer of her experiment?

Accepted Answer

0.14

Answer

3.14

Answer

1.14

Answer

2.14

Question 7

Tap A can fill a tank in 4 hours, while tap B can empty the full tank in 5 hours. If both taps are open together, how long will it take to fill an empty tank?

Accepted Answer

20 hours

Answer

21 hours

Answer

19 hours

Answer

23 hours

Question 8

The temperature in Thrissur was 27°C in the morning which dropped to 17°C in the evening. Find the temperature difference.

Accepted Answer

10°C

Answer

6°C

Answer

8°C

Answer

11°C

Question 9

While doing a science experiment in the physics lab, Pranav took 5 measurements of the temperature and wrote the average of those as an answer. If the measurements of the temperature are -3, 2, 1, -1 and -3 then what is the final answer of his experiment?

Accepted Answer

-0.8

Answer

1.2

Answer

2.2

Answer

0.2

Question 10

If a is an odd integer and b is an even integer, what is the product of a and b?

Accepted Answer

Even

Answer

Odd

Answer

Prime

Answer

Composite