# IMO Level 2 Class 5 Year 2016 − 2017 Higher Questions and Answers Part 1

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**Section-I: Logical Reasoning**

1. Which one of the following statements is true about the given square and rectangle?

(A)

(B)

(C)

(D)

2. Which group of numbers are arranged from the largest to the smallest?

(A)

(B)

(C)

(D)

3. Which of the following numbers is divisible by 2 but not divisible by 3?

(A) 1764

(B) 2160

(C) 4926

(D) 3328

4. Find the value of .

(A) 9

(B) 8

(C) 7

(D) 0

5. Add 8 tenths to 5 hundreds and 5 hundredths. Subtract the addition of 7 tens and 7 hundredths from the previous result. What will be the answer?

(A) 494.23

(B) 430.78

(C) 493.73

(D) 430.83

6. If

Find the value of

(A) 3.02

(B) 5

(C) 2.05

(D) 5.03

7. Find the value of P, Q and R

(A)

(B)

(C)

(D)

8. Find the difference between the greatest and smallest 8-digit numbers formed by using the digits 7, 4, 8, 2,0, 3,9 (each digit should be used at least once) .

(A) 79839531

(B) 8833531

(C) 89839441

(D) 79839441

9. Figure PQRSTUVW is made up of a rectangle and a square. Find the length of RQ if perimeter of rectangle is times of perimeter of square.

(A) 3 cm

(B) 4 cm

(C) 6 cm

(D) 2 cm

10. Select the correct match.

(A)

(B)

(C)

(D)

11. How many minimum numbers of square (s) must be shaded to make the given figure symmetric along the dotted line?

(A) 2

(B) 3.5

(C) 4

(D) 4.5

12. If 6 identical squares have a total area of , then find the perimeter of a square.

(A) 50 cm

(B) 25 cm

(C) 30 cm

(D) 20 cm