Ratio and Proportion

16. The shadow of a 3 m long stick is 4 m long. At the same time of the day, if the shadow of a flagstaff is 24 m long, how tall is the flagstaff?

  • (A) 16 m     
  • (B) 18 m     
  • (C) 20 m
  • (D) 22 m

15. In a school, the ratio of the number of large classrooms to small classrooms is 3 : 4. If the number of small rooms is 20, then find the number of large rooms is

  • (A) 16
  • (B) 15
  • (C) 12
  • (D) 18

14. In the following figure, each division represents 1 cm.

What is the value of (AC + AF) : (AGAD)?

  • (A) 7 : 6      
  • (B) 6 : 4      
  • (C) 7 : 3
  • (D) 3 : 7

13. In the following figure, each division represents 1 cm.

What is the value of (BF × AI) : (CI ÷ CE)?

  • (A) 30 : 7    
  • (B) 32 : 5    
  • (C) 32 : 3
  • (D) 32 : 6

12. In the following figure, what is the ratio of the area of the shaded portion to that of the whole figure?

  • (A) 1 : 4      
  • (B) 2 : 3      
  • (C) 1 : 4
  • (D) 1 : 2

11. In the following figure, what is the ratio of the area of the shaded portion to that of the whole figure?

  • (A) 1 : 4      
  • (B) 2 : 3      
  • (C) 1 : 4
  • (D) 1 : 2

10. In a floral design made from tiles, each of dimensions 40 cm by 60 cm. What is the ratio of the perimeter of shaded portion to the perimeter of the whole design?

  • (A) 11 : 6    
  • (B) 6 : 11    
  • (C) 7 : 13
  • (D) 13 : 7

9. In a floral design made from tiles, each of dimensions 40 cm by 60 cm. What is the ratio of the area of the shaded portion to the area of the unshaded portion?

  • (A) 1 : 6      
  • (B) 6 : 1      
  • (C) 7 : 3
  • (D) 3 : 7

8. Sum of two numbers is 100. If the ratio of them is 9 :16, the numbers are

  • (A) 34, 66   
  • (B) 36, 64   
  • (C) 32, 68
  • (D) 38, 62

7. A typist has to type a manuscript of 40 pages.  She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?

  • (A) 1 : 3      
  • (B) 3 : 1      
  • (C) 4 : 3
  • (D) 3 : 4

6. A car can travel 240 km in 15 litres of petrol. How much distance will it travel in 25 litres of petrol?

  • (A) 300 km 
  • (B) 320 km 
  • (C) 400 km
  • (D) 420 km

5. Bachhu Manjhi earns ₹24000 in 8 months. At this rate, how much does he earn in one year?

  • (A) ₹32000 
  • (B) ₹34000 
  • (C) ₹35000
  • (D) ₹36000

4. Bachhu Manjhi earns ₹24000 in 8 months. In how many months does he earn ₹42000?

  • (A) 16
  • (B) 13
  • (C) 14
  • (D) 17

3. The earth rotates 360° about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

  • (A) 36°        
  • (B) 30°        
  • (C) 32°
  • (D) 31°

2. The  quarterly  school  fee  in  Kendriya  Vidyalaya  for  Class  VI  is ₹540. What will be the fee for seven months?

  • (A) ₹954      
  • (B) ₹945      
  • (C) ₹549
  • (D) ₹594

1. A carpenter had a board which measured 3 m × 2 m. She cut out a rectangular piece of 250 cm × 90 cm. What is the ratio of the area of cut out piece and the remaining piece?

  • (A) 3 : 4      
  • (B) 5 : 3      
  • (C) 7 : 5
  • (D) 3 : 5

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