Simple Arithmetic/ Ratio & Proportion/ Maths/ Solved Model Questions

Simple Arithmetic /Ratio & Proportion is about some model questions that you can expect for competitive examinations. Here you can find out practice problems from the topic Ratio & Proportion

SIMPLE ARITHMETIC / RATIO & PROPORTION/ MATHS/Solved Model Questions for Competitive Examination.
Choose the correct answer from the options given below:

  1. If A: B = 2:3, B: C = 4:5 Find A: C?
    A. 8: 15
    B. 15: 8
    C. 2: 5
  2. If A: B = 3: 4, B: C = 5: 7, C: D = 2: 3, find A: D?
    A. 14: 5
    B. 5: 14
    C. 5: 7
  3. Sum of three numbers is 360. If it is in the ratio 2: 3: 4, find the greatest number?
    A. 80
    B. 160
    C. 240
  4. Divide 60 rupees between Niya and Miya in the ratio 2: 3. How much amount Niya will get?
    A. 24
    B. 36
    C. 48
  5. If b is two third of a, find a: b?
    A. 2: 3
    B. 3: 2
    C. 3: 4
  6. If the ratio between boys and girls in a school are 2: 3. If the total number of students is 2100, find the number of girls?
    A. 840
    B. 1020
    C. 1260
  7. If the ratio between boys and girls in a class are in the ratio 1: 2. If there are 25 boys, find the number of girls?
    A. 20
    B. 25
    C. 30
  8. Equivalent ratio of 3: 4 is ————
    A. 6: 12
    B. 9: 12
    C. 6: 9
  9. Present age of father is 36 years and his son is 6 years. Find the ratio of their ages in simplest form?
    A. 1: 6
    B. 6: 1
    C. 3: 6
  10. Ramu sells 3 kg of grapes for 270 rupees and Raju sells 5 kg of grapes for 450 rupees. Whose grapes are more expensive?
    A. Ramu
    B. Raju
    C. Both are same

ANSWERS:

  1. 8: 15
  2. 5: 14
  3. 160
  4. 24 RUPEES
  5. 3: 2
  6. 1260
  7. 50
  8. 9: 12
  9. 6: 1
  10. Both are equal

Explanation:

  1. A: C = A/C = A/B x B/C = 2/3 x 4/5 = 8/15 = 8: 15
  2. A: D = A/B x B/C x C/D = ¾ x 5/7 x 2/3 = 5/ 14 = 5: 14
  3. Given ratio is 2: 3: 4
    Sum of the parts = 2 + 3 + 4 = 9
    So the 3 numbers are 360 x 2/9 = 40 x 2 = 80
    360 x 3/9 = 40 x 3 = 120
    360 x 4/9 = 40 x 4 = 160
    So the greatest number is 160
  4. Given ratio is 2: 3
    Sum of the parts = 2 + 3 = 5
    Niya’s share = 60 x 2/5 = 120/5 = 24 rupees
    Miya’s Share = 60 x 3/5 = 180/5 = 36 rupees
    Therefore Niya will get 24 rupees
  5. Given b = 2a/3
    3b = 2a
    3/2 = a/b
    So a: b = 3: 2
  6. Given ratio is 2:3
    Total number of students = 2100
    Number of girls = 2100 x 3/5 = 1260
  7. Let the number of girls be x
    Given 1: 2 = 25: x
    ½ = 25/x
    x = 50
  8. Multiply both 3 and 4 by 3, so you will get an equivalent ratio as 9: 12
  9. Ratio of the age of father and his son is 36: 6 = 6: 1
  10. Cost of 3 kg of grapes = 270
    Cost of 1 kg grapes = 270/3 = 90 rupees
    Cost of 5 kg of grapes = 450
    Cost of 1 kg grapes = 450/5 = 90 rupees
    Therefore, both are same.

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