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ITBP Fractions — practice questions

Explore 7 free Fractions questions in ITBP Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Fractions questions and exercises with answers

Showing questions 1–7 of 7.

Arrange the fractions 2/3, 4/5, 1/2 and 3/4 in descending order.Read the answer and worked solution →A man pays off 3/20th of his debt every month. At the end of 6 months his balance debt is Rs 290. How much debt (in Rupees) has he cleared each month?Read the answer and worked solution →In a garden of 42 trees, 3/7 are Neem trees and the rest are Mango trees. Find the number of Mango trees.Read the answer and worked solution →When 3 is added to both numerator and denominator a fraction becomes 10/11, and when 4 is subtracted from both it becomes 3/4. What is the fraction?Read the answer and worked solution →To which of the following fractions must 5/16 be added to get 1?Read the answer and worked solution →Arpan, Tanvi and Rishav shared a cake. Arpan had 1/12 of it and Rishav had 3/4 of it, and Tanvi had the rest. What was Tanvi's share of the cake?Read the answer and worked solution →A cake is shared among 5 friends. Four of them take 1/8, 1/6, 5/12 and 1/12 of the cake respectively. What part does the fifth friend get?Read the answer and worked solution →

Worked practice questions

Arrange the fractions 2/3, 4/5, 1/2 and 3/4 in descending order.

  1. 4/5 > 2/3 > 1/2 > 3/4
  2. 4/5 > 3/4 > 2/3 > 1/2
  3. 1/2 > 2/3 > 4/5 > 3/4
  4. 3/4 > 1/2 > 4/5 > 2/3
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Correct answer: B. 4/5 > 3/4 > 2/3 > 1/2

1. Convert to decimals: 2/3 ≈ 0.667, 4/5 = 0.8, 1/2 = 0.5, 3/4 = 0.75. 2. Order them from largest to smallest: 0.8, 0.75, 0.667, 0.5. 3. So the descending order is 4/5 > 3/4 > 2/3 > 1/2. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.53._

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A man pays off 3/20th of his debt every month. At the end of 6 months his balance debt is Rs 290. How much debt (in Rupees) has he cleared each month?

  1. Rs 500
  2. Rs 450
  3. Rs 400
  4. Rs 435
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Correct answer: D. Rs 435

1. In 6 months he clears 6 × 3/20 = 18/20 = 9/10 of the debt. 2. The balance 1/10 equals Rs 290, so the total debt = 290 × 10 = Rs 2900. 3. Each month he clears 3/20 × 2900 = Rs 435. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.59._

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In a garden of 42 trees, 3/7 are Neem trees and the rest are Mango trees. Find the number of Mango trees.

  1. 16
  2. 20
  3. 18
  4. 24
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Correct answer: D. 24

1. Neem trees = (3/7) x 42 = 18. 2. Mango trees = 42 - 18 = 24. Alternatively (4/7) x 42 = 24. 3. So there are 24 Mango trees. _Source: RRB Group D CEN-02/2018 PYQ, Q.35._

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MensurationMultiplicationNumber PropertiesSimple InterestSquares And RootsPercentagesNumber SystemRatio and Proportion