Simplification Questions Answers

• 22. What fraction of \begin{aligned} \frac{4}{7}\end{aligned} should be added to itself to become \begin{aligned} 1\frac{1}{14} \end{aligned}

  1. \begin{aligned} \frac{7}{8} \end{aligned}
  2. \begin{aligned} \frac{7}{9} \end{aligned}
  3. \begin{aligned} \frac{7}{10} \end{aligned}
  4. \begin{aligned} \frac{7}{11} \end{aligned}

  Answer And Explanation

  Answer: Option A

  Explanation:

  \begin{aligned}
  => \frac{4}{7}x + \frac{4}{7} = \frac{15}{4}
  \end{aligned}
  \begin{aligned}
  = \frac{4}{7}x = \frac{15}{4} - \frac{4}{7}
  \end{aligned}
  \begin{aligned}
  = \frac{4}{7}x = \frac{7}{14}
  \end{aligned}
  \begin{aligned}
  = x = \frac{1}{2}\times \frac{7}{4} = \frac{7}{8}
  \end{aligned}

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• 23. Company workers decided to raise Rs. 3 lakhs by equal contribution from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many workers were they?

  1. 300
  2. 400
  3. 500
  4. 600

  Answer And Explanation

  Answer: Option C

  Explanation:

  N * 50 = (325000 - 300000) = 25000
  N = 25000 / 50
  = 500

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• 24. 5.8 * 2.5 + 0.6 * 6.75 + 139.25= ?

  1. 157.60
  2. 147.80
  3. 147.60
  4. 157.80

  Answer And Explanation

  Answer: Option D

  Explanation:

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• 25. 3034 - (1002 / 20.04) = ?

  1. 2984
  2. 2983
  3. 2982
  4. 2981

  Answer And Explanation

  Answer: Option A

  Explanation:

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• 26. 3640 ÷ 14*16 + 340 = ?

  1. 3500
  2. 4500
  3. 1500
  4. 2500

  Answer And Explanation

  Answer: Option B

  Explanation:

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• 27. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.

  1. 8
  2. 10
  3. 12
  4. 14

  Answer And Explanation

  Answer: Option C

  Explanation:

  Let the number of buffaloes be x and the number of ducks be y
  => 4x + 2y = 2 (x + y) + 24
  
  => 2x = 24 => x = 12

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• 28. If a - b = 3 and \begin{aligned} a^2 + b^2 = 29 \end{aligned}, then find the value of ab

  1. 7
  2. 8.5
  3. 10
  4. 12

  Answer And Explanation

  Answer: Option C

  Explanation:

  Remember the formula, if not then cram it :)
  \begin{aligned} 2ab = (a^2 + b^2)- (a-b)^2 \end{aligned}
  => 2ab = 29 - 9 = 20
  => ab = 10

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