Simplification Questions Answers

• 15. Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees

  1. 8
  2. 9
  3. 10
  4. 11

  Answer :

  Option B

  Explanation:

  26 trees have 25 gaps between them,
  Required distance (225/25) = 10

• 16. 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 :

  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

• 17. 7500 + (1250 / 50)

  1. 7500
  2. 7525
  3. 7550
  4. 8000

  Answer :

  Option B

  Explanation:

  As per BODMAS rule first we will solve the terms in the bracket then other.
  = 7500 + (25) = 7525

• 18. The number of girls in a class are 7 times the number of boys, which value can never be the of total students

  1. 40
  2. 48
  3. 24
  4. 30

  Answer :

  Option D

  Explanation:

  Let the boys are X, then girls are 7X, total = X+7X = 8X
  
  So it should be multiple of 8, 30 is not a multiple of 8.

• 19. Simplify
  \begin{aligned}
  16-[5-(6+2(7-\overline{8-5}))]
  \end{aligned}
  

  1. 23
  2. 25
  3. 28
  4. 30

  Answer :

  Option B

  Explanation:

  \begin{aligned}
  = 16-[5-(6+2(7-8+5))]
  \end{aligned}
  (Please check due to overline, sign has been changed)
  \begin{aligned}
  = 16-[5-(6+2 \times 4))]
  \end{aligned}
  \begin{aligned}
  = 16-[-9] = 16 + 9 = 25
  \end{aligned}
  

• 20. Simplify
  \begin{aligned} 1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{5} \end{aligned}

  1. \begin{aligned}10\frac{29}{60} \end{aligned}
  2. \begin{aligned}8\frac{29}{60} \end{aligned}
  3. \begin{aligned}6\frac{29}{60} \end{aligned}
  4. \begin{aligned}4\frac{29}{60} \end{aligned}

  Answer :

  Option A

  Explanation:

  \begin{aligned} = \frac{7}{4}+\frac{16}{3}+\frac{17}{5} \end{aligned}
  
  \begin{aligned} = \frac{105+320+204}{60}
  \end{aligned}
  \begin{aligned} = \frac{629}{60}
  \end{aligned}
  \begin{aligned} = 10\frac{29}{60}
  \end{aligned}

• 21. a * b = 2a - 3b + ab, then 3*5 + 5*3 = ?

  1. 20
  2. 21
  3. 22
  4. 23
  5. Bedford is at one end.
  6. Mercedes is at one end.
  7. Fiat is next second to the right of Maruti.
  8. Bedford is next left of Fiat.

  Answer :

  Option F

  Explanation:

  = 2(3)-3(5)+(3*5) + 2(5)-3(3)+(5*3)
  = 6-15+15+10-9+15 = 31-9 = 22