Simplification Questions Answers

• 8. (3080 + 6160) / 28

  1. 380
  2. 350
  3. 330
  4. 310

  Answer :

  Option C

  Explanation:

  As per BODMAS rule, first we will solve the equation in bracket then we will go for division
  = (9240)/28 = 330

• 9. 5.8 * 2.5 + 0.6 * 6.75 + 139.25= ?

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

  Answer :

  Option D

• 10. \begin{aligned}
  \frac{4+4 \times 18 -6 - 8}{123 \times 6 - 146 \times 5 }
  \end{aligned}

  1. 7.50
  2. 7.75
  3. 8
  4. 8.05

  Answer :

  Option B

  Explanation:

  \begin{aligned}
  \frac{4+72-6-8}{738-730}
  \end{aligned}
  \begin{aligned}
  = \frac{76-14}{8}
  \end{aligned}
  \begin{aligned}
  = \frac{62}{8} = 7.75
  \end{aligned}

• 11. Find the value of X
  X = (6/119) * (63/8) * (17/9)

  1. 1/4
  2. 2/4
  3. 3/4
  4. 4

  Answer :

  Option C

• 12. Simplify
  \begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}

  1. 2
  2. 2.3
  3. 2.6
  4. 5
  5. 9000
  6. 8000
  7. 7000
  8. 6000

  Answer :

  Option E

  Explanation:

  By taking LCM we get
  =\begin{aligned} \frac{28+14+7+4+2+1}{28}
  = \frac{56}{28} = 2\end{aligned}

• 13. If p - q = 3 and
  \begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of pq.

  1. 7
  2. 8
  3. 9
  4. 10

  Answer :

  Option D

  Explanation:

  We know
  \begin{aligned} 2ab = (a^2 + b^2) - (a - b)^2 \end{aligned}
  
  \begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}
  
  \begin{aligned} =>pq = 10 \end{aligned}

• 14. \begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}

  1. 1964
  2. 1984
  3. 2964
  4. 2984

  Answer :

  Option D

  Explanation:

  \begin{aligned}
  = 3034 -( \frac{1002}{2004} \times 100)
  \end{aligned}
  \begin{aligned}
  = 3034 - 50 = 2984
  \end{aligned}