Simplification Questions Answers

• 1. How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long

  1. 30
  2. 40
  3. 50
  4. 60

  Answer :

  Option C

  Explanation:

  We need so simple divide 42.5/0.85,
  =(4250/85) = 50

• 2. 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 :

  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

• 3. Simplfy
  b - [b -(a+b) - {b - (b - a+b)} + 2a]

  1. a
  2. 2a
  3. 4a
  4. 0

  Answer :

  Option D

  Explanation:

  b-[b-(a+b)-{b-(b-a+b)}+2a]
  =b-[b-a-b-{b-(2b-a)}+2a]
  =b-[-a-{b-2b+a}+2a]
  =b-[-a-{-b+a}+2a]
  =b-[-a+b-a+2a]
  =b-[-2a+b+2a]
  =b-b
  =0

• 4. 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 :

  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}

• 5. 3640 ÷ 14*16 + 340 = ?

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

  Answer :

  Option B

• 6. Value of \begin{aligned} 2^5 \times 9^2 \end{aligned} has been written as 2596, what is the difference between actual value.

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

  Answer :

  Option D

• 7. \begin{aligned}
  (3\frac{1}{4}\div \{1\frac{1}{4} - \frac{1}{2}(2\frac{1}{2} - \overline {\frac{1}{4} - \frac{1}{6}} ) \} )
  \end{aligned}

  1. 78
  2. 88
  3. 98
  4. 108

  Answer :

  Option A

  Explanation:

  Tip:
  As you can see, there is bar over
  \begin{aligned}
  \overline{\frac{1}{4}-\frac{1}{6}}
  \end{aligned}
  So their sign will be changed from - to + as
  \begin{aligned}
  \frac{1}{4}+\frac{1}{6}
  \end{aligned}