Simplification Questions Answers (MCQ) listings with explanations includes questions on BODMAS and other tricky questions which are very important and useful for competitive exams.

21) If p - q = 3 and \begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of

• 1) 7
• 2) 8
• 3) 9
• 4) 10
Ans.   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}

22) \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