Simplification is a very important topic in the Quantitative Aptitude section for various government exams. This is a game changer topic and it helps how to solve a question in a simplified manner. By learning this topic, we can gain good marks.
There are two types of questions in this topic:
1. Missing numbers are when an equation is given and the candidate must fill in the blanks.
2. Simplifying equation questions present an equation directly and ask the candidate to find its solution.
Formulae to solve these type of questions are:
(a + b)2 = a2 + b2 + 2ab
(a – b)2 = a2 + b2 – 2ab
a2 – b2 = (a + b) (a – b)
a3 + b3 = (a + b) (a2 – ab + b2)
(a + b)3 = a3 + b3 + 3ab (a + b)
(a – b)3 = a3 – b3 – 3ab (a – b)
1. 83 × 44 ÷ 24 + 63 = ?
A) 7498 B) 8548 C) 8408 D) 8156
2. 564 × 9 − 14 × 91 + (52)2 = ?
A) 4975 B) 5975 C) 6566 D) 6506
3. 258 + 32 − 31 × 112 ÷ 7 + (8)3 = ?
A) 5123 B) 512 C) 3063 D) 306
4. 567 ÷ 9 ×
A) −15732 B) −15237 C) 15327 D) 15732
5. (52)2 + (6)3 − (22)2 ÷ (2)1 × (6)2
A) 6729 B) 5972 C) −5792 D) 5793
6. 55% (4500) + 65% (7560) = ?
A) 7389 B) 7839 C) 7997 D) 7693
7. 880 × 18 − 40 + 120 + 207 ÷ 23 = ?
A) 89714 B) 1729 C) 6929 D) 15929
8. (81 × 19)2 − (220 ÷ 10)2 + (140 − 188)2 = ?
A) 2370341 B) 2371314 C) 327240 D) 732450
9. ((9)3 − (6)2) ÷ (?) × 12 = 1188
A) 14 B) 9 C) 7 D) 12
10. 2320 ÷ (?) ÷ 8 = 10
A) 27 B) 29 C) 25 D) 23
11. (115 − 23) + (676 − 437) × (11) = ?
A) 2733 B) 7211 C) 2217 D) 2721
12. (16 − 7)3 ÷ (3)2 × 14 = ?
A) 1567 B) 1134 C) 1734 D) 1823
13. 
× 4 − 47 = ?
A) 196 B) 164 C) 149 D) 194
14. [(17)2 − (13)2 + 576] ÷ 12 = ?
A) 96 B) 58 C) 63 D) 78
15. [[12 × 13 × 7] ÷ 4 − 73] ÷ 10 = ?
A) 10 B) 15 C) 20 D) 25
16. [7 + 30 ÷ 6 − (6 + 6) + 7] = ?
A) 6 B) 7 C) 5 D) A
17. (2 × 7 − 5 + 9 ÷ 3) ÷ (4 + 2)2 × 2 = ?
A) 2 B) 
C) 
D) 1.5
18. ((324 ÷ 12) − 7) × 6 = ?
A) 120 B) 121 C) 130 D) 131
19. [(7)3 − (4)3 + (5)2 × (2)2] − 79 = ?
A) 400 B) 300 C) 200 D) 100
20. 80 + 4 × 7 ÷ 7 + 16 − 3 = ?
A) 97 B) 96 C) 95 D) 92
KEY
1-C ; 2-D ; 3-D ; 4-B ; 5-C ; 6-A ; 7-D ; 8-A ; 9-C ; 10-B ; 11-D ; 12-B ; 13-C ; 14-B ; 15-C ; 16-B ; 17-C ; 18-A ; 19-B ; 20-A
Rule to be followed for solving these questions
B - The order is: ( ), { }, [ ]
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
