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 x 44÷ 24 + 63 = ?
A) 7498 B) 8548 C) 8408 D) 8156
2. 564 x 9 - 14 x 91 + (52)2 = ?
A) 4975 B) 5975 C) 6566 D) 6506
3. 258 + 32 - 31 x 112 ÷ 7 + (8)3 = ?
A) 5123 B) 512 C) 3063 D) 306
4. 567 ÷ 9 x
A) -15732 B) - 15237 C) 15327 D) 15732
5. (52)2 + (6)3 - (22)2÷ (2)1 x (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 x 18 - 40 + 120 + 207 ÷ 23 = ?
A) 89714 B) 1729 C) 6929 D) 15929
8. (81 x 19)2 - (220 ÷ 10)2 + (140 -188)2 = ?
A) 2370341 B) 2371314 C) 327240 D) 732450
9. ((9)3 - (6)2 ) ÷ (?) x 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) x (11) = ?
A) 2733 B) 7211 C) 2217 D) 2721
12. (16 - 7)3÷ (3)2 x 14 = ?
A) 1567 B) 1134 C) 1734 D) 1823
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 x 13 x 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 x 7 - 5 + 9 ÷ 3) ÷ (4 + 2)2 x 2 = ?
B - The order is: ( ), { }, [ ]
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
18. ((324 ÷ 12) - 7) x 6 = ?
A) 120 B) 121 C) 130 D) 131
19. [(7)3- (4)3 + (5)2 x (2)2 ] − 79 = ?
A) 400 B) 300 C) 200 D) 100
20. 80 + 4 x 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