# Simplification Questions

In Simplification Questions, an individual needs to solve the problem by doing complex calculations. Here, on this page we have mentioned Simplification Formulas as well as Simplification Questions & Answers that contains short solutions and can be solved using tricks.

recruitmentresult.com

Simplification Topic comes under Quantitative Aptitude section and is asked in mostly all the competitive exams. So, it’s important for candidates to learn the tricks and tactics of solving Simplification Questions in the given time limit.

Rules of Simplification:

VBODMAS:

• V : Virnaculum or bar
• B : Bracket
• : Of
• D : Division
• M : Multiplication
• S : Subtraction

Modulus:

Modulus of a real number x is its positive value, denoted by |x|.
Thus, |7| = 7 and |−7| = 7

Simplification Formula:

•  (a + b)2 = a2 + b2 + 2ab
• (a − b)2 = a2 + b2 − 2ab
• (a + b)(a − b) = a2 − b2
• (a + b)2 − (a − b)2 = 4ab
• (a + b)2 + (a − b)2 = 2 (a2 + b2)
• (a + b + c)2 = a2 + b2 + c2 + 2 (ab + bc + ac)
• (a3 + b3) = (a + b) (a2 − ab + b2)
• (a3 − b3) = (a − b) (a2 + ab + b2)
• (a + b)3 = a3 + b3 + 3ab(a + b)
• (a − b)3 = a3 − b3 − 3ab(a − b)
• (a3 + b3 + c3 − 3abc) = (a + b + c) (a2 + b2 + c2 − (ab + bc + ca))
• If a + b + c = 0, then a3 + b3 + c3 = 3abc

Simplification Tricks:

• Learn BODMAS.
• Use the concept of digital sum.
• Memorize tables up to 30.
• Memorize cubes and squares of numbers up to 35.
• Learn the concept of percentages.
• Learn tricks to find squares and cubes of numbers greater than 35.
• Learn tricks to find cube roots and square roots of large number.
• Memorize the reciprocals.

## Simplification Questions

Question 1) 1035 ÷ [(3/4) of (71 + 65) – 15 ¾] = ?

1. 12
2. 24
3. 18
4. 26
5. None of these

Explanation:

1035 ÷ [(3/4)*136 – 63/4] = x

X = 1035 ÷ [102 – (63/4)]

X = 1035 ÷ [(408 – 63)/4]

X = 1035 ÷ (345/4)

X = 1035 *4/345

X = 12

Question 2) √((27 ÷ 5 ×?) ÷ 15) = 5.4 ÷ 6 +0.3

1. 12
2. 4
3. 9
4. 15
5. None of these

Explanation:

√((27 /5 )×(x/15)) =0.9+0.3

(3/5) √ x = 1.2

√ x = 6/3 =2

X= 4

Question 3) 363 × 40961/2 × 72 × 18 ÷ (93 × 722) = 4?

1. 8
2. 12
3. 7
4. 5
5. None of these

Explanation:

(36*36*36*64*72*18)/(9*9*9*72*72) = 4x

4*4*43 = 4x

45 = 4x

X = 5

Question 4) (913 + 329 + 522 + 343) ÷ (18 + 24 – ? + 18) = 43

1. 23
2. 11
3. 7
4. 29
5. 15

Explanation:

(913 + 329 + 522 + 343) ÷ (18 + 24 – x + 18) = 43

2107 ÷ (60 –x) = 43

(2107/43) = 60 – x

49 = 60 – x

X = 60 – 49 = 11

Question 5) 12¾ % of 2400 + 23 ½ % of 800 + 452 = 1125 ÷ 25 × 4 + ?

1. 658
2. 532
3. 776
4. 614
5. 590

Explanation:

(51/400)*2400 + (47/200)*800 + 2025 = (1125/25) + 4x

306 + 818 + 2025 – 45 = 4x

3104 = 4x

X = 3104/4 = 776

Question 6) (4/5) of 11325 + 56 % of 1750 = (?)2 + 436

1. 116
2. 72
3. 98
4. 84
5. 102

Explanation:

(4/5)*11325 + (56/100)*1750 = x2 + 436

9060 + 980 – 436 = x2

10040 – 436 = x2

9604 = x2

X = 98

Question 7) 1.8 × 625 + 5.6 ÷ 0.7 + 415 × 11.8 = (?)2 – 211

1. 79
2. 85
3. 92
4. 69
5. 61

Explanation:

1.8 × 625 + 5.6 ÷ 0.7 + 415 × 11.8 = (?)2 – 211

1125 + 8 + 4897 = x2 – 211

6241 = x2

X = 79

Question 8) 586 × 9234 ÷ 48 % of 950 = 36 × 750 ÷ 4 + ? + 4500

1. 25
2. 728
3. 5
4. 75
5. 474

Explanation:

586 × [9234 ÷ ((48/100)*950)] = 36 × (750/4) + x + 4500

586*(9234/456) = 6750 + x + 4500

11866.5 – 11250

X = 616.5

Question 9) (28 × 9 + 54 × 3 + 12 × 11) ÷ (142 – √961 + 17) = ?

1. 6
2. 3
3. 5
4. 8
5. 7

Explanation:

(28 × 9 + 54 × 3 + 12 × 11) ÷ (14– √961 + 17) = x

X = (252 + 162 + 132) ÷ (196 – 31 + 17)

X = 546/182

X = 3

Question 10) √13225 + ∛205379 + 52 % of 700 = 408 + ?

1. 156
2. 218
3. 189
4. 130
5. None of these

Explanation:

√13225 + ∛205379 + 52 % of 700 = 408 + x

115 + 59 + (52/100)*700 – 408 = x

115 + 59 + 364 – 408 = x

X = 130

Question 11) (7 × 7)3 ÷ (49 × 7)3 × (2401)2 = 7?

1. 7
2. 5
3. 6
4. 8
5. None of these

Explanation:

(7 × 7)3 ÷ (49 × 7)3 × (2401)2 = 7x

(72)3 ÷ (72 × 7)3 × (74)2 = 7x

76 ÷ 79 × 78 = 7x

76 – 9 + 8 = 7x

75 = 7x

X = 5

Question 12) 5 ¾ – 4 1/8 + 7 ½ – 3 3/8 = ?

1. 4 3/7
2. 6 5/6
3. 7 ½
4. 5 ¾
5. None of these

Explanation:

5 ¾ – 4 1/8 + 7 ½ – 3 3/8 = x

X = (5 – 4 + 7 – 3) (3/4 – 1/8 + ½ – 3/8)

X = 5 [(6 – 1 + 4 – 3)/8]

X = 5 (6/8) = 5 (3/4)

Question 13) (2 7/9) ÷ (5 1/2) × (693/350) = (1/3) of (5/7) of (147/175) of (?)

1. 12
2. 26
3. 5
4. 18
5. 9

Explanation:

(25/9)*(2/11)*(693/350) = (1/3)*(5/7)*(147/175)*x

1 = (x/5)

X = 5

Read Out: Problem on HCF and LCM

Question 14) (3/7) of ? – (2/5) of (13/16) of 2160 = 12 % of 900

1. 2150
2. 1540
3. 1960
4. 1890
5. 2370

Explanation:

(3/7)*x – (2/5)*(13/16)*2160 = (12/100)*900

(3x/7) – 702 = 108

(3x/7) = 108 + 702

(3x/7) = 810

X = (810*7/3) = 1890

Question 15) ∛157464 + √8836 – 45 % of 800 =? + (1188 ÷ 9) – 362

1. 952
2. 816
3. 878
4. 924
5. None of these

Explanation:

54 + 94 – (45/100)*800 = x + (1188/9) – 1296

54 + 94 – 360 + 1296 = x + 132

54 + 94 – 360 + 1296 – 132 = x

X = 952

Question 16) (4/5) of 11325 + 56 % of 1750 = (?)2 + 436

1. 116
2. 72
3. 98
4. 84
5. 102

Explanation:

(4/5)*11325 + (56/100)*1750 = x2 + 436

9060 + 980 – 436 = x2

10040 – 436 = x2

9604 = x2

X = 98

Check Out: Percentage Aptitude Questions

Question 17) 18 ¼ % of 17200 + 33 2/3 % of 1860 + 37 2/3 % of 19680 = ?

1. 11178
2. 13456
3. 9824
4. 10242
5. 8454

Explanation:

(73/400)*17200 + (101/300)*1860 + (113/300)*19680= x

X = 3139 + 626.2 + 7412.8

X = 11178

Question 18) 1323 ÷ (27 % of 700) = 35 × 7 3/5 of (? ÷ 190)

1. 7
2. 9
3. 4
4. 5
5. 8

Explanation:

1323 ÷ [(27/100)*700] = 35 × (38/5)*(x/190)

1323 ÷ 189 = 35 × (38/5)*(x/190)

(7*5*190)/(35*38) = x

X = 5

Question 19) 32450 ÷ 11 + (4/9) of 11520 + 48 % of 7500 = ?2 – 430

1. 150
2. 178
3. 110
4. 92
5. None of these

Explanation:

(32450/11) + (4/9)*11520 + (48/100)*7500 = x2 – 430

2950 + 5120 + 3600 + 430 = x2

X2 = 12100

X = 110

Solve Here: Discount Questions and Answers

Question 20) 492 ÷ 14 × 8 + 582 = 4 × ? – 15 % of 2480

1. 1489
2. 1277
3. 1645
4. 1823
5. None of these

Explanation:

(49*49*8)/14 + 582 = 4x – (15/100)*2480

1372 + 3364 = 4x – 372

1372 + 3364 + 372 = 4x

5108 = 4x

X = 5108/4 = 1277

Candidates must go through Simplification Questions & Answers given on this page of recruitmentresult.com and can practice from it to score good marks in the examination.

Something That You Should Put An Eye On

 Mensuration Questions and Answers Mixture and Alligation Practice Questions Surds and Indices Questions Simple Interest Aptitude Questions Time And Distance Questions Compound Interest Aptitude Questions Permutation Combination Questions Partnership Questions and Answers