# Simplification Practice Set 2

5 Steps - 3 Clicks

# Simplification Practice Set 2

### Introduction

Simplification Practice Set 1 is useful for the aspirants of several bank exams and competitive exams. The Simplification Practice Set 1 contains important questions from Simplification which match the pattern of Banking exams. Simplification Quiz Questions will consume more time. BODMAS technique is very useful to score maximum marks in Simplification concept related questions.

### Quiz

1. $${6}^{3}$$× $${3}^{4}$$ ÷ $${9}^{3}$$ + $${?}^{2}$$ = $${7}^{2}$$

A. 4
B. 7
C. 5
D. 6

Explanation: $${6}^{3}$$× $${3}^{4}$$ ÷ $${9}^{3}$$ + $${?}^{2}$$ = $${7}^{2}$$
216 × 81 ÷ 729 + $${?}^{2}$$ = 49
216 × 81 × $$\frac{1}{729}$$ + $${?}^{2}$$ = 49
24 + $${?}^{2}$$ = 49
$${?}^{2}$$ = 49 – 24 = 25 = $${5}^{2}$$
∴ ? = 5

2. 70% of 1680 + ?% of 1750 = 55% of 2820 – 886

A. 36
B. 34
C. 28
D. None of these

Explanation: 70% of 1680 + ?% of 1750 = 55% of 2820 – 886
$$\frac{70}{100}$$ × 1680 + $$\frac{?}{10}$$× 1750 = $$\frac{55}{100}$$× 2820 – 886

1176 + $$\frac{?}{10}$$× 175 = 1551 – 886 = 665

$$\frac{?}{10}$$ × 175 = 665 – 1176 = –511
? = $$\frac{511 × 10}{175}$$ = –29.2

3. 326 × 14 – 12 × 88 + $${49}^{2}$$= ?

A. 5110
B. 5909
C. 5809
D. 6909

Explanation:

326 × 14 – 12 × 88 + $${49}^{2}$$= ?
4564 – 1056 + 2401 = 5909

4. 46% of 1250 + ?% of 4680 = 1183.4

A. 18
B. 15
C. 22
D. 13

Explanation: 46% of 1250 + ?% of 4680 = 1183.4

$$\frac{511 × 10}{175}$$× 1250 + $$\frac{?}{100}$$ × 4680 = 1183.4

575 + $$\frac{?}{5}$$× 234 = 1183.4

$$\frac{?}{5}$$× 234 = 1183.4 – 575 = 608.4
? = $$\frac{608.4 × 5}{234}$$ = $$\frac{3042}{234}$$ = 13

5. 8 $$\frac{1}{2}$$ + 4$$\frac{2}{7}$$ = 5$$\frac{1}{2}$$ + ?

A. 8 $$\frac{1}{7}$$
B. 6 $$\frac{1}{7}$$
C. 7 $$\frac{2}{7}$$
D. 5 $$\frac{1}{7}$$

Explanation: 8 $$\frac{1}{2}$$ + 4$$\frac{2}{7}$$ = 5$$\frac{1}{2}$$ + ?
? = 8 $$\frac{1}{2}$$ + 4$$\frac{2}{7}$$ – 5$$\frac{1}{2}$$
= (8 + 4 – 5) + $$\frac{1}{2}$$ +( $$\frac{2}{7}$$ – $$\frac{1}{2}$$)
7 + $$\frac{2}{7}$$ = 7$$\frac{2}{7}$$

1. 85% of 620 + x% of 480 = 70% of 890

A. 10%
B. 20%
C. 35%
D. 40%

Explanation: 85% of 620 + x% of 480 = 70% of 890

527 + x × 480 ÷ 100 = 623

x × 4.8 = 623 – 527

x × 4.8 = 96

x = 20%

2. (624 + 146) × 2 ÷ 77 = ? ÷ (– 2)

A. 40
B. – 30
C. 25
D. -40

Explanation: (624 + 146)×$$\frac{2}{27}$$ = $$\frac{?}{-2}$$
770 × $$\frac{2}{27}$$ = $$\frac{?}{-2}$$
20 × (– 2) = ?

? = – 40

3. (5.25 × 6 × 4) ÷ 7 – 2 = $${?}^{2}$$

A. 4
B. 6
C. 0
D. 2

Explanation: $$\frac{(5.25 × 6 × 4)}{7}$$ – 2 = $${?}^{2}$$
$$\frac{126}{7}$$– 2 = $${?}^{2}$$
18 – 2 = $${?}^{2}$$
$${?}^{2}$$ = 16
? = 4

4. 6$$\sqrt{6}$$ ×2$$\sqrt{3}$$ x 4$$\sqrt{2}$$÷ 12 = ? + 123 – 59

A. 75
B. 45
C. 80
D. None of these

Explanation: 6$$\sqrt{6}$$ ×2$$\sqrt{3}$$ x 4$$\sqrt{2}$$÷ 12 = ? + 123 – 59

? + 64 = 6$$\sqrt{6}$$ ×2$$\sqrt{3}$$ x 4$$\sqrt{2}$$÷ 12

? + 64 = $$\frac{(6 × 6 × 2 × 4)}{12}$$

? + 64 = 24

? = 24 – 64

? = – 40

5. [$$\sqrt{2401}$$ + $$\sqrt{625}$$– (29 + 5)]÷ 4 = $${?}^{1/2}$$

A. 125
B. 169
C. 144
D. 100

Explanation: 853 + $$\frac{(√2401 + √625) – (29 + 5)}{4}$$ = ? = 4990 – 9643 + 7750 = 3097 = $${?}^{1/2}$$
$$\frac{(49 + 25) – (34) }{4}$$ = $${?}^{1/2}$$
$$\frac{74-34}{4}$$ = $${?}^{1/2}$$

$$\frac{40}{4}$$ = $${?}^{1/2}$$
10 = $${?}^{1/2}$$
? = 100

1. 333.44 + 33.4444 + 3.444 + 3333.4 = ?

A. 3703.5284
B. 3704.7284
C. 3703.7284
D. 3703.7384

Explanation: 333.44 + 33.4444 + 3.444 + 3333.4 = ?

3 + 33 + 333 + 3333 + .4 + .44 + .444 + .4444 = ?

3 (1234) + 4(.4321) = ?

3702 + 1.7284 = ?

? = 3703.7284

2. 1 $$\frac{13}{6}$$ – 2 $$\frac{7}{18}$$ + 5 $$\frac{4}{9}$$ = ? + $$\frac{7}{3}$$

A. 2$$\frac{3}{4}$$
B. 5$$\frac{2}{3}$$
C. 3$$\frac{8}{9}$$
D. 1$$\frac{3}{4}$$

Explanation: 1 $$\frac{13}{6}$$ – 2 $$\frac{7}{18}$$ + 5 $$\frac{4}{9}$$ = ? + $$\frac{7}{3}$$
1 $$\frac{13}{6}$$ – 2 $$\frac{7}{18}$$ + 5 $$\frac{4}{9}$$ – $$\frac{7}{3}$$ = ?

1 – 2 + 5 + ($$\frac{13}{6}$$ – $$\frac{7}{18}$$ + $$\frac{4}{9}$$ – $$\frac{4}{9}$$)
6 – 2 + $$\frac{39 – 7 + 8 – 42}{18}$$ = ?
4 + $$\frac{-2}{18}$$ = ?
3 + (1 – $$\frac{1}{9}$$ = ?

? = 3 + $$\frac{8}{9}$$
? = 3$$\frac{8}{9}$$

3. $${?}^{2}$$ – 18.75 – 11.25 = 9.09% of 396 + 295

A. 30
B. 25
C. 21
D. 19

Explanation:$${?}^{2}$$ – 18.75 – 11.25 = 9.09% of 396 + 295

$${?}^{2}$$ – 30 = 396 ÷ 11 + 295

$${?}^{2}$$ = 36 + 295 + 30

$${?}^{2}$$ = 361

? = 19

4. (37.5% of 1160) ÷( $$\sqrt{441}$$ – $$\sqrt{256}$$ ) = ? + 23

A. 70
B. 55
C. 61
D. 64

Explanation: $$\frac{37.5% of 1160}{441 – 256}$$ = ? + 23

$$\frac{\frac{3}{8}×1160}{{21 – 16}}$$ = ? + 23
$$\frac{435}{5}$$ = ? + 23
87 – 23 = ?

? = 64

5. (11.275 + 101.237 + 13.5) ÷ $$\sqrt[3]{64}$$(17.657 + 18.976) ÷ $${2}^{2}$$ = $${?}^{2}$$ + 8.379 ÷ 4

A. 3
B. 5.5
C. 4.5
D. 6

Explanation:(11.275 + 101.237 + 13.5) ÷ 64 – (17.657 + 18.976) ÷ 22 = $${?}^{2}$$ + 8.379 ÷ 4

(126.012) ÷ 4 – (36.633) ÷ 4 = $${?}^{2}$$ + 8.379 ÷ 4

(126.012) ÷ 4 – (36.633) ÷ 4 – (8.379) ÷ 4 = $${?}^{2}$$

(126.012 – 45.012) ÷ 4 = ?2

$${?}^{2}$$ = 81 ÷ 4

? = $$\frac{9}{2}$$ = 4.5

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