Model 1 Simplification using VBODMAS Practice Questions Answers Test with Solutions & More Shortcuts

simplification PRACTICE TEST [4 - EXERCISES]

Question : 1

When $(1/2 - 1/4 + 1/5 - 1/6)$ is divided by $(2/5 - 5/9 + 3/5 - 7/18)$,the result is :

a) 3$3/10$

b) 5$1/10$

c) 3$1/6$

d) 2$1/18$

Using Rule 1,

? = $(1/2 - 1/4 + 1/5 - 1/6)÷(2/5 - 5/9 + 3/5 - 7/18)$

= $({30 - 15 + 12 -10}/60) ÷ ({36 - 50 +54 - 35}/90)$

= $(17/60) ÷ (5/90) = 17/60 × {18}$

= $51/10 = 5{1/10}$

Question : 2 [SSC CGL Prelim 2002]

For what value of *, statement $[(\text"*")/21 × (\text"*")/189]$ = 1 is correct ?

a) 21

b) 3969

c) 63

d) 147

Let '*' be H

$[(H)/21 × (H)/189]$ = 1

$(H)^2$ = 21 × 189

H = $√{21 × 189}$ = 63

Question : 3 [SSC CGL Prelim 2002]

The value of 25 - 5 [2 + 3 (2 - 2 (5 - 3) + 5) - 10] ÷ 4 is :

a) 25

b) 5

c) 23.75

d) 23.25

Using Rule 1,

Expression

= 25 - 5 [2 + 3 {2 - 2(5 - 3) + 5} - 10] ÷ 4

= 25 - 5 [2 + 3 {2 - 2 × 2 + 5} - 10] ÷ 4

= 25 - 5 [2 + 9 - 10] ÷ 4

= 25 - 5 ÷ 4 = 25 - $5/4$

= ${100 - 5}/4 = 95/4 = 23.75$

Question : 4 [SSC CGL Prelim 2000]

When simplified, the expression $(100)^{1/2} × (0.001)^{1/3} - (0.0016)^{1/4} × 3^{0} + (5/4)^{- 1}$ is equal to:

a) 0

b) 1.6

c) 1.0

d) 0.8

Using Rule 1,

$(100)^{1/2} × (0.001)^{1/3} - (0.0016)^{1/4} × 3^{0} + (5/4)^{- 1}$

=10 × 0.1 - 0.2 × 1 + $4/5$

= 1 - 0.2 + 0.8 = 1.6

Question : 5 [SSC CGL Prelim 2002]

${0.8\ov{3} ÷ 7.5}/{2.3\ov{21} - 0.0\ov{98}}$ is equal to

a) 0.05

b) 0.6

c) 0.06

d) 0.1

${0.8\ov{3} ÷ 7.5}/{2.3\ov{21} - 0.0\ov{98}} = {{{83 - 8}/90} ÷ {7.5}}/{2{{321 - 3}/990} - {98/990}}$

= ${{75/90} + {7.5}}/{{{2}318/990} - 98/990} = {{75/90} + {7.5}}/{{2}220/990}$

= ${7.5}/{90 × {7.5}} × 990/2200 = 1/20 = 0.05$

Recently Added Subject & Categories For All Competitive Exams

Top 149+ Biology General Knowledge Practice MCQ Test

Top Biology Ecology & Environment Awareness General Knowledge Multiple Choice Questions And Answers. General Science GK Practice Test For Competitive Exams

December-16-2022 by Careericons

Important General Science Biology Practice MCQ Questions

Top General Science Biology In Human Welfare Based Multiple Choice Questions And Answers, Practice MCQ Test For All Competitive Exams, NEET, SSC, Interview

December-06-2022 by Careericons

Top 199+ General Science Biology Practice Test, MCQ PDF

Most Important General Science Biology Human Welfare Multiple Choice Questions And Answers (MCQ) PDF, Practice Test For All Competitive Exams, SSC, NEET, RRB

December-01-2022 by Careericons

New General Science Biology MCQ Online Practice Test, PDF

Top Most General Science Biology Food Production Multiple Choice Questions And Answers (MCQ), Online GK Practice Test, PDF For All Competitive Exams, NEET

November-29-2022 by Careericons