Model 1 Simplification using VBODMAS Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on simplification topic of quantitative aptitude
(a) $1/2$
(b) 1
(c) 2
(d) $5/8$
The correct answers to the above question in:
Answer: (d)
Using Rule 1,
= 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}]
= 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + ${1/2}$)}]
= 1 ÷ [1 + 1 ÷ {1 + 1 ÷ ${3/2}$}]
= 1 ÷ [1 + 1 ÷ {1 + ${2/3}$}] = 1 ÷ [1 + 1 ÷ ${5/3}$]
= 1 ÷ [1 + ${3/5}$] = 1 ÷ $8/5 = 5/8$
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Read more problems based on vbodmas Based Quantitative Aptitude Questions and Answers
Question : 1
Simplify : ${{5/3} × {7/51} of {17/5} - {1/3}}/{{2/9 × {5/7} of {28/5} - {2/3}$
a) $1/4$
b) $1/2$
c) 2
d) 4
Answer »Answer: (c)
Using Rule 1,
${{5/3} × {7/51} of {17/5} - {1/3}}/{{2/9 × {5/7} of {28/5} - {2/3}$
= ${{5/3} × {7/51} - {1/3}}/{{2/9 × {4} - {2/3}$
= ${7/9 - 1/3}/{8/9 - 2/3} = 4/9 × 9/2 = 2$
Question : 2
The value of 0.008 × 0.01 × 0.072 ÷ (0.12 × 0.0004) is :
a) 1.02
b) 1.2
c) 0.012
d) 0.12
Answer »Answer: (d)
Using Rule 1,
0.008 × 0.01 × 0.072 ÷ (0.12 × 0.0004)
= 0.008 × 0.01 × 0.072 ÷ (0.000048)
= 0.008 × 0.01 × ${0.072}/{0.000048}$
= ${0.00000576}/{0.000048}$ = 0.12
Question : 3
Evaluate : ${- (4 - 6)^2 - 3(- 2)+|- 6|}/{18 - 9 ÷ 3 × 5}$
a) $7/4$
b) $3/8$
c) $8/3$
d) $4/7$
Answer »Answer: (c)
? = ${- (- 2)^2 + 6 +6}/{18 - 15}$
= ${- 4 +12}/3 = 8/3$
Question : 4
1– [5 - {2 + (– 5 + 6 - 2) 2}] is equal to :
a) –2
b) –4
c) 0
d) 2
Answer »Answer: (b)
Using Rule 1,
? = 1 - [5 - {2 + (–1)2}]
= 1 - [5 - {2 - 2}]
= 1 - [5 - 0]
= 1 - 5 = - 4
Question : 5
Simplify : ${2{3/4}}/{1{5/6}} ÷ {7/8} × (1/3 + 1/4) + 5/7 ÷ {3/4} of {3/7}$
a) 3$2/9$
b) $56/77$
c) $2/3$
d) $49/80$
Answer »Answer: (a)
Using Rule 1,
The given expression
${2{3/4}}/{1{5/6}} ÷ {7/8} × (1/3 + 1/4) + 5/7 ÷ {3/4} of {3/7}$
= ${11/4}/{11/6} ÷ {7/8} × ({4+3}/12) + 5/7 ÷ {3/4} of {3/7}$
= $(11/4 × 6/11) ÷ {7/8} × 7/12 + 5/7 ÷ (3/4 × 3/7)$
= ${3/2} ÷ {7/8} × 7/12 + {5/7} ÷ {9/28}$
= ${3/2} × {8/7} × 7/12 + {5/7} ×{28/9}$
= $1 + 20/9 = {9+20}/9 = 29/9 = 3{2}/9$
Question : 6
If ${1120}/{√{P}}$ = 80, then P is equal to
a) 225
b) 14
c) 196
d) 140
Answer »Answer: (c)
80 × $√{P}$ = 1120
$√{P} = 1120/80 = 14$
P = $(14)^2 = 196$
GET simplification PRACTICE TEST EXERCISES
Model 1 Simplification using VBODMAS
Model 2 Simplification based on square & square root
Model 3 Simplification based on cube & cube root
Model 4 Simplification with continued fraction
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