High Level Simplification Questions For IBPS PO
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Instructions
What approximate value will come in place of question mark (?) in the given questions:
(You are not expected to calculate the exact value)
Question 1: 415.9 ÷ 4.02 + 13.04 x 28.978 = ?
a)Â 480
b)Â 470
c)Â 410
d)Â 490
e)Â 240
Question 2: ? % of (767 ÷ 6) = 7.889²
a)Â 25
b)Â 60
c)Â 40
d)Â 50
e)Â 75
Question 3: 319.89 – 15.03 x 3.692 = 1039.88 ÷ ?
a)Â 6
b)Â 8
c)Â 4
d)Â 2
e)Â 12
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Question 4:Â 124.99 x 4.998 + 129.992 – 75.05 = ?
a)Â 540
b)Â 780
c)Â 680
d)Â 620
e)Â 760
Question 5:Â $\sqrt {239.92 \times 2.995 – 94.95}$ = ?
a)Â 35
b)Â 10
c)Â 25
d)Â 15
e)Â 20
Instructions
What should come in place of the question mark (?) in the following questions?
Question 6:Â $\sqrt[3]{1331}$ =
a)Â 27
b)Â 21
c)Â 17
d)Â 9
e)Â None of these
Question 7:Â 18.5% of 220 + 12.4% of 680 = ?
a)Â 132.05
b)Â 125.02
c)Â 142.07
d)Â 118.07
e)Â None of these
Question 8:Â 188.21 – 27.54 – 11.93 = ?
a)Â 139.74
b)Â 126.64
c)Â 148.74
d)Â 184.64
e)Â None of these
Question 9: 1268 ÷ 8 ÷ 2 = ?
a)Â 71.75
b)Â 317
c)Â 268
d)Â 79.25
e)Â None of these
Question 10:Â ${8^{1.1}} \times {4^2}^{.7} \times {2^{3.3}} = {2^?}$
a)Â 7.1
b)Â 14
c)Â 0.5
d)Â 9
e)Â None of these
Instructions
What approximate value will come in place of the question mark (?) in the given questions? (You are not expected to calculate the exact value.)
Question 11: $\sqrt ?$ x 479.87 ÷ 12.01 = 179 + 139.99
a)Â 36
b)Â 100
c)Â 64
d)Â 4
e)Â 16
Question 12: 629 ÷ 9.02 – 139.996 ÷ 7.06 = ?
a)Â 75
b)Â 35
c)Â 50
d)Â 65
e)Â 25
Question 13: 719.999 ÷ 12.0001 + 12.9999 x 2.999 + 1.0001 = ?²
a)Â 10
b)Â 12
c)Â 8
d)Â 11
e)Â 7
Question 14: 45% of 401 ÷ 3 – ? = 6.022
a)Â 38
b)Â 52
c)Â 6
d)Â 54
e)Â 12
Question 15:Â 13.999% of 134.999 + $\sqrt {7.999 \times 8.0001}$Â = 20 % of ?
a)Â 140
b)Â 135
c)Â 145
d)Â 160
e)Â 150
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Answers & Solutions:
1) Answer (A)
Expression : 415.9 ÷ 4.02 + 13.04 x 28.978 = ?
= $(\frac{416}{4}) + (13 \times 29)$
= $104 + 377 = 481$
$\approx 480$
2) Answer (D)
Expression : ? % of (767 ÷ 6) = 7.889²
=> $x \%$ of $\frac{768}{6} = (8)^2$
=> $\frac{x}{100} \times 128 = 64$
=> $x = 64 \times \frac{100}{128}$
=> $x = \frac{100}{2} = 50$
3) Answer (C)
Expression : 319.89 – 15.03 x 3.692 = 1039.88 ÷ ?
=> $320 – (15 \times 4) = \frac{1040}{x}$
=> $320 – 60 = \frac{1040}{x}$
=> $x = \frac{1040}{260} = 4$
4) Answer (C)
Expression : 124.99 x 4.998 + 129.992 – 75.05 = ?
$\approx (125 \times 5) + 130 – 75$
= $625 + 55 = 680$
5) Answer (C)
Expression : $\sqrt {239.92 \times 2.995 – 94.95}$ = ?
$\approx \sqrt{(240 \times 3) – 95}$
= $\sqrt{720 – 95} = \sqrt{625}$
= $25$
6) Answer (E)
Expression : $\sqrt[3]{1331}$
= $\sqrt[3]{11 \times 11 \times 11}$
= $11$
7) Answer (B)
Expression : 18.5% of 220 + 12.4% of 680 = ?
= $(\frac{18.5}{100} \times 220) + (\frac{12.4}{100} \times 680)$
= $40.7 + 84.32 = 125.02$
8) Answer (C)
Expression : 188.21 – 27.54 – 11.93 = ?
= 188.21 – 39.47
= 148.74
9) Answer (D)
Expression : 1268 ÷ 8 ÷ 2 = ?
= $\frac{1268}{8} \div 2$
= $\frac{158.5}{2} = 79.25$
10) Answer (E)
Expression : ${8^{1.1}} \times {4^2}^{.7} \times {2^{3.3}} = {2^?}$
=> $(2)^{3 \times 1.1} \times (2)^{2 \times 0.7} \times (2)^{3.3} = (2)^x$
=> $(2)^{3.3} \times (2)^{1.4} \times (2)^{3.3} = (2)^x$
=> $(2)^{3.3 + 1.4 + 3.3} = (2)^x$
Comparing both sides, we get :
=> $x = 3.3 + 1.4 + 3.3 = 8$
11) Answer (C)
Expression : $\sqrt ?$ x 479.87 ÷ 12.01 = 179 + 139.99
=> $(\sqrt{x}) \times \frac{480}{12} = 180 + 140$
=> $\sqrt{x} \times 40 = 320$
=> $\sqrt{x} = \frac{320}{40} = 8$
=> $x = (8)^2 = 64$
12) Answer (C)
Expression : 629 ÷ 9.02 – 139.996 ÷ 7.06 = ?
= $(\frac{630}{9}) – (\frac{140}{7})$
= $70 – 20 = 50$
13) Answer (A)
Expression : 719.999 ÷ 12.0001 + 12.9999 x 2.999 + 1.0001 = ?²
=> $\frac{720}{12} + (13 \times 3) + 1 = (x)^2$
=> $60 + 39 + 1 = 100 = (x)^2$
=> $x = \sqrt{100} = 10$
14) Answer (D)
Expression : 45% of 401 ÷ 3 – ? = 6.022
=> $45 \%$ of $400 \div 3 – x = 6$
=> $\frac{45}{100} \times 400 \div 3 = 6 + x$
=> $\frac{45 \times 4}{3} = 6 + x$
=> $x + 6 = 15 \times 4 = 60$
=> $x = 60 – 6 = 54$
15) Answer (B)
Expression : 13.999% of 134.999 + $\sqrt {7.999 \times 8.0001}$ = 20 % of ?
$\approx 14 \%$ of $135 + \sqrt{8 \times 8} = \frac{20}{100} \times x$
=> $18.9 + 8 = \frac{x}{5}$
=> $x \approx 5 \times (19 + 8) = 5 \times 27$
=> $x = 135$