Simplification for IBPS clerk test 7-Solved questions with detailed explanations for SSC, IBPS PO, SBI PO, RRB, RBI, CSE, CGL, CHSL, CDA, CSE, UPSC

1)

What will come in place of question mark (?) in the following questions

$151.25% of 84 \times 24% of 85 = ?$

[Union Bank of India (PO), 2011]

A)
424.2
B)
488.4
C)
482.8
D)
428.4
E)
None of these

Answer: Option D

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 25% of 84 \times 24% of 85 = ? \\ \Rightarrow \frac{25}{100} \times 84 \times \frac{24}{100} \times 85 = ? \\ \Rightarrow 21 \times 20 .40 = ? \\ \Rightarrow ? = 428 .4 \end{array}$

Hence, Option D is correct.

Discussion

2)

$64% of ? \div 14 = 176$

[Rajasthan Grameen Bank (PO), 2011]

A)
3800
B)
3950
C)
3850
D)
3900
E)
None of these

Answer: Option C

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 64% of ? \div 14 = 176 \\ \Rightarrow 64% of ? = 176 \times 14 \\ \Rightarrow ?= \frac{176 \times 14}{64} \times 100 \\ \Rightarrow ? = \frac{2464 \times 100}{64} \Rightarrow ? = 38 .5 \times 100 \\ \Rightarrow ? = 3850 \end{array}$

Hence, Option C is correct.

Discussion

3)

$40% of 265 + 35% of 180 =50% of ?$

[Allahabad Bank (PO), 2010

A)
338
B)
84.5
C)
253.5
D)
169
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 40% of 265 + 35% of 180 =50% of ? \\ It can also be written as \\ \Rightarrow \frac{40}{100} \times 256 + 35 % o f 180 = 50 % o f ? \\ \Rightarrow 40 \times 2.65 + 35 \times 1.8= \frac{50}{100} \times ? \\ \Rightarrow 106+ 63= \frac{1}{2} \times ? [50 % = \frac{1}{2}] \\ \Rightarrow ? = 169 \times 2 = 338 \end{array}$

Hence, Option A is correct.

Discussion

4)

$4 \frac{1}{5} \times 3 \frac{1}{3} +? = 20% of 120$

[Allahabad Bank (PO), 2010]

A)
$10 \frac{1}{15}$
B)
10
C)
5
D)
15
E)
None of these

Answer: Option B

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 4 \frac{1}{5} \times 3 \frac{1}{3} +? = 20% of 120 \\ It can also be written as \\ \Rightarrow \frac{21}{5} \times \frac{10}{3} + ? = \frac{1}{5} \times 120 [∵ 20 % = \frac{1}{5}] \\ \Rightarrow \frac{21}{5} \times \frac{10}{3} + ? = 24 \\ \Rightarrow 7 \times 2 + ? = 24 \\ \Rightarrow ? = 24 - 14 = 10 \end{array}$

Hence, Option B is correct.

Discussion

5)

$\frac{2}{3} of 1 \frac{2}{5} 75 % of 540 = ?$

[Allahabad Bank (PO), 2010]

A)
378
B)
756
C)
252
D)
332
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow \frac{2}{3} of 1 \frac{2}{5} 75 % of 540 = ? \\ It can be simplified as \\ \Rightarrow \frac{2}{3} \times \frac{7}{5} \times \frac{75}{100} \times 540 = ? \\ \Rightarrow \frac{14}{15} \times \frac{75}{100} \times 540 = ? \\ \Rightarrow \frac{14 \times 5}{100} \times 540 = ? \\ \Rightarrow 7 \times 54 = ? \\ \Rightarrow ? = 54 \times 7 = 378 \end{array}$

Hence, Option A is correct.

Discussion

Simplification-Test 7 (Based on Simplification of Percentages)

Answer: Option D

Answer: Option C

Answer: Option A

Answer: Option B

Answer: Option A