Simplification for IBPS PO test 6-Solved questions with detailed explanations for SSC, IBPS PO, SBI PO, RRB, RBI, CSE, CGL, CHSL, CDA, CSE, UPSC

21)

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

$(25% of 780 + 35% of 640) \div 4 =?$

[RBI (PO), 2015]

A)
108.25
B)
104.75
C)
120.75
D)
114.25
E)
110.75

Answer: Option B

Explanation

$\begin{array}{l} Here, \\ \Rightarrow (25% of 780 + 35% of 640) \div 4=? \\ \Rightarrow (25 \times 7.80+ 35 \times 6.4) \div 4 = ? \\ \Rightarrow (195+ 224) \div 4 \\ \Rightarrow ? = 419 \div 4 = 104.75 \end{array}$

Hence, Option B is correct.

Discussion

22)

$64 .5 % o f 800 + 36 .4 % o f 1500 = {(?)}^{2} + 38$

[Union Bank of India (PO), 2014]

A)
32
B)
38
C)
42
D)
48
E)
84

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 64 .5 % o f 800 + 36 .4 % o f 1500 = {(?)}^{2} + 38 \\ \Rightarrow \frac{64 .5}{100} \times 800 + \frac{36 .4}{100} \times 1500 = {(?)}^{2} + 38 \\ \Rightarrow 64.5 \times 8 + 36.4 \times 15 = {(?)}^{2} + 38 \\ \Rightarrow {516 + 546 = (?)}^{2} + 38 \\ \Rightarrow ?^{2} = 516+ 546 - 38 = 1062 - 38 \\ \Rightarrow ? = \sqrt{1024} = 32 \end{array}$

Hence, Option A is correct.

Discussion

23)

$\frac{1}{6} o f (92) % o f 1 \frac{1}{23} o f (650) = 85 + ?$

[Bank of Boroda (PO), 2011]

A)
18
B)
21
C)
19
D)
28
E)
None of these

Answer: Option C

Explanation

$\begin{array}{l} Here, \\ \Rightarrow \frac{1}{6} o f (92) % o f 1 \frac{1}{23} o f (650) = 85 + ? \\ \Rightarrow \frac{1}{6} \times \frac{92}{100} \times \frac{24}{23} \times 650 = 85 + ? \end{array} R e d u c e t h e n u m b e r s w i t h g r e a t e s t c o m m o n d i v i s o r 23 a n d 6 = \frac{4}{100} \times 4 \times 650 = 85 + ? R e d u c e t h e n u m b e r s w i t h g r e a t e s t c o m m o n d i v i s o r 50 = \frac{4}{2} \times 4 \times 13 = 85 + ? = 2 \times 4 \times 13 = 85 + ? = 104 = 85 + ? = - ? = 85 - 104 = - ? = - 19 = ? = 19$

Hence, Option C is correct.

Discussion

24)

$76% of 1285=35% of 1256+?$

[Corporation Bank (PO), 2011]

A)
543
B)
537
C)
547
D)
533
E)
None of these

Answer: Option B

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 76% of 1285=35% of 1256+? \\ \Rightarrow ? = 76% of 1285 - 35% of 1256 \\ \Rightarrow ?=1285 \times \frac{76}{100} - \frac{35}{100} \times 1256 \\ \Rightarrow ? = 976.60 - 439.60 \\ \Rightarrow ? = 537 \end{array}$

Hence, Option B is correct.

Discussion

25)

$14.2% of 5500 + 15.6% of ? = 1795$

[Corporation Bank (PO), 2011]

A)
6500
B)
6200
C)
5600
D)
5800
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 14.2% of 5500 + 15.6% of ? = 1795 \\ \Rightarrow \frac{142}{100} \times 5500 + 15 .6 o f ? = 1795 \\ \Rightarrow 15.6% of ?= 1795 - 142 \times 55 \\ = 1795 - 781 \\ \Rightarrow 15.6% of ? = 1014 \\ \Rightarrow ?= \frac{1014 \times 100}{15 .6} \\ = 65 \times 100 \\ = 6500 \end{array}$

Hence, Option A is correct.

Discussion

Simplification-Test 6 (Based on Surds and Indices/Percentages)

Answer: Option B

Answer: Option A

Answer: Option C

Answer: Option B

Answer: Option A