Simplification for IBPS PO test 8-Solved questions with detailed explanations for SSC, IBPS PO, SBI PO, RRB, RBI, CSE, CGL, CHSL, CDA, CSE, UPSC

26)

If a number is subtracted by two third of 75% of 600, the value so obtained is 120. What is the number?

[BOB (PO), 2010]

A)
180
B)
120
C)
160
D)
240
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Let the number be x . \\ So, \frac{2}{3} \times 75 % o f 600 - x = 120 \\ \Rightarrow \frac{2}{3} \times 75 % \times 600 - x = 120 \\ \Rightarrow \frac{2}{3} \times \frac{75}{100} \times 600 - x = 120 \\ \Rightarrow 300 - x =120 \\ \Rightarrow x = 300 - 1 20= 180 \end{array}$

Hence, Option A is correct.

Discussion

27)

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

[Corporation Bank (PO), 2010]

A)
25
B)
36
C)
42
D)
32
E)
None of these

Answer: Option B

Explanation

$\begin{array}{l} Here, number of students in the school \\ = 54 \times 30 = 1620 \\ ∴ Number of rows of 45 students each \\ = \frac{1620}{45} = 36 \end{array}$

Hence, option B is correct.

Discussion

28)

By how much is $\frac{3}{4} t h$ of 968 less than $\frac{7}{8} t h$ of 1008?

[Corporation Bank (PO), 2010]

A)
154
B)
146
C)
165
D)
158
E)
None of these

Answer: Option E

Explanation

$\begin{array}{l} Here, given expression can be written \\ as \\ = \frac{7}{8} \times 1008 - \frac{3}{4} \times 968 \\ = 7 \times 126 - 3 \times 242 \\ = 882 - 726 \\ = 156 \end{array}$

Hence, Option E is correct.

Discussion

29)

Two-third of three-fourth of one-fifth of a number is 15. What is 30% of that number?

[Allahabad Bank (PO), 2010]

A)
45
B)
75
C)
60
D)
30
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Let the number be x. \\ Then, \\ \Rightarrow \frac{2}{3} \times \frac{3}{4} \times \frac{1}{5} \times x = 15 \\ \Rightarrow \frac{1}{10} \times x = 15 \\ \Rightarrow x = 150 \\ So, 30% of 150 = \frac{30}{100} \times 150 = 45 \end{array}$

Hence, option A is correct.

Discussion

30)

Cost of 8 pens and 4 pencils is ₹ 176 and the cost of 2 pens and 2 pencils ₹ 48. What is the cost of one pen?

[Andhra Bank (PO), 2009]

A)
₹ 16
B)
₹ 12
C)
₹ 14
D)
₹ 18
E)
None of these

Discussion

Simplification-Test 8 (Based on Algebraic formulae/Statement simplifications)

Answer: Option A

Answer: Option B

Answer: Option E

Answer: Option A

Answer: Option E