10 Oct 2016

IBPS Clerk/PO 2016 - Practice Quantitative Aptitude Questions

IBPS Clerk/PO 2016 - Practice Quantitative Aptitude Questions Set-21:
Dear Readers, Important Practice Aptitude Questions for IBPS Clerk and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.

1). A mixture contains milk and water in the ratio of 3:2 litter of water is added to the mixture, milk, milk and water in the mixture become equal find the quantities of milk and water in the mixture .
a)    12, 8 litter
b)    4,3 litter
c)    12, 6 litres
d)    10,8 litres
e)    None of these

2). A and B working alone can finish a job in 5 days and 7 days respectively. They work at it alternately for a day. If A starts the work, find in how many days the job will be finished?
a)    29/5
b)    11/5
c)    24/5
d)    21/5
e)    None of these

3). The incomes of A of B are in the ratio 3:2 and their expenditure are in the ratio 5:3 if each saves rupees 2000, what is their income?
a)    32000
b)    20000
c)    1190
d)    8000
e)    None of these

4). The ratio between two number is 3:4 ,if each number be increased by 9, the ratio becomes 18:23 find the sum of the number
a)    135
b)    105
c)    155
d)    165
e)    None of these

5). 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
a)    4 days
b)    6 days
c)    2 days
d)    8 days
e)    7 days

Directions (Q. 6-10): Study the following bar graph and pie-chart and answer the questions that follow:

Sector wise export in each month

6). The export of Diamond in March is approximately how many times the export of Diamond in April?
a)    2.212 times
b)    1.212 times
c)    1.732 times
d)    17 times
e)    2 times

7). What is the average export (in billion dollars) of Cotton industry over the period March to August?
a)    14.6.
b)    17.8
c)    18.9
d)    12.6
e)    None of these

8). The export of Rice and Cotton together in the month of August is approximately what per cent of the export of the other three categories in the pie-chart in the same month?
a)    84%
b)    180%
c)    186%
d)    86%
e)    190%

9). If the export in September increases by 15% in comparison to previous year, then what is the approximate amount of increase in Rice industry?
a)    \$37 billion
b)    \$49 billion
c)    \$48 billion
d)    Data inadequate
e)    None of these

10). The export of Sugar in July is what per cent more than Iron in April?
a)    21%
b)    24%
c)    23%
d)    22%
e)    None of these

Answers:
1).a)  2).b)  3).d)  4).b)  5).a)  6).b)  7).d)  8).c)  9).d) 10). b)

Solution:
1). Let quantities of milk and water in the mixture be 3x and 2x. Then if 4 litres of water is added to the mixture the ratio of milk and water become 1:1.
It can be written as (3x): (2x + 4) = 1/1
Thus, 3x = 2x +4
x = 4
Therefore, the milk in the mixture is 4x3 = 12 litres and quantity of water = 4x2 = 8 liters
Answer: a)

2). Work done by A in one day = 1/5 and work done by B in one day = 1/7
They are working alternately.
Therefore, Work done in first two day = (1/5 + 1/7) =   12/35
Work done in first four day = 24/35
Work done in first 5 days     = 24/35 + 1/5 = 31/35
Remaining work =       4/35
Day it will take B to complete = 4/35/1/7 = 4/5 of the day.
Therefore Total days taken = 5 + 4/5 = 29/5 days
Answer: b)

3). Let the income be 3x and 2x. It is given that the saving of each is Rs. 2000.
Then, their expenditures are 3x – 2000 and 2x – 2000
Again,  (3x – 2000)/(2x – 2000) = 5/3
=> 3(3x – 2000) = 5(2x – 2000)
=> 9x – 6000    = 10x – 10000
=> 9x -10x        = -10000+ 6000
=>      -x = -4000
=>        x = 4000
Therefore, their salaries are 3 x 4000 = 12000 and 2 x 4000 = 8000
Answer: d)

4). Let the two numbers be 3x and 4x.
When they are increased by 9 they become 3x + 9 and 4x + 9.
It is given that the ratio is 18:23
Thus,   3x + 9/4x + 9 = 18:23
23(3x + 9)     = 18(4x + 9)
69x + 207     = 72x + 162
69x – 72x = 162- 207
-3x = -45
X = 15
Thus two numbers are 3x15 = 45 and 4 x 15 = 60
And the sum is 60+45 = 105
Answer: b)

5). Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b
Work done by 6 men and 8 women in 1 day = 1/10
=> 6m + 8b = 1/10
=> 60m + 80b = 1 --- (1)
Work done by 26 men and 48 women in 1 day = 1/2
=> 26m + 48b = ½
=> 52m + 96b = 1--- (2)
Solving equation 1 and equation 2, We get m = 1/100 and b = 1/200
Work done by 15 men and 20 women in 1 day
= 15/100 + 20/200 =1/4
=> Time taken by 15 men and 20 women in doing the work = 4 days
Answer: a)

6). Export of Diamond in March
= 8% of 40 = 3.2 billion
Now, Export of Diamond in April
= 8% of 33 = 2.64 billion
Number of times = 3.2/2.64 = 1.212 times
Answer: b)

7). Total export of Cotton in the given period = 35% of (40 + 33 + 34 + 32 + 38 + 39)
= 35% of 216 = 75.6 billion
Average export of Cotton
= 75.6/6 = 12.6 billions
Answer: d)

8). Export of Rice and Cotton in August
= 65% of 39 = 25.35 billion
Total export in the other three sectors
= 35% of 39 = 13.65 billion
Required per cent = 25.35/13.65 × 100
= 185.714 = 186%
Answer: c)

9). There is no data available for previous year, so we can’t find the solution.
Answer: d)

10). Export of Sugar in July = 14% of 38 = 5.32 billion
Now, export of Iron in April = 13% of 33 = 4.29 billion
% increase = (5.32 - 4.29)/4.29 × 100
= 1.03 × 100 / 4.29 = 24.009 = 24%.
Answer: b)

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