SBI PO Prelims 2017: Quantitative Aptitude Quiz – Set 14 | Caselet DI & Word Problems

Hello and welcome to exampundit. Here is a set of Caselet DI and Word Problems (easy ones) for SBI PO Prelims 2017.

Directions(Q.1-5): In a
recently held survey there were 7500 persons in an area. Out of those, 2500
opted for company X’s mango juice, 1850 opted for company Y’s mango juice and
950 opted only for company Z’s mango juice. The number of persons opting for
all the companies is 1000. The number of persons opting for Company X and
company Z is 250. The number of people opting 
only for Company Y and Z is 200 and the number of people opting only for
company X and Y is 150.
1. How many persons opted for at least two
(e)none of these
2. Number of people who opted for company
X’s mango juice is?
(e)none of these
3. How many people have opted for only one
company’s mango juice?
(e)none of these
4. How many persons did not participate in
the survey?
(e)none of these
5. The number of persons opting only for
company X’s mango juice Is what percent of total number of person’s opting for
only company Y’s and company Z’s mango juice?
(e)none of these
6. Narmada is standing on a railway bridge which is 180 m long. She finds
that a train crosses the bridge in 20 seconds but herself in 8 seconds. Find
the speed of the train?

7. Sujoy Chakarborty undertakes to supply 2000
pieces of a particular component at Rs.25 per piece. According to his
estimates, even if 5% fail to pass the quality tests, then he will make a
profit of 25%. However as it turned out, 50% of the components were rejected.
What is the loss to the Sujoy?
8. Gaurav invested certain amount in three
different schemes P, Q and R with the rate of interest 10% p.a., 12% p.a. and
15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and
the amount invested in Scheme R was 150% of the amount invested in Scheme P and
240% of the amount invested in Scheme Q, what was the amount invested in Scheme
9. The sum of ages of family members (both
children and parents) is 360 years. The total ages of children and parents are
in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7.What
will be the age of husband?
(e)none of
10. The average price of 10 books is Rs. 12 while
the average price of 8 of these books is Rs. 11.75. Of the remaining two books,
if the price of one book is 60% more than the price of the other, what is the
price of each of these two books?
(a)Rs.16 and Rs.20
(b)Rs.22 and Rs.14
(c)Rs.12 and Rs.22
(d)Rs.10 and Rs.20
(e)Rs.10 and Rs.16


 Let the length of the train be x metres.
Then, the train covers x metres in 8 seconds
(train is actually covering itself because length of man is very less
comparable to train)and (x + 180) metres in 20 seconds.
equate speed in both cases=d/t
∴ x/8 =( x + 180) / 20 ⇔ 20x =
8(x + 180) ⇔ x = 120.
∴ Length of the train = 120 m.
Speed of the train = [120/8]m/sec (convert to
km/hr. i.e. x 18/5)
=[120/8] x 18/5kmph = 54 kmph
5% of 2000=100
so 2000-100=1900
so, if he sells
1900 he will get 25% profit
cost per piece Rs 25……so 25x 1900
if 125%…………………..25×1900
100 %………………….?
?= 25x1900x100/125=38000=CP
if 50% rejected, only 1000 pieces sold
so 1000×25=25000=SP
loss=cp-sp= 38000-25000=13000
Let x, y and z
be the amounts invested in schemes P, Q and R respectively.
add individual interest to get total using SI=
[x * 10 * 1]/100 + [y x 12 x 1]/100 + [z x 15 x
1]/100 = 3200
10x + 12y + 15z = 320000…………..1
Now, z = 240%
of y =(12/5)y……… 2
And, z = 150%
of x =(3/2)x so, x=(2/3 )z = (2/3) x value of z from 2
x= (2/3) x (12/5) y = (8/5)y………..3
From (1), (2) and (3), we have :
16y + 12y + 36y = 320000
y = 5000
sum of ages is
360 years.
The ratio of
children and parents ages is 2:1.
Total age of parents = 360 x 1 / 3 = 120 years
Ratio of wife and husband age is 5:7.
Therefore, the
age of husband = 120 x 7 / 12 = 70

Total price of
the two books = Rs. [(12 x 10) – (11.75 x 8)] = Rs. (120 – 94) = Rs. 26
Let the price of one book be Rs.x
Then, the price of other book = Rs. (x + 60% of
x )= x + (3/5)x= (8/5)x
so, x +(8/5)x=26 , x=10
The prices of the two books hence are Rs. 10 and
Rs. 16


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