*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

companies

companies

(a)800

(b)1000

(c)1600

(d)1850

(e)none of these

2. Number of people who opted for company

X’s mango juice is?

X’s mango juice is?

(a)3900

(b)3500

(c)2500

(d)1450

(e)none of these

3. How many people have opted for only one

company’s mango juice?

company’s mango juice?

(a)4725

(b)5000

(c)5300

(d)5500

(e)none of these

4. How many persons did not participate in

the survey?

the survey?

(a)600

(b)800

(c)900

(d)1000

(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?

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?

(a)92%

(b)85%

(c)89.28%

(d)84.14%

(e)none of these

6.

(a)31kmph

**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?that a train crosses the bridge in 20 seconds but herself in 8 seconds. Find

the speed of the train?

(a)31kmph

(b)54kmph

(c)46kmph

(d)37kmph

(e)40kmph

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?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?

(a)11000/-

(b)11500/-

(c)12000/-

(d)12500/-

(e)13000/-

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

Q?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

Q?

**(a)10,000/-**

**(b)7500/-**

**(c)50000/-**

**(d)5000/-**

**(e)7590/-**

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?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?

(a)70years

(b)72years

(c)68years

(d)66years

(e)none of

these

these

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?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**

Answers:

1.c

2.a

3.c

4.a

5.c

6.b

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

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

7.e

5% of 2000=100

so 2000-100=1900

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

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

8.d

Let x, y and z

be the amounts invested in schemes P, Q and R respectively.

be the amounts invested in schemes P, Q and R respectively.

Then,

add individual interest to get total using SI=

p*r*t/100

[x * 10 * 1]/100 + [y x 12 x 1]/100 + [z x 15 x

1]/100 = 3200

10x + 12y + 15z = 320000…………..1

add individual interest to get total using SI=

p*r*t/100

[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

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

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

9.a

sum of ages is

360 years.

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.

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

age of husband = 120 x 7 / 12 = 70

10.e

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

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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**ep**

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