Must Solve DI for Bank/Insurance Exams (02 – 04 – 2018)

Mentor for Bank Exams

Must Solve DI for Bank/Insurance Exams (02 – 04 – 2018)
Directions (1 – 4): Study the following table chart carefully and answer the questions given beside.
The above mentioned table shows the time taken by the different pipes to fill the given tanks.
1. A and B working together can fill the tank X, if A is working with half of its efficiency while B is working with double of its efficiency. Find the time in which B can fill the tank X working individually?
a) 2 1/19 min
b) 2 2/19 min
c) 15 min
d) 2 5/19 min
e) None of these
2. What is the capacity of the tank X if B fills 380 litres in a minute and the time taken by B to fill the tank X is to be taken from the previous question?
a) 500lit
b) 600lit
c) 800lit
d) 860lit
e) None of these
3. New tank P which has capacity equivalent to tank X and tank Z together. Pipe C fills tank Z at the rate of 200 litres in a minute. Now if D fills tank P at the rate of 110 litres in a minute working individually, find the time required by D to fill the tank P. The data regarding the capacity of tank X is to be taken from the previous question.
a) 30min
b) 40min
c) 36min
d) 38min
e) None of these
4. If pipe A is opened for 3 minutes, pipe B is opened for 4 minutes, while pipe C fills the remaining part of tank Z in 9 minutes 54 seconds. Then how much time will B take to fill the tank Z working individually?
a) 10min
b) 20min
c) 15min
d) 30min
e) None of these
5. Four trucks are hired at the rate of Rs. 6/km plus the cost of diesel at Rs. 40/L. In this context, consider the details given in the following table.
Which truck maintained the maximum average speed?
a) Truck A
b) Truck B
c) Truck C
d) Truck D
e) None of these



Directions (6 – 10): Study the pie charts carefully and answer the questions given beside.
Below pie chart shows percentage breakup of production of men’s clothing items from various brands during 2017.
Note: All the given brands produce Jeans, Shirts, T-shirts and Trousers only.
Total production of men’s clothing items = 20 lakh
Below pie chart shows percentage breakup of production of Jeans during 2017.
Total Jeans produced = 4 lakh
6. If during 2016, NIKE produced 10% more Jeans compared to what it produced in 2017, and also the overall decrease in production of NIKE is 15%, then what is the total number of shirts produced by NIKE during 2016? Given that T-shirts produced are twice the number of Trousers and Shirts are 100% more than Trousers during 2016.
a) 143600
b) 141360
c) 134790
d) 142620
e) None of these
7. Number of Jeans produced from Levi’s is approximately what percentage of total men’s clothing items produced by Levi’s during the year?
a) 19%
b) 17%
c) 25%
d) 20%
e) None of these
8. If 40% of Men’s clothing items from POLO are Trousers and the remaining are T-shirts and Shirts which are in the ratio of 7:9 respectively, then what percentage of men’s clothing items produced by POLO are Shirts?
a) 12.25%
b) 15.5%
c) 11.25%
d) 15%
e) 10.75%
9. What is the average of differences (in thousands) between the number of total men’s clothing items of Arrow, Levi’s, Aeropostale and that of Vanheusen, Polo, Nike?
a) 110
b) 90
c) 80
d) 100
e) None of these
10. If the ratio of cost price to marked price of a Jeans from ARROW is 2:3, and a total of 60% of the produced Jeans from ARROW are sold. What is the total selling price of all Jeans sold from ARROW, if each is sold at a profit of Rs 1200 after giving a discount of 20%?
a) Rs. 1780 lakhs
b) Rs. 1620 lakhs
c) Rs. 1700 lakh
d) Rs. 1728 lakhs
e) Rs. 1500 lakhs
Solutions with Detailed Explanations:
1. B) We know that efficiency of a pipe is inverse of the time required to fill the tank.
Efficiency of A = 1/10
Let the time required by B to fill the tank X working individually be T
Efficiency of B = 1/T
Now, A working with half of its efficiency and B working with double its efficiency
=> 1/(2 * 10) + 2/T = 1
=> 2/T = 1 – 1/20
=> T = 40/19 = 2 2/19min
2. C) From the previous question's solution, B fills the tank in 2 2/19min = 40/19 min
Given that B fills 380 litres in one minute
Therefore, in 40/19min B fills = 380 * 40/19 = 800lit
Thus the capacity of tank X is 800 liters.
3. B) Capacity of tank X = 800 L  
Let the capacity of tank Z be R
C fills tank Z at 200 L in one minute, while C can fill the tank Z in 18 minutes
Therefore, the capacity of tank Z (R) = 200 × 18 = 3600 L
Capacity of new tank P = 3600 + 800 = 4400 L
Now, Rate of D filling the tank P = 110 L/min
Time required by D to fill tank P = 4400/110 = 40min
4. B) Pipe A fills tank Z in one minute = 1/12
Pipe B fills tank Z in one minute = 1/8
Pipe B fills tank Z in one minute = 1/18
ATQ, A is opened for 3 minutes, B for 4 minutes, C fills the remaining part of the tank in 9.9 minutes
3/12 + 4/B + 9.9/18 = 1
By solving the above equation, B fills the tank Z in 20 minutes
5. A) To find out the average speed using the available data for each truck from the table :-
We know that, Average Speed = Total distance covered/Total time taken = s (assume)
Let the Distance covered = d (in Km)
Time Taken = given for all trucks (in Hours)
We have the following relation for Total Payment (= P) in terms of the rate (= Rs. 6/ Km (given)), Mileage (= M) and the cost of diesel (= Rs. 40/L (given)) :-
Since, Total Payment = Cost contributed by the rate + Cost of Diesel for d Km at a mileage of M Km/L
P = (d * 6) + d/M * 40
Now, let us find the average speed for each of the trucks by substituting values from the table:-
Clearly, SA has the highest value.
(6 – 10): Common Explanation:
Based on above data we get following results:


6. B) Following common explanation we get :
Production of men’s clothing items during 2016 = 540000 * 85/100 = 459000
Production of jeans during 2016 = 96000 * 110/100 = 105600
Remaining men’s clothing items = (459000 – 105600) = 353400
Let number of Trousers produced be X.
Then,
Production of T-shirts = 2X and Shirts = 2X
So, (X + 2X + 2X) = 353400 => x = 353400/5 = 70680
Shirts produced = (2 × 70680) = 141360
7. A) Men’s clothing items produced by LEVI’S = 2000000 * 17/100 = 340000
No. of jeans produced from Levis = 400000 * 16/100 = 64000
Required percent = 64000/340000 * 100 = 18.82 ≈ 19%
8. C) Total men’s clothing items produced by POLO = 2000000 × 10/100 = 200000
Number of trousers produced by POLO = 200000 × 40/100 = 80000
Number of Jeans produced by POLO = 400000 × 20/100 = 80000
Remaining T-shirts and Shirts = (200000 – (80000 + 80000)) = 40000
Shirts produced = 40000 × 9/16 = 22500
Required percent = 22500/200000 * 100 = 11.25%
9. E) Total men’s clothing items from Arrow, Levi's and Aeropostale = (300 + 340 + 360) = 1000
Total men’s clothing item from Vanheusen, Polo and Nike = (260 + 200 + 540) = 1000
Required difference = (1000 – 1000)/3 = 0
10. D) Total jeans sold = 40000 * 60/100 = 24000
Let cost price be 2Y and Marked price be 3Y.
Selling price = 3Y × 80/100 = 2.4Y
Profit = (2.4Y – 2Y) = 1200
Y = 1200/0.4 = 3000
Selling price of one jeans = (2.4 × 3000) = 7200
Required revenue = (7200 × 24000) = 172800000 = Rs. 1728 lakhs