Quantitative Aptitude Data Interpretation for LIC AAO and Download PDF for Free at Smartkeeda

Directions : Study the following table chart carefully and answer the questions given beside.
 
The following table shows the variable time taken by different pipes to fill different tanks of various capacities. 

  Tank A Tank B Tank C
Pipe 1 2.5 hrs ‘x’ hrs 15 hrs
Pipe 2 3.0 hrs 9 hrs 18 hrs
Pipe 3 4.5 hrs ‘z’ hrs ‘y’ hrs

1
A time of ‘z’ hrs was taken by a man to drive his car from his home to office. Whereas, he drove back at a speed of 49km/hr for ‘x’ hrs. Find the approximate speed of car during his drive from home to office?
» Explain it
C
For z, using proportions, for same flow rate in both tanks A & B for either pipe 2 & 3,

z  =  4.5
9 3

or, z = 4.5 × 3 = 13.5 hrs

For x, using proportions, for same flow rate in both tanks B & C for either pipe 1 & 2 ,
 
x  =  15
9 18

or, x =  15  = 7.5 hrs
2

Then, let speed during home to office travel be ‘q’ km/hr.

Distance from home to office = (q km/hr) (z hrs) = (q km/hr) (13.5 hrs) = 13.5q km

Distance from office to home = (49 km/hr) (x hrs) = (49 km/hr) (7.5 hrs) = 367.5 km

Equating distances, we have,

Distance from home to office = Distance from office to home

13.5q = 367.5
 
q =  49 × 7.5  = 27 km/hr (approximately)
13.5

Hence, option C is correct.
2
While filling with pipe 3, a hole was drilled in tank A so that a leakage drained some water at the rate of 15m3/hr. Now, if the tank was full in 5.4 hrs , then the rate of flow of in-let water is
» Explain it
B
Let the rate of flow of in-let water be ‘P’ m3/hr. 
 
Original time required for Tank A to fill by pipe 3 = 4.5hrs 
 
Then, capacity of tank = (flow rate) x (time taken to fill) = 4.5 × P = (4.5P)m3 
 
Also, 
 
Effective rate of flow of water = (P – 15) m3/hr 
 
Time required with leakage = 5.4 hrs 
 
Capacity of tank = (flow rate) x (time taken to fill) = (P – 15) (5.4 hrs) 
 
Equating the capacity of tank, 
 
(4.5P) = (P – 15) (5.4) 
 
(5.4 – 4.5) P= 5.4 × 15 
 
P =  5.4 × 15  = 6 × 15 = 90 m3/hr
0.9

Hence, option B is correct.
3
A man claimed the stats for the Pipe 2- filling the tank B to be incorrect. According to him, the time recorded was 17% more than the actual time. Then, the difference in the fraction value of the new y/z and old x/y is
» Explain it
D
Time recorded for filling Tank B with pipe 2 = 9hrs

If this is 17% more than actual time (say, t hrs),

Then, t + (17% of t) = 9

1.16 t = 9

or, t =  9  =  900  =  100  hrs
1.17 117 13

In table, 9hrs is replaced by (100/13)hrs.

For x, using proportions, for same flow rate in both tanks B & C for either pipe 1 & 2 ,
 
x  =  15
9 18

or, x =  15  = 7.5hrs .......(i)
2

For y(remaining unaltered), using proportions, for same flow rate in both tanks A & C for either pipe 1 & 3,
y  =  4.5
15 2.5

or, y =  15 × 45  = 27hrs …(ii)
25

For ‘NEW’ z, using proportions, for same flow rate in both tanks A & B for either pipe 2 & 3,
z  =  4.5
100/13 3

or, z = 1.5 ×  100  =  150  hrs....(iii)
13 13

Then, (new y/z) – (old x/y) =  27  –  7.5
150/13 27

117  –  5  =  (117 × 9) – (5 × 25)
50 18 450

1053 – 125  =  928  =  464
450 450 225

Hence, option D is correct.
4
If Pipe 2 was used to fill cylindrical Tanks B & C of same heights, such that the ratio of water flow-rate used was 9:2. Then the ratio of the area of base of the two tanks is
» Explain it
A
Let the common factor be x. Then, water flow rate in tank B & C is 9x & 2x respectively.

Time required to fill tank B & C with pipe 2 = 9 hrs & 18 hrs respectively.

Then, Volume of Tank B = (water flow rate) (time) = (9x) (9hrs) = 81x

And, Volume of Tank C = (water flow rate) (time) = (2x) (18hrs) = 36x

So,  Volume of Tank B  =  81x  =  9
Volume of Tank C 36x 4

Or,  πrB2h  =  rB2  =  9
πrC2h rC2 4

Ratio of area of base of tank b to tank C = πrB2 : πrC2 = rB2 : rC2 = 9 : 4

Hence, option A is correct.

Data Interpretation Quiz with Explanation from Quantitative Aptitude Section for LIC AAO and Download PDF

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Data Interpretation is calculation-intensive. It consists of a myriad of graphs, charts and tables form which you have to glean and analyse data. The key to cracking this area is to quickly identify the key pieces of data that you require to work on the questions asked.
 
Problems in Data interpretation are probably the closest in resemblance to the kind of problems you will be dealing with as a manager. They test your decision-making ability and speed using the minimum possible data. They help you to draw conclusions from collected data, support decision making, and contribute to better process, product, and quality models.
 
Data Sufficiency problems involve testing your quantitative concepts. They usually take the form of a logical puzzle. Instead of solving a data sufficiency problem, all you need to do is determine if the given information is enough to solve the problem. To solve Data Interpretation Questions & Answers for Banking and Insurance Exams like SBI, IBPS, NABARD & RBI Grade B, NIACL, and LIC, you need to brush up your calculation skills; you need to perform calculations faster and accurately than others. The difficult Data interpretations should be solved within 10-12 minutes. The DI of moderate level should not consume more than 7-9 minutes of the time and easy DI's should be finished within 3.5-4 minutes.
 
In these Data Interpretation Quizzes, you familiarized yourself with the key concepts and improved your problem-solving abilities. At Smartkeeda you will get Easy level data interpretation to High level data interpretation at low cost. Practice and tests are important to optimize your preparation. First take the quizzes regarding your exams and take full mock test at Testzone to improve your problem-solving skills. Questions that have appeared in the previous IBPS PO exams are also a part of these quizzes. Go through them you can understand where the focus lies in an examination environment. The detailed solutions of the questions may provide some alternate strategies that can help you improve your speed and accuracy.
 
 
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