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Directions: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:
1
A person can purchase three articles in Rs. 49. What is the price of costliest article?
 
Statement I : The cost price of two articles each is Rs. 1 less than the cost price of costliest article. 

Statement II : The cost price of two articles is same.
 
Statement III:  The cost price of costliest article is 6.25% more than the cost price of cheapest article.
» Explain it
A
From the Statement I
 
Let the CP of each of two cheapest articles = x and the CP of costliest article = x + 1 
 
Then, x + x + x + 1 = 49, 
 
x = 16 therefore the CP of costliest article = 16 + 1 = 17 
 
From the Statement II, we can say that the cost price of two articles is same and from Statement III, we can say that the cost price of costliest article is 6.25% more than the cost price of cheapest article therefore by combining both the statement we can also get our answer. 

Hence, option A is correct.
2
Shatabdi Express leaves Patna at 8:00 am for Delhi. At what time will it reach Delhi?
 
Statement I : For the first 100 km it travels at the speed of 250 km per hour and maintains the same speed during the entire journey.
 
Statement II : It has 5 stoppages in between Delhi and Patna.
 
Statement III : Before every stoppages, it covers a same distance of 240 km 
» Explain it
E
From the Statement I we can conclude the speed of the train and by combining Statement II and Statement III, we can conclude the distance between Delhi and Patna. But we cannot conclude how long it has stopped at each stoppage because the speed we concluded from the statement I is the speed of the train not the average speed of the entire journey.  

Hence, option E is correct.
3
What is the sum of the age of Ram and Mohan?
 
Statement I : The age of Ram is 6 years more than the age of Mohan. 
 
Statement II : 40% of the age of Mohan is equal to 30% of the age of Ram.
 
Statement III : The ratio between half of the age of Ram and one third of the age of Mohan is 2 : 1. 
» Explain it
C
By combining Statement I and Statement II we can conclude the age of Ram and the age of Mohan . So we can find the sum as well.

Statement II and Statement III indirectly mean the same.

So by combining  Statement I and statement III we can get our answer as well. 

So either Statement I and II together or Statement I and III together are sufficient.

Hence, option C is correct.
4
In a kilometre race, by how many meters Chandu beats Chand?
 
Statement I : In a kilometer race, Chandu beats Chandan by 100 meters. 
 
Statement II : The respective ratio of the speed of Chandan and Chand is 4: 3.
 
Statement III : In a kilometer race, Chandan beats Chand by 150 meters.
» Explain it
C
By combining statement I, and III we can conclude our answer as 250 meters 
 
In the statement II, only ratio of speed is given therefore it is not possible to get our answer only with the help of statement II .

By combining Statement I and II also we can find the answer as the ratio between two people is given and in statement I the distance between the winner and loser is given so we can find the required distance as well.

So Statement I and III together or Statement I and II together are sufficient

Hence, option C is correct.
5
A metal block of density ‘D’ and mass ‘M’, in the form of a cuboid, is beaten into a thin square sheet of thickness ‘t’, and rolled to form a cylinder of the same thickness. Find the inner radius of the cylinder– 
 
Statement I : Cuboid has dimensions 10cm x 5 cm x 12 cm 
 
Statement II : Thickness ‘t’ = 1.5cm 
 
Statement III : Mass of block, M = 216kg
» Explain it
C
If we have the dimensions, from Statement a,

Volume of cuboid = 10 × 5 × 12 = 600cm3

If thickness is ‘t’ and let side of square sheet be S, then,

600 = (S2) x (t)

If t = 1.5cm is taken from Statement II,

600  = (S2) = 400
1.5

S = 20cm

Height of cylinder = S = 20cm [As square sheet is rolled so the side of the cylinder will be equal to side of square]

Outer circumference = S = 20 cm = 2πr
 
Or, r =  10  ≈ 3.185
π

Thickness taken, t = 1.5cm

So inner radius = 3.185 – 1.5 = 1.685 cm

Whereas Statement III has no significance anywhere.

But none of the statement alone can answer the question individually.

Hence, answer is using statement I and II together is sufficient

Hence, option C is correct.

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Folks, Data Sufficiency is frequently asked topic in bank po and bank clerk exams, so every aspirant must be aware with it.Aspirants can easily score high by just practicing some important data sufficieny question. At Smartkeeda you will find data sufficieny questions in the form of quizzes and pdf form too.
So you can practice in both modes online and offline.
 
Here are some examples of data sufficiency for sbi po 2019
 
Q.1. What is the area of a right-angled triangle ABC, right angled at A?
 
Statement I : The cir-cum radius of the triangle is 6 cm.
 
Statement II : Angle ABC = 60 degrees
A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question
 
Q.2. After 5 years, what will the sum of the age of Moni and Soni?
Statement I : 5 years before, Moni was 5 years older than Soni.
Statement II : At present, the ratio of their ages is 5 : 6.
A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
 
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