## Data Sufficiency

#### Data Interpretation

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Read both the statements and give answer

1. What is the capacity of a cylindrical tank?
I. Radius of the base is half of its height, which is 28 m.
II. Area of the base is 616 m2. and height is 28 m.

1. According to question ,
From statement I ,
Radius of the base = height / 2 = 28 / 2 = 14 cm
From statement II ,
Area of the base = 616 m2 and height = 28 m.
We know the capacity of a cylindrical tank can be found out by using the following formula :
Area of the base of cylinder × height of cylinder
⇒ π r2 × h, where r = radius of cylinder , h = height of cylinder

##### Correct Option: C

According to question ,
From statement I ,
Radius of the base = height / 2 = 28 / 2 = 14 cm
From statement II ,
Area of the base = 616 m2 and height = 28 m.
We know the capacity of a cylindrical tank can be found out by using the following formula :
Area of the base of cylinder × height of cylinder
⇒ π r2 × h, where r = radius of cylinder , h = height of cylinder
Now, Statement I gives the value of r and h. Hence, statement I alone is sufficient. Again, statement II gives information about area of the base and height. Hence, statement II alone is also sufficient.

1. X, Y and Z are integers, is X an odd number?
I. An odd number is obtained when X is divided by 5.
II. (X + Y) is an odd number.

1. On the basis of above given question , we can say that
From statement I ,
Here X be the any number , then
According to question ,
X / 5 = Odd number
From statement II ,
we know that when any odd number and even number is added , we get always odd number .
⇒ (X + Y) is an odd number.
where X is odd number and Y is even number .

##### Correct Option: A

On the basis of above given question , we can say that
From statement I ,
Here X be the any number , then
According to question ,
X / 5 = Odd number
From statement II ,
we know that when any odd number and even number is added , we get always odd number .
⇒ (X + Y) is an odd number.
where X is odd number and Y is even number .
Statement I alone is sufficient to answer the question .We know that whenever any odd number is divided by any odd number, it gives an odd number.

1. The difference between the two digits of a number is 6. What is the number?
I. The digit at the units place is bigger than the other digit.
II. The sum of the two digits is 12.

1. Let, the digits be p and q. We are given p − q = 6 (Assume p > q)
From statement I : p occupies units place
From statement II : p + q = 12

##### Correct Option: E

Let, the digits be p and q. We are given p − q = 6 (Assume p > q)
From statement I : p occupies units place
From statement II : p + q = 12
With the help of information in the question part and in statement II, we can find the value of p and q easily because there are two equations to know about two unknowns. But to determine the number we need the help of statement I.

1. A train crosses another train running in the opposite direction in x seconds. What is the speed of the train?
I. Both the trains are running at the same speed.
II. The first train is y cm long.

1. As per the given above question ,
A train crosses another train running in the opposite direction in x seconds.
From statement I ,
Both the trains are running at the same speed. i.e. S1 = S2
From statement II ,
Length of the first train = y cm
The length of the other train is not given in any of the statements.

##### Correct Option: D

As per the given above question ,
A train crosses another train running in the opposite direction in x seconds.
From statement I ,
Both the trains are running at the same speed. i.e. S1 = S2
From statement II ,
Length of the first train = y cm
The length of the other train is not given in any of the statements.
If the data even in both statements I and II together are not sufficient to answer the question.

1. By selling a product for \$ 100 how much profit was earned?
I. 20% profit would have been earned if it had been sold \$ 90.
II. The profit was one-third of the purchase price.

1. Let k be the Cost Price ( CP ) of a product .
From statement I ,

 Cost Price = 90 x 100 = \$ 75 120

Profit = 100 − 75 = \$ 25
From statement II ,
Selling Price = Cost Price + Profit

##### Correct Option: C

Let k be the Cost Price ( CP ) of a product .
From statement I ,

 Cost Price = 90 x 100 = \$ 75 120

Profit = 100 − 75 = \$ 25
From statement II ,
Selling Price = Cost Price + Profit
 ⇒ k + k = 100 ⇒ k = 100 x 3 = 75 3 4

∴ Profit = 75 / 3 = \$ 25
Therefore, either statement I or II alone is sufficient to answer the question.