## 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 was the speed of the running train?
I. Length of the train was 120 m.
II. The train crossed the other train whose length was 180 m in 4 sec.

1. From statement I , Length of the train = 120 m
From statement II , Length of the other train = 180 m and time taken = 4 sec
Combining both the statements, we get

 The speed of train = Length of the first train + Length of the second train Km/h. Time taken

##### Correct Option: E

From statement I , Length of the train = 120 m
From statement II , Length of the other train = 180 m and time taken = 4 sec
Combining both the statements, we get

 The speed of train = Length of the first train + Length of the second train Km/h. Time taken

 The speed of train = 180 + 120 x 18 = 270 Km/h. 4 5

1. What is the difference between two numbers?
I. First number is 60 percent of the other number.
II. 50 percent of the sum of first and second numbers is 24.

1. On the basis of above given details in question ,
Let two numbers are a and b respectively .
From statement I , a = 60% of b,
From statement I , a = 60% of b,

 a = 60 x b . 100

 a = 6 b, . 10

⇒ 10a - 6b = 0

##### Correct Option: E

On the basis of above given details in question ,
Let two numbers are a and b respectively .
From statement I , a = 60% of b,

 a = 60 x b . 100

 a = 6 b, . 10

⇒ 10a - 6b = 0 ⇒ 5a - 3b = 0
From statement II , (a + b) x 50% = 24
a + b = 2 x 24 = 48
On solving both equations of a and b , we get a = 18 and b = 30
The difference between two numbers = 30 - 18 = 12

1. What is the ratio of the number of boys and girls in a school?
I. Number of boys is 40 more than the girls.
II. Number of girls is 80 percent of the number of boys.

1. On the basis of above given details in question , we can say
From statement I , B − G = 40

 From statement II , G = 80% of B = 4 B . 5

##### Correct Option: B

On the basis of above given details in question , we can say
From statement I , B − G = 40

 From statement II , G = 80% of B = 4 B . 5

B : G = 5 : 4
Hence , the ratio of the number of boys and girls in a school is 5 : 4 .
The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

1. What will be the cost of painting of the inner wall of a room if the rate of painting is \$ 20 per.m2?
I. Perimeter of the floor is 44 feet.
II. Height of the wall of the room is 12 feet.

1. As per the given above question ,
Given , The rate of painting = \$ 20 per m2
From statement I , Perimeter of the floor = 44 feet
⇒ 2( L + B ) = 44 ⇒ ( L + B ) = 44 / 2 = 22 feet
From statement II , Height of the wall of the room = 12 feet
From the statement I, we will get the sum of length and breadth

##### Correct Option: D

As per the given above question ,
Given , The rate of painting = \$ 20 per m2
From statement I , Perimeter of the floor = 44 feet
⇒ 2( L + B ) = 44 ⇒ ( L + B ) = 44 / 2 = 22 feet
From statement II , Height of the wall of the room = 12 feet
From the statement I, we will get the sum of length and breadth, but we need individual values of length and breadth.

1. How much minimum marks will be required to pass an examination?
I. Student A secured 32% marks in that examination and he failed by 1 mark. Student B secured 36% marks in the same examination and his marks were 1 more than the minimum pass marks.
II. Student A secured 30% of full marks in the examination and he failed by 2 marks. If he had secured 5 more marks his percentage of marks would have been 40%.

1. As per the given all details in above question , we can say
From statement I,
32% + 1 = 36% − 1 = Minimum pass marks
⇒ 36% - 32% = 1 + 1 ⇒ 4% = 2 ⇒ 2% = 1 marks
∴ Minimum pass marks = 16 + 1 = 17

##### Correct Option: C

As per the given all details in above question , we can say
From statement I,
32% + 1 = 36% − 1 = Minimum pass marks
⇒ 36% - 32% = 1 + 1 ⇒ 4% = 2 ⇒ 2% = 1 marks
∴ Minimum pass marks = 16 + 1 = 17
From statement II,
Minimum pass marks = 30% + 2 and
(40 − 30)% = 5 ∴ 30% = 15
∴ Minimum pass marks = 15 + 2 = 17
Hence, either A or B alone is sufficient.