Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the number of students who went to the museum by car. If the ratio of students traveled by three different modes i.e. bus, train and car is 5 ∶ 14 ∶ 8 I. Number of male students who went to the museum is 45 more than the number of female students who went to the museum. All the female went to the museum by train only and 30 males went by train. II. Total males who went to museum by bus and car is 195.  ?

Option 5 : If the data in both statements I and II together are needed to answer the question.

Let the number of students who went to meseum by bus, train and car be 5x, 14x and 8x

Using statement I

Let the total number of female students be y

Then, total number of male students = y + 45

All the female went to the museum by train only and 30 males went by train

∴ Number of students who went to the mesuem by train = y + 30

Statement I alone is not sufficient to answer the question

Using statement II

Total number of males who went to the museum by bus and car is 195.  

Statement II alone is not sufficient to answer the question

Using statement I and statement II together

Total number of male students = y + 45

30 male students travelled by train 

∴ Number of male students who travelled by bus and car

⇒ y + 45 – 30 = 195

⇒ y = 180 

∴ Number of students who went to the mesuem by train = y + 30 = 180 + 30 = 210

⇒ 14x = 210 

⇒ x = 15

∴ Number of students who went to museum by car = 8x = 8 × 15 = 120

∴ The data in both statements I and II together are needed to answer the question.