# Quantitative Aptitude: Data Sufficiency Questions Set 9

Directions: **In each of the following questions, a question is followed by two or three statement. Read all the statements and find that which statements are required to answer the question and answer accordingly.**** **

- How much time will Train P take to cross Train Q (from the moment they meet) running in opposite directions (towards each other) ?

**statement I:**The respective ratio of speeds of Train P and Train Q is 3 : 4. The sum of the lengths of Train P and Train Q is 700 metre.

**statement II:**Train P can cross a signal pole in 12 seconds. It can cross 600 metre long station in 25 seconds.

A) Only I

B) Both I and II

C) Only II

D) Either I or II

E) Neither I nor II

- What is the area the isosceles triangle A ?

**statement I:**The length of the side opposite the single largest angle in the triangle is 8cm.

**statement II:**The perimeter of triangle X is 20cm.

A) Only II

B) Only I

C) Neither I nor II

D) Both I and II

E) Either I or II

- What is the ratio between the two numbers a and b ?

**statement I:**50% of a is 25% of 80.

**statement II:**20% of b is 10% of 100.

A) Both I and II

B) Only I

C)Only II

D) Either I or II

E) Neither I nor II

- What is the age of R, in a group of P,Q, R,S and T whose average age is 45 years?

**statement I:**Average of the age of S and T is 47 years?

**statement II:**Average of the age of P and Q is 53 years?

A) Only II

B) Only I

C) Both I and II

D) Neither I nor II

E) Either I or II

- How many people are there in the aeroplane ?

**statement I:**There are 45 females in the aeroplane.

**statement II:**30% of passengers are males and 10% are children.

A) Either I or II

B) Only II

C) Only I

D) Neither I nor II

E) Both I and II

**statement I:**Difference between the present ages of the Pooja and Rohit is 22 years.

**statement II:**The present age of Pooja is 4 years less than thrice the present age of Rohit.

**statement III:**Difference between the present ages of the Rina and Rohit is 26 years.

A) Only III

B) Either I and II together or III alone.

C) All are together

D) Only I and II

E) None of the statements

- What are the marks obtained by Sushil in Physics?

**statement I:**Marks obtained in Biology is as much more than that in Chemistry as the marks obtained in Chemistry is more than that in Physics.

**statement II:**The average marks obtained by Sushil in Physics, Biology and Chemistry are 65.

**statement III:**Marks obtained by Sushil in Biology is 6 more than that obtained in Physics.

A) None of these

B) Only I and II

C) All statements together

D) Only II and III

E) Only I

- What is the area of the hall?

**statement I:**Total cost of flooring the hall is Rs. 14,500.

**statement II:**Labour cost of flooring the hall is Rs. 3000.

**statement III:**Material cost of flooring per sq. metre is Rs. 150.

A) All statements together

B) Only II and III

C)Only I and II

D) None of these

E) Only III

- A,B,C,D and E are five friends. Their mean age is 18. What is the age of C ?

**Statement I :**A’s age is 18

**Statement II :**B’s age is 2 years less than E and E’s age is 6 years less than D.

**Statement III :**C’s age is 6 years more than B’s age and 4 years more than E’s age.

A) Only III

B) Neither I and II nor III

C) Only I and III

D) All statements together

E) Either I and III or II alone

- What is the area of the right angled triangle ?

**statement I:**The perimeter of the triangle is 5 times of the base.

**statement II:**The one of the angles of the triangle is 60deg.

**statement III:**The length of hypotenuse is 4 cm.

A) Neither I and III nor II

B) Either I and II or III

C) All statements together

D) Only II and III

E) Only I and III