Quantitative Aptitude PYQs

Directions (111-114): The following questions are accompanied by three statements i.e. statement (I), statement

(II) and statement (III). You have to determine which statement (s) is/are sufficient/necessary to answer the questions.

Q111. P, Q and R entered into a partnership. After ten months, P and Q left the business. Find the total profit at the end of year.
Statement

I. The profit share of P & R together is 55% more than that of Q.
Statement

II. Annual profit of R is Rs. 450 less than that of P and annual profit of Q is 80% of R.
Statement

III. Total amount invested by R & Q are in the ratio of 5:4 respectively.

Directions (111-114): The following questions are accompanied by three statements i.e. statement (I), statement

(II) and statement (III). You have to determine which statement (s) is/are sufficient/necessary to answer the questions.

Q112. Find the downstream speed of boat.
Statement

I. Difference between downstream speed of boat and speed of the boat in still water is 12 km/hr.
Statement

II. Ratio of upstream speed of boat to speed of boat in still water is 4:7 respectively.
Statement

III. The sum of time taken by the boat to cover 280 km in downstream and upstream is 24.5 hours.

Directions (111-114): The following questions are accompanied by three statements i.e. statement (I), statement

(II) and statement (III). You have to determine which statement (s) is/are sufficient/necessary to answer the questions.

Q113. Two train A and B running in same direction and cross each other in 32X seconds. Find the value of X.
Statement

I. Train B crosses a 140 meters bridge in 22.4 seconds.
Statement

II. Train A can cross a tree in 19 seconds.
Statement

III. Length of train A is equal to length of train B.

Directions (111-114): The following questions are accompanied by three statements i.e. statement (I), statement

(II) and statement (III). You have to determine which statement (s) is/are sufficient/necessary to answer the questions.

Q114. Find the difference between age of Z five years hence to age of X seven years ago.
Statement

I. Age of Z eight years hence will be eight years less than the average age of X & Y.
Statement

II. Twelve years hence, the age of Y will be 52 years. Ratio of present age of X to Y is 3:5 respectively.
Statement

III. The age of X of 50% more than that of Z.

Directions (115-119): Read the following passage carefully and answer the questions given below.
In a society, people like three different types of cars i.e. A, B & C. Ratio of people who like car A to car C is 29 :42 and people who like only car A&C together is one fourth of the people who like only car B. People who like only car C is 50 more than four times of the people who like only car A & B together. 10 people like all the three types of cars which is equal to people who like only car B&C together. People who like only car C is twice of the people who like only car A and people who like car C is 210. All people like either of the car.

Q115. Find the ratio of people who like only car C to people who like car B.

Directions (115-119): Read the following passage carefully and answer the questions given below.
In a society, people like three different types of cars i.e. A, B & C. Ratio of people who like car A to car C is 29 :42 and people who like only car A&C together is one fourth of the people who like only car B. People who like only car C is 50 more than four times of the people who like only car A & B together. 10 people like all the three types of cars which is equal to people who like only car B&C together. People who like only car C is twice of the people who like only car A and people who like car C is 210. All people like either of the car.

Q116. People like only car A&C together is what percentage people like at least two cars?

Directions (115-119): Read the following passage carefully and answer the questions given below.
In a society, people like three different types of cars i.e. A, B & C. Ratio of people who like car A to car C is 29 :42 and people who like only car A&C together is one fourth of the people who like only car B. People who like only car C is 50 more than four times of the people who like only car A & B together. 10 people like all the three types of cars which is equal to people who like only car B&C together. People who like only car C is twice of the people who like only car A and people who like car C is 210. All people like either of the car.

Q117. Ratio of males to females who like only car A is 11:6 respectively. Find the people who like only car B&C together is how much more/less than males who like only car A?

Directions (115-119): Read the following passage carefully and answer the questions given below.
In a society, people like three different types of cars i.e. A, B & C. Ratio of people who like car A to car C is 29 :42 and people who like only car A&C together is one fourth of the people who like only car B. People who like only car C is 50 more than four times of the people who like only car A & B together. 10 people like all the three types of cars which is equal to people who like only car B&C together. People who like only car C is twice of the people who like only car A and people who like car C is 210. All people like either of the car.

Q118. If 550 people living in the society, then find the people who do not like any of the three cars.

Directions (115-119): Read the following passage carefully and answer the questions given below.
In a society, people like three different types of cars i.e. A, B & C. Ratio of people who like car A to car C is 29 :42 and people who like only car A&C together is one fourth of the people who like only car B. People who like only car C is 50 more than four times of the people who like only car A & B together. 10 people like all the three types of cars which is equal to people who like only car B&C together. People who like only car C is twice of the people who like only car A and people who like car C is 210. All people like either of the car.

Q119. People who like only car A and only car B together is how much percentage more/less than sum of the people who like only car A&B together and people who like only car C?

Q120. Length of train A is 60 meters less than train B and they cross a pole in 24 secs & 108/7 secs respectively. If speed of train B is 126 km/hr and length of a bridge is 5/9^th of length of train B, then find the time taken by train A to cross the bridge.

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 61. What is ratio of total number of male and female doctors together in college B to that in college C?

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 62. What is total number of male and female engineers in colleges A, B and C together?

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 63. In another college D, total number of females is 640 out of which 25% are doctors and number of male doctors in college is 12.5% more than that in college C . What is the total number of doctors in college D?

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 64. Average number of female doctors in colleges A, B and C is

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 65. Female doctors and engineers in college C is approximately what percent less than total male doctors and engineers in college A?

Direction (61 – 66) : Study the given information carefully and answer the following questions:
Data regarding the number of Doctors(D) and Engineers(E) in three colleges - A, B and C is given.
College A: Ratio of male doctors and male engineers is 12 : 5 and the difference between them is 280. Total number of female doctors and female engineers is 300. Number of male engineers is 30 more than that of the number of female engineers.
College B: Sum of the number of male doctors and male engineers is equal to the sum of the number of female doctors and female engineers in college A. Ratio of the male doctors and male engineers together and female doctors and female engineers together is 6 : 7. Ratio of female doctors and female engineers is 2 : 3. Number of male doctors in college B is 1/3^rd of the number of male engineers in college C.
College C: Male engineers is 1.5 times the number of female doctors. Sum of the number of female doctors and female engineers is 550. Number of female engineers is 70 more than the number of female doctors. Total number of male doctors and male engineers is 760. 66. Find the difference between male engineers in college B and female engineers in the same college.

67. A number when multiplied by 7 gives another number which is as much above 260 as the original number itself is below 260 . What is 32% of the original number?

68. Cost price of B is Rs 180 more than the Cost price of A. A is sold at profit of 20% and B is sold at loss of 40%. Ratio of selling price of A and B is 5:4. What is the cost price of A?

69. Ratio of present ages of A and B is 6:5. After 10 years, the ratio of their ages will be 7:6. Find the difference in their present ages?

70. Ratio of heights of right circular cylinders A and B is 1:2. Ratio of curved surface areas of right circular cylinders A and B is 2:3. Find the ratio of radii of right circular cylinders A and B?