Quantitative Aptitude PYQs

Q91. A boat whose speed is same as speed of a car i.e. x km/hr can travel d km upstream and return to the initial point in 8 ⅓ hours. While, the time taken by car to cover total distance travelled by the boat is ⅓ hour less than that by boat. If the time taken by the boat to cover 18 km downstream is 30 minutes more than to cover 6 km upstream and speed of stream is y km/hr, then which of the option is equal to the time taken by the boat to cover (2d+90) km in still water. (i) d / (x-y) + 3y (ii) d / (x-y) - 3y (iii) (180 / (x+y)) + 4

Q92. The ratio of cost price and marked price of an article is A:B. The ratio of selling price and marked price is (B + 1) : (B + 2). If discount offered on the article is Rs.30, then, its selling price becomes Rs.120 (A & B are natural number and A<B). Which of the following is / are correct? (i) B is a prime number. (ii) Maximum profit can be Rs.70. (iii) Cost price can be Rs.150.

Q93. X liter of mixture of milk and water contains 25% of water. Which of the following option (s) is /are true. (i) If X/4 liter of water added to the mixture, then water becomes 60% less of the total mixture. (ii) If 9X/20 liter milk is removed from the mixture, then the ratio of milk and water is 6:7. (iii) 25% of mixture taken out the then difference between quantity of milk and initial quantity of water in the mixture is 5X/16 liter.

Q94. The roots of x²/3 − (11m)x + 90 = 0 is p & q, where roots are natural number. The sum of square of both the roots is 549. Which of the following is/are true? (i) m = 1 (ii) Roots are 18 and 12. (iii) difference of roots is 3.

Q95. Rs. (2000+x) is invested at 10% CI for two years. The interest received is Rs.525. The interest received on ‘m’ times the amount x is invested again in compound interest at 20% interest rate for same time period is (y+1) times Rs.880. which of the following option (s) is/are incorrect? (i) m = 4(y+1) (ii) x = Rs.500 (iii) x = Rs.1500

Q96. The volume of a cube is 2744 cm³. A circle whose diameter is same as the side of the cube drawn on each face of the cube. The cost of painting the circular part with red and remaining part with blue at the cost of Rs.x per m² and Rs.(x – 5) per m². If the total cost of painting is Rs.6972, then find the value of x.

Q97. AB is a two-digit number where A is on tenth place and B is on unit place. The product of A and B is zero. Unit digits of A³, A², A are same, where A is unit digit of given number. Which of the option is nearest to possible values of the two - digit number.

Q98. Which of the following statement/s is or are required to find the total profit earned in the business at the end of the year. Statement 1: A and B entered in a partnership by investing Rs. (X+1000) and Rs. (Y+1000) respectively. C joined them after 3 months with some investment Rs. Z. Statement 2: At the end of the year the profit share of C is Rs.12000. Statement 3: The difference between profit share of A and B after one year is Rs.1500.

Q99. Which of the following statement/s is or are required to find the ratio of age of A after 6 years and age of B two years ago. Statement 1: The sum of present ages of A and B is 78 years. Statement 2: B is 34 years older than A and 12 years older than C. Statement 3: Ratio of present ages of A and C is 1:2.

Q100. If one root of equation x² +Px +84 =0 is – 21, then the value of P is how much more than another root of the given equation.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q101. Find the number of students who like only one sport.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q102. Find the difference between number of students who like only one sport and who like all the sports together.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q103. The students who like only two sports together, one-third are girls. Find the number of boy students who like only two sports together.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q104. Find the value of Y.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q105. The number of students who like all the three sports together are what percentage less than the total number of students in the school.

Directions (101-106): Read the information and answer the following questions. There are total Y students (boys + girls) in a school. Each student like at least one sport out of three sports (A, B & C). The number of students who like all the three sports is 114. 16% of the total students like A and B but not C. 13% of the total students like B and C but not A. 4% of the total students like A and C but not B. The ratio of number of students who like only A, only B and only C is 2: 3: 1 respectively. Total number of students who like at least two sports are 312. Q106. Find the ratio of girls to boys in the school.

Direction (107–109): Solve the series and answer the following questions given below. Series 1: 87 B (2a+15) (30² + 6) (103 + Z) 1076 1101 Series 2: (a+58) 492 529 Y 639 712 749 Note – B = 87 + a Q107. Find the value of a.

Direction (107–109): Solve the series and answer the following questions given below. Series 1: 87 B (2a+15) (30² + 6) (103 + Z) 1076 1101 Series 2: (a+58) 492 529 Y 639 712 749 Note – B = 87 + a Q108. Find the value of Z.

Direction (107–109): Solve the series and answer the following questions given below. Series 1: 87 B (2a+15) (30² + 6) (103 + Z) 1076 1101 Series 2: (a+58) 492 529 Y 639 712 749 Note – B = 87 + a Q109. Find the value of B.

Q110. If x and y are the terms of series 1, then find the sum of x and y. Series 1 – 6, 9, 14, 21, x, 45, y