Quantitative Aptitude Quiz For IBPS Clerk Main
Q1. One letter is taken out at random from ‘ASSISTANT’ and another is taken out from “STATISTICS”. What is the probability that they are of the same letters?
(e)None of these
Q2. If a 4-digit number is formed at random using the digits 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is
(e)None of the above
Q3. A pipe can fill a cistern in 12 min and another pipe can fill it in 15 mins. but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:
(a) 38 minutes
(b) 22 minutes
(c) 42 minutes
(d) 45 minutes
(e) 50 minutes
Q4. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Q5. A and B alone can complete a piece of work in 80 days and 120 days respectively. They started working together but A left after 20 days. After another 12 days C joined B and they completed the work in 28 more days. In how many days can C alone complete the work?
(a) 110 days
(b) 112 days
(c) 114 days
(d) 120 days
(e) 124 days
Directions (6-10): Study the following pie-chart and bar diagram and answer the following questions.
The given pie chart shows the percentage-wise distribution of total students in six schools. Bar graph shows no. of boy students in each school.
Q6. What is the sum of the number of girls in School C, in School E and the number of boys in School D together?
Q7. What is the ratio of the number of boys in School C and number of girls in School B together to total number of students in School E?
(a) 45 : 97
(b) 43 : 95
(c) 52 : 87
(d) 65 : 87
(e) 73 : 43
Q8. What is the difference between the total number of students in School F and the number of boys in School E?
Q9. In which of the following schools is the total number of students equal to the number of girls in School E?
Q10. The number of girls in School A is approximately what percentage of the total number of students in School B?
Directions (11-15): Two equations I and II are given below in each question. You have to solve these equations and give answer
(a) if x > y
(b) if x < y
(c) if x ≤ y
(d) if x ≥ y
(e) if x = y or no relation can be established
Q11. I. 2x²–11x+15=0
Q12. I. 4x+3y=12