Q1. Two vessels P and Q contains mixture of milk and water. In P water is 33⅓% less than milk and in Q water is 50% more than milk. 40 liters of mixture is taken out from vessel P and mixed in vessel Q, due to which new ratio of milk to water in vessel Q becomes 11 : 14 and total volume of mixture in vessel Q after replacement becomes equal to initial volume of mixture in vessel P. Now, ‘q’ liters mixture is taken out from vessel Q and mixed in vessel P and ratio of milk to water become 7 : 6 in vessel P. Find the value of ‘q’.
(a) 40
(b) 50
(c) 100
(d) 60
(e) 80
Q2. In a house , there is a semicircular corridor, a circular hall and a circular garden. Sum of perimeter of corridor and hall is 102 m.If radius of hall is 50% more than radius of corridor then find area of circular garden, given radius of garden is 300% more than sum of radius of corridor and radius of hall.
(a) 6300π sq.m
(b) 5400π sq.m
(c) 5700π sq.m
(d) 4200π sq.m
(e) 4900π sq.m
Q3. Ratio of Anurag’s age four years later to Bhavya’s age six years later is 2 : 1. Another person Chiru whose present age is twice of the sum of present ages of Anurag and Bhavya and ratio of Chiru’s age 4 years later to Bhavya’s age 4 years later is 23 : 4. Find the present age of Bhavya ?
(a) 16 years
(b) 10 years
(c) 15 years
(d) 12 years
(e) 18 years
Q4. A and B entered into partnership business. A invested Rs. P and B invested 40% more than A and each of A & B invested for eight months. After four months from starting of business, C joined them with the amount equal to amount invested by A & B together for four months and they got a total profit of Rs. 14400. Find 80% of profit share of A.
(a) 4800 Rs.
(b) 2400 Rs.
(c) 2000 Rs.
(d) 1600 Rs.
(e) 3200 Rs.
Q5. ‘A’ invested Rs. 2400 at the rate of __________ % p.a. for three years on SI and ‘B’ invested Rs. __________ for two years on CI at the rate of 20% p.a. compounding annually. If ratio of interest received by A & B is 9 : 11 respectively, then what should come in the place of given blanks.
(a) 12.5 & 2500
(b) 25 & 2500
(c) 10 & 2500
(d) 25 & 5000
(e) Either (a) or (d)
Q6. Veer , Sameer and Raj entered into a partnership business. Capital invested by Veer is 50% more than that of Sameer, while capital invested by Raj is 25% less than that of Veer. After one year, if Veer got Rs.14400 more profit than Sameer, then find total profit they got in business?
(a) 104400 Rs.
(b) 104000 Rs.
(c) 140400 Rs.
(d) 120400 Rs.
(e) 140440 Rs.
Q7. The ratio between marked price of a same watch in two shops P and Q is 7 : 5 . In shop P watch available at two successive discounts of 10% & 25% , while in shop Q watch available at two successive discounts of d% and 10%. If selling price of watch at shop Q is less than that of selling price of watch at shop P by 44/105 th of the selling price of watch at shop P, then find the value of ‘d’ ?
(a) 39%
(b) 29%
(c) 31%
(d) 35%
(e) 37%
Q8. Ratio of age of Vikas to age of Rohit 2: 3 and average age of Rohit, Vikas and Rahul is 23. When Arjun joins the group average age of these 4 persons is 25 years. Calculate sum of age Arjun and Rahul, if Rahul is 13 years older than Vikas ?
(a) 40 years
(b) 47 years
(c) 60 years
(d) can’t be determined
(e) None of these
Q9. Abhishek and Abhinandan together can complete a work in 20 days. Abhinandan started to work alone and completes 2/3 work and remaining work is completed by Abhishek alone. They completed the work in total 39 days. Find in how many days Abhinandan alone can complete the work if he works for whole number of days?
(a) 45 days
(b) 36 days
(c) 30 days
(d) 24 days
(e) 60 days
Q10. A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same(in Rs.)?
(a) 3000
(b) 6000
(c) 9000
(d) 12000
(e) 7000
Q11. In a game of dice, a person is given advantage of throwing dice one more time only if he gets 6. What is the probability of getting the game shifted to next person after 4 throws?
(a) 5/1296
(b) 1/216
(c) 5/216
(d) 1/1296
(e) 5/7776
Q12. Number of ways of drawing 2 red balls from a bag containing two type of balls (red color balls and yellow color balls) is 15. The probability of drawing 2 yellow balls (when 2 balls are drawn at random) from the bag is 4/13. Find the difference between number of red balls and number of yellow color balls in the bag.
(a) 4
(b) 0
(c) 1
(d) 3
(e) 2
Q13. Vessel A contains 10 lit milk & 5 lit water while vessel B contains juice & sugar solution in ratio 6 : 1. Equal quantity of both mixtures is mixed and from final mixture, 6 lit is taken out and replaced with equal quantity of water. In final mixture (after replacement) water quantity is 40 lit. What is the final quantity of juice in mixture before replacement? (in litres)
(a) 75
(b) 60
(c) Cannot be determined
(d) 90
(e) 120
Q14. Mohit joined a course, fees of which is Rs 100000. His father gave him 30% of actual fees amount while mother gave him 20% of remaining fees. He collected 50% of remaining from his friends. Remaining amount he borrowed from a café owner for which he had to work there where he was getting Rs 2500 per month. For how long he has to work at café? (approximate integral value)
(a) 10 months
(b) 11 months
(c) 8 months
(d) 13 months
(e) 9 months
Q15. Amit purchased a car worth Rs 600000 on loan at 15% p.a. simple interest. He rented his car as a cab and got Rs. 50000 per month. After some time, he wants to replace his car and new car costs Rs 800000. For how long he has to wait to purchase new car if old car was sold at 50% of its original price? (he paid whole amount of loan in a single transaction)
(a) 13 months
(b) 21 months
(c) 25 months
(d) 18 months
(e) 16 months
Solutions
Quantitative Aptitude Quiz For Bank Main...
Quantitative Aptitude Quiz For Bank Foun...
