Q1. Glass ‘A’ contains 400 ml sprite & glass ‘B’ contains 220 ml coke. 4X ml sprite taken out from ‘A’ and mixed in ‘B’ and then 3X ml mixture from ‘B’ taken out and poured into a vacant glass ‘C’. If ratio of coke to sprite in glass C is 11 : 4, then find remaining quantity of sprite in glass ‘B’?
(a) 240 ml
(b) 60 ml
(c) 64 ml
(d) 80 ml
(e) 48 ml
Q2. Diameter of a cylinder is 2/3 rd of sum of its radius & height, while ratio of curved surface area to volume of cylinder is 1 : 7. If radius and height of a cone is same as that of cylinder, then find slant height of cone?
(a) 21 √5 cm
(b) 10 √5 cm
(c) 7 √5 cm
(d) 14 √5 cm
(e) 16 √5 cm
Q3. A, B & C invested their respective savings in a scheme, which offered CI at 20% p.a. for two years and received total interest of Rs. 1694. If A & C invested double of their respective saving in another scheme, which offered SI at 10% p.a. for two years and received total interest of Rs. 1100, then find difference between saving of A & C together & saving of B?
(a) 1250 Rs.
(b) 1650 Rs.
(c) 1150 Rs.
(d) 1050 Rs.
(e) 750 Rs.
Q5. A bag contains 12 balls (Red & blue). Two balls are taken out randomly from the bag and probability of one ball being red and one ball being blue is 35/66. If ‘n’ blue balls added in bag and then two balls are taken out randomly from bag, then minimum probability of remaining blue balls in bag is 9/14, find ‘n’? (blue balls are more than red balls in the bag initially).
(a) 1
(b) 2
(c) 4
(d) 6
(e) 8
Q7. Anurag is 40% less efficient than Bholu, who can do the same work in 20% less time than Chotu. If Anurag and Bholu together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by Bholu and Chotu together.
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days
(e) 10 days
Q8. Three years ago, average age of ‘Amit’, ‘Bittu’ and ‘Chitu’ is 27 years. Four years hence, ratio of Amit and Chitu’s age is 7 : 10. If Bittu is 6 years younger than Chitu, then find present age of ‘Amit’?
(a) 24 years
(b) 27 years
(c) 30 years
(d) 28 years
(e) 36 years
Q9. X, Y and Z invested their amount on simple interest in the ratio of 4 : 5 : 8 respectively. Rate of interest for X, Y and Z is 12.5%, 10% and 20% respectively and after two years of investment X , Y and Z joined a business with the amount obtained from interest only for 12 months, 18 month and 15 months respectively. If total profit from business is Rs 8450, then find the difference between profit shares of Y and Z?
(a) Rs. 3625
(b) Rs. 3650
(c) Rs. 3850
(d) Rs. 3750
(e) Rs. 3250
Q10. Speed of a boat in still water is 20 km/hr and speed of current is 4 km/hr, if time taken by boat to cover a distance of (d – 40) km upstream is one hour more than the time taken by boat to cover a distance of (d – 24) km in downstream, then find time taken by boat to cover a distance of (d + 48) km in downstream and in upstream both?
(a) 16.5 hours
(b) 17 hours
(c) 18 hours
(d) 17.5 hours
(e) 18.5 hours
Solutions
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