Directions (1-2): There are some horses, hens and elephants in a park. Ratio between number of heads in park to number of legs in park are 7 : 20.
Q1. Find the probability of choosing a hen over all the animals.
(a) 3/7
(b) 2/7
(c) 3/8
(d) 4/7
(e) 2/9
Q2. If probability of choosing 2 horses over all the animals are 9/119, then find the number of elephant present in park. (Number of horses is double than that of the number of elephants in park).
(a) 5
(b) 10
(c) 20
(d) 15
(e) 25
Q3. A boat cover 60 km upstream and 60 km downstream in 22.5 hr with its usual speed. If boat double its speed then new upstream speed is 150% more than the usual upstream speed. Find the time taken by boat to cover 80 km in downstream with usual speed.
(a) 12 hr
(b) 20 hr
(c) 5 hr
(d) 16 hr
(e) 10 hr
Q4. Tank 1 can be filled by pipe A alone in 7.5 min, while total time taken by pipe B to fill & to empty the same tank is 25 min and the efficiency of pipe B during time of filling and empty is same. Pipe A was opened for 12 minutes alone in tank 2. Then pipe B alone for 12 minutes. Remaining of tank 2 was filled by pipe C in 18 minutes. Find the time taken by pipe C to fill 80% of tank 1, if the ratio of volume of tank 1 to tank 2 is 1 : 4.
(a) 12.5 minutes
(b) 13.5 minutes
(c) 8.5 minutes
(d) 8 minutes
(e) 10 minutes
Q5. A person ‘A’, invested 37½% of his savings in scheme XYZ, while B invested 62½% of his savings in the same scheme. If B invested 50% of his remaining savings in scheme PQR, and A thought to invest double of the amount invested by B in PQR scheme then find what percent of A’s remaining savings after investment in XYZ, A should invest in PQR. Given that amount invested by B in XYZ is twice the amount invested by A in same scheme.
(a) 80%
(b) 68%
(c) 64%
(d) 72%
(e) 60%
Directions (6-7): A boat ‘A’ start from point X, toward point Y in upstream simultaneously second boat ‘B’ start from point Y to X having speed more than first boat ‘A’. Difference between speed of both boats in still water is equal to the speed of stream and they cross each other first time after 2 hours. Given that both boats start their respective return journey by reaching their destination points.
Q6. If distance between X and Y is 56 km and speed of stream is 4 km/hr then find the distance from ‘Y’ when boats cross each other 2nd time.
(a) 2.8 km
(b) 2.4 km
(c) 5.6 km
(d) 3.2 km
(e) 4.8 km
Q7. Find the time taken by boats to cross each other on 2nd time from the first time if speed of second boat ‘B’ is 1.5 times of the speed of first boat ‘A’ in still water?
(a) 5 hours
(b) 3 hours
(c) 2 hours
(d) 6 hours
(e) 4 hours
Directions (8-10): India wins every 6 matches out of 10 matches against England. Virat Kohli (Indian Player) make a century in every 3 matches out of 5 matches and in which he makes century, India wins 80% of the matches. Alastair cook (England’s player) make 1 century in every 4 matches and England wins 60% of that matches.
Q8. Find the probability of India’s winning against England when Kohli and Cook both make centuries.
(a) 20/623
(b) 17/625
(c) 36/625
(d) 24/625
(e) 18/625
Q9. Find the probability that India wins against England when Kohli failed to make a century.
(a) 8/25
(b) 3/5
(c) 6/25
(d) 4/25
(e) 12/25
Q10. Find the probability of winning England against India when Kohli make a century but cook does not.
(a) 9/250
(b) 16/250
(c) 2/5
(d) 14/250
(e) 21/250
Solutions
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