Q1. Three friends Kunal, Hemant and Shubham started a business. The ratio of amount invested by Kunal and Hemant is 2: 3 and that by Kunal and Shubham is 5: 7. If the profit earned by Kunal at the end of year is Rs.92 less than that earned by Shubham. Find the profit earned by Hemant.
(a) Rs.235
(b) Rs.270
(c) Rs.415
(d) Rs.345
(e) Rs.375
Q2. A pipe can fill a tank in 7.5 hours. Due to a leak in the tank, it took 9 hours for the pipe to fill the tank. Find the time in which the full tank can be drain out by the leak?
(a) 30 hours
(b) 45 hours
(c) 54 hours
(d) 36 hours
(e) 27 hours
Q3. A’s present age is 25% less than B’s present age and A’s present age is 40% less than C’s present age. After 10 years, the ratio of ages of A, B and C age is 11: 13: 15. Find B’s age 3 years ago?
(a) 13 years
(b) 15 years
(c) 16 years
(d) 19 years
(e) 8 years
Q4. A sum of money of Rs.40000 is invested at rate of 20% p.a. for 1 year. Find compound interest if rate is compounded quarterly.
(a) Rs.8000
(b) Rs.3712.25
(c) Rs.2158.25
(d) Rs. 8620.25
(e) Rs.14641
Q5. A boat can row 40 km upstream in the same time as a person covers 20 km distance between home and office and then return home with an average speed of 5 km/hr. If the downstream speed of boat is four times of speed of current, find speed of boat in still water (in km/hour)?
(a) 2.5
(b) 5
(c) 7.5
(d) 6
(e) 4
Q6. Profit earned after selling an article in Rs.400 is 16 ⅔% more than profit incurred when it is sold for Rs.350. What would be the selling price if he wants to earn a profit of 20%?
(a) Rs.80
(b) Rs.90
(c) Rs.45
(d) Rs.75
(e) Rs.60
Q7. If P is 50% more efficient than Q and P is 60% less efficient than Q and R together. Then find R is how much percent more/less efficient than Q?
(a) 275%
(b) 75%
(c) 175%
(d) 150%
(e) 50%
Q8. The sum of square of two positive numbers is 801 and one number is 37.5% less than other number. Find the large number.
(a) 12
(b) 24
(c) 9
(d) 18
(e) 16
Q9. A person covers 66 km distance in ‘t’ hours by travelling some distance by bus and some by train and speed of train is 120% of the speed of bus. If ratio of distance travelled by bus and train is 4: 7 and bus covers 24 km distance with 24 km/hour speed in (t+ ½ ) hours, then find speed of train(approximately)?
(a) 136 km/h
(b) 142 km/h
(c) 124 km/h
(d) 148 km/h
(e) 108 km/h
Q10. In a 20 overs match, a team has scored at the run rate of 9.2 in first 15 overs. If team scored 70 runs in last five overs, find the overall run rate of team in match.
(a) 10.4
(b) 9.6
(c) 8.4
(d) 9.2
(e) 10.8
Q11. Find probability of selecting a team of 7 members from a group of 6 girls and 7 boys such that team will have at least 3 girls and at most 4 boys?
(a) 421/858
(b) 129/286
(c) 679/858
(d) 117/286
(e) 131/731
Q12. S1 is a series of five consecutive multiples of 4 whose sum is 100. S2 is a series of 4 consecutive even integers such that the second smallest number of S2 is 6 less than the largest number of S1. Find average of series S2.
(a) 28
(b) 25
(c) 32
(d) 34
(e) 23
Q13. The area of two squares is in the ratio of 144: 289. Find ratio of their diagonals?
(a) 12 : 17
(b) 3 : 4
(c) 12√2 : 17
(d) 12 : 17√2
(e) 17 : 13
Q14. In how many ways can letters of word ‘VICTORY’ be arranged such that all vowels always come together?
(a) 1440
(b) 720
(c) 960
(d) 2160
(e) 2880
Q15. The numerator of a fraction is increased by 30% and denominator decreased by 40%. The product of new fraction formed and original fraction is 39/32. Find original fraction?
(a) 5 : 8
(b) 5 : 6
(c) 3 : 4
(d) 4 : 5
(e) 5 : 7
Solutions
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