Q1. The time taken by a boat for covering ‘X – 18’ km upstream is equal to time taken by it for covering ‘X’ km downstream. If upstream speed is 6 km/hr less than downstream speed and speed of boat in still water in 15 kmph. Find X.
(a) 45 km
(b) 54 km
(c) 40 km
(d) 48 km
(e) 60 km
Q2. Mohan has two sons named Ram and Karan. The ratio of age of Mohan and Ram is 5 : 2 and that of Ram and Karan is 8 : 5. Also, Ram is 6 years elder than Karan. Find the ratio of their ages after 10 years.
(a) 23 : 10 : 4
(b) 25 : 16 : 9
(c) 25 : 13 : 10
(d) 50 : 26 : 19
(e) 25 : 16 : 10
Q3. An alloy ‘A’ made of Copper and Zinc contain 40% copper and another alloy ‘B’ having same elements contain 30% zinc. A new alloy is made by mixing both alloys which contain 60% copper. Find the ratio of quantity of alloy A and alloy B in the new alloy?
(a) 1 : 2
(b) 3 : 4
(c) 2 : 1
(d) 4 : 3
(e) 5 : 3
Q4. A bag contain 6 red balls, 3 green balls and 4 blue balls. Find the probability of selecting 3 balls such that 2 balls are of same colour ?
(a) 221/286
(b) 191/286
(c) 175/286
(d) 189/286
(e) 211/286
Q5. In 2017, A village consist of males and females in the ratio of 5 : 4. If the difference between number of males and number of females in the year 2017 is 990 and population increases by 10% every year. Find number of males in 2018 if the ratio between males and females remains same every year ?
(a) 5000
(b) 5500
(c) 5445
(d) 4950
(e) 4875
Q6. 21 men can do a piece of work in 15 days and 35 women can do a piece of work in 11 days. With the same efficiency 18 men and 20 women can do another piece of work in ‘(Y – 4)’ days and ‘Y’ days respectively. Find the value of Y?
(a) 40
(b) 44
(c) 35
(d) 38
(e) 39
Q7. What are the ways in which a committee of 7 people can be formed from a group of 5 girls and 6 boys such that the committee will always have more number of boys than girls?
(a) 210
(b) 200
(c) 270
(d) 215
(e) 220
Q8. Train A crosses a platform of 98 m length in 24 sec. Another Train B of same length as Train A crosses a pole in 12 sec. If speed of train A is 20% more than speed of train B. Find length of train A.
(a) 80 m
(b) 65 m
(c) 70 m
(d) 75 m
(e) 90 m
Q9. Raj invested Rs. 15000 in scheme ‘A’ at rate of 18% p.a. simple interest for 3 years and Riya invested Rs. 18000 in scheme ‘B’ which offers 15% p.a. compound interest in 2 years. Find the difference between the interest earned from these two schemes?
(a) Rs. 2295
(b) Rs. 2400
(c) Rs. 2500
(d) Rs. 2345
(e) Rs. 2100
Q10. Ram, Mohan and Jai started a business by investing money in the ratio 37 : 31 : 23 for a year. If the difference between Ram and Jai’s share of profit at the end of 1 year was Rs. 3380. Find the total profit earned by three of them at the end of an year?
(a) Rs. 21000
(b) Rs. 16900
(c) Rs. 18500
(d) Rs. 20400
(e) Rs. 21970
Solutions
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