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Q1. 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days.
(a) 2
(b) 4
(c) 6
(d) 8
(e) 10
Q2. A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:
(a) 38 minutes
(b) 22 minutes
(c) 42 minutes
(d) 45 minutes
(e) 50 minutes
Q3. Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?
(a) 8 km/hr
(b) 10 km/hr
(c) 7 km/hr
(d) 5 km/hr
(e)12 km/hr
Q4. A train covers certain distance between two places at a uniform speed. If the train moved 10 kmph faster, it would take 2 hours less, and if the train were slower by 10 kmph, it would take 3 hours more than the scheduled time. Find the distance covered by the train.
(a) 300 km
(b) 600 km
(c) 800 km
(d)1200 km
(e)1000 km
Q5. A motorboat travelling at a certain speed, can cover 25 km upstream and 39 km downstream in 8 hours. At the same speed, it can travel 35 km upstream and 52 km downstream in 11 hours. The speed of the stream is:
(a) 2 kmph
(b) 3 kmph
(c) 4 kmph
(d) 5 kmph
(e) 8 kmph
Q6. The mean of 100 items was 46, Later on it was discovered that item 16 was misread as 61 and another item 43 was misread as 34. It was also found that the number of items was 90 and not 100. Then what is the correct mean (rounded off to two decimal places)?
(a) 45.64
(b) 50.71
(c) 52
(d) 52.7
(e) 54.8
Q7. In a cement plant, there are 600 employees, consisting of officers and workers. The average monthly salary of employee is Rs. 3000. The average salary of an officer is Rs. 8000 and that of an worker is Rs. 2000. The number of workers is more than the number of officers by.
(a) 500
(b) 400
(c) 300
(d) 100
(e) 350
Q8. A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person?
(a) 18 years
(b) 20 years
(c) 24 years
(d) 32 years
(e) 36 years
Q9. A team consists of 8 boys and 6 girls and the other team have 6 boys and 4 girls. How many single matches can be arranged between the two team when a boy play against a boy and a girl plays against a girl?
(a) 76
(b) 72
(c) 83
(d) 90
(e) 96
Q10. Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible?
(a) 5
(b) 10
(c) 4
(d) 9
(e) 12
Directions (11-15): What value should come in the place of question mark (?) in the following questions?
Q11. 3.6 + 36.6 + 3.66 + 0.36 + 3.0 =?
(a) 44.22
(b) 77.22
(c) 74.22
(d) 47.22
(e) 57.22
Q12. 23 × 45 ÷ 15 =?
(a) 69
(b) 65
(c) 63
(d) 71
(e) 81
Q15. 83% of 2350 = ?
(a) 1509.5
(b) 1950.5
(c) 1905.5
(d) 1590.5
(e) 1850.5
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