Q1. A bag has seven red, four white and three green balls while another bag has five red, six yellow and three blue balls. A bag is selected at random and a ball drawn out of it, then Find the probability that the ball drawn is red.
(a) 1/7
(b) 3/7
(c) 2/7
(d) 1
(e) 6/7
Q2. How many FOUR letter words containing at least one vowel and one consonant can be formed using the letters of the word JUKED so that no word is repeated in the word formed?
(a) 5
(b) 120
(c) 60
(d) 24
(e) 90
Q3. A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late, what is the speed of the train?
(a) 50 kmph
(b) 60 kmph
(c) 45 kmph
(d) 58 kmph
(e) 65 kmph
Q4. Curved surface area of a given cylinder is 924 m². If ratio of radius and height of cylinder is 1 : 3 then find the volume of cylinder (in m³)
(a) 3234
(b) 2156
(c) 3102
(d) 2860
(e) 3476
Q5. A well of 16m diameter is dug for 9m deep. The soil taken out of it has spread evenly all-around of well in shape of circular ring of width 4m to form an Embankment. Find the height of Embankment
(a) 8.1 m
(b) 6.3 m
(c) 13.09m
(d) 7.2m
(e) 9m
Q7. Upstream speed in a river is 60% of the downstream speed for same distance. If speed of boat is 24 km/hr then in how much time boatman will cover 45 km in upstream and 60 km in downstream together?
(a) 4.5 hours
(b) 7.5 hours
(c) 3.5 hours
(d) 5.5 hours
(e) 6.5 hours
Q8. In a school, 40% students are girls and rest are boys. 75% of the boys passed in the examination. If 80% of total 1200 students passed then find the number of girl passed in the examination?
(a) 420
(b) 400
(c) 480
(d) 450
(e) 440
Q9. A boat can row to a place 56 km away and come back in 22 hours. The time to row 21 km with the stream is same as the time to row 12 km against the stream. Find the speed of boat in still water?
(a) 1.5 kmph
(b) 3.5 kmph
(c) 5.5 kmph
(d) 7.5 kmph
(e) 6 kmph
Q10. In an alloy ‘A’, zinc & copper is in the ratio of 1 : 1. In the second alloy ‘B’, the same element are in the ratio 3 : 5. If these two alloys mixed to form a new alloy in which zinc and copper is in the ratio 2 : 3, find the ratio in which alloy ‘A’ and alloy ‘B’ are mixed?
(a) 2 : 3
(b) 3 : 2
(c) 1 : 4
(d) 4 : 1
(e) 3 : 1
Q11. A, B and C invested in a ratio of 7 : 8 : 5 in a business. They got an annual profit of Rs. 136800. If A and C withdrew their amount at the end of 3 months and 7 months respectively. Then find the difference between A and C’s share of profit?
(a) Rs. 12,600
(b) Rs. 11,500
(c) Rs. 13,500
(d) Rs. 10,500
(e) Rs. 13,000
Q13. The price of sugar increases by 20% and the consumption of a family decrease by 16 ⅔%. Find the % change in the expenditure of family?
(a) 2%
(b) 0%
(c) 3%
(d) 2.5%
(e) 1.5%
Q14. Find ratio between S.I. and C.I. on a sum of money invested for 3 years at 5% rate of interest per annum ?
(a) 15 : 1261
(b) 151 : 156
(c) 121 : 441
(d) 1200 : 1261
(e) 121 : 484
Q15. Q is 20% more efficient than P. Q work for ‘y’ days and is replaced by P who complete the remaining work in ‘y + 8’ days. Ratio of work done by P and Q is 3 : 2. Find in how many days will P and Q complete work, if they work together ?
(a) 120/11
(b) 30
(c) 25
(d) 55
(e) 150/11
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