1. Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5th of A's share, Rs. 20 more that 2/7th of B's share and Rs. 10 more than 9/17th of C's may all be equal. What is A's share (in Rupees)?
(1) 150
(2) 170
(3) 200
(4) 280
(5) None of these
2. A, B, C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was:
(1) 5 : 6 : 10
(2) 6 : 5 :10
(3) 10 : 5 : 6
(4) 4 : 3 : 5
(5) None of these
3. If 9 men working 71/2 hours a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hours a day to finish the work? It is being given that 2 men of latter type work as much as 3 men of the former type?
(1) 91/2
(2) 11
(3) 121/2
(4) 13
(5) None of these
4. Three pipes A, B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the cistern is:
(1) 12
(2) 14
(3) 16
(4) 18
(5) None of these
5. A train B speeding with 120 kmph crosses another train C running in the same direction, in 2 minutes. If the lengths of the trains B and C be 100 m and 200 m respectively, what is the speed (in kmph) of the train C?
(1) 111
(2) 123
(3) 127
(4) 129
(5) None of these
6. River is running at 2 kmph. It took a man twice as long to row up as to row down the river. The rate (in km/hr) of the man in still water is:
(1) 8
(2) 10
(3) 4
(4) 6
(5) None of these
7. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is:
(1) 560
(2) 600
(3) 400
(4) 640
(5) None of these
8. A sum of money becomes Rs. 13, 380 after 3 years and Rs. 20, 070 after 6 years on compound interest. The sum (in Rupees) is:
(1) 8800
(2) 8890
(3) 8920
(4) 9040
(5) None of these
9. A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it, has been evenly spread all around it to a width of 21m to form an embankment. The height (in metres) of the embankment is:
(1) 1/2
(2) 2/3
(3) 3/4
(4) 3/5
(5) None of these
10. A rectangular carpet has an area of 120 sq metres and a perimeter of 46 metres. The length of its diagonal (in metres) is:
(1) 11
(2) 13
(3) 15
(4) 17
(5) None of these
Answer
1. (1) 2. (1) 3. (3) 4. (2) 5. (1) 6. (4) 7. (2) 8. (3) 9. (2) 10. (4)
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MAHENDRA GURU