1. How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
(a)5 (b)2 (c)3 (d)8 (e) 7
2. The S.I on certain sum of money for 15 months at rate of 7.5% per annum exceed the S.I on same sum at 12.5% per annum for 8 months by Rs 3250 find sum?
(a) 160000 (b)20000 (c) 170000 (d)18000 (e)312000
3. The speeds of John and Max are 30 km/h and 40 km/h. Initially Max is at a place L and John is at a place M. The distance between L and M is 650 km. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is :
(a) 220 km (b) 250 km (c) 330 km (d) 320 km (e) None of these
4. A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A’s investment was 7 months, B invested the money for
(a) 6 months (b) 2 ½ months (c) 10 months (d) 4 months (e) 7 months
5. An army lost 10% its men in war, 10% of the remaining due to diseases and 10% of the rest were disabled. Thus, the strength was reduced to 729000 active men. Find the original strength.
(a) 1000000 (b) 1200000 (c) 1500000 (d) 1800000 (e) none of these
6. The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20 kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
(a) 14 and 26 (b) 13 and 27 (c) 17 and 27 (d) 19 and 21 (e) None of these
7. A profit of 8% is made by selling a shirt after offering a discount of 12%. If the marked price of the shirt is Rs.1080, find its cost price
(a) 890 (b) 780 (c) 880 (d) 900 (e) none of these
8. The difference between of a number and 45% of the number is 56. What is 65% of the number?
(a) 96 (b) 104 (c) 112 (d) 120 (e) None of these
9. A man can row 24 km upstream and 54 km downstream in 6 hours. He can also row 36 km upstream and 48 km downstream in 8 hours. What is the speed of the man in still water?
(a) 18.75 kmph (b) 19.25 kmph (c) 17.65 kmph (d) 15.55 kmph (e) 22.75 kmph
10. In a village three people contested for the post of village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral per cent of votes?
(a) 4 (b) 2 (c) 1 (d) 3 (e) None of these
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MAHENDRA GURU