1 .
How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the respective ratio of 7 : 3 such that the resultant mixture has 40% water in it?
A.  5
B.  2
C.  3
D.  8
E.  7
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2 .
The simple interest on certain sum of money for 15 months at the rate of 7.5% per annum exceeds the simple interest on the same sum at 12.5% per annum for 8 months by Rs. 3250. Find the sum
A.  Rs.160000
B.  Rs.20000
C.  Rs.170000
D.  Rs.18000
E.  Rs.312000
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3 .
4 men and 3 women can finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 1 man and 1 woman take to do the same work ?
A.  22 $2 \over 7$ days
B.  25 $1 \over 2$ days
C.  5$1 \over 7$ days
D.  12 $7 \over 22$ days
E.  None of these
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4 .
A and B started a business with initial investments in the respective ratio of 5 : 7. If after one year their profits were in the respective ratio of 1 : 2 and the period for A's investment was 7 months, B invested the money for
A.  6 months
B.  2$1 \over 2$ months
C.  10 months
D.  4 months
E.  7 months
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5 .
An army lost 10% of 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 of the army.
A.  1000000
B.  1200000
C.  1500000
D.  1800000
E.  None of these
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6 .
What is the difference between the compound interests on Rs. 5000 for 1 year at 4% per annum compounded yearly and half-yearly?
A.  Rs.2
B.  Rs.3
C.  Rs.4
D.  Rs.8
E.  None of these
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7 .
The speeds of John and Max are 30 km/h and 40 km/h respectively. Initially Max is at the place L and John is at the 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
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8 .
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
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9 .
A profit of 8% is made by selling a shirt after offering a discount of 12% on the marked price. If the marked price of the shirt is Rs.1080, find its cost price.
A.  Rs.890
B.  Rs.780
C.  Rs.880
D.  Rs.900
E.  None of these
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10 .
The difference between $4 \over 5$th of a number and 45% of the same number is 56. What is 65% of the same number?
A.  96
B.  104
C.  112
D.  120
E.  None of these
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