Q. If ₹ 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively.
1) ₹ 150, ₹ 240, ₹ 120
2) ₹ 60, ₹ 90 , ₹ 360
3) ₹ 150, ₹ 300 , ₹ 60
4) ₹ 120, ₹ 240, ₹ 150
Q. If a4 + b 4= a 2, then a 6 + b 6 is equal to -
1) 0
2) 1
3) a2 + b2
4) a2 b + ab2
Q. Two pipes, A and B, can fill a cistern in 36 min and 45 min respectively. Both the pipe is opened together in the cistern. After how much time should A be closed so that the tank is full in 25 min?
1) 13 min
2) 14 min
3) 15 min
4) 16 min
Q. 15 liters of a mixture of milk and water contains 5% water. How much pure milk should be mixed with it to get a mixture containing 2% water?
1) 20.5 liters
2) 21 liters
3) 21.5 liters
4) 22.5 liters
Q. If 20% of A = 0.35 o B = 2/5 of C, then A : B : C is equal to -
1) 14 : 8 : 7
2) 12 : 8 : 7
3) 11 : 6 : 5
4) 13 : 8 : 5
Q. 10 is the mean of a set of 6 observations and 5 is the mean of a set of 4 observations. The mean of the combined set is -
1) 7.5
2) 8
3) 8.5
4) 9
Q. In a triangle ABC, if ∠ A = 90°, then -
1) sin A = sin B
2) sin A = - sin B
3) sin A = cos B
4) sin A = - cos B
Q. A tap can fill a tank in 8 hours. After half of the tank is filled, four more similar taps are opened. What is the total time taken to fill the tank completely?
1) 4 h 46 min
2) 4 h 48 min
3) 4 h 38 min
4) 4 h 30 min
Q. A tank 9 meters long, 4 meters wide, and (1/3) meters deep is dug in a field 24 meters long and 14 meters wide. If earth dug out is evenly spread out over the remaining field, the level of the field will rise by -
1) 4.5 cm
2) 5 cm
3) 3.5 cm
4) 4 cm
Q. A train leaves Hyderabad at 7 AM and reaches Vijayawada at 11 AM. Another train leaves Vijayawada at 9 AM and reaches Hyderabad at 12:30 PM. At what time would the two trains cross each other?
1) 9:50 AM
2) 9:56 AM
3) 10:02 AM
4) 10:08 AM
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