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
Q. X, Y, and Z completed a piece of work costing ₹ 4,480. X worked for 4 days, Y worked for 6 days and Z worked for
8 days. if their daily wages are in the ratio 5: 6:7, how much amount will be received by X?
1) ₹ 800
2) ₹ 1,200
3) ₹ 2,400
4) ₹ 3,000
Q. A father and son working together can finish a piece of work in 24 days. If for the last 6 days, the father alone works, then the work is finished in 26 days. In how many days can the son alone finish the work?
1) 72
2) 70
3) 68
4) 66
Q. A mobile was sold by two mobile sellers at a total gain of 45%. If the first seller sold it at a gain of 25%, then how much gain percentage did the second seller achieve?
1) 20%
2) 18%
3) 16%
4) 14%
Q. X and Y are two compounds formed by the combination of silver and copper in the ratio of 4:3 and 4:7 respectively. equal quantities of these two compounds are melted and mixed to form a new metal Z. Now metal Z contains silver and copper in the ratio of -
1) 41 : 33
2) 41 : 36
3) 33 : 41
4) 36 : 41
Q. By which of the following largest number should 2270, 3739, and 6677 be divided to obtain the same remainder in each case?
1) 1459
2) 1469
3) 1479
4) 1489
Q. The product of the LCM and HCF of two positive numbers is 72 and the difference between these numbers is 6. The sum of the number is -
1) 6
2) 12
3) 18
4) 24
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