QuestionWhich of the following is the output of 495 * 495 - 105 * 105?Typemultiple_choiceOption234000correctOption360000incorrectOption300000incorrectOption350000incorrectSolutionApply formula; (a2 - b2) = (a - b) (a+b) 495 x 495 - 105 x 105 = (4952 - 1052) = (495 - 105) (495 + 105) = 390 * 600 = ...

QuestionWhat is the average of first five natural numbers?Typemultiple_choiceOption5incorrectOption2incorrectOption3correctOption4incorrectSolution: Sum of first five natural numbers =1+2+3+4+5 = 15Number of quantities = 5On putting these values in formula:Average = 15/5= 3

QuestionTwo boys start running at the same time in the same direction at a speed of 10 km/hr and 12 km/hr respectively. In what time they will be 8 km apart?Typemultiple_choiceOption3 hoursincorrectOption4 hourscorrectOption5 hoursincorrectOption6 hoursincorrectSolution : Both the boys are ...

QuestionTwo pipes can fill a tank in 10 and 14 minutes respectively. A third pipe can empty the tank at the rate of10 liters/minute. If all the pipes working together can fill the empty tank in 8 minutes,what is the capacity of the tank?Typemultiple_choiceOption210 litersincorrectOption215.4 ...

QuestionA tank can be filled in 10 hours. After a leak in its bottom, it takes 12 hours to fill the tank. Find the time taken by the leak to empty the full tank?Typemultiple_choiceOption45 hoursincorrectOption60 hourscorrectOption50 hoursincorrectOption55 hoursincorrectSolution : Part of the ...

QuestionTwo pipes can fill a tank in 6 hours and 8 hours respectively. A third pipe can empty the same tank in 12 hours. If all the pipes start working together, how long it will take to fill the tank?Typemultiple_choiceOption4 hoursincorrectOption4.5 hoursincorrectOption4.8 hourscorrectOption5.2 ...

QuestionThree pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?Typemultiple_choiceOption3.7 minutescorrectOption4 minutesincorrectOption4.5 minutesincorrectOption5 ...

QuestionA pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time, the tank can be filled inTypemultiple_choiceOption10 hoursincorrectOption12 hourscorrectOption14 hoursincorrectOption16 hoursincorrectSolution : Part of the ...

QuestionThe top of a 30 m high wall makes an angle of elevation of 60° with the top of a tower and makes an angle of depression of 45° with the bottom of the tower. Find the distance between tower and wall?Typemultiple_choiceOption27 mincorrectOption28 mincorrectOption29 mincorrectOption30 ...

QuestionThe angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building.Typemultiple_choiceOption70 √3 ...

QuestionA storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60° with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find the height of the ...

QuestionA man sees the top of a tower from a point P. It makes an angle of elevation of 30° with the man's eyes. If the height of the tower is 100 m, find the distance between man and tower?Typemultiple_choiceOption57.8 mincorrectOption110 mincorrectOption173 mcorrectOption140 mincorrectSolution : ...