Quantitative aptitude

Question The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ? Type multiple_choice Option 60° incorrect Option 30° incorrect Option 45° correct […]

Question Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building? Type multiple_choice Option 30.8 m correct Option 60 m incorrect Option 76.8 m incorrect Option 40.5 m

Question If two-third of three-fourth of a number is 34, find the 20% of that number? Type multiple_choice Option 13 incorrect Option 13.6 correct Option 14 incorrect Option 14.6 incorrect Solution:

Question What is the unit digit in the product of 853 * 1346 * 452 * 226? Type multiple_choice Option 4 incorrect Option 5 incorrect Option 6 correct Option 8 incorrect Solution Pick up the unit digit of each number and multiply them; 3 in 853 6 in 1346 2 in 452 6 in 226

Question Which of the following is the output of 495 * 495 – 105 * 105? Type multiple_choice Option 234000 correct Option 360000 incorrect Option 300000 incorrect Option 350000 incorrect Solution Apply formula; (a2 – b2) = (a – b) (a+b) 495 x 495 – 105 x 105 = (4952 – 1052) = (495 – 105) (495

Question What is the average of first five natural numbers? Type multiple_choice Option 5 incorrect Option 2 incorrect Option 3 correct Option 4 incorrect Solution: Sum of first five natural numbers =1+2+3+4+5 = 15Number of quantities = 5On putting these values in formula:Average = 15/5= 3

Question Two 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? Type multiple_choice Option 3 hours incorrect Option 4 hours correct Option 5 hours incorrect Option 6 hours incorrect Solution : Both the boys

Question Two 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? Type multiple_choice Option 210 liters incorrect Option 215.4 liters correct

Question A 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? Type multiple_choice Option 45 hours incorrect Option 60 hours correct Option 50 hours incorrect Option 55 hours incorrect Solution :

Question Two 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? Type multiple_choice Option 4 hours incorrect Option 4.5 hours incorrect Option 4.8 hours correct