Quantitative Aptitude - Arithmetic Ability Questions

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

What is the equation of a line of slope 1/3 and y-intercept 5?

Find a two digit number which is exactly three times the product of its digits?

Which of the numbers given below is NOT rational?

ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

The traffic lights at four different road crossings change after every 15 sec, 18 sec, 27 sec and 30 sec respectively. If they all change simultaneously at 6:10:00 hours, then at what time will they again change simultaneously?

Two numbers are 35% and 40% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?