Quantitative Aptitude - Arithmetic Ability Questions

Product of 6ab, 3b and 4a is

If (1 - cosA)/2 = x, then the value of x is

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

What is the average of all numbers between 8 and 74 which are divisible by 7?

What is that least number that must be added to the product 684 × 686 to make it a perfect square?