Quantitative Aptitude - Arithmetic Ability Questions

A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

If a/b = c/d = e/f = 2/5, then what is (5a + 3c + 2e) : (5b + 3d + 2f)?

There are two buckets, smaller bucket can hold only 3/5th of the water as compared to the larger bucket. If 6,000 buckets of larger capacity are needed to fill a pond. Then how many smaller capacity buckets are needed to fill the same pond?

Two numbers are in the ratio of 15 : 11. If their HCF is 13, then the greater number is?

The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 :3, then what is the second number?

The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? √580×∛510+ 49.999 x 3.999=?

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

$$\begin{gathered} I. 5x2+ 28x = -15 \\ II. 3y2+ 11y + 6 = 0 \end{gathered}$$