Quantitative Aptitude - Arithmetic Ability Questions

Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?

ax + 5y = 8 has slope of -4/3. What is the value of a?

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

If a + b = 10 and ab = 24, then what is the value of a3 + b3?

What is the unit digit of the sum of first 111 whole numbers?

The ten's digit of a 2-digit number is greater than the units digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.