Quantitative Aptitude - Arithmetic Ability Questions

1/4 of 12?

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

Find the fourth proportional to 2, 3, 6.

If cot2A -­ cos2A = x, then value of x is

If  x = a + 1/a, y = a - 1/a, then the value of x4+y4-2x2y2

How many 100 digit positive number are there?

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

Sum of four consecutive odd numbers is 208. Find the largest number.