Quantitative Aptitude - Arithmetic Ability Questions

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

If sin - 4π/3 = x, then the value of x is

If 3.352 -­ (9.759 -­ x ) -­ 19.64 = 7.052, then what is the value of x?

If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

If a = √2 + 1 and b = √2 - 1, then the value of 1a+1+1b+1 will be

What least number must be added to 213, so that the sum is completely divisible by 9?

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?