Quantitative Aptitude - Arithmetic Ability Questions

The least number to be added to 13851 to get a number which is divisible by 87 is

Convert the 0.0068 in to vulgar fraction:

A invested an amount of x rupees in a bank for 2 years which gave 5% interest in year 1 and 6% interest in year 2. The amount received after 2 years is Rs 24,486. What is the value of x?

What is the simplified value of [(sec3x – tan3x)/(sec x – tan x)] – 2 tan2x – sec x tan x?

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

Speeds of a boat along the current and against the current are 14 km/hr and 7 km/hr respectively. What is the speed of boat (in km/hr) in still water?

In the following question, select the odd letters from the given alternatives.