Quantitative Aptitude - Arithmetic Ability Questions

Length of three line segments isgiven. Is construction of a triangle possible with the segments in the given cases?

If x2 + ax + b, when divided by x - 4, leaves a remainder of 32 and x2 + bx +a, when divided by x - 4, leaves a remainder of 35, then a + b = ?

What is the value of 643 × 121289 - 169 ?

A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30 and 60 deg respectively. The distance between the persons is

Find the odd word/letters/number pair from the given alternatives.

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

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.