Aptitude and Reasoning Questions

In the following question, select the missing number from the given series.

2, 5, 12, 27, ?

A statement is given followed by three inferences numbered I, II, and III. Consider the statement to be true even if it is at variance with commonly known facts. You have to decide which of the inferences, if any, follow from the given statement.

Statement: 

Donald Trump began the week facing accusations of treason over his embrace of Vladimir Putin and ended it with a middle finger to his many critics by inviting the Russian autocrat to the White House.

Inferences:

I. America and Russia are not allies.
II. No prior American President has ever
embraced a Russian counterpart.
III. Russian President, Vladimir Putin,
has been a long-time US enemy.

In ∆ABC, ∡A + ∡B = 75 and ∡B + ∡C = 140, then ∡B =

How much quantity (in kg) of wheat costing Rs 84 per kg must be mixed with 81 kg of wheat costing Rs 60 per kg so that on selling the mixture at Rs 75.9 per kg, there is a gain of 15%?

Consider the following information and answer questions based on it.

Seven bottles colored - brown, blue, black, violet, white, indigo and purple are kept in a row, in random order, from left to right such that the -

1. White and purple bottles are not at either extremes.

2. Brown bottle is to the immediate right of violet bottle and to the immediate left of the white bottle.

3. White, violet and brown bottles are not at the center.

4. Black bottle is to the immediate left of purple bottle.

5. Blue bottle is neither second last nor at either extremes.

Which of the following statement is correct?

If  a+1/a = 3, then a3+1a3?

Find the unit place digit in 192102 + 193103

What is the value of cos 11π/6?