A student has $60\%$ chance of passing in English and $54\%$ chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?

In the Cartesian plane, four points $P,Q,R$ and $S$ have co-ordinates $(1,1),(4,2),(4,4)$ and $(1,4)$. What is the area of the quadrilateral $PQRS$?

From the diagram shown, which of the following options would be the correct conclusion?

Which of the following can be inferred from the statement: 'Either John is stupid, or John is lazy'?

I. John is not lazy. Therefore, John is not stupid.

II. John is not lazy. Therefore, John is stupid.

III. John is not stupid. Therefore, John is lazy.

IV. John is stupid. Therefore, John is lazy.

Choose the correct answer from the codes given below.

A person earns $Rs.2000$ per month over and above his salary as additional charge allowance. However, $30\%$ of this additional income will be deducted as additional income tax at source. If the person deposited $Rs.1000$ per month on a long-term saving fetching $12\%$ interest, his tax liability on the additional allowances would reduce by $10\%$. What is the effective interest for this person for money invested in the long-term saving scheme?

Consider the following figures.

Which one of the following conclusions can be drawn from these figures?