Manoj starts from Point A and drives 14 km towards East. He then takes a right turn, drives 12 km, turns right and drives 17 km. He then takes a right turn and drives 21 km. He takes a final right turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)

Pipes A and B can fill a cistern in 12 hours, Pipes B and C can fill it in 14 hours and Pipes C and A can fill it in 15 hours. All three are opened together for 6 hours, then Pipes B and C are closed and Pipe A continues alone. Find the time taken by Pipe A to fill the remaining part of the cistern.

Raghav starts from Point A and drives 7 km towards west. He then takes a right turn, drives 4 km, turns right and drives 11 km. He then takes a right turn and drives 10 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)

If \((\cos\theta + \sin\theta) : (\cos\theta - \sin\theta) = (\sqrt{3} + 1) : (\sqrt{3} - 1), 0^\circ \lt \theta \lt 90^\circ\), then the value of \(\frac{\tan(\theta + 30^{\circ})}{\sec(\theta - 30^{\circ})}\) is:

Nitin starts from Point A and drives 12 km towards south. He then takes a left turn, drives 15 km, turns left and drives 14 km. He then takes a left turn and drives 19 km. He takes a final left turn, drives 2 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7421836, what will be the difference of the digits which are second from the left and second from the right in the new number thus formed?

In a certain code language, ‘JARS’ is coded as ‘4763’ and ‘ARMS’ is coded as ‘3657’. What is the code for ‘M’ in the given code language?

A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.

Question:

Among 5 poles, W, O, K, G and Y each having a different height, which pole is the shortest?

Statements:

I. Y is taller than K.

II. G is taller than Y. W is only shorter than one pole.

Which of the following is the best example of a heterogeneous mixture?