What number should come in place of the question mark below?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

Every words stands for unique digit that makes the arithmetic equation true

SEVEN + SEVEN + SIX = TWENTY.

What are the digits ?

Find the next number in the series.
1 10 24 43 67 ?

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

This is a famous paradox which has caused a great deal of argument and disbelief from many who cannot accept the correct answer. Four balls are placed in a hat. One is white, one is blue and the other two are red. The bag is shaken and someone draws two balls from the hat. He looks at the two balls and announces that at least one of them is red. What are the chances that the other ball he has drawn out is also red?

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

Which number should replace the question mark?

Replace the question mark with the correct number in the below-given picture?