Complete the picture sequence ?
A devotee visits 9 temples when he visits India. All these nine temples have one thing in common - there are 100 steps in every temple. The devotee puts Re.1 coin after climbing up every step. He does the same while climbing down every step. At each temple, the devotee offers half of his money from his pocket to god. In this way, his pocket becomes empty after his visit to 9th temple.
Can you calculate the total amount he had initially ?
In such cases, we calculate from the last thing. Thus in this case, let us start counting from the 9th temple. Since, he must have offered 100 coins while climbing down stairs, it means that he must have offered Rs. 100 to god on the ninth temple and offered Rs. 100 while climbing up steps. Thus it is clear that he had Rs. 300 in his pocket before climbing the steps of the 9th temple.
Similarly, we will calculate for all the temples backwards.
Before eight temple: (300+100)*2 + 100 = 900
Before seventh temple: (900+100)*2 + 100 = 2100
Before Sixth temple: (2100+100)*2 + 100 = 4300
Before fifth temple: (4300+100)*2 + 100 = 8900
Before fourth temple: (8900+100)*2 + 100 = 18100
Before third temple: (18100+100)*2 + 100 = 36,500
Before second temple: (36500+100)*2 + 100 = 73300
Before first temple: (73300+100)*2 + 100 = 146900
Therefore he had Rs. 146900 initially.
You board a train. The train will have to enter a tunnel soon. You are claustrophobic. Which place is the best for you to sit ?
The back seat of the last coach will be the best. The reason is because, the train will be accelerating after the stop and thus, it will be much faster when the back of the train enters the tunnel than when the front of the train enters. Thus you will have to spend less time in the tunnel.
Analyze and find the missing item in the sequence:
16, 06, 68, 88, __, 98
This is a bit tricky questions. To solve you must look at the series upside down. It is actually
91, 90, 89, 88, __, 86
So we need 87 in the place of blank. To achieve 87 in an upside down position, the correct answer will be L8.
Thus, the missing item in the series is L8.
Consider all the numbers between 1 and 1 million. Among all these numbers, there is something very special about the number 8 and the number 2202. What is it ?
If you start arranging the numbers alphabetically, the numbers 8 (eight) will come first and the number 2202 (two thousand two hundred and two) will come at last.
Can you find out the number of squares in the given picture?
There are 12 squares in the picture.
The trick to find it would be drawing diagonals. We know that the sides of a square are parallel and thus, the diagonals should be parallel as well. Let us begin with the outer most rectangle. See the picture. The yellow lines are diagonals drawn for reference.
You can make out four squares in the image.
Now see the next image. You can make out a total of 8 squares - 3 blue, 3 green and 2 red. There are 4 other rectangles in the figure but they cant be square as their diagonal is not parallel with the yellow lines we drew for reference.
Thus, total squares = 4 + 8 = 12.