#1 - Hard Next Number In Sequence Picture
Complete the picture sequence ?
98
ab+a(a-1)
7*8+7(7-1)=56+42
#2 - Math Image Question
Can you find out the number of the parking space in which the car is parked?
The parking number is 87. You will know why if you invert the image and then see.
#3 - Hard Mathematical Logic Puzzle
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 ?
146900
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.
#4 - Maths Tricky Problem
If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.
How is this possible ?
It is possible if you are using Roman Numerals.
9 = IX
10 = X
11 = XI
Now it is all possible.
#5 - Trivia Maths FAQ Riddle
Given the numbers between 1 and 1 million, what is so special about the number 40 that it makes the number stand out of the crowd ?
The number 40 (Forty) is the only number which when written in English has all the letters in the same order as in the alphabets.
#6 - IAS Tricky Logical Question
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.
#7 - Tricky Number Sequence Puzzle
Analyze and find the missing item in the sequence:
16, 06, 68, 88, __, 98
L8
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.
#8 - Fun Probability Question
Upon tossing a fair coin ten times, you get heads every time.
What is the probability that in the next toss, it will land with heads up again?
50%
The next toss of the coin is not dependent upon the previous ten tosses. Thus, the probability is 50 percent only.
#9 - Mystery Number Riddle
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.
#10 - Count The Squares Puzzle
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.
http://1.bp.blogspot.com/-aGHzJWfxtEY/U2_Yh0HBt1I/AAAAAAAAC6s/VCeYXzdT1rk/s1600/how-many-squares-puzzle-solution-1.png
You can make out four squares in the image.
http://1.bp.blogspot.com/-lTktLIzp260/U2_Yh67sYFI/AAAAAAAAC68/JHsFRRPVhMs/s1600/how-many-squares-puzzle-solution-2.png
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.