Substitute digits for the letters to make the following Division true
Y F Y
-----------
A Y | N E L L Y
| N L Y
----------------
P P L
P N H
----------
N L Y
N L Y
----------
0 0 0
Note that the leftmost letter can't be zero in any word. Also, there must be a one-to-one mapping between digits and letters. e.g. if you substitute 3 for the letter N, no other letter can be 3 and all other N in the puzzle must be 3.
Submitted by : Calon
Answer
See the pattern of the Y. AY * Y = NLY i.e. Y is multiplied by Y and the last digit of the answer is also Y. Thus, the value of Y would be 5 or 6.
Also,
H=0 as L - H = L
P = 2N as P - N = N
L - Y = P = 2N
E - L = p
Let's find out the minimum possible values. If N=1, then P=2, Y=5, L=7 and E=9. Note that the value of Y can not be 6 as it makes L=8 and E=10 which is not possible. Hence, Y=5, N=1, P=2, L=7, E=9, H=0
Now, using trial-n-error or rather solving F*AY=PNH, we get F=6 and A=3.
5 6 5 Y F Y
----------- -----------
3 5 | 1 9 7 7 5 A Y | N E L L Y
| 1 7 5 | N L Y
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2 2 7 P P L
2 1 0 P N H
----------- -----------
1 7 5 N L Y
1 7 5 N L Y
----------- -----------
0 0 0 0 0 0
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Brain Teaser No : 00332
What are the next two numbers in the following series:
1, 1, 2, 6, 24, 20, 20, 40, 20, 80, ?, ?
Submitted by : Kevin
Answer
The next two numbers in the series are 00 and 00.
The patteren is - last 2 digits i.e. the units and tens digits of the factorial of the integers, starting from 0.
First number = 0! = 1
Second number = 1! = 1
Third number = 2! = 2
Fourth number = 3! = 6
Fifth number = 4! = 24
Sixth number = 5! = 120 = 20
Seventh number = 6! = 720 = 20
Eighth number = 7! = 5040 = 40
Nineth number = 8! = 40320 = 20
Tenth number = 9! = 362880 = 80
Eleventh number = 10! = 3628800 = 00
Twelveth number = 11! = 39916800 = 00
Hence, the next two numbers in the series are 00 and 00.
Also, note that all next numbers in the given series are 00.
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Brain Teaser No : 00420
Examine the following sequence of numbers.
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
What are the next two numbers in the given series?
Answer
The next two numbers are 13211311123113112211 and 11131221133112132113212221.
Each number is a detailed description of the previous number.
Second number describes first number as one one i.e. 11
Third number describes second number as two ones i.e. 21
Fourth number describes third number as one two, one one i.e. 1211
Fifth number describes fourth number as one one, one two, two ones i.e. 111221
Sixth number describes fifth number as three ones, two twos, one one i.e. 312211
Following the same, the next tow numbers are 13211311123113112211 and 11131221133112132113212221
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Brain Teaser No : 00016
At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?
Answer
4:21:49.5
Assume that X minutes after 4.00 PM minute hand exactly aligns with and hour hand.
For every minute, minute hand travels 6 degrees.
Hence, for X minutes it will travel 6 * X degrees.
For every minute, hour hand travels 1/2 degrees.
Hence, for X minutes it will travel X/2 degrees.
At 4.00 PM, the angle between minute hand and hour hand is 120 degrees. Also, after X minutes, minute hand and hour hand are exactly aligned. So the angle with respect to 12 i.e. Vertical Plane will be same. Therefore,
6 * X = 120 + X/2
12 * X = 240 + X
11 * X = 240
X = 21.8182
X = 21 minutes 49.5 seconds
Hence, at 4:21:49.5 minute hand is exactly aligned with the hour hand.
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Brain Teaser No : 00045
A class of 100 students. 24 of them are girls and 32 are not. Which base am I using?
Answer
Let the base be X.
Therefore
(X*X + X*0 + 0) = (2*X +4) + (3*X + 2)
X*X = 5*X + 6
X*X - 5*X -6 = 0
(X-6)(X+1) = 0
Therefore base is 6
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Brain Teaser No : 00067
Two planes take off at the same exact moment. They are flying across the Atlantic. One leaves New York and is flying to Paris at 500 miles per hour. The other leaves Paris and is flying to New York at only 450 miles per hour ( because of a strong head wind ).
Which one will be closer to Paris when they meet?
Answer
They will both be the same distance from Paris when they meet!!!
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Brain Teaser No : 00119
Next number in the series is 1, 2, 4, 13, 31, 112, ?
Answer
224
A tough one. But analyse the series carefully. No number has digits more than 4. So try to convert them to decimal numbers from base 5 numbers. (just try that) So it turns out to be:
1, 2, 4, 8, 16 , 32 , ?
Got it !!! Next number should be 64. But all numbers in actual series are base 5 numbers So convert 64 to base 5 and that is 224.
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