Answers to Puzzles

Decode Online Banking PIN

George forgot his online banking PIN, which is a 5 digit number.
But luckily he remembered some hints on how to recall his PIN.

What is the PIN?
Explanation:

From the hints,
Only two options for 1st and 2nd digits => 4,2 and 9,3 since it is single digits
Sum of second and third digit  = 10 
If 2 => 3rd digit = 8
If 3 => 3rd digit = 7
4th digit = 2nd digit + 1 => (2+1 =3) or (3+1 = 4)
Sum of all digits = 30
Let 5th digit be x
=> 1st possibility = 4 + 2 + 8 + 3 + x = 30 => x = 13 (Not possible since it has 2 digits)
=> 2nd possibility = 9 + 3 + 7 + 4 + x = 30 => x = 7
Therefore, the PIN is 93747 
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Guess the missing number
Answer: B) 15

Explanation:


The puzzle's logic is
1st figure : (9-7) + (8-5) = 2 + 3 = 5
2nd figure : (15-6) + (11-2) = 9 + 9 = 18
similarly, 3rd figure : (9-6) + (17-5) = 3 + 12 = 15.
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How tall is the table?
Answer: B) 150 cm

Explanation:

Let the heights of Cat, Table and Turtle be C, T & R respectively.
From the above given figure,
C + T - R = 170 ......(a)
R + T - C = 130 ......(b)

Adding above eqns (a) & (b), we get
 2T = 300
 T = 150 cm

Hence, the height of the table is 150 cm.
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Find out the money in the bag
He put 1p, 2p, 4p and 8p in the four bags.
Any sum from 1p to 15p can be made with these amounts.
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Chocolate
He bought 13 choc bars and 9 fruit bars,
or 4 choc bars and 22 fruit bars.



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