DEPARTMENT OF MATHEMATICS
RAMANUJAN MORGANS MATH CLUB
Decode the statements
i) NHHS BRXU IULHQGV
FORVH DQG BRXU
HQHPLHV FORVHU

ii)
HVAIEA
AENCDY
i) KEEP YOUR FRIENDS CLOSE AND
YOUR ENEMIES CLOSER
Giving Numerical values to the alphabets
starting from zero and skipping three letters
we get the sentence.
ii) HAVE A NICE DAY

5 22 5 18 25 19 17 21 1 18 5 13 1 20 18 9 24
19 1 20 9 19 6 9 5 19 9 20 19 15 23 14
3 8 1 18 1 3 20 5 18 9 19 20 9 3
5 17 21 1 20 9 15 14
(One quote is behind those numbers, find it)
EVERY
SQUARE
MATRIX SATISFIES
ITS OWN
CHARACTERISTIC
EQUATION.
Can you work out what Charlie's number is from these
clues?
C1: Charlie's number is palindromic, the second and
third numbers are different.
C2: Charlie's number is greater than 100 and is prime.
C3: Charlie's number is odd. The difference between
the largest and smallest digits is 5.
C4: Charlie's number is less than 1000. The sum of the
digits is 14.
C5: Charlie's number is not divisible by 3. It is less than
500.
C6: Charlie's number is a whole number with only two
divisors.

We know from clues C2 and C5 that Charlie's number is
somewhere between 100-500.
It is palindromic, so the first number and the last number
must be the same, but the middle number is different.
Because it is an odd number, the last digit cannot be 2 or 4.
This leaves 1 or 3.
If the first and last digits were both 1, then the middle digit
would have to be 12 for them to add up to 14, which isn't
allowed. Therefore the first and last digit must be 3 and the
middle digit must be 8.
Just to check,383 is a prime number and the difference
between 3 and 8 is 5, so this is definitely the right answer.
Finals
Can you arrange 5 different digits (from 0 to 9) in the cross so that
i) the total of the 4 outside numbers is equal to
the middle number
ii) the top 2 numbers multiplied together are
also equal to the middle number
iii) the sum of the 3 numbers forming a diagonal
is equal to the other 3 numbers forming the
other diagonal.
Raji had a pack of twenty cards numbered from 1 to 20.
She arranged the cards into six unequal piles.
The numbers on the cards in each pile added to the same total.
What was the total and how could this be done?
i) 20,15
1,2,3,4,5,9,11
18,17
10,13,12
19,16
6,7,8,14
ii)20,15
1,14,11,9
10,19,6
3,4,12,16
17,13,5
2,7,8,18
Qn :006
 THE
FIRST CIA
HEADQUARTERS
BUILDING IN 1947 WAS
LOCATED AT 2430 E
STREET, NW IN
WASHINGTON