2623) it is
Mr. Red-Green
Mr. Blue-Red
Mr. Green-Blue
(because Mr red replies to the man wearing the blue sweater hence Mr red cant be wearing blue
1)A positive integer n is called “FLIPPANT†if n does not end in 0 (when written indecimal notation) and, moreover, n and the number obtained by reversing the digits of n are both divisible by 7. How many FLIPPANT integers are there between 10 and 1000 ?
2)Mr X was travelling in train one night.It was late,but he was not sleepy.A maths professor was sitting opposite him and they had been chatting for a while.Few minutes back the professor had questioned."there are three men.Can you tell me their ages if I tell you that they are together as old as you are and the product of their ages is 2450?"After thinking hard for some time,Mr X had replied,"no it is not possible".THe professor replied"of course it isnt.I know.But let me tell you,if I tell you that I am younger than the oldest of the men,you shall be able to find out their ages as well as mine."What is professors age?
3)Three men, Mr. Red, Mr. Blue and Mr. Green were having tea together. One of them was wearing a red sweater, another was wearing a blue one and the third man was wearing a green sweater. The man with the blue sweater says - “How strange it is that none of us is wearing a sweater of the same colour as our name.â€
Mr Red replies, “Yes. That’s certainly true!â€
Who is wearing what coloured sweater?
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4 Answers
113)Mr. Red-Blue
Mr. Blue-Green
Mr. Green-Red
or
Mr. Red-Green
Mr. Blue-Red
Mr. Green-Blue
262
111)FIRST CONSIDER FOR 3 DIGIT NO.
100a+10b+c=7k1
100c+10b+a=7k2
subtracting,
99(a-c)=7(k1-k2)
now, 7& 99 are coprimes,so7|99
but max(a-c)=9,so a-c=7 or a=c here.
we get
a=8 & c=1 or a=9 & c=2
so we get 168,861,,952,259
from a=c we get 161,252,343,434,525,616,686,777,868,959.
THEN CONSIDER FOR 2 DIGIT NO.
10a+b=7p
10b+a=7q
subtracting,
9(a-b)=7(p-q)
here 81 & 92 is not divisible by 7
so the only 2 digit such no. is 77(when a=b)
so total no of FLIPPANT is 15
11mathematically speaking the professor have his age between 245 & 98
but if u assume that the man has no such life span like a tortoise then his age is between 98 & 70.
