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I, J, K, L, M and N have their birthdays in different months- January, February, April, July, August and December but not necessarily in the same order. Two people have birthday between N and J’s birthday. M’s birthday is not in the second half of the year. The birthday of N is either in January or August. K’s birthday falls in month having minimum number of days. At the most three people have birthdays between N and I’s birthday. Which of the following statement is true?

I, J, K, L, M and N have their birthdays in different months- January, February, April, July, August and December but not necessarily in the same order. Two people have birthday between N and J’s birthday. M’s birthday is not in the second half of the year. The birthday of N is either in January or August. K’s birthday falls in month having minimum number of days. At the most three people have birthdays between N and I’s birthday. Which of the following statement is true? Correct Answer L’s birthday is in December.

Member: I, J, K, L, M and N.

Month: January, February, April, July, August and December.

1. The birthday of N is either in January or August.

2. Two people have birthday between N and J’s birthday.

3. M’s birthday is not in the second half of the year.

Month

Person

Case I

Case II

January

N

 

February

 

 

April

 

J

July

J

M

August

M

N

December

M

M

 

4. K’s birthday falls in month having minimum number of days.

(So, K’s birthday falls in February.)

5. At the most three people have birthdays between N and I’s birthday.

(Case II will be eliminated as it doesn’t satisfy point 5.)

(I’s birthday falls in August refer to point 5 and only one month left for L’s birthday i.e. December.)

Month

Person

January

N

February

K

April

M

July

J

August

I

December

L

 

1) I’s birthday is in January → false.

2) K’s birthday is succeeded by N → false.

3) L’s birthday is in December → true.

4) N’s birthday is in February → false.

Hence, ‘L’s birthday is in December’ is the correct statement.

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