Question
How many people have birthdays before
S? Study the following information carefully and answer the given questions. Eight persons M, N, O, P, Q, R, S and T have their birthdays on different months of the year viz. January, April, May and July, such that not more than two persons have their birthdays in the same months. All the birthdays are either on 14th or 23rd of the month. No two persons have their birthdays on the same day of the same month. The following information is also known about them. R does not have birthday in May. Q wasn’t born in July. T’s birthday is immediately after N’s. Q celebrates his birthday before N. The number of persons who have their birthdays between the birthdays of S and T is equal to the number of persons who have their birthdays between the birthdays of N and P. P was born in July. Birthdays of both Q and N are in the same month. There are three birthdays between the birthdays of R and O. S celebrates his birthday before T.Solution
P was born in July. Q’s birthday is before N. Q wasn’t born in July. Birthdays of both Q and N are in the same month. Therefore, both Q and N may have their birthdays in January, April or May. 
T’s birthday is immediately after N’s. The number of persons who have their birthdays between the birthdays of S and T is equal to the number of persons who have their birthdays between the birthdays of N and P. If N’s birthday is on 23 rd May or on 23 rd January, then as shown in figure, the condition of the equal no. of birthdays between S and T, and N and P won’t be met.(refer to the below table) 
The number of persons who have their birthdays between the birthdays of S and T is equal to the number of persons who have their birthdays between the birthdays of N and P. R does not have birthday in May. There are three birthdays between the birthdays of R and O. Now there are two possible dates for P’s birthday u.q. 14th July and 23rdJuly. First let us assume P's birthday on 14th July- 
But, the condition that there are three birthdays between the birthdays of R and O wouldn’t be met in the above arrangement. Therefore, assuming P’s birthday is on 23rd July and redrawing the table, we get- 
A sum of money is divided among P, Q, R and S in the ratio of 5:6:10:11 respectively. If the share of R's is Rs. 2440 more than the share of Q, then wha...
A bag contains Re 1 and 50 paise coins in the ratio 2 : 3. While the ratio of 50 paise and 25 paise is 4:5. If the total value of these coins is Rs 177....
A sum of Rs.9600 is to be divided among 4 brothers, 3 sisters and 2 aunts. If each sister receives twice as much as each aunt and each brother receives ...
If x runs are second by Rohit, y runs by Shreyas and z runs by Virat, then x : y = y : z = 5:4. If total number of runs scored by Rohit, Shreyas and Vir...
The value of 'A' is directly proportional to the value of 'B'. When 'A' equals 25, 'B' is 40. Using this relationship, determine the value of 'A' when ...
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 2 : 4 : 6 : 7. if the loss i...
If A : B = 7:5 and A is 14 more than B then find the sum of A and B.
Rs. 23942 are divided between A and B in the ratio 3:7. What is the difference between thrice the share of A and twice the share of B?
The ratio of heartbreak to emotions is 2:3:4:5 The price of heart is inversely proportional to the square of emotions. If there is a loss of Rs 1420 due...
Two numbers are in the ratio 5 ∶ 9. If each number is decreased by 8, the ratio becomes 1 ∶ 3. The numbers are:
Relevant for Exams:
