Dear Reader, Below are three sample questions dealing with arrangements and equation solving.

Question 1

Six persons namely Raj, Dinesh, Vijay, Aravind, Vivek and Praveen are standing in a queue to get a train ticket in a railway station. Raj is standing between Vivek and Praveen. Praveen is ahead of Dinesh and Vivek is standing behind Aravind. Vijay is standing behind Dinesh. Due to closing time at the ticket counter, they will give tickets only to the first four persons. Who will not get the tickets?

a) Dinesh and Vivek b) Praveen and Vivek c) Dinesh and Vijay d) Praveen and Vijay

Answer : c) Dinesh and Vijay

Solution :

Going by the data in the question, the resulting arrangement will be :

Aravind	 Vivek	  Raj	 Praveen    Dinesh    Vijay.

Since the first four person will only get the tickets, Dinesh and Vijay will not get the tickets.

Question 2

In a conference hall 60 members are seated in a row where women are twice that of men. If Naveen is seated seventeenth from the top and if there are 9 women are seated before Naveen, then how many men are seated after him?

a) 12 b) 17 c) 8 d) 9

Answer : a) 12

Solution :

Given that number of men = 2 * (number of women)
Let the number of men be X and the number of women be 2X.
Then X + 2X = 60
X = 20
i.e., Number of men seated = X = 20 and number of women seated = 2X = 40.
Number of persons seated after Naveen = 60 – 17 = 43 -> eq (1)
Its given in the question that, Number of women seated before Naveen = 9
Then, Number of women seated after Naveen = Total number of women - 9 = 40 – 9 =31 -> eq (2)

Number of men seated after Naveen = Number of persons seated after Naveen - Number of women seated after Naveen
From eq (1), Number of persons seated after Naveen = 43 and
From eq (2), Number of women seated after Naveen = 31
Therefore Number of men seated after Naveen = 43 – 31 = 12

Question 3

In a one day cricket match between India and Australia, India wins the match due to well played players (Dhoni, Tendulkar, Sehwag, Yuvaraj, Kholi and Raina). Dhoni scored more runs than Raina but not more than Tendulkar. Tendulkar scored less runs than Sehwag and Yuvaraj scored more runs than Sehwag. Kholi scored not more than Raina. Then who will get the man of the match award in that game?

a) Tendulkar b) Sehwag c) Yuvaraj d) Dhoni

Answer : c) Yuvaraj

Solution :

By the given data, the scores of the players are arranged in descending order as follows

Yuvaraj     Sehwag    Tendulkar    Dhoni   Raina   Kholi

Therefore, Yuvaraj scored more runs when compared to other players.
So, Yuvaraj will get the man of the match award in that game.