Question

In a cricket team, the ratio of the total number of players to the number of wicket keepers is
(a) 1:11
(b) 11:1
(c) 16:1
(d) 10:1

Answer 1

Hint: In this question, first of all, try to recollect the setting of a cricket team and the number of players and cricket keepers in it. Now, divide these values in the given order to get the required ratio.

Complete step-by-step answer:
Before proceeding with the question, let us see what ratio is and what cricket team consists of.
Ratio: In mathematics, ratio tells us how many times one contains another. This is found by dividing two or more values of whose ratio we need to find. For example, if we have 10 balls and 5 bats, the ratio of the balls to the bats would be \[\dfrac{\text{No}\text{.of balls}}{\text{No}\text{.of bats}}=\dfrac{10}{5}=\dfrac{2}{1}=2:1.\] Thus, signifies that the number of balls is twice the number of bats and read as 2 ratios 1.
Now, let us see what cricket is. Cricket is basically a bat and ball game that is played between two teams in the field. Each team consists of 11 players in which there are 5 batsmen, 5 bowlers and 1 wicketkeeper. This is the general setting though the number of batsmen and bowlers could change.
Now, let us consider our question. Here, we need to find the ratio of the total number of players to the number of wicket keepers in a cricket team. So, we have seen that the total number of players in a cricket team = 11 players.
Also, the total number of wicket keepers in a cricket team = 1.
So, we get, the required ratio of the total number of players to the wicket keepers as \[\dfrac{\text{No}\text{.of total players}}{\text{No}\text{.of total wicket keepers}}.\]
By substituting the value of the total number of players and wicket-keepers, we get, the required ratio of the total number of players to the wicket keepers as \[\dfrac{11}{1}=11:1.\]
Hence, option (b) is the right answer.

Note: In the questions involving the ratios, the order is very important, students must note that \[a:b\ne b:a\] if \[a\ne b.\] So, they must take care of what is the preceding value and what is the succeeding value. In this question, students often make this mistake of marking option (a) which is 1:11 which is wrong because we were asked the value of the total players to the wicket keepers and not the value of the wicket keepers to the total players.