Question

A penalty in Meteor Mania and Cosmic Calamity are −$5$ seconds and −$6$ seconds respectively. David had penalties of −$20$ seconds in a game of Meteor Mania and those of −$24$ seconds in a game of Cosmic Calamity. Which among the following is true?

• A. David received more number of penalties inMeteor Mania
• B. David received more number of penalties in Cosmic Calamity.
• C. David received the same number of penalties in each game.
• D. The data is insufficient to conclude the number of penalties in each game.

Answer 1

The correct option is C David received the same number of penalties in each game.

Number of penalties received in Meteor Mania is equal to the division of total penalty ($-20\text{seconds}$) by one-time penalty ($-5\text{seconds}$), and it is
$=\frac{-20\text{seconds}}{-5\text{seconds}}$
$=4$

Number of penalties received in Cosmic Calamity is equal to the division of total penalty ($-24\text{seconds}$) by one-time penalty ($-6\text{seconds}$), and it is
$=\frac{-24\text{seconds}}{-6\text{seconds}}$
$=4$

$\therefore$ David received the same number of penalties in each game.

$\underset{–}{\text{Note:}}$ The division of integers with the same signs always gives a positive result