Question

If an SUV can transport 7 people, a car can transport 5, a jeep can transport 8 and an auto can transport 2 people, which of the following combinations can be used to exactly transport 25 people?

• A. 300US dollars
• B. 222 US dollars
• C. 180 US dollars
• D. 105 US dollars

Answer 1

Answer: (A), (C)

The correct options are
A

300US dollars

C

180 US dollars

Let the number of rounds done by SUV be $x$, car be $y$, jeep be $z$ and auto be $p$.
Thus the number of passengers transported will be $7x+5y+8z+2p$ .... (1)
Checking options respectively:
1$\to x=1,z=2,p=1$
Substituting these in (1)
7 + 8 $\times$ 2 + 2 = 25.
So option A is correct.
2$\to x=2,y=2$
Substituting these in (1)
7$\times$2 + 8 + 5$\times$2 = 24
So option B is incorrect.
3$\to x=1,y=2,z=1$
Substituting these in (1)
7 + 5$\times$2 + 8 = 25.
So option C is correct.
4$\to$ Similarly substituting the values of option D. We will find number of people transported = 26
So D is incorrect.