Question

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

• A. Two rounds of jeep, one round of SUV and one round of auto.
• B. 2 rounds of SUV, 2 rounds of car
• C. One round of SUV and jeep each, two rounds of car
• D. Three rounds of car, two rounds of SUV and on round of jeep

Answer 1

Answer: (A), (C)

One round of SUV and jeep each, two rounds of car

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$2+85$\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