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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?


Options:
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: Option A
:
A and C

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:
1x=1,z=2,p=1
       Substituting these in (1)
       7+8 × 2+2=25.
       So option A is correct.
2x=2,y=2
       Substituting these in (1)
       7×2+85×2=24
       So option B is incorrect.
3x=1,y=2,z=1
       Substituting these in (1)
       7+5×2+8=25.
       So option C is correct.
4 Similarly substituting the values of option D. We will find number of people transported=26
 



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