Which of the following statements must be true? Options: A . &nbspIn the time period 1999 to 2002, if Rocky’s expenses on bus travel increased by maximum in 2000, then his expenses on bike increased by maximum in 2002. B . &nbspIf Rocky’s total travel expenses were highest in 1999, then his expenses on bus would not have decreased in 2000 when compared to 1999. C . &nbspIf the combined expenses on bike and car decreased from 2001 to 2002, then his expenses on bustravel would’ve also decreased from 2001 to 2002. D . &nbspIf Rocky’s total expenses increased by atleast 30% from 1998 to 2002, then his expenses on bike would have also increased from 1998 to 2002. E . &nbspNone of the above

Which of the following statements must be true?

Question

Which of the following statements must be true?

Options:

A . In the time period 1999 to 2002, if Rocky’s expenses on bus travel increased by maximum in 2000, then his expenses on bike increased by maximum in 2002.

B . If Rocky’s total travel expenses were highest in 1999, then his expenses on bus would not have decreased in 2000 when compared to 1999.

C . If the combined expenses on bike and car decreased from 2001 to 2002, then his expenses on bustravel would’ve also decreased from 2001 to 2002.

D . If Rocky’s total expenses increased by atleast 30% from 1998 to 2002, then his expenses on bike would have also increased from 1998 to 2002.

E . None of the above

Answer: Option D
:
D
d. If Rocky’s total expenses increased by ≥ 30% from 1998 to 2002, then his expenses on bike would’ve alsoincreased from 1998 to 2002 (the only confusion can rise in the years where the percentage is drpping from 25% to 20%)take the total expense in 1999=100 and the expense in 2000 =130. Then , the expense on bike is 25 and 26 respectively. Thus, there is a definite increase1. The percentage increase in expenses over the previous year on bus is highest in 2000, but thepercentage increase in expenses on Bike could’ve been highest in 1999, 2001 and 20022. The total expense is highest in 1999. But as the expense on bus as a percentage of total cost alsoincreases, we can’t be sure if the expense on bus has increased from 1999 to 20003. The total expense on bike and car has decreased, but then, the expense on bus can increase ordecrease.4. The total expenses increased from 1998 to 2002, and expense on bike increased also kept increasingcontinuously, this statement is definitely true.

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