Does the sum of the prices, not including sales tax, of three chairs

Question

Does the sum of the prices, not including sales tax, of three chairs exceed $600?

(1) The price of the most expensive chair exceeds $300.
(2) The price of the least expensive chair exceeds $200.

EgmatQuantExpert · Answer

Solution

To find:  
• Does the sum of the prices, excluding sales tax, of three chairs exceed $600 or not?

Analysing Statement 1  
• As per the information given in Statement 1, the price of the most expensive chair exceeds $300
 o From this, we don’t get any information about the prices of the other two chairs 
• Depending on the value of the other two chairs, the sum can be either less, equal or greater than $600
• Hence, Statement 1 is not sufficient to answer

Analysing Statement 2  
• As per the information given in Statement 2, the price of the least expensive chair exceeds $200
 o Assuming that this price is excluding sales tax, the price of the other two chairs must be more than $200 
• As all the chairs individually cost more than $200, the sum of their prices must be more than $600
• Hence, Statement 2 is sufficient to answer

Hence, the correct answer is Option B.

Answer: B

NonPlus · Answer

IMO B.

1) Most expensive chair exceeds $300, say it's $350. Other two chairs could have a total of $50 (total of $400) or $500(total of $850). Not Sufficient
2) Least expensive chair exceeds $200. Hence, other 2 chairs also exceeds $200 overshooting total of $600. Sufficient

DinkarDK · Answer

What if all the chairs are priced at 200$ ?
 In that case least value and max value would be same - 200$
and total would be 600$, which is not > than 600$

Please help clear my doubts.
thanks

EgmatQuantExpert · Answer

Hey DinkarDK You need to look at the given statement very carefully. It says " The price of the least expensive chair exceeds $200 ." As the price of the least expensive chair exceeds $200, the minimum value of the least expensive chair must be $200.x, where x > 0. Even if we assume the price of all 3 chairs are same, in that case the total price will be 3 * 200.x = 600 + 3 * 0.x, which is always more than 600 Hope this clarifies your doubt.

kapstone1996 · Answer

Question: is a + b + c > $600? Y/N, where a,b,c represent three different chains

1) C > $300, a + B = $100 or $1,000, so 2 different answers, Insufficient
2) A (least expensive) > $200, so can be $200.01 
which would mean at the very least $200.01 + $200.01 + $200.01 = $600.03 > $600.00 always yes, sufficient

Does the sum of the prices, not including sales tax, of three chairs

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