A jar contains four 1-cent coins, one 5-cent coin, and one 10-cent coi

Question

A jar contains four 1-cent coins, one 5-cent coin, and one 10-cent coin.

Quantity A   
   Quantity B   
 
  The number of different cent values that can be
created using one or more of the coins in the jar 
 20

Sajjad1994 · Answer

OE

Any amount from 1 cent to 19 cents can be created. Write out the possibilities.

Value:  
  Using:  
 
  1 to 4 cents 
 The four one-cent coins 
 
  5 cents 
 The five-cent coin 
 
  6 to 9 cents 
 The five-cent coin plus the four one-cent coins 
 
  10 cents 
 The 10-cent coin 
 
  11 to 14 cents 
 The ten-cent coin plus the four one-cent coins 
 
  15 cents 
 The 10-cent coin plus the five-cent coin 
 
  16 to 19 cents 
 The 10-cent coin plus the five-cent coin plus the four one-cent coins

The 19 cent value requires every coin in the jar, so 19 is the greatest possible value.

Therefore, the correct answer is (B): Quantity B is greater.

A jar contains four 1-cent coins, one 5-cent coin, and one 10-cent coi

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

Quantity A	Quantity B
The number of different cent values that can be created using one or more of the coins in the jar	20

Value:	Using:
1 to 4 cents	The four one-cent coins
5 cents	The five-cent coin
6 to 9 cents	The five-cent coin plus the four one-cent coins
10 cents	The 10-cent coin
11 to 14 cents	The ten-cent coin plus the four one-cent coins
15 cents	The 10-cent coin plus the five-cent coin
16 to 19 cents	The 10-cent coin plus the five-cent coin plus the four one-cent coins