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08 Apr 2026, 19:00
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Difficulty:
55%
(hard)
Question Stats:
53% (01:45) correct
47%
(01:45)
wrong
based on 75
sessions
History
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At a print shop, premium brochures cost $14 each and standard flyers cost $9 each. For an event, Nora ordered only premium brochures, and Eli ordered only standard flyers. How many premium brochures did Nora order?
(1) If Nora had ordered as many premium brochures as Eli ordered standard flyers, Nora’s order would have cost $45 more than Eli’s order.
(2) If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered, her total cost would have been $35 less.
(1) If Nora had ordered as many premium brochures as Eli ordered standard flyers, Nora’s order would have cost $45 more than Eli’s order.
(2) If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered, her total cost would have been $35 less.
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16 Apr 2026, 01:45
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GMAT Club Official Solution:
At a print shop, premium brochures cost $14 each and standard flyers cost $9 each. For an event, Nora ordered only premium brochures, and Eli ordered only standard flyers. How many premium brochures did Nora order?
Let p be the number of premium brochures Nora ordered, and let s be the number of standard flyers Eli ordered.
Then Nora’s total cost was 14p dollars, and Eli’s total cost was 9s dollars.
(1) If Nora had ordered as many premium brochures as Eli ordered standard flyers, Nora’s order would have cost $45 more than Eli’s order.
If Nora had ordered as many premium brochures as Eli ordered standard flyers, then that hypothetical order would have cost 14s dollars, while Eli’s actual order cost 9s dollars.
So (1) gives:
14s - 9s = 45
s = 9
This determines only how many standard flyers Eli ordered. It does not determine p. Not sufficient.
(2) If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered, her total cost would have been $35 less.
If Nora had ordered standard flyers instead, in the same quantity, then her cost would have been 9p dollars instead of 14p dollars.
So (2) gives:
14p - 9p = 35
p = 7
This determines the number of premium brochures Nora ordered. Sufficient.
Answer: B.
At a print shop, premium brochures cost $14 each and standard flyers cost $9 each. For an event, Nora ordered only premium brochures, and Eli ordered only standard flyers. How many premium brochures did Nora order?
Let p be the number of premium brochures Nora ordered, and let s be the number of standard flyers Eli ordered.
Then Nora’s total cost was 14p dollars, and Eli’s total cost was 9s dollars.
(1) If Nora had ordered as many premium brochures as Eli ordered standard flyers, Nora’s order would have cost $45 more than Eli’s order.
If Nora had ordered as many premium brochures as Eli ordered standard flyers, then that hypothetical order would have cost 14s dollars, while Eli’s actual order cost 9s dollars.
So (1) gives:
14s - 9s = 45
s = 9
This determines only how many standard flyers Eli ordered. It does not determine p. Not sufficient.
(2) If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered, her total cost would have been $35 less.
If Nora had ordered standard flyers instead, in the same quantity, then her cost would have been 9p dollars instead of 14p dollars.
So (2) gives:
14p - 9p = 35
p = 7
This determines the number of premium brochures Nora ordered. Sufficient.
Answer: B.
General Discussion
09 Apr 2026, 06:34
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This Data Sufficiency question is testing whether you can set up equations from hypothetical scenarios — and the trap is that Statement (1) gives you a real number, but it's the wrong number.
Let p = premium brochures Nora actually ordered, and e = standard flyers Eli actually ordered.
1. Evaluate Statement (1). "If Nora had ordered as many premium brochures as Eli ordered standard flyers" means Nora hypothetically orders e brochures (not p).
Her hypothetical cost = 14e.
Eli's actual cost = 9e.
"Nora's order would have cost $45 more than Eli's" gives: 14e = 9e + 45, so 5e = 45, e = 9.
We now know Eli ordered 9 flyers. But p — Nora's actual quantity — is still completely unknown. NOT sufficient.
2. Evaluate Statement (2). "If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered" means hypothetically Nora buys p flyers.
Her hypothetical cost = 9p.
Her actual cost = 14p.
"$35 less" means: 9p = 14p - 35, so 5p = 35, p = 7.
Sufficient.
Answer: B.
The trap in Statement (1) is real — you get a clean answer (e = 9) and it feels like you've solved something. A lot of people mark AD or D here because the equation-solving part went so smoothly. But the question is asking for p, and Statement (1) gives you zero information about p. Always double-check which variable you actually solved for in DS.
Let p = premium brochures Nora actually ordered, and e = standard flyers Eli actually ordered.
1. Evaluate Statement (1). "If Nora had ordered as many premium brochures as Eli ordered standard flyers" means Nora hypothetically orders e brochures (not p).
Her hypothetical cost = 14e.
Eli's actual cost = 9e.
"Nora's order would have cost $45 more than Eli's" gives: 14e = 9e + 45, so 5e = 45, e = 9.
We now know Eli ordered 9 flyers. But p — Nora's actual quantity — is still completely unknown. NOT sufficient.
2. Evaluate Statement (2). "If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered" means hypothetically Nora buys p flyers.
Her hypothetical cost = 9p.
Her actual cost = 14p.
"$35 less" means: 9p = 14p - 35, so 5p = 35, p = 7.
Sufficient.
Answer: B.
The trap in Statement (1) is real — you get a clean answer (e = 9) and it feels like you've solved something. A lot of people mark AD or D here because the equation-solving part went so smoothly. But the question is asking for p, and Statement (1) gives you zero information about p. Always double-check which variable you actually solved for in DS.
