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28 Apr 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
75% (02:54) correct
25%
(02:48)
wrong
based on 169
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Rahul has a sum of Rs 340 in the denomination of Rs 2 coins and Rs 5 coins only. If the number of Rs 5 coins is more than Rs 2 coins, then what can be the maximum possible number of coins?
A. 91
B. 93
C. 95
D. 97
E. 99
A. 91
B. 93
C. 95
D. 97
E. 99
Updated on: 28 Apr 2025, 01:10
Originally posted by ManifestDreamMBA on 28 Apr 2025, 00:57.
Last edited by ManifestDreamMBA on 28 Apr 2025, 01:10, edited 1 time in total.
Last edited by ManifestDreamMBA on 28 Apr 2025, 01:10, edited 1 time in total.
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Let denomination of Rs 2 coins and Rs 5 coins be x and y
y>x
2x+5y = 340
Note, y should be even as 2x and 340 are even
To have max coins, we need to max x with the constraints. meaning x is close to y, just a bit small
If x=y then 7x = 340 = ~48. Let's use this to identify x and y
If y = 48, x = (340 -240)/2 = 50
But y>x
If y = 50, x = (340-250)/2 = 45
Total = 95
y>x
2x+5y = 340
Note, y should be even as 2x and 340 are even
To have max coins, we need to max x with the constraints. meaning x is close to y, just a bit small
If x=y then 7x = 340 = ~48. Let's use this to identify x and y
If y = 48, x = (340 -240)/2 = 50
But y>x
If y = 50, x = (340-250)/2 = 45
Total = 95
Bunuel
28 Apr 2025, 01:01
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2x + 5y = 340
{170, 0}
{165, 2}
{160, 4}
{155, 6}
{150, 8}
{145, 10}
{140, 12}
{135, 14}
{130, 16}
{125, 18}
{120, 20}
{115, 22}
{110, 24}
{105, 26}
{100, 28}
{95, 30}
{90, 32}
{85, 34}
{80, 36}
{75, 38}
{70, 40}
{65, 42}
{60, 44}
{55, 46}
{50, 48}
{45, 50}
Maximum coilds = 50+45 = 95
Answer: Option C
Reference question: https://gmatclub.com/forum/if-a-line-wh ... 40113.html
Related Video:
think like this that x ≈ y
i.e. 7x ≈ 340
i.e. x ≈ 50
so you can reach values {45, 50}
otherwise (to learn) Possible solutions arei.e. 7x ≈ 340
i.e. x ≈ 50
so you can reach values {45, 50}
{170, 0}
{165, 2}
{160, 4}
{155, 6}
{150, 8}
{145, 10}
{140, 12}
{135, 14}
{130, 16}
{125, 18}
{120, 20}
{115, 22}
{110, 24}
{105, 26}
{100, 28}
{95, 30}
{90, 32}
{85, 34}
{80, 36}
{75, 38}
{70, 40}
{65, 42}
{60, 44}
{55, 46}
{50, 48}
{45, 50}
Maximum coilds = 50+45 = 95
Answer: Option C
Reference question: https://gmatclub.com/forum/if-a-line-wh ... 40113.html
Related Video:
Bunuel
