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Mantrix
Joined: 13 May 2023
Last visit: 19 Nov 2025
Posts: 163
Given Kudos: 34
Location: India
Schools: MiM '26 HEC MiM '26 ESSEC MiM '26 (I) Imperial (I) IESE
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GPA: 9
Schools: MiM '26 HEC MiM '26 ESSEC MiM '26 (I) Imperial (I) IESE
GMAT Focus 2: 625 Q81 V82 DI80
Posts: 163
23 Dec 2024, 11:28
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It's a Sets Question
I solve it usually by Matrix Method
I solve it usually by Matrix Method
Attachments
File comment: Solve it by Matrix Method
WhatsApp Image 2024-12-23 at 23.55.51_29b71930.jpg [ 2.12 MiB | Viewed 564 times ]
23 Dec 2024, 11:49
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Don't Know whether it is right approach or not..
(1) Half of the units exported yesterday were product A, and one-third of the units exported yesterday were exported to countries other than Country X.
This is not sufficient as we cannot have a clear value
(2) Yesterday, there were twice as many units of product A exported to Country X as there were units of B( let this be Y) exported to other countries.
This is not sufficient as we cannot have a clear value
Combining both the statements, we get value of products B exported to X = 100/200=1/2
hence sufficient
| Product A | Product B | ||
| Export to country X | |||
| Exports to country other than X | |||
| 300 |
(1) Half of the units exported yesterday were product A, and one-third of the units exported yesterday were exported to countries other than Country X.
| Product A | Product B | ||
| Export to country X | 200 | ||
| Exports to country other than X | 100 | ||
| 150 | 150 | 300 |
This is not sufficient as we cannot have a clear value
(2) Yesterday, there were twice as many units of product A exported to Country X as there were units of B( let this be Y) exported to other countries.
| Product A | Product B | ||
| Export to country X | 2Y | ||
| Exports to country other than X | Y | ||
| 300 |
This is not sufficient as we cannot have a clear value
Combining both the statements, we get value of products B exported to X = 100/200=1/2
hence sufficient
Bunuel
23 Dec 2024, 11:51
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C
[*]A: Number of units of product A exported.
[*]B: Number of units of product B exported.
[*]AX: Number of units of A exported to Country X
[*]BX: Number of units of B exported to Country X
A + b = 300
(1) Half of the units exported yesterday were product A, and one-third of the units exported yesterday were exported to countries other than Country X.
A = 300/2 = 150, B = 300 - A = 150
Units to other countries = 300/3 = 100
units to X = 300-100 = 200
Ax + Bx = 200, A - Ax + B - Bx = 100
150 - Ax + 150 - Bx = 100
300 - (Ax + Bx) = 100
Ax + Bx = 200
Insufficient
(2) Yesterday, there were twice as many units of A exported to Country X as there were units of B exported to other countries
Let Bo be the units of B exported to otehr countries
Ax = 2 Bo
we know that
Ax + Bx = 200, A-Ax+B-Bx = 100
from A =150, B =150 and Ax = 2Bo
150 - Ax + 150 - Bx = 100
300 - (Ax + Bx) = 100
Ax + Bx = 200
Ax = 2Bo
2Bo + Bx = 200
We also know that, B-Bx = Bo
150 - Bx = Bo
Bx = 150 - Bo
substitute Bx = 150 - Bo into 2Bo + Bx = 200
we get Bo = 50
Bx = 150 - Bo
Bx = 100
Bx/B = 100/150 = 1/3
insufficient alone, But (1) and (2) together are sufficient
[*]A: Number of units of product A exported.
[*]B: Number of units of product B exported.
[*]AX: Number of units of A exported to Country X
[*]BX: Number of units of B exported to Country X
A + b = 300
(1) Half of the units exported yesterday were product A, and one-third of the units exported yesterday were exported to countries other than Country X.
A = 300/2 = 150, B = 300 - A = 150
Units to other countries = 300/3 = 100
units to X = 300-100 = 200
Ax + Bx = 200, A - Ax + B - Bx = 100
150 - Ax + 150 - Bx = 100
300 - (Ax + Bx) = 100
Ax + Bx = 200
Insufficient
(2) Yesterday, there were twice as many units of A exported to Country X as there were units of B exported to other countries
Let Bo be the units of B exported to otehr countries
Ax = 2 Bo
we know that
Ax + Bx = 200, A-Ax+B-Bx = 100
from A =150, B =150 and Ax = 2Bo
150 - Ax + 150 - Bx = 100
300 - (Ax + Bx) = 100
Ax + Bx = 200
Ax = 2Bo
2Bo + Bx = 200
We also know that, B-Bx = Bo
150 - Bx = Bo
Bx = 150 - Bo
substitute Bx = 150 - Bo into 2Bo + Bx = 200
we get Bo = 50
Bx = 150 - Bo
Bx = 100
Bx/B = 100/150 = 1/3
insufficient alone, But (1) and (2) together are sufficient
Bunuel
