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21 Jun 2022, 15:45
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25%
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78% (02:03) correct
22%
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wrong
based on 46
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The length of a blackboard is 7 cm more than its breadth. If the length is increased by 9 cm and breadth is decreased by 3 cm, then the area remains the same. What is the length and breadth of the blackboard (in cm) ?
(A) 13, 6
(B) 14, 7
(C) 15, 8
(D) 16, 9
(E) 17, 19
(A) 13, 6
(B) 14, 7
(C) 15, 8
(D) 16, 9
(E) 17, 19
21 Jun 2022, 20:31
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It’s a relatively simple question that has only one plane geometry concept involved.
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21 Jun 2022, 20:58
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Bunuel
The length of a blackboard is 7 cm more than its breadth. If the length is increased by 9 cm and breadth is decreased by 3 cm, then the area remains the same. What is the length and breadth of the blackboard (in cm) ?
(A) 13, 6
(B) 14, 7
(C) 15, 8
(D) 16, 9
(E) 17, 19
(A) 13, 6
(B) 14, 7
(C) 15, 8
(D) 16, 9
(E) 17, 19
E is wrong right out of the gate since length is supposed to be 7cm more than breadth.
Glance at A. We have 13*6. That's a multiple of 13. Our new numbers need to include a multiple of 13. 22 and 3 have no multiple of 13. A is wrong.
Glance at B. We have 14*7. That's a multiple of 7. Our new numbers need to include a multiple of 7. 23 and 4 have no multiple of 7. B is wrong.
C: We will go from 15*8 to 24*5...24 is 3x 8 and 15 is 3x 5...those are equivalent areas.
Answer choice C.
