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04 Jan 2020, 07:34
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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:
65%
(hard)
Question Stats:
61% (01:58) correct
39%
(02:17)
wrong
based on 276
sessions
History
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The ratio of Apples to Mangoes in a basket is 13:5, If 3 Mangoes are added and same number of Apples are removed from
the basket, the ratio of Mangoes to Apples becomes 1:2, How many Mangoes are there in the basket now?
a) 8
b) 15
c) 18
d) 36
e) 39
the basket, the ratio of Mangoes to Apples becomes 1:2, How many Mangoes are there in the basket now?
a) 8
b) 15
c) 18
d) 36
e) 39
04 Jan 2020, 21:55
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fauji
A quick method based on choices..
Initial number of mangoes is a multiple of 5, so look for choices which when subtracted by 3 give you a multiple of 3...Hence the units digit would be 5+3=8 or 0+3=3
Only A and C left...From 5 choices, just 2 left
8 : - M:A=1:2=8:16..M have been increased by 3 and A decreased by 3, so 8-3:16+3=\(5:19\neq{5:13}\)
18 : - M:A=1:2=18:36..M have been increased by 3 and A decreased by 3, so 18-3:36+3=\(15:39={5:13}\)
Actual method
A:M=13:5=13x:5x...M is increased by 3 and A decreased by 3, so 13x-3:5x+3=2:1.....13x-3=(5x+3)2=10x+6....3x=9...x=3
So number of mangoes after increase of 3 = 5x+3=5*3+3=18
C
11 Jan 2020, 20:50
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Approach:
Given:
-Ratio of Apples to Mangoes in a basket is 13:5
-If 3 Mangoes are added and same number of Apples are removed from
the basket, the ratio of Mangoes to Apples becomes 1:2
- Assume Apples and Mangoes in numbers be 13x and 5x
- Equation: \(\frac{(13x-3)}{(5x+3)} = \frac{2}{1}\)
- We get x = 3
So number of mangoes in the basket now: 5x+3 or 5*3+3 = 18
Option C
Given:
-Ratio of Apples to Mangoes in a basket is 13:5
-If 3 Mangoes are added and same number of Apples are removed from
the basket, the ratio of Mangoes to Apples becomes 1:2
- Assume Apples and Mangoes in numbers be 13x and 5x
- Equation: \(\frac{(13x-3)}{(5x+3)} = \frac{2}{1}\)
- We get x = 3
So number of mangoes in the basket now: 5x+3 or 5*3+3 = 18
Option C
