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17 Jun 2021, 07:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:41) correct
36%
(02:50)
wrong
based on 125
sessions
History
Date
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If (a – b) : (b – c) : (c – d) : (d – e) = 1 : 2 : 3 : 6, then what is the value of (a + e)/d ?
(A) 2/7
(B) 2/5
(C) 3/5
(D) 2/3
(E) 2/1
(A) 2/7
(B) 2/5
(C) 3/5
(D) 2/3
(E) 2/1
17 Jun 2021, 09:41
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Bunuel
If (a – b) : (b – c) : (c – d) : (d – e) = 1 : 2 : 3 : 6, then what is the value of (a + e)/d ?
(A) 2/7
(B) 2/5
(C) 3/5
(D) 2/3
(E) 2/1
(A) 2/7
(B) 2/5
(C) 3/5
(D) 2/3
(E) 2/1
As we are talking of ratios, let us assume some values for each.
(a – b) : (b – c) : (c – d) : (d – e) = 1 : 2 : 3 : 6
Let the common ratio be 1, so
If e is 0, d-e=6 or d=6
c-d=3, so c=9
b-c=2, so b=12
a-b=1, so a=12
\(\frac{a-e}{d}=\frac{12-0}{6}=\frac{2}{1}\)
E
General Discussion
18 Jun 2021, 00:32
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Let a-b=x, so b = a-x
b-c=2x, so c = b - 2x
c-d=3x so d = c-3x
d-e=6x so e = d-6x
e = d-6x = c-3x-6x = b-2x-9x = a-x-11x = a-12x
d = c-3x = b - 2x-3x = b-5x = a-x-5x = a-6x
(a+e) / d = (a + a -12x)/a-6x = 2a-12x/a-6x = 2(a-6x)/a-6x = 2/1
Answer is E.
b-c=2x, so c = b - 2x
c-d=3x so d = c-3x
d-e=6x so e = d-6x
e = d-6x = c-3x-6x = b-2x-9x = a-x-11x = a-12x
d = c-3x = b - 2x-3x = b-5x = a-x-5x = a-6x
(a+e) / d = (a + a -12x)/a-6x = 2a-12x/a-6x = 2(a-6x)/a-6x = 2/1
Answer is E.
