If a/b = 19/3, b/c = 15/26, c/d = 13/19, e/f = 7/117 and d/e = 19/25 then what is the value of (abc/

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01 Aug 2018 Fraction

If a/b = 19/3, b/c = 15/26, c/d = 13/19, e/f = 7/117 and d/e = 19/25 then what is the value of (abc/def)*5 ?

OPtion

1) 1
2) 1/2
3) 1/3
4) 7/225
5) 11/60
6) 5/60
7) 8/60
8) 7/60
9) 8/45
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = 5/2
b/e = (b/c)*(c/d)*(d/e) = 3/10
c/f = (c/d)*(d/e)*(e/f) = 7/225

So 5*abc/def = 5*(a/d)*(b/e)*(c/f) = 5*(5/2) *(3/10) * (7/225) = 7/60

Option 8)

Correct Option: 8 Best Solution (10)

G.S.Kantharao   6 years AGO

ABC=(19*15*13)BCD/(3*26*19)=(5/2)BCD
DEF=(19*25*117)*CDE/(13*19*25)=(225/7)CDE
225CDE/7
(B/C*C/D*D/E)
=B/E=(15*13*19)/(26*19*25)
=3/10
E=10B/3
(225/7)CDE=(225/7)(10/3)BCD
=(750/7)BCD
(ABC/DEF)*5=(5/2×7/750*5/1)
=7/60
Hence Right option is 8👈

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ruby   6 years AGO

a/d = a/b*b/c*c/d = 19/3*15/26*13/19 = 5/2
b/e = b/c*c/d*d/e = 15/26*13/19*19/25 = 3/10
c/f = c/d*d/e*e/f = 13/19*19/25*7/117 = 7/225
abc/def*5 = a/d*b/e*c/f *5 = 5/2*3/10*7/225 * 5
= 7/60
HENCE OPTION 8

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SAYAN CHATTERJEE   6 years AGO

We express all the terms in terms of b
And and/def becomes
19*26*13*15*19*13*15*7*19*13*15/(3*15*19*26*25*19*26*117*25*19*26)*5
= 7/60.
Option 8.

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Ranganathan   6 years AGO

c/d*d/e = c/e - - - >1
b/c*c/d = b/d - - - ->2
a/b*b/c*c/d*e/f*d/e= a/f - - >3
1*2*3 ==>7/60

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ARINJOY GHOSH   6 years AGO

(abc/def)*5=a/d *b/e*c/f*5=a/b*b/c*c/d*b/c*c/d*d/e*c/d*d/e*e/f*5=a/b*(b/c)^2*(c/d)^3*(d/e)^2*e/f*5=19/3*15/26*15/26*13/19*13/19*13/19*19/25*19/25*7/117*5=7/300*5=7/60
Ans. option (8)

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Kariamal   6 years AGO

a=492765
b=77805
c=134862
d=197106
e=259350
f=4334850
(abc/def)*5=7/60

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Supriya Chavan   6 years AGO

from given data we get,
a=19/3b
b=15/26c
c=13/19d
e=7/117f
d=19/25e
on solving this we get,
a/d=5/2
b/e=3/10
c/f=7/225
(abc/def)*5=(a/d)*(b/e)*(c/f)*5
= 7/60

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ayush kedia   6 years AGO

a/f=133/1170
b/d=15/26*13/19
c/e=13/19*19/25
so (abc/def)*5=7/60

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akhila   6 years AGO

From the given values,(abc/def)*5=?
If we write numarater value interms of denominator i.e.,a interms of d,b interms of e,c interms of d then cancel possible ones atlast you get an answer as 7/60

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BHARATHI S   6 years AGO

a/b=19/3---->(1)
b/c=15/26---->(2)
c/d=13/19---->(3)
e/f=7/117---->(4)
d/e=19/25---->(5)
(abc/def)*5=x

(1)*(2)*(3)=a/d--->(6)
(2)*(3)*(5)=b/e---->(7)
(3)*(4)*(5)=c/f----->(8)
(6)*(7)*(8)=abc/def
x=5*19/3*15/26*15/26*13/19*13/19*13/19*7/117*19/25*19/25
x=7/60

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