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Source: Beat The GMAT — Data Sufficiency |
Male avg = am = 9.8
female avg = af = 9.1
no of male = nm
no of female = nf
nm / nf = ????????
A
nm = 52
Insuff
B:
(am * nm) + (af * nf)
--------------------- = 9.1
nm + nf
(9.8 * nm) + (9.1 * nf)
--------------------- = 9.1
nm + nf
2 unkown one equn
so Insuff
A+B
(9.8 * nm) + (9.1 * nf)
--------------------- = 9.1
nm + nf
and
nm = 52
solve for nf
and find ratio
so Ans IMO is C
female avg = af = 9.1
no of male = nm
no of female = nf
nm / nf = ????????
A
nm = 52
Insuff
B:
(am * nm) + (af * nf)
--------------------- = 9.1
nm + nf
(9.8 * nm) + (9.1 * nf)
--------------------- = 9.1
nm + nf
2 unkown one equn
so Insuff
A+B
(9.8 * nm) + (9.1 * nf)
--------------------- = 9.1
nm + nf
and
nm = 52
solve for nf
and find ratio
so Ans IMO is C
Here is no need to test each statement alone
Combining (1) and (2)
let m be the number of men, f - the number of women
we get
9,8m = summ of men's ages
9,1f = summ of women's ages
(9,8m+9,1f)/(m+f) = 9,3
soving we get
5m=2f
m/f = 2/5
C
Combining (1) and (2)
let m be the number of men, f - the number of women
we get
9,8m = summ of men's ages
9,1f = summ of women's ages
(9,8m+9,1f)/(m+f) = 9,3
soving we get
5m=2f
m/f = 2/5
C
Why C? You don't seem to have used stmt (1). Since only info from (2) is sufficient to get the desired ratio m/f, the OA should be B. Whats the OA?4meonly wrote:Here is no need to test each statement alone
Combining (1) and (2)
let m be the number of men, f - the number of women
we get
9,8m = summ of men's ages
9,1f = summ of women's ages
(9,8m+9,1f)/(m+f) = 9,3
soving we get
5m=2f
m/f = 2/5
C
-TheGenius
Ans is C because:
Setting up the equation for I is:
9.8x + 9.1y / 52 -- Not sufficient
Setting up the equation for II is:
9.8x + 9.1y / total = 9.1 -- Not sufficient
But with II using I
9.8x + 9.1y/52 = 9.1
Thus C
Setting up the equation for I is:
9.8x + 9.1y / 52 -- Not sufficient
Setting up the equation for II is:
9.8x + 9.1y / total = 9.1 -- Not sufficient
But with II using I
9.8x + 9.1y/52 = 9.1
Thus C
using statement b ONLY,
let # of male employees =m
# of female employees = f
9.8 m +9.1 f = 9.3(m+f)
0.5 m = 0.2 f
m/f =2/5 ratio know ,so why is the answer not B.
let # of male employees =m
# of female employees = f
9.8 m +9.1 f = 9.3(m+f)
0.5 m = 0.2 f
m/f =2/5 ratio know ,so why is the answer not B.
gmatguy16 wrote:using statement b ONLY,
let # of male employees =m
# of female employees = f
9.8 m +9.1 f = 9.3(m+f)
0.5 m = 0.2 f
m/f =2/5 ratio know ,so why is the answer not B.
OA: B
