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  1. If 4 men or 8 women can do a piece of work in 15 days, in how many days can 6 men and 12 women do the same piece of work ?
    1. 20 days
    2. 45 days
    3. 15 days
    4. 30 days
    5. None of these
Correct Option: E

4 men ≡ 8 women
⇒ 1 man ≡ 2 women
∴ 6 men + 12 women ≡ 12 women + 12 women ≡ 24 women
∴ M1D1 = M2D2
⇒ 8 × 15 = 24 × D2

⇒ D2 =
8 × 15
= 5 days
24

Aliter : Using Rule 12,
Here, A = 4, B = 8, a = 15
A1 = 6, B1= 12
Required number of days
=
a(A × B)
A1B + B1A

=
15 × 32
= 5 days
96



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