Question : If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, then the number of chairs made by 18 carpenters in 36 days each working 8 hours a day is:
Option 1: 92
Option 2: 132
Option 3: 138
Option 4: 126
Correct Answer: 138
Solution : $M_1$ = 12 men, $D_1$ = 240 days, $T_1$ = 6 hours, and $W_1$ = 460 chairs Let the number of chairs made by the second group be $W_2$ And, $M_2$ = 18 men, $D_2$ = 36 days and $T_2$ = 8 hours Now, $\frac{M_1D_1T_1}{W_1}= \frac{M_2D_2T_2}{W_2}$ ⇒ $\frac{12\times 240\times 6}{460}=\frac{18\times 36\times 8}{W_2}$ ⇒ $W_2$ = 138 chairs Hence, the correct answer is 138.
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Question : If 45 persons can complete a work in 18 days, working 8 hours a day, then how many persons are required to complete two-thirds of the same work in 20 days, working 9 hours a day?
Option 1: 36
Option 2: 40
Option 3: 30
Option 4: 24
Question : Working 7 hours a day, 18 persons can complete a certain work in 32 days. In how many days would 14 persons complete the same work, working 8 hours a day?
Option 1: 42
Option 2: 30
Option 3: 35
Option 4: 36
Question : If 10 men can complete a piece of work in 12 days by working 7 hours a day, then in how many days can 14 men do the same work by working 6 hours a day?
Option 1: 15
Option 2: 16
Option 3: 10
Option 4: 12
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 36 × 12 + 48 ÷ 6 –18 = 202
Option 1: 6 and 18
Option 2: 6 and 12
Option 3: 36 and 18
Option 4: 36 and 48
Question : A and B together can do a certain work in $x$ days. Working alone, A and B can do the same work in ($x$ + 8) and ($x$ + 18) days, respectively. A and B together will complete $\frac{5}{6}$th of the same work in:
Option 1: 12 days
Option 2: 8 days
Option 3: 10 days
Option 4: 9 days
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