Question : Akka can bake 100 cakes in 20 hours. Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?
Option 1: 25
Option 2: 50
Option 3: 30
Option 4: 75
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Correct Answer: 50
Solution : Akka can bake 100 cakes in 20 hours. $\therefore$ Cakes baked by Akka in 1 hour = $\frac{100}{20}$ = 5 Akka and Tai together can bake 75 cakes in 10 hours. $\therefore$ Cakes baked by Akka and Tai in 1 hour = $\frac{75}{10}$ = 7.5 So, cakes baked by Tai in 1 hour = (7.5 – 5) = 2.5 $\therefore$ Cakes baked by Tai in 20 hours = (20 × 2.5) = 50 Hence, the correct answer is 50.
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Question : Sister can bake 50 cakes in 25 hours, and Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours?
Option 2: 45
Option 3: 20
Option 4: 10
Question : Sister can bake 50 cakes in 25 hours, and Sister and Mummy together can bake 75 cakes in 15 hours. Mummy can bake in 15 hours?
Question : The quotient when $10^{100}$ is divided by $5^{75}$ is:
Option 1: $2^{25}×10^{75}$
Option 2: $10^{25}$
Option 3: $2^{75}$
Option 4: $2^{75}×10^{25}$
Question : If 50 boys can finish a work in 30 days by working 6 hours per day, then how many hours per day should 25 boys work to finish that work within 24 days?
Option 1: 18 hours
Option 2: 10 hours
Option 3: 12 hours
Option 4: 15 hours
Question : Aditya can complete a grill painting job in 20 hours, while Vinay can complete the same work in 15 hours. If Aditya and Vinay both work together, then in how many hours will the painting work be completed?
Option 1: $10 \frac{2}{3}$ hours
Option 2: $10$ hours
Option 3: $12$ hours
Option 4: $8 \frac{4}{7}$ hours
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