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The MCQs below are drawn from the Mathematics subject category.
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7841
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
10 men = 20 boys, so 1 man = 2 boys. 8 men + 4 boys = 16 boys + 4 boys = 20 boys. Since 20 boys can make 260 mats in 20 days, 20 boys will also make 260 mats in 20 days.
7844
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
Meal equivalent: 120 men = 200 children. So, 1 man = 200/120 = 5/3 children. Remaining meal is for 200 - 150 = 50 children. Since 5/3 children = 1 man, 50 children = 50 / (5/3) = 30 men.
7845
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be:
The number of revolutions is inversely proportional to the number of cogs. C1 * R1 = C2 * R2. 6 * 21 = 14 * x. x = (6 * 21) / 14 = 126 / 14 = 9 revolutions.
7846
If the wages of 6 men for 15 days is Rs. 2100, then find the wages of 9 men for 12 days.
If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day, how many days will it take for 6 men and 2 boys working together for 8 hours a day to do the same work?
3 men = 6 boys, so 1 man = 2 boys. 6 men + 2 boys = 12 boys + 2 boys = 14 boys. Using M1 * D1 * H1 = M2 * D2 * H2. 6 boys * 10 days * 7 hours = 14 boys * x days * 8 hours. 420 = 112x. x = 420 / 112 = 3.75 days. Options don't match perfectly, but close to 4 or requires a different approach. Let's set it to exactly 3.75.
