Question : A girl wants to plant trees in her garden in rows in such a way that the number of trees in each row to be the same. There are 10 rows and the number of trees in each row is 12, what is the number of trees in each row, if there are 5 more rows?
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 12
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Correct Answer: 8
Solution : The total number of trees in the garden is the product of the number of rows and the number of trees in each row. Currently, there are 10 rows and 12 trees in each row, so the total number of trees is 10 × 12 = 120 If the girl adds 5 more rows, the total number of rows becomes 15. The total number of trees remains the same because she's just rearranging them, not adding or removing any trees. Let T be the number of trees in each row after the change. ⇒ 15 × T = 120 $\therefore$ T = 8 Hence, the correct answer is 8.
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Question : Directions: Select the option in which the numbers are related in the same way as the numbers of the following sets. (8, 12, 48) (6, 18, 54)
Option 1: (6, 12, 48)
Option 2: (4, 8, 12)
Option 3: (6, 8, 30)
Option 4: (4, 8, 16)
Question : It takes 6 hours to clean a garden. In 2 hours 30 minutes, what part of the garden will be cleaned?
Option 1: $\frac{5}{2}$
Option 2: $\frac{5}{12}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{5}{6}$
Question : If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?
Option 1: 4 : 12 : 7 : 3
Option 2: 4 : 10 : 6 : 5
Option 3: 6 : 5 : 8 : 10
Option 4: 8 : 12 : 7 : 8
Question : Anita scored 36 marks out of 120 but later her teacher increased 6 marks for her. What will be the increase in her percentage?
Option 1: 6%
Option 2: 10%
Option 3: 8%
Option 4: 5%
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row - 6, 216, 180 Second row - 8, 512, 448 Third row - 10, 1000, ?
Option 1: 800
Option 2: 1100
Option 3: 900
Option 4: 1300
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