Question : The average of 24 numbers is 43. If we subtract a number ' M ' from each number, then the average becomes 38. What was the value of M?
Option 1: 12
Option 2: 5
Option 3: 7
Option 4: 10
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Correct Answer: 5
Solution : Given: The average of 24 numbers is 43. If we subtract a number ' M ' from each number, then the new average = (43 – M) According to the question, (43 – M) = 38 ⇒ M = 43 – 38 = 5 Therefore, the value of M = 5 Hence, the correct answer is 5.
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Question : The average of ten numbers is 24. If each number is divided by 2, then what will be the new average?
Option 2: 6
Option 3: 20
Option 4: 5
Question : The average of 9 numbers is 47. If a number is removed, then the average becomes 48. Which number was removed?
Option 1: 39
Option 2: 42
Option 3: 45
Option 4: 40
Question : A large solid cube is melted and cast into ' N ' small solid spheres, each of radius 3 cm, and ' N + 2 ' small solid cuboids, each of dimensions 4 cm × 4 cm × 6.5 cm. If the length of each side of the large solid cube is 12 cm, then find the value of 'N'. [Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 8
Option 4: 6
Question : The average of 10 numbers is 42. If each number is increased by 5, then what will be the new average?
Option 1: 42
Option 2: 47
Option 3: 92
Option 4: 57
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
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