Question : The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
Option 1: 65
Option 2: 95
Option 3: 105
Option 4: 115
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Correct Answer: 95
Solution : Given: The average of the three numbers is 135. The largest number is 195. According to the question, Let the smallest number be x then the other number will be (x + 20). The sum of number = 135 × 3 = 405 Now, 195 + x + x + 20 = 405 ⇒ 2x + 215 = 405 ⇒ 2x = 405 - 215 = 190 ∴ x = $\frac{190}{2}$ = 95 Hence the answer is 95.
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Question : The average of the three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
Question : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
Question : The average of a set of 15 consecutive even numbers is 64. What is the difference between the largest and the smallest numbers belonging to this set?
Option 1: 26
Option 2: 27
Option 3: 25
Option 4: 28
Question : The difference between the two numbers is 45% of their sum. The ratio of the larger number to the smaller number is:
Option 1: 20 : 9
Option 2: 9 : 20
Option 3: 29 : 11
Option 4: 11 : 29
Question : The average of 15 numbers is 45. One more number is added, and the new average becomes 50. What is that new number?
Option 1: 125
Option 2: 118
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