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Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 150 : : 14 : ?
- a)302
- b)205
- c)203
- d)502
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Select the option that is related to the third number in the same way...
Explanation:
To find the relationship between the second and third number, we need to analyze the relationship between the first and second number.
The first number, 12, is multiplied by 12.5 to get the second number, 150. Therefore, the relationship between the first and second number can be described as:
12 * 12.5 = 150
Now, we need to find the number that is related to 14 in the same way that 150 is related to 12.
Calculations:
To find the third number, we need to multiply 14 by the same factor that was used to obtain the second number.
14 * 12.5 = 175
But none of the given options match the calculated result of 175.
Alternative Approach:
Alternatively, we can observe that the second number, 150, is obtained by adding the square of the first number, 12, to the first number itself.
12 + (12^2) = 12 + 144 = 150
Using the same pattern, we can find the third number:
14 + (14^2) = 14 + 196 = 210
But again, none of the given options match the calculated result of 210.
Conclusion:
After analyzing the given options and calculating the relationship between the numbers, it is evident that none of the options match the pattern observed. Therefore, the correct answer cannot be determined from the given options.
To find the relationship between the second and third number, we need to analyze the relationship between the first and second number.
The first number, 12, is multiplied by 12.5 to get the second number, 150. Therefore, the relationship between the first and second number can be described as:
12 * 12.5 = 150
Now, we need to find the number that is related to 14 in the same way that 150 is related to 12.
Calculations:
To find the third number, we need to multiply 14 by the same factor that was used to obtain the second number.
14 * 12.5 = 175
But none of the given options match the calculated result of 175.
Alternative Approach:
Alternatively, we can observe that the second number, 150, is obtained by adding the square of the first number, 12, to the first number itself.
12 + (12^2) = 12 + 144 = 150
Using the same pattern, we can find the third number:
14 + (14^2) = 14 + 196 = 210
But again, none of the given options match the calculated result of 210.
Conclusion:
After analyzing the given options and calculating the relationship between the numbers, it is evident that none of the options match the pattern observed. Therefore, the correct answer cannot be determined from the given options.
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Community Answer
Select the option that is related to the third number in the same way...
According to the question,
Given: 12 : 150 : : 14 : ?
The logic followed here is:
(1st number)2 + 1st number ÷ 2 = 2nd number
12 : 150 = 122 + 12 ÷ 2 = 144 + 6 = 150
Similarly, 14 : ? = 142 + 14 ÷ 2 = 196 + 7 = 203
Hence, 203 is the correct answer.
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Select the option that is related to the third number in the same way as the second number is related to the first number.12 : 150 : : 14 : ?a)302b)205c)203d)502Correct answer is option 'C'. Can you explain this answer?
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