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The sum of the number and its square is 1406. What is the number ?
- a)47
- b)42
- c)32
- d)37
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The sum of the number and its square is 1406. What is the number ?a)47...
See the last digit 06…..go for 7
Last digit ..37+(37*37) = 7+49 = 16
So ans: 37
Last digit ..37+(37*37) = 7+49 = 16
So ans: 37
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Community Answer
The sum of the number and its square is 1406. What is the number ?a)47...
Given, the sum of a number and its square is 1406.
Let's assume the number to be x.
According to the question, we have the equation:
x + x^2 = 1406
Now, we need to solve for x.
We can rearrange the equation to get:
x^2 + x - 1406 = 0
This is a quadratic equation in standard form:
ax^2 + bx + c = 0
where a = 1, b = 1, and c = -1406.
We can solve this equation using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Substituting the values, we get:
x = (-1 ± sqrt(1^2 - 4(1)(-1406))) / 2(1)
Simplifying, we get:
x = (-1 ± sqrt(1 + 5624)) / 2
x = (-1 ± sqrt(5625)) / 2
x = (-1 ± 75) / 2
So, we get two solutions:
x = (-1 + 75) / 2 = 37
x = (-1 - 75) / 2 = -38
Since the question asks for a number, we can discard the negative solution.
Therefore, the answer is option D, 37.
Let's assume the number to be x.
According to the question, we have the equation:
x + x^2 = 1406
Now, we need to solve for x.
We can rearrange the equation to get:
x^2 + x - 1406 = 0
This is a quadratic equation in standard form:
ax^2 + bx + c = 0
where a = 1, b = 1, and c = -1406.
We can solve this equation using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Substituting the values, we get:
x = (-1 ± sqrt(1^2 - 4(1)(-1406))) / 2(1)
Simplifying, we get:
x = (-1 ± sqrt(1 + 5624)) / 2
x = (-1 ± sqrt(5625)) / 2
x = (-1 ± 75) / 2
So, we get two solutions:
x = (-1 + 75) / 2 = 37
x = (-1 - 75) / 2 = -38
Since the question asks for a number, we can discard the negative solution.
Therefore, the answer is option D, 37.
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The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer?.
The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer?.
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