In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?
  • a)
    5
  • b)
    8
  • c)
    1
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

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Answers

Imk Pathshala
Sep 16, 2021
Let the 4 digit no. be xyzw.

According to given conditions we have x + y = z + w, x + w = z, y + w = 2x + 2z.

With help of these equations, we deduce that y = 2w, z = 5x.

Now the minimum value x can take is 1 so z = 5 and the no. is 1854, which satisfies all the conditions.

Hence Option A is correct

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Let the 4 digit no. be xyzw.According to given conditions we have x + y = z + w, x + w = z, y + w = 2x + 2z.With help of these equations, we deduce that y = 2w, z = 5x.Now the minimum value x can take is 1 so z = 5 and the no. is 1854, which satisfies all the conditions.Hence Option A is correctFor Complete syllabus ofQuant for CATclick on the link given below:Quantitative Aptitude (Quant)https://edurev.in/courses/3074_quantitative-aptitude--maths--prep-tests--videos-
Let the 4 digit no. be xyzw.According to given conditions we have x + y = z + w, x + w = z, y + w = 2x + 2z.With help of these equations, we deduce that y = 2w, z = 5x.Now the minimum value x can take is 1 so z = 5 and the no. is 1854, which satisfies all the conditions.Hence Option A is correctFor Complete syllabus ofQuant for CATclick on the link given below:Quantitative Aptitude (Quant)https://edurev.in/courses/3074_quantitative-aptitude--maths--prep-tests--videos-