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DIRECTIONS for the question: Solve the following question and mark the best possible option.
In the diagram below, the seven letters correspond to seven unique digits chosen from 0 to 9. The relationship among the digits is such that:
P.Q.R = X.Y.Z = Q.A.Y
Q. The value of A is:
  • a)
    0
  • b)
    2
  • c)
    3
  • d)
    6
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the b...
Given that P.Q.R = X.Y.Z = Q.A.Y = k (say).
As P, Q, R, A, X, Y and Z are distinct, if any of P, Q, R, A, X, Y and Z is equal to 0 or 5 or 7, then the above equation cannot be satisfied as 0 will make product 0 and 5 & 7 ae prime number and have no multiple till 9.
Therefore, the seven digits which are used are 1, 2, 3, 4, 6, 8 and 9.
    ► 1.2.3.4.6.8.9 = (PQR)(XYZ)(A)
Now P.Q.R.X.Y.Z.A = 27.34,
    ► P.Q.R = X.Y.Z = k2
So, A is either 2 or 23, since (PQR)(XYZ) must be a perfect square.
    ► If A = 8, P.Q.R, X.Y.Z = 24.34,
    ► P.Q.R = X.Y.Z = (22.32).
Now Q.A.Y must also be = 22.32
If A is 8, Q.A.Y cannot be 22.32.
So A is 2.
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Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Given that P.Q.R = X.Y.Z = Q.A.Y = k (say).
As P, Q, R, A, X, Y and Z are distinct, if any of P, Q, R, A, X, Y and Z is equal to 0 or 5 or 7, then the above equation cannot be satisfied as 0 will make product 0 and 5 & 7 ae prime number and have no multiple till 9.
Therefore, the seven digits which are used are 1, 2, 3, 4, 6, 8 and 9.
    ► 1.2.3.4.6.8.9 = (PQR)(XYZ)(A)
Now P.Q.R.X.Y.Z.A = 27.34,
    ► P.Q.R = X.Y.Z = k2
So, A is either 2 or 23, since (PQR)(XYZ) must be a perfect square.
    ► If A = 8, P.Q.R, X.Y.Z = 24.34,
    ► P.Q.R = X.Y.Z = (22.32).
Now Q.A.Y must also be = 22.32
If A is 8, Q.A.Y cannot be 22.32.
So A is 2.
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.In the diagram below, the seven letters correspond to seven unique digits chosen from 0 to 9. The relationship among the digits is such that:P.Q.R = X.Y.Z = Q.A.YQ. The value of A is:a)0b)2c)3d)6e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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