9 * ABCDE = PQRSTU (when a 5 digit number is multiplied by 9 the obtained value is 6 digit number)The values of ABCDE is unknown and the sum of values of digits in the place of A,C,D i.e., P+R+S=5 AND Q+T+U < 9, THEN WHAT IS THE VALUE OF Q+T+U=?

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  1. 6

  2. 3

  3. 5

  4. 4

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Correct Option: D

AI Explanation

To solve this question, let's break down the given information:

  1. When a 5-digit number (ABCDE) is multiplied by 9, the obtained value is a 6-digit number (PQRSTU).
  2. The sum of the values of the digits in the places of A, C, and D is given as P + R + S = 5.
  3. The sum of the values of the digits in the places of Q, T, and U is less than 9.

We need to find the value of Q + T + U.

Let's consider the possible values of P, R, and S that satisfy the condition P + R + S = 5:

  • P = 1, R = 2, S = 2
  • P = 2, R = 1, S = 2
  • P = 2, R = 2, S = 1

Now, let's calculate the value of Q + T + U for each case:

  1. P = 1, R = 2, S = 2: In this case, the value of Q + T + U would be 9 - (1 + 2 + 2) = 4.

  2. P = 2, R = 1, S = 2: In this case, the value of Q + T + U would be 9 - (2 + 1 + 2) = 4.

  3. P = 2, R = 2, S = 1: In this case, the value of Q + T + U would be 9 - (2 + 2 + 1) = 4.

Therefore, regardless of the values of P, R, and S, the value of Q + T + U is always 4.

The correct answer is option D) 4.

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