Question

Find the wrong number in this sequence:
72, 70, 67, 65, 58, 52, 45

• A. 58
• B. 65
• C. 52
• D. 70

Answer 1

The Correct Option is B

To find the wrong number in the given sequence, let's first analyze the sequence: 72, 70, 67, 65, 58, 52, 45.

We need to observe the differences between consecutive terms to detect any pattern:

1. Difference between 72 and 70 is 2.
2. Difference between 70 and 67 is 3.
3. Difference between 67 and 65 is 2.
4. Difference between 65 and 58 is 7.
5. Difference between 58 and 52 is 6.
6. Difference between 52 and 45 is 7.

Observing the differences, the intended pattern seems to alternate between subtraction of 2 and 7:

• 72 - 2 = 70
• 70 - 7 = 63 (here 67 is given, which is incorrect)
• 63 - 2 = 61 (instead of 65)
• 61 - 7 = 54 (instead of 58)
• 54 - 2 = 52
• 52 - 7 = 45

This pattern of alternately subtracting 2 then 7 fits all except after 70, where instead of 63, we have 67, indicating that 65 disrupts the sequence.

Thus, the correct sequence should be 72, 70, 63, 61, 54, 52, 45.

Therefore, the wrong number in the given sequence is 65.