Question
Download Solution PDFThis question is based on the five, three-digit numbers given below.
(left) 434 353 423 224 322 (right)
(Example: 246 - first digit = 2, second digit = 4, third digit = 6)
NOTE - All operations to be done from left to right.
If 4 is added to the second digit of every number, in how many numbers thus formed will the second digit be exactly divisible by the third digit?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(left) 434 353 423 224 322 (right)
After 4 is added to the second digit of every number we will get,
(left) 474 393 463 264 362 (right)
Let us check whether the second digit is exactly divisible by the third digit of the number thus formed or not:
474 ⇒ 7 ÷ 4 ⇒ (Not divisible).
393 ⇒ 9 ÷ 3 = 3 (Divisilbe).
463 ⇒ 6 ÷ 3 = 2 (Divisible).
264 ⇒ 6 ÷ 4 ⇒ (Not divisible).
362 ⇒ 6 ÷ 2 = 3 (Divisible).
Thus, there are only three such numbers whose second digit is exactly divisible by the third digit.
Hence, the correct answer is 'Three'.
Last updated on Jul 18, 2025
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