Find the units digit of the product

127 × 137 × 413 × 291 × 342 × 533 × 342

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 2)
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  1. 10
  2. 6
  3. 8
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Unit digit of the product:

127 × 137 × 413 × 291 × 342 × 533 × 342

Calculation:

Units digits of the numbers:

127 → 7, 137 → 7, 413 → 3, 291 → 1, 342 → 2, 533 → 3, 342 → 2

⇒ Units digit of (7 × 7) = 49 → Units digit = 9

⇒ Units digit of (9 × 3) = 27 → Units digit = 7

⇒ Units digit of (7 × 1) = 7 → Units digit = 7

⇒ Units digit of (7 × 2) = 14 → Units digit = 4

⇒ Units digit of (4 × 3) = 12 → Units digit = 2

⇒ Units digit of (2 × 2) = 4

The units digit of the product is 4.

The correct answer is option (4).

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