The smallest four digit number which is divisible by 4 8 12 and 16 is ........

Quantitative Aptitude (CHSL) Number System

The smallest four-digit number which is divisible by 4, 8, 12 and 16 is:

This questions was previously asked in

SSC CHSL 2nd June 2022 Shift-2

1012

1006

1010

1008

To solve this, we need the smallest four-digit number divisible by 4, 8, 12, and 16.

- LCM Calculation: Find the least common multiple (LCM) of 4, 8, 12, and 16.

- 4 = 2²

- 8 = 2³

- 12 = 2² × 3

- 16 = 24

- LCM = 24 × 3 = 48

- Smallest Four-Digit Divisible by 48:

- Divide 1000 by 48 ? Quotient ˜ 20.83

- Multiply 48 by the next whole number, 21.

- 48 × 21 = 1008

- Options Analysis:

- Option 1: 1012 - Not divisible by 48.

- Option 2: 1006 - Not divisible by 48.

- Option 3: 1010 - Not divisible by 48.

- Option 4: 1008 - Divisible by 48.

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