SSC GD Constable 4 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 43 of 80

Marks: +1, -0

Determine the largest four-digit number that is exactly divisible by 15, 25, 40, and 75.

Solution:

Find the LCM of

15,25,40

, and 75
Calculation:
Prime factorization:

\;15=3 × 5

\;25=5^2

\;40=2^3 × 5

\;75=3 × 5^2

\;\;\text " LCM "\;=2^3 × 3 × 5^2=600

Largest four-digit number

=9999

⇒ 9999 ÷ 600=16.665

⇒ Nearest integer quotient

=16

⇒ Largest four-digit number divisible by

600=600 × 16=9600

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