Allied & ICAR Exam Bank • ALLIED_2170 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

How many positive factors of 1200 are multiples of 10?

Answer Key:

16

Step-by-Step Solution & Explanation

$1200 = 10 \times 120 = 2^4 \times 3^1 \times 5^2$. Multiples of 10 can be written as $10 \times k$ where $k$ divides $120 = 2^3 \times 3^1 \times 5^1$. Number of such factors = $(3+1)(1+1)(1+1) = 4 \times 2 \times 2 = 16$.
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