JAMIA 2026 — Reasoning PYQ

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Question

JAMIA 2026 — Reasoning PYQ

JAMIA | Reasoning | 2026

What is the value of $x$ such that the LCM (Least Common Multiple) of $x$ and $75$ is $525$ and their HCF (Highest Common Factor) is $5$ ?

Choose the correct answer:

Explanation

1. Formula Rule:

For any two positive numbers $a$ and $b$ , the product of the numbers is always equal to the product of their $LCM$ and $HCF$ :

$Product of two numbers = LCM \times HCF$

2. Substitute the Given Values:

First number ( $a$ ) = $x$
Second number ( $b$ ) = $75$
$LCM = 525$
$HCF = 5$

Plugging these values into the formula:

$x \times 75 = 525 \times 5$

3. Solve for $x$ :

$x = \frac{525 \times 5}{75}$

Divide $525$ by $75$ :

$\frac{525}{75} = 7$

Now, multiply by $5$ :

$x = 7 \times 5$

$x = 35$

Correct Answer

Option (d) 35