Question : Find the LCM of 25, 30, 50, and 75.
Option 1: 15.0
Option 2: 150
Option 3: 1.50
Option 4: 75
Correct Answer: 150
Solution : Factors of 25 = 5 × 5 Factors of 30 = 5 × 3 × 2 Factors of 50 = 5 × 5 × 2 Factors of 75 = 5 × 5 × 3 LCM of 25, 30, 50, and 75 = 5 × 5 × 3 × 2 = 150 Hence, the correct answer is 150.
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Question : Find the HCF of 125, 250, and 750.
Option 1: 50
Option 2: 25
Option 3: 125
Question : Find the LCM of 20, 30, 45, and 65.
Option 1: 2000
Option 2: 2340
Option 3: 2240
Option 4: 180
Question : If 50% of (P – Q) = 30% of (P + Q) and Q = $x$% of P, then the value of $x$ is:
Option 1: 30
Option 3: 20
Option 4: 50
Question : Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:
Option 1: 15
Option 2: 30
Option 3: 25
Option 4: 105
Question : The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.
Option 1: $25 \pi$
Option 2: $\frac{75 \pi}{4}$
Option 3: $\frac{50 \pi}{4}$
Option 4: $\frac{25 \pi}{4}$
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