Question : What is the HCF of 225 and 425?
Option 1: 5
Option 2: 17
Option 3: 25
Option 4: 9
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Correct Answer: 25
Solution : Prime factors of 225 = 32 × 52 Prime factors of 425 = 52 × 17 So, the HCF of 225 and 425 = 52 = 25 Hence, the correct answer is 25.
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Question : P = 18 × 9 ÷ 6 + 5 × 15 ÷ 25 and Q = 15 ÷ 5 × 5 – 25 ÷ 5, what is the value of (P ÷ Q)?
Option 1: 2.5
Option 2: 2
Option 3: 3
Option 4: 1.5
Question : Find the HCF of $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$.
Option 1: $1$
Option 2: $\left(4^{25}-1\right)$
Option 3: $1024$
Option 4: $1023$
Question : The LCM of the two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the numbers is 100, then the other number is:
Option 2: 25
Option 3: 100
Option 4: 125
Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?
Option 1: 5 : 8
Option 2: 7 : 9
Option 3: 5 : 7
Option 4: 9 : 5
Question : What is the value of (3 ÷ 4) of 20 + 16 ÷ 2 – {(1÷3) of 12 + (2 ÷ 5) of 25 }?
Option 1: 8
Option 2: 7
Option 3: 10
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