Question : Find the HCF of 78, 84, 90 and 112.
Option 1: 1
Option 2: 2
Option 3: 5
Option 4: 7
Correct Answer: 2
Solution : Prime factorization of given numbers 78 = 2 × 3 × 13 84 = 2 × 2 × 3 × 7 90 = 2 × 3 × 3 × 5 112 = 2 × 2 × 2 × 2 × 7 Now, HCF = 2 Hence, the correct answer is 2
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Question : The LCM of the two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.
Option 1: 120
Option 2: 112
Option 3: 105
Option 4: 84
Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
Question : What is the value of the positive square root of $(69+28\sqrt{5})$?
Option 1: $(7+2\sqrt{5})$
Option 2: $(7-2\sqrt{5})$
Option 3: $(2+7\sqrt{5})$
Option 4: $(2-7\sqrt{5})$
Question : Find the HCF of 69, 96, and 99.
Option 1: 3
Option 2: 9
Option 3: 1
Option 4: 6
Question : Find the HCF of 364 and 724.
Option 1: 4
Option 3: 6
Option 4: 364
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