Question : How many positive factors of 36 are there?
Option 1: 1
Option 2: 3
Option 3: 9
Option 4: 12
Correct Answer: 9
Solution : 36 = 22 × 32 If N = am × bn, where a and b are prime numbers, then the number of positive factors of N = (m+1) × (n+1) The positive factors of 36 = 3 × 3 = 9 So, there are a total of 9 positive factors of 36. Hence, the correct answer is 9.
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Question : How many positive factors of 40 are there?
Option 1: 3
Option 2: 12
Option 3: 6
Option 4: 8
Question : What is the positive value of the following expression? $\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$
Option 1: $1 \frac{5}{6}$
Option 2: $1 \frac{1}{5}$
Option 3: $2 \frac{4}{5}$
Option 4: $2 \frac{3}{5}$
Question : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}+\frac{3}{4} \div \frac{1}{2}$ is:
Option 1: $\frac{29}{6}$
Option 2: $\frac{17}{9}$
Option 3: $\frac{14}{3}$
Option 4: $\frac{49}{12}$
Question : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}-\frac{3}{4}+\frac{3}{4} \div \frac{1}{2}$ is:
Option 1: $\frac{25}{6}$
Option 2: $\frac{14}{3}$
Option 3: $\frac{17}{9}$
Question : The LCM of $\frac{1}{3}, \frac{3}{5}, \frac{4}{7}$ and $\frac{9}{16}$ is:
Option 1: 36
Option 2: 49
Option 3: 38
Option 4: 81
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