Question : What is the value of $3^{2}+7^{2}+11^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}?$
Option 1: 5
Option 2: 72
Option 3: 92
Option 4: 184
Correct Answer: 184
Solution : $3^{2}+7^{2}+11^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}$ $= 9+49+121+169+289-1-25-81-121-225$ $=184$ Hence, the correct answer is 184.
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Question : $4^{11}+4^{12}+4^{13}+4^{14}$ is divisible by:
Option 1: 7
Option 2: 14
Option 3: 17
Option 4: 9
Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Option 1: $\frac{7}{2}$
Option 2: $3$
Option 3: $5$
Option 4: $\frac{9}{4}$
Question : Arrange the given ratios in descending order 15 : 7, 5 : 11, and 21 : 77.
Option 1: 21 : 77 > 5 : 11 > 15 : 7
Option 2: 15 : 7 > 5 : 11 > 21 : 77
Option 3: 15 : 7 > 21 : 77 > 5 : 11
Option 4: 5 : 11 > 15 : 7 > 21 : 77
Question : Directions: If 72 A 7 B 9 = 16, and 52 A 5 B 7 = 12, then 92 A 3 B 8 = ?
Option 1: 17
Option 2: 92
Option 3: 86
Option 4: 35
Question : The value of $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ is:
Option 1: $\frac{35}{24}$
Option 2: $8$
Option 3: $\frac{15}{28}$
Option 4: $–2$
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