Question : If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?

Option 1: 2

Option 2: 3

Option 3: 5

Option 4: 4

Question : Direction: If each of the letters in the English alphabet is assigned an odd numerical value beginning with A = 1, B = 3, and so on, what will be the total value of the letters for the word  HOTEL?

Option 1: 95

Option 2: 115

Option 3: 125

Option 4: 105

Question : Direction: If each of the letters in the English alphabet is assigned an even numerical value beginning  A = 2, B = 4 and so on, what will be the total value of the letters for the word INDIA?

Option 1: 72

Option 2: 86

Option 3: 74

Option 4: 94

Question : The distance between the points $(4, 8)$ and $(k, –4)$ is $13$. What is the value of $k$?

Option 1: 1

Option 2: 3

Option 3: –1

Option 4: –3

Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4