In a sonometer experiment, the string of length 'L' under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at A) L/3, 2L/3, 5L/6 B) L/8, L/4, L/2 C) L/2, L/4, L/6 D)L/6, L/2, 5L/6

Question : The ratio of curved surface areas of two cones is 1 : 8 and the ratio of their slant heights is 1 : 4. What is the ratio of radii of the two cones?

Option 1: 1 : 1

Option 2: 1 : 2

Option 3: 1 : 4

Option 4: 1 : 8

Question : Directions: A is the mother of B. C is the son of A. D is the brother of E, and E is the daughter of B. Who is the grandmother of E?

Option 1: A

Option 2: B

Option 3: C

Option 4: D

Question : The base of a right pyramid is a square of side $8 \sqrt{2}$ cm and each of its slant edges is of length 10 cm. What is the volume (in cm$^3$) of the pyramid?

Option 1: $256$

Option 2: $224$

Option 3: $426 \frac{2}{3}$

Option 4: $96 \sqrt{2}$

Question : Water has maximum density at

Option 1: 100^oC

Option 2: 0^oC

Option 3: 4^oC

Option 4: 273^oC

Question : Directions: Select the option in which the numbers are related in the same way as the numbers of the following sets.
(36, 2, 3); (108, 6, 3)

Option 1: (120, 5, 5)

Option 2: (48, 4, 2)

Option 3: (102, 3, 6)

Option 4: (28, 4, 2)