Question : Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, the numbers are:

Option 1: 8, 12, and 16

Option 2: 16, 24, and 32

Option 3: 12, 18, and 24

Option 4: None of the above.

Question : Find the mean proportion between $(6+\sqrt{8})$ and $(3-\sqrt{2})$.

Option 1: $2 \sqrt{12}$

Option 2: $\sqrt{14}$

Option 3: $(6-\sqrt{8})$

Option 4: $\sqrt{15}-7$

Question : Directions: Select the set in which the numbers are related in the same way to the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(2, 8, 36)
(4, 9, 25)

Option 1: (14, 18, 9)

Option 2: (13, 20, 49)

Option 3: (21, 15, 35)

Option 4: (12, 14, 26)

Question : Directions: By interchanging the given two signs which of the following equations will be correct?
÷ and +

Option 1: 18 ÷ 24 – 6 × 6 + 3 = 32

Option 2: 12 – 8 + 12 × 9 ÷ 3 = 10

Option 3: 12 ÷ 8 × 3 + 6 – 10 = 8

Option 4: 7 + 21 × 42 ÷ 14 – 9 = 19

Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(12, 15, 18)
(10, 8, 6)

Option 1: (15, 20, 25)

Option 2: (14, 28, 14)

Option 3: (13, 10, 17)

Option 4: (19, 18, 1)