Question : What will happen if a glass bottle is filled with water, sealed with a lid and put into a freezer?

Option 1: The glass bottle will be deformed due to atmospheric pressure on the bottle after the water freezes.

Option 2: Nothing will happen

Option 3: The weight of the glass bottle will increase after the water freezes into ice.

Option 4: Eventually, the ice will burst the glass bottle.

Question : In ΔABC with sides 8 cm, 9 cm and 12 cm, the angle bisector of the largest angle divides the opposite sides into two segments. What is the length of the shorter segment?

Option 1: $5 \frac{11}{17} {~cm}$

Option 2: $4\frac{11}{17} {~cm}$

Option 3: $6\frac{13}{17} {~cm}$

Option 4: $3\frac{9}{17} {~cm}$

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. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.)
(12, 125, 17)
( 8, 27, 11)

Option 1: (11, 32, 15)

Option 2: (19, 216, 25)

Option 3: (17, 16, 19)

Option 4: (9, 216, 16)

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

Question : If the six-digit number 479xyz is exactly divisible by 7, 11, and 13, then {(y + z) ÷ x} is equal to:

Option 1: $4$

Option 2: $\frac{11}{9}$

Option 3: $\frac{7}{13}$

Option 4: $\frac{13}{7}$