Question : Two stones of different masses are dropped simultaneously from the top of the building:

Option 1: smaller stone reaches the ground earlier.

Option 2: larger stone reaches the ground earlier.

Option 3: both the stones reach the ground at the same time.

Option 4: depends on the composition of the stone.

Question : A piece of paper and a cricket ball are dropped from the same height. Under which of the following conditions do both reach the surface simultaneously?

Option 1: They must have the same volume.

Option 2: They must have the same density.

Option 3: They must have the same mass.

Option 4: They must be dropped in a vacuum.

Question : Two positive numbers differ by 3951. When the larger number is divided by the smaller number, the quotient is 12 and the remainder is 13. The sum of the digits of the larger number is:

Option 1: 12

Option 2: 16

Option 3: 18

Option 4: 14

Question : Two circles of diameters 10 cm and 6 cm have the same centre. A chord of the larger circle is a tangent of the smaller one. The length of the chord is:

Option 1: 4 cm

Option 2: 8 cm

Option 3: 6 cm

Option 4: 10 cm

Question : A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles?

Option 1: $10 \pi$

Option 2: $25 \pi$

Option 3: $5 \pi$

Option 4: $\frac{5 \pi}{2}$

Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.

Option 1: 35

Option 2: 25

Option 3: 45

Option 4: 75