Select the set in which the numbers are related in the same way as are the numbers of the following sets. 

(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 to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

 (14, 30, 56) 

(20,36, 68)

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. 

Statements: 

All hearts are spades. 

All aces are spades. 

No spades are pens. 

Conclusions:

 (I): All aces are hearts.

 (II): No hearts are pens.

Find the value of x if 8 $(x)^\frac{1}{2}$ = $\sqrt6889$ + $\sqrt4761$ 

Which of the following is NOT an example of a colloidal solution?

A ball is released from rest at the top of an inclined smooth plane of length 5 cm. After reaching the bottom it travels horizontally on a smooth surface. How much distance will it travel horizontally? (Neglect the frictional forces as both the plane and surface are smooth)

In humans, which parent determines the sex of the child?

Which of the following statements is correct about the size of atoms?

The doctor feels our heartbeats with the help of an instrument called _______.

What happens to the gravitational force between two objects, if the distance between them is doubled and everything else remains the same?