Aptitude and Reasoning Questions

If 4x2 - 12x + k is a perfect square, then the value of k is

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

Find the value of 'a' for which x+3x+a24 is a perfect square.

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) All young girls are modern.
(II) No modern men are superstitious.

Conclusion:
(I) No girls are superstitious.
(II) No young men are superstitious.

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives .

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

YXW, TSR, NML, ?

Select the missing number from the given options?

What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?