Aptitude and Reasoning Questions

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

In this question, the sets of numbers given in the alternatives are represented. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g.,A can be represented by 02, 14, etc., and 'O' can be represented by 55, 67, etc. Similarly you have to identify the set for the word 'LEND'

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) Some polynomials are linear equations.
(II) Some linear equations are quadratic.

Conclusion:
(I) Polynomials are quadratic.
(II) Linear equations are quadratic.

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

cos(A+B) + cos(A-B) is equal to

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to
be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. All pencils are erasers.
Conclusions:
I. Some pencils are not pens.
II. Some erasers are not pens.

In the following question, select the missing number from the given series.

2, 5, 12, 27, ?

Find the mean and mode of the numbers 1, 9, 5, 4, 2, 1, 9, 9, 2, 1, 9, 1, 2, 1?