Aptitude and Reasoning Questions

What is the quotient when 7251 is divided by 66?

What is the value of 13×7+17×11+111×15+...+1899×903 ?

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. 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., 'P' can be represented by 02, 13, etc., and 'A' can be represented by 57, 68, etc. Similarly you have to identify the set for the word 'GUNS'.

Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?

Find out the odd word/letters/number/number pair from the given alternatives.

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. Some pens are erasers.

Conclusions:
I. Some pencils are erasers.
II. All erasers are pens.

Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?