Aptitude and Reasoning Questions

If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz – x2 – y2 – z2?

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statements: 1. All stenographers are lazy. 2. Some men are stenographers.

Conclusions: I. All lazy people are men. II. Some men are lazy.

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

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

The question below consists of a question and three statements numbered I, II and III given. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.

How is M related to R?

I. T, the only son of M, has two sisters.

II. M’s son is the brother of the only sister of R.

III. R and T are children of M.

How many 6's are there in the following sequence that are immediately preceeded by 3 but not immediately followed by 0?

3 6 9 0 6 9 3 6 9 3 6 6 3 6 0 6 3 3 6 0

A sum of money of Rs. 1000 is lent out in two parts in such a way that the interest on one part at 10% per annum for 5 years is equal to another at 5% for 10 years. Calculate the sum lent out at 5%.