Aptitude and Reasoning Questions

In a number system, on dividing 11509 by a certain number, Mukesh gets 71 as quotient and 7 as remainder. What is the divisor?

The value of 122 + 345 - 3 / 1116 x 372 is

If two complementary angles are in the ratio of 2:3, find the ratio of square of smaller angle to square of greater angle.

What is the equation of the line which has 3/2 and -­4/7 as x and y intercept respectively?

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.

Statement:
(I) The DRDO has tested the Smart Anti Airfield Weapon from an Indian Air Force aircraft.
(II) The lightweight high­precision guided bomb is one of the world class weapons systems.

Conclusions:
(I) DRDO Chairman Dr. S. Christopher congratulated the DRDO and the IAF teams for the successful mission.
(II) The test was carried out by IAF's Aircraft and System Testing Establishment.

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.

Students from different countries (A, B, C, D, E, F) participated in a certain seminar. The pie chart shows how many students came from each of the six participating countries. Study the diagram and answer the following questions.

The biggest contingent of students was from which country?

If 49 is subtracted from the square of a number, then the result obtained is 576. What is the number?