Aptitude and Reasoning Questions

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems 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: All cards are labels

Statement II: No posters are labels

Conclusion I: No cards are posters

Conclusion II: Some posters are cards

Consider the given question and decide which of the following statements is sufficient to answer the question.

X took a loan from Y on compound interest. Find the rate per annum?

Statements :

1. After 3 years, X paid Rs. 500 as interest

2. After 3 years, X paid Rs. 1500 to clear his loan with Y.

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its foot and makes an angle of 30° with the horizontal. The height (in metre) of the post is

Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively while the third can drain the filled tank in 15 hours. If all the three pipes are opened when the tank is empty, after how many hours will the tank be full?

AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle)

Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of (cosecX - 2/√3).