Quantitative Aptitude Test - 5

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

Is x + y = 0 ?
I. xy < 0
II. x2 = y2

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

A quadratic equation ax2 + bx + c = 0 has two real roots. Are the roots reciprocals of each other?
I. a and c are equal.
II. a and b are not equal.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

a and b are natural numbers. Is ‘a’ an even number
I. a × b is an even number.
II. a ÷ b is an even number.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

How many people are standing in the queue?
I. In the queue, there are 20 people ahead of Pawan and 14 people behind Ritesh.
II. There are 4 people between Pawan and Ritesh.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

Ramesh starts moving blind-folded facing north. After moving some distance, finally, he is heading in a particular direction. Now, if he is cutting the air flow at an angle of 75° from the left side, in which direction is the air flowing?
I. He takes a 30° turn each time in the same direction after moving 60 m.
II. He has moved 600 m in all.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

A box contains black, white and red balls. What is the probability of drawing a white ball?
I. The number of white balls is equal to the total number of black and red balls.
II. There are equal numbers of balls of each colour.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

Steamers A and B leave the Mumbai port together for Goa and return to Mumbai immediately. Which steamer reaches Mumbai first?
I. A travels one half of the distance at 40 kmph and the other half at 60 kmph.
II. B travels at an average speed of 50 kmph.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

Direction: These questions are based on the information given below:

Each question is followed by two statements, I and II. Answer each question using the following instructions:

Choose [1], if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

Choose [2], if the question can be answered by using either statement alone.

Choose [3], if the question can be answered using both statements together, but cannot be answered using either statement alone.

Choose [4], if the question cannot be answered using both statements together.

Find the volume of the cylindrical container.
I. Base radius of the container is 5 cm.
II. The container gets completely filled with water flowing from a pipe of radius 1 cm in 3 seconds. Water is flowing through the pipe at a speed of 50 cubic cm per second.

Direction: These questions are based on the information given below:

Each question has two equations.

Mark [1], if x < y

Mark [2], if x > y

Mark [3], if x ≤ y

Mark [4], if x = y or if a relationship cannot be established between x and y

(A) x2 – x – 20 = 0
(B) y2 – 11y + 30 = 0