IPMAT Logical Reasoning Questionbank

Pointing to a photograph, Ravi says, "She is the daughter of the only son of my grandfather." If Ravi's grandfather has exactly one son, how is the girl related to Ravi?

A person walks 4 km east, then 3 km north. Find the straight-line distance (in km) from the starting point.

Statements: All engineers are graduates. Some graduates are managers.

Which conclusion follows?

Five friends A, B, C, D and E sit in a row of five seats facing north (numbered 1 to 5 from left to right). C sits exactly in the middle. B sits immediately to the right of C. D sits on seat 5. A sits on one of the extreme ends.

Who occupies seat 2?

A wooden cube is painted green on all faces and then cut into $3 \times 3 \times 3$ equal smaller cubes. How many small cubes have exactly two painted faces?

Question: Is x greater than y? Statement 1: $x - y = 5$. Statement 2: x and y are positive integers.

Which is sufficient?

Six people P, Q, R, S, T and U sit around a circular table, all facing the centre. P sits opposite R, and T sits opposite U. Q sits immediately to R's right (from R's own perspective, clockwise).

Who sits opposite S?

On a standard die, the numbers on opposite faces add up to 7. If the face showing 3 is on top, which number is on the bottom?

Introducing a man, Anita says, "He is the brother of my mother." How is the man related to Anita?

Statements: All roses are flowers. Some flowers are red.

Is the conclusion "Some roses are red" definitely valid?

In a row of students facing north, Kiran is 7th from the left and 12th from the right. How many students are in the row?

In the early morning, a person stands facing the rising Sun. Which direction is the person's shadow pointing?

Question: What is the value of x? Statement 1: $x^2 = 25$. Statement 2: x is positive.

Which is sufficient?

In a queue, Meena is 9th from the front. Ravi, who is 3 places behind Meena, is 15th from the back. How many people are in the queue?

A cube is painted red on two opposite faces and blue on all remaining faces. It is cut into 64 equal small cubes ($4 \times 4 \times 4$). How many small cubes have no painted face at all?

Statements: No pencil is a pen. All pencils are erasers.

Which conclusion follows necessarily?