1
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.

Consider the following statements :

$$\bullet$$ The line segment joint R and S is longer than the line segment joining P and Q.

$$\bullet$$ The line segment joining R and S is perpendicular to the line segment joining P and Q.

$$\bullet$$ The line segment joining R and U is parallel to the line segment joining T and Q.

Based on the above statements, which one of the following options is CORRECT?

A
The line segment joining R and T is parallel to the line segment joining Q and S.
B
The line segment joining T and Q is parallel to the line joining P and U.
C
The line segment joining R and P is perpendicular to the line segment joining U and Q.
D
The line segment joining Q and S is perpendicular to the line segment joining R and P.
2
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?

A
B
C
D
3
GATE EE 2019
MCQ (Single Correct Answer)
+1
-0.33
It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn?
A
120
B
90
C
60
D
80
4
GATE EE 2019
MCQ (Single Correct Answer)
+1
-0.33
The missing number in the given sequence 343, 1331, _______, 4913 is
A
3375
B
2744
C
2197
D
4096
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