Below the 1000+ Questions with detail solution on Gate Aptitude, which were asked in previous year in all Branch of Engineering.
Question 1.
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low Which one of following is the CORRECT logical inference based on the information in the above passage?
Previously Asked in : Gate CE-afternoon season 2022 ||
Fewer people are visiting the malls and not spending enough
More people are visiting the malls and spending more
Fewer people are visiting the malls but spending more
More people are visiting the malls but not spending enough
Answer
Option More people visiting the malls but not spending enough is correct
This can be conferred from the low revenue generation through sales in the shops in these malls.
Question 2.
For the picture shown below, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
Previously Asked in : Gate CE-afternoon season 2022 ||
d
b
a
c
Answer (Detailed Solution Below)
Option d is correct
Detailed Explanation :
below the mirror image of it
So correct option is: d
Question 3.
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained availability of rice. Scientists are working on developing Green Super Rice (GSR), which is resilient under extreme weather conditions yet gives higher yields sustainably.
Which one of the following is the CORRECT logical inference based on the information given in the above passage?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
GSR grows in an extreme weather, but the quantity of produce is lesser than regular rice
GSR may be used in future in response to adverse affects of climate change
GSR is an alternative to regular rice, but it grows only in an extreme weather
Regular rice will continue to provide good yields even in extreme weather
Answer
Option GSR may be used in future in response to adverse affects of climate change is correct
Question 4.
A game consists of spinning an arrow around a stationary disk as shown below. when the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown. Two such disks are used in a game where their arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
\dfrac {7} {64}
\dfrac {1} {16}
\dfrac {5} {64}
\dfrac {3} {32}
Answer (Detailed Solution Below)
Option \dfrac {7} {64} is correct
Detailed Explanation :
Probability of getting only one number = \dfrac{1}{8}
they are independent spins probability of getting one number for each disc is
P = \dfrac {1} {8} \times \dfrac {1} {8}and possible outcomes to the sum of 8 = (1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)
\therefore \; \textrm{Required probability} = {\color {red} \boxed{\color{black}{\dfrac {7} {64}}}}Hence, the Correct option is: \dfrac {7} {64}
Question 5.
Consider the following inequalities:- 3p - q < 4 3q - p < 12
Which one of the following expressions below satisfies the above two inequalities?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
p + q < 8
p + q = 8
8 \le p + q < 16
p + q \ge 16
Answer (Detailed Solution Below)
Option <strong>p +q < 8</strong> is correct
Detailed Explanation :
Given equations,
3p - q < 4
3q - p < 12
Adding both equation,
2p + 2q < 16which is equal to {\color {red} \boxed{\color{black}{p +q < 8}}}
Hence, the correct option is: <strong>p +q < 8</strong>
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Question 6.
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
c
a
b
d
Answer
Option c is correct
Question 7.
A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.
What is the minimum number of doors that need to be opened in order to go from the point P to the Point Q?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
2
4
1
3
Answer
Option 2 is correct
Question 8.
Six persons P, Q, R, S, T and U are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:- P sits next to S and T.
- Q sits diametrically opposite to P.
- The shortest distance between S and R is equal to the shortest distance between T and U.
Based on the above statements, Q is a neighbor of
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
R and U
U ans S
R and T
P and S
Answer
Option R and U is correct
Detailed Explanation :
As per given data, the diagram will be
So the correct option is: R and U
Question 9.
Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate.
If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously. what is the capacity of the storage tank (in litres)?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
120.0
26.8
60.0
127.5
Answer (Detailed Solution Below)
Option 120.0 is correct
Detailed Explanation :
Let the capacity of storage tank is x litres and amount of water drawn only by pipe R is in one minute.
\dfrac {x} {60} + \left ( \dfrac {x} {6} + \dfrac {x} {10} \right) = + \dfrac {17x} {60}Total time taken R to draw a storage tank
= \dfrac {x} {\dfrac {17x}{60}} = \dfrac {60} {17} \, \textrm{min} \therefore \; \textrm{ Capacity of tank} = \dfrac {60} {17} \times 34 = 120 \; \textrm {litres}Correct option is: 120
Question 10.
A sphere of radius r cm is packed in a box of cubical shape.
What should be the minimum volume (in cm3 ) of the box that can enclose the sphere?
Previously Asked in : Gate CH 2022 || Gate IN 2022 || Gate PI 2022 ||
2 r^3
8 r^3
r^3
\dfrac{ r^3} {8}
Answer (Detailed Solution Below)
Option 8 r^3 is correct
Detailed Explanation :
Diameter of sphere = side of cube
a = 2rVolume of cube = {2r}^3 = 8r^3
Correct option is: 8r3
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