Q. Which of the following is NOT mentioned as a common mistake made by CAT aspirants?
-
A.
Ignoring the verbal section
-
B.
Overemphasizing quantitative practice
-
C.
Neglecting time management
-
D.
Focusing too much on mock tests
Solution
The passage does not mention focusing too much on mock tests as a common mistake.
Correct Answer:
D
— Focusing too much on mock tests
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Q. Which of the following is NOT mentioned as a consequence of climate change in the passage? (2023)
-
A.
Rising sea levels.
-
B.
Increased frequency of natural disasters.
-
C.
Decline in agricultural productivity.
-
D.
Improvement in air quality.
Solution
The passage discusses various negative consequences of climate change, but it does not mention any improvement in air quality.
Correct Answer:
D
— Improvement in air quality.
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Q. Which of the following is NOT mentioned as a factor influencing scientific research?
-
A.
Technological advancements
-
B.
Funding availability
-
C.
Public interest
-
D.
Cultural beliefs
Solution
Cultural beliefs are not mentioned as a factor influencing scientific research in the passage.
Correct Answer:
D
— Cultural beliefs
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Q. Which of the following is NOT mentioned as a potential consequence of technological advancement?
-
A.
Job displacement
-
B.
Increased efficiency
-
C.
Environmental degradation
-
D.
Enhanced communication
Solution
While the passage discusses job displacement, efficiency, and environmental issues, it does not mention enhanced communication as a consequence.
Correct Answer:
D
— Enhanced communication
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Q. Which of the following is NOT mentioned as an application of digital sum in the passage? (2023)
-
A.
Data compression techniques.
-
B.
Cryptography.
-
C.
Error detection in data transmission.
-
D.
Mathematical problem-solving.
Solution
The passage does not mention data compression techniques as an application of digital sum.
Correct Answer:
A
— Data compression techniques.
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Q. Which of the following is the base of the natural logarithm?
Solution
The base of the natural logarithm is e, approximately equal to 2.718.
Correct Answer:
B
— e
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Q. Which of the following is the best conductor of heat?
-
A.
Air
-
B.
Water
-
C.
Copper
-
D.
Wood
Solution
Copper is known to be one of the best conductors of heat among the given options.
Correct Answer:
C
— Copper
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Q. Which of the following is the best definition of a factor?
-
A.
A number that can divide another number without leaving a remainder.
-
B.
A number that is a multiple of another number.
-
C.
A number that is less than another number.
-
D.
A number that is greater than one.
Solution
A factor is defined as a number that divides another number without leaving a remainder.
Correct Answer:
A
— A number that can divide another number without leaving a remainder.
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Q. Which of the following is the capital of France? (2023)
-
A.
Berlin
-
B.
Madrid
-
C.
Paris
-
D.
Rome
Solution
Paris is the capital city of France.
Correct Answer:
C
— Paris
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Q. Which of the following is the capital of India?
-
A.
Mumbai
-
B.
Delhi
-
C.
Kolkata
-
D.
Chennai
Solution
Delhi is the capital of India.
Correct Answer:
B
— Delhi
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Q. Which of the following is the conjugate of the complex number 2 - 3i? (2020)
-
A.
2 + 3i
-
B.
2 - 3i
-
C.
3 - 2i
-
D.
3 + 2i
Solution
The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 2 - 3i is 2 + 3i.
Correct Answer:
A
— 2 + 3i
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Q. Which of the following is the conjugate of the complex number 5 - 3i? (2020)
-
A.
5 + 3i
-
B.
5 - 3i
-
C.
-5 + 3i
-
D.
-5 - 3i
Solution
The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 3i is 5 + 3i.
Correct Answer:
A
— 5 + 3i
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Q. Which of the following is the conjugate of the complex number z = 2 - 3i?
-
A.
2 + 3i
-
B.
2 - 3i
-
C.
3 - 2i
-
D.
3 + 2i
Solution
The conjugate of a complex number z = a + bi is given by z* = a - bi. Here, the conjugate is 2 + 3i.
Correct Answer:
A
— 2 + 3i
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Q. Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)
-
A.
5 + 2i
-
B.
5 - 2i
-
C.
-5 + 2i
-
D.
-5 - 2i
Solution
The conjugate of z = 5 - 2i is z* = 5 + 2i.
Correct Answer:
A
— 5 + 2i
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Q. Which of the following is the conjugate of the complex number z = 5 - 3i?
-
A.
5 + 3i
-
B.
5 - 3i
-
C.
3 - 5i
-
D.
3 + 5i
Solution
The conjugate of a complex number z = a + bi is given by z* = a - bi. Here, the conjugate of 5 - 3i is 5 + 3i.
Correct Answer:
A
— 5 + 3i
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Q. Which of the following is the correct binary representation of the decimal number 8?
-
A.
1000
-
B.
1110
-
C.
1010
-
D.
1100
Solution
The binary representation of the decimal number 8 is 1000.
Correct Answer:
A
— 1000
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Q. Which of the following is the correct conversion factor from kilometers to meters?
-
A.
1000
-
B.
0.1
-
C.
0.001
-
D.
10
Solution
1 kilometer is equal to 1000 meters, hence the conversion factor is 1000.
Correct Answer:
A
— 1000
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Q. Which of the following is the correct conversion of 1 kilometer to meters?
-
A.
100 m
-
B.
1000 m
-
C.
10 m
-
D.
0.1 m
Solution
1 kilometer is equal to 1000 meters.
Correct Answer:
B
— 1000 m
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Q. Which of the following is the correct conversion of 1 km to meters?
-
A.
100 m
-
B.
1000 m
-
C.
10 m
-
D.
0.1 m
Solution
1 kilometer is equal to 1000 meters.
Correct Answer:
B
— 1000 m
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Q. Which of the following is the correct conversion of the decimal number 10 into binary?
-
A.
1010
-
B.
1001
-
C.
1100
-
D.
1110
Solution
The decimal number 10 is represented as 1010 in binary.
Correct Answer:
A
— 1010
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Q. Which of the following is the correct dimension for pressure? (2021)
-
A.
M^1L^-1T^-2
-
B.
M^1L^1T^-2
-
C.
M^1L^0T^-2
-
D.
M^0L^1T^-1
Solution
Pressure is defined as force per unit area, hence its dimension is M^1L^-1T^-2.
Correct Answer:
A
— M^1L^-1T^-2
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Q. Which of the following is the correct dimension for velocity? (2021)
-
A.
M^1L^1T^-1
-
B.
M^0L^1T^-1
-
C.
M^1L^0T^-1
-
D.
M^1L^1T^0
Solution
The dimension of velocity is M^0L^1T^-1.
Correct Answer:
B
— M^0L^1T^-1
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Q. Which of the following is the correct dimensional formula for acceleration? (2022)
-
A.
[M^0 L^1 T^-2]
-
B.
[M^1 L^0 T^-2]
-
C.
[M^1 L^1 T^-1]
-
D.
[M^0 L^0 T^-2]
Solution
Acceleration is defined as the change in velocity per unit time, so its dimensional formula is [M^0 L^1 T^-2].
Correct Answer:
A
— [M^0 L^1 T^-2]
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Q. Which of the following is the correct dimensional formula for electric charge?
-
A.
[M^1 L^2 T^-3 A^-1]
-
B.
[M^0 L^0 T^0 A^1]
-
C.
[M^0 L^1 T^-2 A^1]
-
D.
[M^1 L^1 T^-2 A^-1]
Solution
The dimensional formula for electric charge is [M^1 L^2 T^-3 A^-1], derived from the definition of current.
Correct Answer:
A
— [M^1 L^2 T^-3 A^-1]
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Q. Which of the following is the correct dimensional formula for energy? (2023)
-
A.
[M^1 L^2 T^-2]
-
B.
[M^1 L^1 T^-1]
-
C.
[M^0 L^2 T^-1]
-
D.
[M^2 L^1 T^-2]
Solution
Energy has the dimensional formula [M^1 L^2 T^-2], as it is defined as work done, which is force times distance.
Correct Answer:
A
— [M^1 L^2 T^-2]
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Q. Which of the following is the correct dimensional formula for frequency? (2021)
-
A.
[M^0 L^0 T^-1]
-
B.
[M^0 L^1 T^-1]
-
C.
[M^1 L^0 T^-1]
-
D.
[M^0 L^0 T^1]
Solution
Frequency has the dimensional formula [M^0 L^0 T^-1].
Correct Answer:
A
— [M^0 L^0 T^-1]
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Q. Which of the following is the correct expansion of (x - 3)²?
-
A.
x² - 6x + 9
-
B.
x² + 6x + 9
-
C.
x² - 9
-
D.
x² - 3
Solution
(x - 3)² = x² - 2(3)x + 3² = x² - 6x + 9.
Correct Answer:
A
— x² - 6x + 9
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Q. Which of the following is the correct expansion of (x - y)³?
-
A.
x³ - 3x²y + 3xy² - y³
-
B.
x³ - y³
-
C.
x³ - 3xy² + 3x²y - y³
-
D.
3x²y - 3xy²
Solution
(x - y)³ = x³ - 3x²y + 3xy² - y³ by the binomial theorem.
Correct Answer:
A
— x³ - 3x²y + 3xy² - y³
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Q. Which of the following is the correct expression for gravitational potential energy (U) of an object of mass m at a height h? (2020)
-
A.
mgh
-
B.
mg/h
-
C.
mgh^2
-
D.
m^2gh
Solution
The gravitational potential energy is given by U = mgh, where h is the height above the reference point.
Correct Answer:
A
— mgh
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Q. Which of the following is the correct expression for the van der Waals equation?
-
A.
(P + a(n/V)^2)(V - nb) = nRT
-
B.
(P - a(n/V)^2)(V + nb) = nRT
-
C.
PV = nRT + a(n/V)^2
-
D.
PV = nRT - nb
Solution
The van der Waals equation is (P + a(n/V)^2)(V - nb) = nRT.
Correct Answer:
A
— (P + a(n/V)^2)(V - nb) = nRT
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