Q. What is the nature of the image formed by a plane mirror?
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
A plane mirror always forms a virtual and erect image, as the image appears behind the mirror at the same distance as the object.
Correct Answer:
B
— Virtual and erect
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Q. What is the nature of the roots of the equation x² + 2x + 5 = 0? (2023)
A.
Real and distinct
B.
Real and equal
C.
Complex
D.
None of the above
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Solution
The discriminant D = 2² - 4*1*5 = 4 - 20 = -16, which indicates complex roots.
Correct Answer:
C
— Complex
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Q. What is the Nernst equation for a cell at 298 K with E° = 0.77 V and [Zn²⁺] = 0.01 M?
A.
E = 0.77 - 0.0591 log(0.01)
B.
E = 0.77 + 0.0591 log(0.01)
C.
E = 0.77 - 0.0591 log(100)
D.
E = 0.77 + 0.0591 log(100)
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Solution
Using the Nernst equation: E = E° - (0.0591/n) log([Zn²⁺]), where n=2.
Correct Answer:
A
— E = 0.77 - 0.0591 log(0.01)
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Q. What is the Nernst equation used for calculating the cell potential at non-standard conditions? (2023)
A.
E = E° - (RT/nF)lnQ
B.
E = E° + (RT/nF)lnQ
C.
E = E° - (nF/RT)lnQ
D.
E = E° + (nF/RT)lnQ
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Solution
The Nernst equation is E = E° - (RT/nF)lnQ, where E is the cell potential, E° is the standard potential, R is the gas constant, T is the temperature, n is the number of moles of electrons, and F is Faraday's constant.
Correct Answer:
A
— E = E° - (RT/nF)lnQ
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Q. What is the Nernst equation used for?
A.
Calculating pH
B.
Determining cell potential
C.
Finding molarity
D.
Measuring temperature
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Solution
The Nernst equation is used to determine the cell potential under non-standard conditions.
Correct Answer:
B
— Determining cell potential
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Q. What is the Nernst equation used for? (2023) 2023
A.
Calculating pH
B.
Determining cell potential
C.
Measuring current
D.
Finding resistance
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Solution
The Nernst equation is used to determine the cell potential under non-standard conditions.
Correct Answer:
B
— Determining cell potential
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Q. What is the net force acting on a 12 kg object moving with a constant velocity? (2023)
A.
0 N
B.
12 N
C.
24 N
D.
36 N
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Solution
According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.
Correct Answer:
A
— 0 N
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Q. What is the net force acting on a 15 kg object moving with a constant velocity? (2021)
A.
0 N
B.
15 N
C.
30 N
D.
45 N
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Solution
If the object is moving with constant velocity, net force is 0 N (Newton's first law).
Correct Answer:
A
— 0 N
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Q. What is the net force acting on a 15 kg object that is accelerating at 4 m/s²? (2020)
A.
60 N
B.
30 N
C.
45 N
D.
75 N
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Solution
Net force F = m × a = 15 kg × 4 m/s² = 60 N.
Correct Answer:
A
— 60 N
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Q. What is the net force acting on an object at rest?
A.
Zero
B.
Equal to its weight
C.
Equal to its mass
D.
Equal to the applied force
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Solution
An object at rest has no net force acting on it, according to Newton's first law.
Correct Answer:
A
— Zero
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Q. What is the net gain of ATP from one molecule of glucose during aerobic respiration? (2023)
A.
2 ATP
B.
30-32 ATP
C.
36 ATP
D.
38 ATP
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Solution
The net gain of ATP from one molecule of glucose during aerobic respiration is approximately 30-32 ATP, depending on the efficiency of the process.
Correct Answer:
B
— 30-32 ATP
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Q. What is the net gain of ATP molecules from one molecule of glucose during aerobic respiration? (2023)
A.
2
B.
18
C.
30-32
D.
36
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Solution
The net gain of ATP molecules from one molecule of glucose during aerobic respiration is approximately 30-32 ATP.
Correct Answer:
C
— 30-32
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Q. What is the next figure in the series? A, B, C, ?
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Solution
The series follows an alphabetical order, so the next figure is D.
Correct Answer:
D
— G
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Q. What is the next letter in the series: A, C, E, G, ?
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Solution
The pattern is that each letter is two places ahead in the alphabet. G + 2 = I.
Correct Answer:
A
— H
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Q. What is the next letter in the series: D, F, H, J, ?
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Solution
The series consists of every second letter in the alphabet: D, F, H, J, L.
Correct Answer:
A
— K
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Q. What is the next letter in the series: Z, Y, X, W, ...?
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Solution
The series goes backward in the alphabet, so the next letter is V.
Correct Answer:
A
— V
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Q. What is the next number in the series: 1, 1, 2, 3, 5, ...? (2023)
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Solution
The series is the Fibonacci sequence where each number is the sum of the two preceding ones. The next number is 3 + 5 = 8.
Correct Answer:
A
— 6
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Q. What is the next number in the series: 1, 2, 4, 7, 11, ?
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Solution
The differences are 1, 2, 3, 4, which increase by 1 each time. 11 + 3 = 14.
Correct Answer:
A
— 14
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Q. What is the next number in the series: 1, 4, 9, 16, ...? (2023)
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Solution
The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2. The next number is 5^2 = 25.
Correct Answer:
B
— 25
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Q. What is the next number in the series: 10, 20, 30, 40, ?
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Solution
The series increases by 10 each time: 10, 20, 30, 40, next is 50.
Correct Answer:
B
— 50
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Q. What is the next number in the series: 10, 20, 30, 50, ...? (2023)
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Solution
The series adds 10, 10, and then 20. The next addition is 30, so 50 + 30 = 80.
Correct Answer:
C
— 80
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Q. What is the next number in the series: 12, 24, 36, 48, ...? (2023)
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Solution
The series increases by 12 each time. The next number is 48 + 12 = 60.
Correct Answer:
C
— 72
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Q. What is the next number in the series: 2, 4, 8, 16, ?
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Solution
The series is a geometric progression where each number is multiplied by 2. Therefore, 16 * 2 = 32.
Correct Answer:
C
— 32
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Q. What is the next number in the series: 3, 6, 11, 18, ...? (2023)
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Solution
The differences between the numbers are 3, 5, 7, which increase by 2 each time. The next difference is 9, so 18 + 9 = 27.
Correct Answer:
B
— 26
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Q. What is the next number in the series: 5, 10, 20, 40, ...? (2023)
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Solution
The series is a geometric progression where each number is multiplied by 2. The next number is 40 * 2 = 80.
Correct Answer:
D
— 80
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Q. What is the next number in the series: 7, 14, 28, 56, ...? (2023)
A.
70
B.
112
C.
140
D.
168
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Solution
The series is a geometric progression where each number is multiplied by 2. The next number is 56 * 2 = 112.
Correct Answer:
B
— 112
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Q. What is the next prime number after 7?
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Solution
The next prime number after 7 is 11.
Correct Answer:
D
— 11
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Q. What is the next shape in the sequence? (2022)
A.
Shape A
B.
Shape B
C.
Shape C
D.
Shape D
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Solution
Shape B follows the sequence logically based on the previous shapes.
Correct Answer:
B
— Shape B
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Q. What is the next term in the sequence: 3, 6, 11, 18, ?
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Solution
The differences are 3, 5, 7, which increase by 2 each time. 18 + 8 = 26.
Correct Answer:
B
— 26
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Q. What is the next term in the series: 2, 3, 5, 7, ?
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Solution
These are prime numbers: 2, 3, 5, 7, next is 11.
Correct Answer:
C
— 11
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