Major Competitive Exams
Q. What is the vertex of the parabola represented by the equation y = x² - 4x + 3? (2022)
-
A.
(2, -1)
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B.
(2, 1)
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C.
(1, 2)
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D.
(3, 0)
Solution
The vertex can be found using the formula x = -b/2a. Here, x = 2, and substituting back gives y = -1.
Correct Answer: A — (2, -1)
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Q. What is the vertex of the parabola represented by the equation y = x² - 6x + 8? (2023)
-
A.
(3, -1)
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B.
(3, -5)
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C.
(2, -4)
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D.
(2, -2)
Solution
The vertex can be found using the formula x = -b/2a = 6/2 = 3. Substituting x = 3 into the equation gives y = -1.
Correct Answer: A — (3, -1)
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Q. What is the viscosity of water at 20°C?
-
A.
0.001 Pa·s
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B.
0.01 Pa·s
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C.
0.1 Pa·s
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D.
1 Pa·s
Solution
The viscosity of water at 20°C is approximately 0.001 Pa·s.
Correct Answer: A — 0.001 Pa·s
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Q. What is the voltage across a 10 ohm resistor carrying a current of 0.5 A?
-
A.
5 V
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B.
10 V
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C.
15 V
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D.
20 V
Solution
Using Ohm's law, V = I * R = 0.5 A * 10 Ω = 5 V.
Correct Answer: A — 5 V
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Q. What is the voltage across a 10Ω resistor carrying a current of 3A? (2022)
-
A.
30V
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B.
20V
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C.
10V
-
D.
15V
Solution
Using Ohm's law, V = IR = 3A * 10Ω = 30V.
Correct Answer: A — 30V
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Q. What is the voltage across a 12Ω resistor carrying a current of 1.5A? (2023)
-
A.
18V
-
B.
12V
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C.
6V
-
D.
24V
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer: A — 18V
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Q. What is the voltage across a 12Ω resistor carrying a current of 3A? (2023)
-
A.
36V
-
B.
24V
-
C.
12V
-
D.
18V
Solution
Using Ohm's law, V = IR = 3A * 12Ω = 36V.
Correct Answer: A — 36V
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Q. What is the voltage across a 5Ω resistor carrying a current of 3A? (2023)
-
A.
15V
-
B.
10V
-
C.
5V
-
D.
20V
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer: A — 15V
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Q. What is the voltage drop across a 3 ohm resistor carrying a current of 2 A?
-
A.
3 V
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B.
6 V
-
C.
9 V
-
D.
12 V
Solution
Using Ohm's law, V = I * R = 2 A * 3 ohms = 6 V.
Correct Answer: B — 6 V
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Q. What is the voltage drop across a 5 ohm resistor carrying a current of 2 A?
-
A.
5 V
-
B.
10 V
-
C.
15 V
-
D.
20 V
Solution
Using Ohm's law, V = I * R = 2 A * 5 ohms = 10 V.
Correct Answer: B — 10 V
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Q. What is the voltage drop across a 5 ohm resistor carrying a current of 3 A?
-
A.
15 V
-
B.
10 V
-
C.
5 V
-
D.
20 V
Solution
Using Ohm's law, V = I * R = 3 A * 5Ω = 15 V.
Correct Answer: A — 15 V
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Q. What is the voltage drop across a 5Ω resistor carrying a current of 3A?
-
A.
5V
-
B.
10V
-
C.
15V
-
D.
20V
Solution
Using Ohm's law, V = I * R = 3A * 5Ω = 15V.
Correct Answer: C — 15V
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Q. What is the volume occupied by 1 mole of an ideal gas at STP (Standard Temperature and Pressure)?
-
A.
22.4 L
-
B.
24.0 L
-
C.
18.0 L
-
D.
20.0 L
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume occupied by 1 mole of an ideal gas at STP?
-
A.
22.4 L
-
B.
24 L
-
C.
20 L
-
D.
18 L
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume occupied by 4 moles of an ideal gas at STP?
-
A.
22.4 L
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B.
44.8 L
-
C.
67.2 L
-
D.
89.6 L
Solution
At STP, 1 mole of gas occupies 22.4 L. Therefore, 4 moles occupy 4 x 22.4 L = 89.6 L.
Correct Answer: B — 44.8 L
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Q. What is the volume of 0.2 M NaOH required to neutralize 0.1 M HCl in 250 mL? (2020)
-
A.
125 mL
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B.
250 mL
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C.
500 mL
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D.
100 mL
Solution
Using the formula M1V1 = M2V2, (0.1 M)(0.25 L) = (0.2 M)(V2). V2 = 0.125 L = 125 mL.
Correct Answer: A — 125 mL
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Q. What is the volume of 1 liter in cubic meters?
-
A.
0.001
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B.
0.01
-
C.
1
-
D.
1000
Solution
1 liter is equal to 0.001 cubic meters.
Correct Answer: A — 0.001
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Q. What is the volume of 1 M HCl solution needed to obtain 0.5 moles of HCl? (2022)
-
A.
0.5 L
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B.
1 L
-
C.
2 L
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D.
0.25 L
Solution
Volume = moles / molarity = 0.5 moles / 1 M = 0.5 L.
Correct Answer: A — 0.5 L
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Q. What is the volume of 1 M NaOH solution required to obtain 0.5 moles of NaOH?
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A.
0.5 L
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B.
1 L
-
C.
2 L
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D.
0.25 L
Solution
Using the formula M = moles/volume, Volume = moles/M = 0.5 moles / 1 M = 0.5 L.
Correct Answer: A — 0.5 L
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Q. What is the volume of 1 mole of an ideal gas at STP (Standard Temperature and Pressure)?
-
A.
22.4 L
-
B.
24.0 L
-
C.
18.0 L
-
D.
20.0 L
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume of 1 mole of an ideal gas at STP?
-
A.
22.4 L
-
B.
24 L
-
C.
10 L
-
D.
1 L
Solution
At STP (Standard Temperature and Pressure), 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume of 1 mole of an ideal gas at STP? (2019) 2019
-
A.
22.4 L
-
B.
24 L
-
C.
1 L
-
D.
10 L
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume of 1 mole of gas at STP?
-
A.
22.4 L
-
B.
24 L
-
C.
20 L
-
D.
18 L
Solution
At STP, 1 mole of gas occupies 22.4 liters.
Correct Answer: A — 22.4 L
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Q. What is the volume of 4 moles of an ideal gas at STP?
-
A.
22.4 L
-
B.
44.8 L
-
C.
89.6 L
-
D.
112 L
Solution
Volume = moles x volume per mole = 4 moles x 22.4 L/mole = 89.6 L.
Correct Answer: C — 89.6 L
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Q. What is the volume of a 2 M NaOH solution needed to obtain 4 moles of NaOH? (2021) 2021
-
A.
2 L
-
B.
1 L
-
C.
0.5 L
-
D.
4 L
Solution
Volume (L) = moles / molarity = 4 moles / 2 M = 2 L.
Correct Answer: A — 2 L
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Q. What is the volume of a 2 M solution that contains 4 moles of solute?
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A.
2 L
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B.
4 L
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C.
1 L
-
D.
0.5 L
Solution
Volume = moles of solute / molarity = 4 moles / 2 M = 2 L.
Correct Answer: B — 4 L
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Q. What is the volume of a cube with a side length of 2 meters?
-
A.
4 m³
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B.
6 m³
-
C.
8 m³
-
D.
10 m³
Solution
Volume = side³ = 2³ = 8 m³.
Correct Answer: C — 8 m³
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Q. What is the volume of a cube with a side length of 3 cm?
-
A.
9 cm³
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B.
18 cm³
-
C.
27 cm³
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D.
36 cm³
Solution
The volume of a cube is given by side³, so 3 cm³ = 27 cm³.
Correct Answer: C — 27 cm³
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Q. What is the volume of a cube with side length 3 units? (2023)
Solution
Volume = side³ = 3³ = 27 cubic units.
Correct Answer: B — 27
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Q. What is the volume of a cylinder with radius 2 and height 5? (2023)
-
A.
20π
-
B.
10π
-
C.
15π
-
D.
25π
Solution
Volume = πr²h = π(2²)(5) = 20π cubic units.
Correct Answer: A — 20π
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