MHT-CET
Q. What is the total number of moles in 2 liters of a 3 M solution? (2022)
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A.
3 moles
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B.
6 moles
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C.
1.5 moles
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D.
4 moles
Solution
Moles = Molarity * Volume = 3 mol/L * 2 L = 6 moles.
Correct Answer: B — 6 moles
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Q. What is the total power consumed in a circuit with two 10Ω resistors in series connected to a 20V source? (2020)
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A.
20W
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B.
40W
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C.
10W
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D.
30W
Solution
Total resistance R = 10Ω + 10Ω = 20Ω. Power P = V²/R = 20² / 20 = 20W.
Correct Answer: B — 40W
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Q. What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)
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A.
90W
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B.
60W
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C.
30W
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D.
45W
Solution
Total resistance R = 5Ω + 5Ω = 10Ω; Power P = V²/R = 30²/10 = 90W.
Correct Answer: B — 60W
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Q. What is the total resistance in a circuit with a 10Ω resistor and a 20Ω resistor in series? (2022)
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A.
30Ω
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B.
20Ω
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C.
10Ω
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D.
15Ω
Solution
In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.
Correct Answer: A — 30Ω
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Q. What is the total resistance in a series circuit with resistors of 2Ω, 3Ω, and 5Ω?
Solution
In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω.
Correct Answer: A — 10Ω
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Q. What is the total resistance of two resistors of 4Ω and 6Ω connected in parallel? (2021)
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A.
2.4Ω
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B.
10Ω
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C.
24Ω
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D.
1.5Ω
Solution
For parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6. Finding a common denominator gives R_eq = 2.4Ω.
Correct Answer: A — 2.4Ω
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Q. What is the Tyndall effect? (2023)
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A.
Scattering of light by particles
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B.
Absorption of light by particles
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C.
Reflection of light by particles
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D.
Refraction of light by particles
Solution
The Tyndall effect is the scattering of light by colloidal particles, making the path of the light visible.
Correct Answer: A — Scattering of light by particles
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Q. What is the unit of electric charge in the SI system? (2019)
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A.
Coulomb
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B.
Ampere
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C.
Volt
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D.
Ohm
Solution
The unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
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Q. What is the unit of electrical conductivity? (2023)
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A.
Ohm
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B.
Siemens
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C.
Volt
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D.
Ampere
Solution
The unit of electrical conductivity is Siemens (S).
Correct Answer: B — Siemens
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Q. What is the unit of the rate constant for a first-order reaction? (2023)
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A.
M/s
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B.
M²/s
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C.
s⁻¹
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D.
M⁻¹s⁻¹
Solution
The unit of the rate constant for a first-order reaction is s⁻¹.
Correct Answer: C — s⁻¹
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Q. What is the unit of work in the SI system? (2023)
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A.
Joule
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B.
Newton
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C.
Watt
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D.
Pascal
Solution
The SI unit of work is Joule (J).
Correct Answer: A — Joule
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Q. What is the valency of Magnesium? (2015)
Solution
Magnesium has a valency of 2, as it can lose two electrons.
Correct Answer: B — 2
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Q. What is the valency of Oxygen? (2021)
Solution
Oxygen has a valency of 2, as it needs two electrons to complete its outer shell.
Correct Answer: B — 2
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Q. What is the value of (1 + i)(1 - i)? (2019)
Solution
(1 + i)(1 - i) = 1^2 - i^2 = 1 - (-1) = 1 + 1 = 2.
Correct Answer: A — 2
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Q. What is the value of (2 + 3) × (4 - 1)? (2023)
Solution
Using BODMAS: (2 + 3) = 5 and (4 - 1) = 3, so 5 × 3 = 15.
Correct Answer: C — 10
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Q. What is the value of (2 + 3)^3?
Solution
Using the binomial theorem, (2 + 3)^3 = C(3,0)(2)^3 + C(3,1)(2)^2(3) + C(3,2)(2)(3)^2 + C(3,3)(3)^3 = 8 + 36 + 54 + 27 = 125.
Correct Answer: B — 30
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Q. What is the value of (2 + 3i) / (1 + i)? (2015)
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A.
1 + 2i
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B.
2 - i
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C.
3 + 2i
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D.
1 - 2i
Solution
Multiply numerator and denominator by the conjugate of the denominator: (2 + 3i)(1 - i) / (1 + i)(1 - i) = (2 - 2i + 3i + 3) / (1 + 1) = (5 + i) / 2 = 2.5 + 0.5i.
Correct Answer: B — 2 - i
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Q. What is the value of (2 + 3i)(2 - 3i)? (2019)
Solution
Using the difference of squares: (a + b)(a - b) = a² - b². Here, (2)² - (3i)² = 4 - (-9) = 4 + 9 = 13.
Correct Answer: A — 13
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Q. What is the value of (2 - 3)^5?
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A.
-1
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B.
-32
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C.
-243
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D.
-125
Solution
Using the binomial theorem, (2 - 3)^5 = (-1)^5 = -1.
Correct Answer: D — -125
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Q. What is the value of (3 + 4i) / (1 + i)? (2021)
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A.
2 + i
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B.
1 + 2i
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C.
3 - 4i
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D.
1 - i
Solution
Multiplying numerator and denominator by the conjugate of the denominator: (3 + 4i)(1 - i) / (1 + i)(1 - i) = (3 - 3i + 4i + 4) / 2 = (7 + i) / 2 = 2 + i.
Correct Answer: A — 2 + i
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Q. What is the value of (3 + 5) × (2 + 4)? (2020)
Solution
(3 + 5) = 8 and (2 + 4) = 6, so 8 × 6 = 48.
Correct Answer: B — 56
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Q. What is the value of (3 + 5) × (2 - 1)? (2020)
Solution
(3 + 5) = 8 and (2 - 1) = 1, so 8 × 1 = 8.
Correct Answer: A — 8
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Q. What is the value of (3 + 5) × (6 - 2)? (2020)
Solution
(3 + 5) = 8 and (6 - 2) = 4, so 8 × 4 = 32.
Correct Answer: B — 24
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Q. What is the value of (3 + 5) × 2? (2023)
Solution
(3 + 5) × 2 = 8 × 2 = 16.
Correct Answer: B — 14
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Q. What is the value of (3^3) - (2^3)? (2016)
Solution
3^3 = 27 and 2^3 = 8, so 27 - 8 = 19.
Correct Answer: A — 19
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Q. What is the value of (x + 1)^5 when x = 2?
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A.
32
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B.
64
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C.
128
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D.
256
Solution
Using the binomial theorem, (x + 1)^5 = C(5,0)(2)^5 + C(5,1)(2)^4 + C(5,2)(2)^3 + C(5,3)(2)^2 + C(5,4)(2)^1 + C(5,5)(2)^0 = 32 + 80 + 80 + 40 + 10 + 1 = 243.
Correct Answer: C — 128
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Q. What is the value of 100 - 37? (2014)
Q. What is the value of 100 ÷ 4 + 6? (2023) 2023
Solution
100 ÷ 4 = 25, so 25 + 6 = 31.
Correct Answer: C — 28
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Q. What is the value of 12 × 12? (2020)
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A.
144
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B.
124
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C.
156
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D.
132
Solution
12 × 12 = 144.
Correct Answer: A — 144
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Q. What is the value of 12 × 8? (2020)
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