Q. Which of the following is the odd one out: 3, 6, 9, 12, 15?
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Solution
All numbers except 12 are odd multiples of 3. 12 is even.
Correct Answer: D — 12
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Q. Which of the following is the odd one out? (2021)
A.
Copper
B.
Aluminum
C.
Iron
D.
Plastic
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Solution
Plastic is a polymer, while the others are metals.
Correct Answer: D — Plastic
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Q. Which of the following is the outermost layer of the Earth? (2022)
A.
Mantle
B.
Crust
C.
Outer Core
D.
Inner Core
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Solution
The Crust is the outermost layer of the Earth, lying above the mantle.
Correct Answer: B — Crust
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Q. Which of the following is the output of the expression NOT (A AND B) when A = 1 and B = 1?
A.
0
B.
1
C.
2
D.
Undefined
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Solution
First, evaluate A AND B which is 1 AND 1 = 1. Then NOT 1 = 0.
Correct Answer: A — 0
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Q. Which of the following is the oxidizing agent in the reaction: 2MnO4⁻ + 5C2O4²⁻ + 6H⁺ → 2Mn²⁺ + 10CO2 + 3H2O? (2022)
A.
MnO4⁻
B.
C2O4²⁻
C.
H⁺
D.
CO2
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Solution
In this reaction, MnO4⁻ is reduced to Mn²⁺, thus it acts as the oxidizing agent.
Correct Answer: A — MnO4⁻
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Q. Which of the following is the primary cause of the greenhouse effect?
A.
Deforestation
B.
Industrial emissions
C.
Agricultural practices
D.
All of the above
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Solution
The greenhouse effect is primarily caused by a combination of deforestation, industrial emissions, and agricultural practices that increase greenhouse gases in the atmosphere.
Correct Answer: D — All of the above
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Q. Which of the following is the primary muscle responsible for the flexion of the elbow joint? (2021)
A.
Biceps brachii
B.
Triceps brachii
C.
Brachialis
D.
Deltoid
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Solution
The biceps brachii is the primary muscle responsible for flexing the elbow joint.
Correct Answer: A — Biceps brachii
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Q. Which of the following is the primary muscle responsible for the movement of the arm at the shoulder joint? (2021)
A.
Biceps Brachii
B.
Triceps Brachii
C.
Deltoid
D.
Pectoralis Major
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Solution
The deltoid muscle is the primary muscle responsible for the abduction of the arm at the shoulder joint.
Correct Answer: C — Deltoid
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Q. Which of the following is the range of the function f(x) = x^2 - 4?
A.
(-∞, -4]
B.
[-4, ∞)
C.
(-4, ∞)
D.
[0, ∞)
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Solution
The minimum value of f(x) is -4 when x=0, so the range is [-4, ∞).
Correct Answer: B — [-4, ∞)
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Q. Which of the following is the range of the function f(x) = x^2?
A.
All real numbers
B.
All positive real numbers
C.
All non-negative real numbers
D.
All integers
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Solution
The function f(x) = x^2 is non-negative for all real x, hence the range is all non-negative real numbers.
Correct Answer: C — All non-negative real numbers
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Q. Which of the following is the range of the function f(x) = |x - 1|?
A.
(-∞, 1)
B.
[0, ∞)
C.
(-1, 1)
D.
[1, ∞)
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Solution
The minimum value of |x - 1| is 0 when x = 1, so the range is [0, ∞).
Correct Answer: B — [0, ∞)
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Q. Which of the following is the result of simplifying (2^3)^2?
A.
2^5
B.
2^6
C.
2^7
D.
2^8
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Solution
Using the power of a power property, (a^m)^n = a^(m*n), we get (2^3)^2 = 2^(3*2) = 2^6.
Correct Answer: B — 2^6
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Q. Which of the following is the simplest alkane?
A.
Methane
B.
Ethane
C.
Propane
D.
Butane
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Solution
Methane (CH4) is the simplest alkane, consisting of one carbon atom.
Correct Answer: A — Methane
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Q. Which of the following is the simplest alkene? (2021)
A.
Ethylene
B.
Propylene
C.
Butylene
D.
Pentylene
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Solution
Ethylene (C2H4) is the simplest alkene, containing a double bond between two carbon atoms.
Correct Answer: A — Ethylene
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Q. Which of the following is the simplest alkyne?
A.
Ethylene
B.
Acetylene
C.
Propylene
D.
Butyne
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Solution
Acetylene (C2H2) is the simplest alkyne.
Correct Answer: B — Acetylene
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Q. Which of the following is the simplest carboxylic acid? (2020)
A.
Methanoic acid
B.
Ethanoic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
Methanoic acid (HCOOH) is the simplest carboxylic acid, containing only one carbon atom.
Correct Answer: A — Methanoic acid
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Q. Which of the following is the simplest ether? (2020)
A.
Dimethyl ether
B.
Diethyl ether
C.
Ethyl methyl ether
D.
Propyl ether
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Solution
Dimethyl ether (CH3-O-CH3) is the simplest ether, consisting of two methyl groups bonded to an oxygen atom.
Correct Answer: A — Dimethyl ether
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Q. Which of the following is the simplest ketone?
A.
Ethanal
B.
Propanal
C.
Butan-2-one
D.
Acetone
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Solution
Acetone (propan-2-one) is the simplest ketone, with the formula (CH3)2CO.
Correct Answer: D — Acetone
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Q. Which of the following is the smallest multiple of 7 that is greater than 50?
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Solution
The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, ... The smallest multiple greater than 50 is 56.
Correct Answer: A — 56
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Q. Which of the following is the smallest positive integer? (2023)
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Solution
The smallest positive integer is 1.
Correct Answer: B — 1
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Q. Which of the following is the smallest Union Territory of India by area?
A.
Chandigarh
B.
Lakshadweep
C.
Dadra and Nagar Haveli
D.
Delhi
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Solution
Lakshadweep is the smallest Union Territory of India by area.
Correct Answer: B — Lakshadweep
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Q. Which of the following is the solution set for the inequality x + 2 > 1?
A.
x > -1
B.
x < -1
C.
x > 1
D.
x < 1
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Solution
x + 2 > 1 => x > -1.
Correct Answer: A — x > -1
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Q. Which of the following is the solution set for the inequality x + 2 > 7?
A.
x > 5
B.
x < 5
C.
x > 9
D.
x < 9
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Solution
x + 2 > 7 => x > 5.
Correct Answer: A — x > 5
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Q. Which of the following is the solution set for the inequality x + 5 > 2?
A.
x > -3
B.
x < -3
C.
x > 3
D.
x < 3
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Solution
x + 5 > 2 => x > -3.
Correct Answer: A — x > -3
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Q. Which of the following is the solution set for the inequality: 3x + 2 > 11?
A.
x > 3
B.
x < 3
C.
x > 2
D.
x < 2
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Solution
3x + 2 > 11 => 3x > 9 => x > 3.
Correct Answer: A — x > 3
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Q. Which of the following is the solution to the inequality 3x + 2 ≥ 11?
A.
x < 3
B.
x > 3
C.
x ≤ 3
D.
x ≥ 3
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Solution
3x + 2 ≥ 11 => 3x ≥ 9 => x ≥ 3.
Correct Answer: D — x ≥ 3
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Q. Which of the following is the solution to the inequality x + 2 > 7?
A.
x < 5
B.
x > 5
C.
x < 9
D.
x > 9
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Solution
x + 2 > 7 => x > 5.
Correct Answer: B — x > 5
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Q. Which of the following is the strongest acid?
A.
Formic acid
B.
Acetic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
Formic acid (HCOOH) is stronger than acetic acid (CH3COOH) due to the presence of a hydrogen atom directly attached to the carbonyl carbon, which stabilizes the conjugate base.
Correct Answer: A — Formic acid
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Q. Which of the following is the strongest carboxylic acid? (2022)
A.
Formic acid
B.
Acetic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
Formic acid (HCOOH) is the strongest carboxylic acid among the given options due to the presence of a hydrogen atom directly attached to the carbonyl carbon, which increases its acidity.
Correct Answer: A — Formic acid
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Q. Which of the following is the truth table for an AND gate?
A.
00, 01, 10, 11
B.
00, 01, 11, 10
C.
00, 10, 01, 11
D.
00, 11, 01, 10
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Solution
The truth table for an AND gate is: 00 -> 0, 01 -> 0, 10 -> 0, 11 -> 1.
Correct Answer: A — 00, 01, 10, 11
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