Q. Which of the following is the correct unit for measuring energy?
A.
Joule
B.
Newton
C.
Watt
D.
Pascal
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Solution
The correct unit for measuring energy is Joule (J).
Correct Answer: A — Joule
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Q. Which of the following is the correct unit for measuring the amount of substance?
A.
Liter
B.
Gram
C.
Mole
D.
Cubic meter
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Solution
The mole is the SI unit for measuring the amount of substance.
Correct Answer: C — Mole
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Q. Which of the following is the correct unit for molality?
A.
mol/L
B.
mol/kg
C.
mol/mL
D.
mol/1000g
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Solution
Molality is defined as moles of solute per kilogram of solvent, hence the unit is mol/kg.
Correct Answer: B — mol/kg
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Q. Which of the following is the correct unit for molarity?
A.
mol/L
B.
mol/kg
C.
g/L
D.
g/mol
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Solution
Molarity is defined as moles of solute per liter of solution, hence the unit is mol/L.
Correct Answer: A — mol/L
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Q. Which of the following is the equation of a hyperbola with transverse axis along the x-axis?
A.
x^2/a^2 - y^2/b^2 = 1
B.
y^2/a^2 - x^2/b^2 = 1
C.
x^2/b^2 - y^2/a^2 = 1
D.
y^2/b^2 - x^2/a^2 = 1
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Solution
The equation of a hyperbola with transverse axis along the x-axis is x^2/a^2 - y^2/b^2 = 1.
Correct Answer: A — x^2/a^2 - y^2/b^2 = 1
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Q. Which of the following is the equation of an ellipse with foci at (0, ±c) and vertices at (0, ±a)?
A.
x^2/a^2 + y^2/b^2 = 1
B.
y^2/a^2 + x^2/b^2 = 1
C.
x^2/b^2 + y^2/a^2 = 1
D.
y^2/b^2 + x^2/a^2 = 1
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Solution
The equation of an ellipse with foci at (0, ±c) and vertices at (0, ±a) is y^2/a^2 + x^2/b^2 = 1.
Correct Answer: A — x^2/a^2 + y^2/b^2 = 1
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Q. Which of the following is the functional group of aldehydes?
A.
-CHO
B.
-CO-
C.
-C=O
D.
-OH
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Solution
Aldehydes contain the functional group -CHO, which is characterized by a carbonyl group (C=O) bonded to a hydrogen atom.
Correct Answer: A — -CHO
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Q. Which of the following is the functional group of carboxylic acids?
A.
-OH
B.
-COOH
C.
-CHO
D.
-C=O
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Solution
Carboxylic acids contain the -COOH functional group.
Correct Answer: B — -COOH
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Q. Which of the following is the functional group present in alcohols?
A.
-OH
B.
-COOH
C.
-NH2
D.
-CHO
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Solution
Alcohols contain the hydroxyl group (-OH) as their functional group.
Correct Answer: A — -OH
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Q. Which of the following is the general formula for alkenes?
A.
C_nH_(2n)
B.
C_nH_(2n+2)
C.
C_nH_(2n-2)
D.
C_nH_n
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Solution
The general formula for alkenes is C_nH_(2n), where n is the number of carbon atoms.
Correct Answer: A — C_nH_(2n)
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Q. Which of the following is the general formula for alkynes?
A.
C_nH_(2n+2)
B.
C_nH_(2n)
C.
C_nH_(2n-2)
D.
C_nH_(2n-1)
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Solution
The general formula for alkynes is C_nH_(2n-2), where n is the number of carbon atoms.
Correct Answer: C — C_nH_(2n-2)
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Q. Which of the following is the heaviest alkali metal?
A.
Lithium
B.
Sodium
C.
Potassium
D.
Cesium
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Solution
Cesium (Cs) is the heaviest alkali metal.
Correct Answer: D — Cesium
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Q. Which of the following is the molecular formula for butane?
A.
C3H8
B.
C4H10
C.
C5H12
D.
C6H14
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Solution
Butane has the molecular formula C4H10.
Correct Answer: B — C4H10
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Q. Which of the following is the most electronegative element in the p-block?
A.
Fluorine
B.
Chlorine
C.
Oxygen
D.
Nitrogen
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Solution
Fluorine is the most electronegative element in the p-block.
Correct Answer: A — Fluorine
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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 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 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 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 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 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 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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Q. Which of the following is true about a buffer solution?
A.
Resists changes in pH
B.
Has a pH of 7
C.
Contains only strong acids
D.
Is always neutral
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Solution
A buffer solution resists changes in pH upon the addition of small amounts of acid or base.
Correct Answer: A — Resists changes in pH
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