Engineering Entrance
Q. What is the product of the complex numbers 2 + 3i and 4 - i? (2021)
A.
11 + 10i
B.
14 + 5i
C.
5 + 10i
D.
10 + 5i
Show solution
Solution
(2 + 3i)(4 - i) = 8 - 2i + 12i - 3i^2 = 8 + 10i + 3 = 11 + 10i.
Correct Answer: A — 11 + 10i
Learn More →
Q. What is the product of the oxidation of 2-Propanol? (2022)
A.
Acetone
B.
Ethanol
C.
Propanoic acid
D.
Methanol
Show solution
Solution
2-Propanol oxidizes to form Acetone, which is a ketone.
Correct Answer: A — Acetone
Learn More →
Q. What is the product of the oxidation of a primary alcohol? (2020) 2020
A.
Aldehyde
B.
Ketone
C.
Carboxylic acid
D.
Alkene
Show solution
Solution
The oxidation of a primary alcohol first produces an aldehyde, which can further oxidize to a carboxylic acid.
Correct Answer: A — Aldehyde
Learn More →
Q. What is the product of the oxidation of a primary alcohol? (2023) 2023
A.
Aldehyde
B.
Ketone
C.
Carboxylic acid
D.
Alkane
Show solution
Solution
The oxidation of a primary alcohol results in the formation of an aldehyde.
Correct Answer: A — Aldehyde
Learn More →
Q. What is the product of the oxidation of ethanol?
A.
Acetic acid
B.
Methanol
C.
Butanoic acid
D.
Propanoic acid
Show solution
Solution
Ethanol oxidizes to acetic acid when reacted with an oxidizing agent.
Correct Answer: A — Acetic acid
Learn More →
Q. What is the product of the oxidation of propan-2-ol?
A.
Propanal
B.
Acetone
C.
Propanoic acid
D.
Butan-2-one
Show solution
Solution
Propan-2-ol oxidizes to form Acetone (CH3COCH3).
Correct Answer: B — Acetone
Learn More →
Q. What is the product of the reaction between 1-bromobutane and sodium hydroxide in ethanol? (2021)
A.
Butanol
B.
Butyl bromide
C.
Butyl ether
D.
Butyric acid
Show solution
Solution
The reaction of 1-bromobutane with sodium hydroxide in ethanol leads to the formation of butanol through nucleophilic substitution.
Correct Answer: A — Butanol
Learn More →
Q. What is the product of the reaction between 1-bromopropane and sodium hydroxide in ethanol?
A.
Propene
B.
1-Propanol
C.
2-Propanol
D.
No reaction
Show solution
Solution
1-bromopropane reacts with sodium hydroxide in ethanol to form 1-Propanol via nucleophilic substitution.
Correct Answer: B — 1-Propanol
Learn More →
Q. What is the product of the reaction between ammonia and ethyl bromide?
A.
Ethylamine
B.
Diethylamine
C.
Triethylamine
D.
Ammonium bromide
Show solution
Solution
The reaction produces Ethylamine as ammonia acts as a nucleophile and replaces the bromine atom.
Correct Answer: A — Ethylamine
Learn More →
Q. What is the product of the reaction between an amine and an acid?
A.
Amide
B.
Salt
C.
Ester
D.
Alcohol
Show solution
Solution
The reaction between an amine and an acid produces a salt, as the amine acts as a base and accepts a proton from the acid.
Correct Answer: B — Salt
Learn More →
Q. What is the product of the reaction between benzaldehyde and phenylmagnesium bromide?
A.
Benzyl alcohol
B.
Benzophenone
C.
Diphenylmethanol
D.
Benzene
Show solution
Solution
The reaction produces Diphenylmethanol when benzaldehyde reacts with phenylmagnesium bromide.
Correct Answer: C — Diphenylmethanol
Learn More →
Q. What is the product of the reduction of Cr2O7^2- in acidic medium?
A.
CrO4^2-
B.
Cr^3+
C.
CrO3
D.
CrO2
Show solution
Solution
In acidic medium, Cr2O7^2- is reduced to Cr^3+.
Correct Answer: B — Cr^3+
Learn More →
Q. What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)
Show solution
Solution
The product of the roots is given by c/a = 9/3 = 3.
Correct Answer: B — 3
Learn More →
Q. What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014
Show solution
Solution
The product of the roots is c/a = 6/1 = 6.
Correct Answer: A — 6
Learn More →
Q. What is the product of the roots of the equation x² + 5x + 6 = 0? (2022)
Show solution
Solution
The product of the roots is given by c/a = 6/1 = 6.
Correct Answer: A — 6
Learn More →
Q. What is the product of the roots of the equation x² - 10x + 24 = 0? (2021)
Show solution
Solution
The product of the roots is given by c/a = 24/1 = 24.
Correct Answer: A — 24
Learn More →
Q. What is the projection of vector A = 3i + 4j onto vector B = i + j? (2020)
Show solution
Solution
proj_B(A) = (A · B / |B|^2)B = ((3*1 + 4*1) / (1^2 + 1^2))(i + j) = (7/2)(i + j) = 3.5.
Correct Answer: C — 5
Learn More →
Q. What is the radius of a circle if the area is 154 square units? (2023)
A.
7 units
B.
14 units
C.
11 units
D.
10 units
Show solution
Solution
Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.
Correct Answer: A — 7 units
Learn More →
Q. What is the radius of a circle if the diameter is 14 cm? (2021)
A.
7 cm
B.
14 cm
C.
21 cm
D.
28 cm
Show solution
Solution
Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.
Correct Answer: A — 7 cm
Learn More →
Q. What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)
A.
0.0693 min⁻¹
B.
0.1 min⁻¹
C.
0.693 min⁻¹
D.
0.5 min⁻¹
Show solution
Solution
For a first-order reaction, k = 0.693 / t₁/₂. Here, t₁/₂ = 10 min, so k = 0.693 / 10 = 0.0693 min⁻¹.
Correct Answer: A — 0.0693 min⁻¹
Learn More →
Q. What is the rate law expression for a reaction that is first order with respect to A and second order with respect to B? (2022)
A.
Rate = k[A][B]^2
B.
Rate = k[A]^2[B]
C.
Rate = k[A]^2[B]^2
D.
Rate = k[A][B]
Show solution
Solution
The rate law for a reaction is determined by the order with respect to each reactant. For a first order with respect to A and second order with respect to B, the rate law is Rate = k[A][B]^2.
Correct Answer: A — Rate = k[A][B]^2
Learn More →
Q. What is the rate law expression for a reaction that is second order with respect to reactant A? (2023)
A.
Rate = k[A]
B.
Rate = k[A]^2
C.
Rate = k[A]^2[B]
D.
Rate = k[A][B]
Show solution
Solution
For a second order reaction with respect to A, the rate law is expressed as Rate = k[A]^2.
Correct Answer: B — Rate = k[A]^2
Learn More →
Q. What is the rate law for a reaction that is first order with respect to A and second order with respect to B? (2022) 2022
A.
Rate = k[A][B]^2
B.
Rate = k[A]^2[B]
C.
Rate = k[A]^2[B]^2
D.
Rate = k[A][B]
Show solution
Solution
The rate law is determined by the order of the reaction with respect to each reactant. For first order in A and second order in B, the rate law is Rate = k[A][B]^2.
Correct Answer: A — Rate = k[A][B]^2
Learn More →
Q. What is the real part of the complex number 4 + 5i? (2023)
Show solution
Solution
The real part of the complex number 4 + 5i is 4.
Correct Answer: A — 4
Learn More →
Q. What is the real part of the complex number 7 - 4i? (2023)
Show solution
Solution
The real part of the complex number 7 - 4i is 7.
Correct Answer: A — 7
Learn More →
Q. What is the reduction potential of the half-reaction 2H⁺ + 2e⁻ → H₂?
A.
0.00 V
B.
0.34 V
C.
0.76 V
D.
1.23 V
Show solution
Solution
The standard reduction potential for 2H⁺ + 2e⁻ → H₂ is 0.00 V.
Correct Answer: D — 1.23 V
Learn More →
Q. What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in electrochemistry?
A.
ΔG = -nFE
B.
ΔG = nFE
C.
ΔG = -E/nF
D.
ΔG = E/nF
Show solution
Solution
The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.
Correct Answer: A — ΔG = -nFE
Learn More →
Q. What is the relationship between the frequency and the period of a wave? (2021)
A.
Frequency is the square of the period
B.
Period is the reciprocal of frequency
C.
Frequency and period are unrelated
D.
Period is the square root of frequency
Show solution
Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer: B — Period is the reciprocal of frequency
Learn More →
Q. What is the relationship between the rate of reaction and temperature according to the Arrhenius equation? (2022)
A.
Inversely proportional
B.
Directly proportional
C.
Exponential
D.
Linear
Show solution
Solution
According to the Arrhenius equation, the rate of reaction increases exponentially with temperature.
Correct Answer: C — Exponential
Learn More →
Q. What is the result of (15 + 5) × 2? (2020)
Show solution
Solution
(15 + 5) = 20, then 20 × 2 = 40.
Correct Answer: B — 30
Learn More →
Showing 1021 to 1050 of 1388 (47 Pages)