Major Competitive Exams
Q. What is the total resistance of two 10 ohm resistors connected in series?
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A.
5 ohms
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B.
10 ohms
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C.
20 ohms
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D.
15 ohms
Solution
In series, R_eq = R1 + R2 = 10 + 10 = 20 ohms.
Correct Answer: C — 20 ohms
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Q. What is the total resistance of two 12 ohm resistors connected in parallel?
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A.
6 ohms
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B.
12 ohms
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C.
24 ohms
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D.
18 ohms
Solution
1/R_eq = 1/R1 + 1/R2 = 1/12 + 1/12 = 2/12. Thus, R_eq = 12/2 = 6 ohms.
Correct Answer: A — 6 ohms
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Q. What is the total resistance of two 8Ω resistors connected in series?
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A.
8Ω
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B.
16Ω
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C.
4Ω
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D.
12Ω
Solution
In series, R_eq = R1 + R2 = 8 + 8 = 16Ω.
Correct Answer: B — 16Ω
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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 total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
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A.
3.33 ohms
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B.
5 ohms
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C.
15 ohms
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D.
50 ohms
Solution
1/R_eq = 1/5 + 1/10 => R_eq = 3.33 ohms.
Correct Answer: A — 3.33 ohms
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Q. What is the total resistance of two resistors of 8Ω and 12Ω connected in series?
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A.
20Ω
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B.
24Ω
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C.
16Ω
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D.
18Ω
Solution
In series, R_eq = R1 + R2 = 8 + 12 = 20Ω.
Correct Answer: A — 20Ω
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Q. What is the total resistance of two resistors, 4 ohms and 6 ohms, connected in series? (2021)
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A.
10 ohms
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B.
24 ohms
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C.
2.4 ohms
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D.
0.67 ohms
Solution
In series, total resistance R = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.
Correct Answer: A — 10 ohms
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Q. What is the total sales of all products combined in Q1?
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A.
1200 units
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B.
1500 units
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C.
1000 units
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D.
1300 units
Solution
The total sales in Q1 is 1200 units when all products are summed up.
Correct Answer: A — 1200 units
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Q. What is the total sales of Product A over the four quarters as per the table?
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A.
1200
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B.
1300
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C.
1400
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D.
1500
Solution
The total sales of Product A over the four quarters is 1300 units.
Correct Answer: B — 1300
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Q. What is the total voltage across a parallel circuit with two branches, one with 10Ω and 20Ω resistors, if the total current is 3A?
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A.
6V
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B.
9V
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C.
12V
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D.
15V
Solution
Using the formula V = I * R_eq. First, find R_eq = 1 / (1/10 + 1/20) = 6.67Ω. Then, V = 3A * 6.67Ω = 20V.
Correct Answer: C — 12V
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Q. What is the total voltage in a series circuit with a 9V battery and two resistors of 2Ω and 3Ω?
Solution
In a series circuit, the total voltage is equal to the voltage of the battery, which is 9V.
Correct Answer: A — 9V
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Q. What is the trace of a square matrix? (2022)
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A.
Sum of all elements
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B.
Product of diagonal elements
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C.
Sum of diagonal elements
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D.
Difference of diagonal elements
Solution
The trace of a square matrix is defined as the sum of the elements on its main diagonal.
Correct Answer: C — Sum of diagonal elements
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Q. What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
Solution
The trace of A is the sum of the diagonal elements: 1 + 5 + 9 = 15.
Correct Answer: A — 15
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Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 + 4 = 9.
Correct Answer: C — 7
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Q. What is the trend in atomic radius as you move down a group in the periodic table?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Increases then decreases
Solution
Atomic radius increases down a group due to the addition of electron shells.
Correct Answer: A — Increases
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Q. What is the trend in atomic radius as you move down the alkali metal group? (2022)
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Increases then decreases
Solution
The atomic radius increases as you move down the alkali metal group due to the addition of electron shells.
Correct Answer: A — Increases
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Q. What is the trend in atomic radius as you move down the group of alkali metals?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Varies irregularly
Solution
The atomic radius increases as you move down the group of alkali metals.
Correct Answer: A — Increases
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Q. What is the trend in electronegativity as you move from left to right across a period?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Varies irregularly
Solution
Electronegativity increases from left to right across a period.
Correct Answer: A — Increases
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Q. What is the trend in ionization energy as you move down the group in s-block elements?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Varies irregularly
Solution
Ionization energy decreases as you move down the group in s-block elements due to increased atomic size.
Correct Answer: B — Decreases
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Q. What is the trend in ionization energy for alkali metals down the group?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Fluctuates
Solution
Ionization energy decreases down the group for alkali metals.
Correct Answer: B — Decreases
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Q. What is the trend in metallic character as you move from left to right across a period?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Increases then decreases
Solution
Metallic character decreases from left to right across a period.
Correct Answer: B — Decreases
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Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and C = 1?
Solution
First, evaluate B OR C, which is 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.
Correct Answer: B — 1
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Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, C = 1?
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A.
0
-
B.
1
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C.
2
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D.
Undefined
Solution
B OR C = 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.
Correct Answer: B — 1
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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 typical band gap of germanium?
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A.
0.66 eV
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B.
1.1 eV
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C.
1.5 eV
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D.
2.0 eV
Solution
The typical band gap of germanium is approximately 0.66 eV.
Correct Answer: A — 0.66 eV
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Q. What is the typical charge of s-block metal ions?
Solution
S-block metals typically form ions with a charge of +2.
Correct Answer: B — +2
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Q. What is the typical forward voltage drop across a silicon diode? (2023)
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A.
0.2 V
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B.
0.7 V
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C.
1.5 V
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D.
2.0 V
Solution
The typical forward voltage drop across a silicon diode is approximately 0.7 V.
Correct Answer: B — 0.7 V
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Q. What is the typical range of energy band gaps for semiconductors?
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A.
0.1 - 0.5 eV
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B.
0.5 - 1.5 eV
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C.
1.5 - 3.0 eV
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D.
3.0 - 5.0 eV
Solution
The typical range of energy band gaps for semiconductors is between 0.5 eV and 1.5 eV.
Correct Answer: B — 0.5 - 1.5 eV
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Q. What is the typical range of the energy band gap for semiconductors?
-
A.
0.1 - 0.5 eV
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B.
0.5 - 2.5 eV
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C.
2.5 - 5 eV
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D.
5 - 10 eV
Solution
The typical range of the energy band gap for semiconductors is between 0.5 eV and 2.5 eV.
Correct Answer: B — 0.5 - 2.5 eV
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Q. What is the uncertainty in a measurement of 50.0 ± 0.5 g when converted to kilograms?
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A.
0.0005 kg
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B.
0.005 kg
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C.
0.05 kg
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D.
0.5 kg
Solution
To convert grams to kilograms, divide by 1000. The uncertainty in kilograms is 0.5 g / 1000 = 0.0005 kg.
Correct Answer: B — 0.005 kg
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