Q. What is the total resistance of two resistors, 4 ohms and 6 ohms, connected in series? (2021)
-
A.
10 ohms
-
B.
24 ohms
-
C.
2.4 ohms
-
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 figure for Product A over the four quarters? (2000)
-
A.
1200 units
-
B.
1500 units
-
C.
1800 units
-
D.
2000 units
Solution
The total sales for Product A over the four quarters is 1500 units.
Correct Answer:
B
— 1500 units
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Q. What is the total sales of all products combined in Q1?
-
A.
1200 units
-
B.
1500 units
-
C.
1000 units
-
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?
-
A.
1200
-
B.
1300
-
C.
1400
-
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 sales of Product A over the four quarters?
-
A.
1200
-
B.
1300
-
C.
1400
-
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 sales of Product B over the four quarters?
-
A.
1200 units
-
B.
1500 units
-
C.
1000 units
-
D.
1300 units
Solution
The total sales of Product B over the four quarters is 1200 units.
Correct Answer:
A
— 1200 units
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Q. What is the total sales represented in the pie chart?
-
A.
500
-
B.
600
-
C.
700
-
D.
800
Solution
The total sales represented in the pie chart is 700.
Correct Answer:
C
— 700
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Q. What is the total surface area of a cube with a side length of 4 cm?
-
A.
48 cm²
-
B.
64 cm²
-
C.
96 cm²
-
D.
32 cm²
Solution
The total surface area of a cube is given by 6s². For a side length of 4 cm, the total surface area is 6(4)² = 96 cm².
Correct Answer:
A
— 48 cm²
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Q. What is the total surface area of a sphere with a radius of 7 cm?
-
A.
49π
-
B.
98π
-
C.
144π
-
D.
196π
Solution
The total surface area of a sphere is given by SA = 4πr². Here, r = 7, so SA = 4π(7)² = 196π.
Correct Answer:
B
— 98π
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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?
-
A.
6V
-
B.
9V
-
C.
12V
-
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 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is 3 + 4 = 7.
Correct Answer:
B
— 6
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Q. What is the trace of a 2x2 matrix A = [[a, b], [c, d]]? (2022)
-
A.
a + b + c + d
-
B.
a + d
-
C.
b + c
-
D.
a * d
Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is a + d.
Correct Answer:
B
— a + d
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Q. What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
-
A.
a + b
-
B.
b + c
-
C.
a + d
-
D.
c + d
Solution
The trace of a matrix is the sum of its diagonal elements. For the matrix [[a, b], [c, d]], the trace is a + d.
Correct Answer:
C
— a + d
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Q. What is the trace of a matrix?
-
A.
Sum of all elements
-
B.
Sum of diagonal elements
-
C.
Product of diagonal elements
-
D.
None of the above
Solution
The trace of a matrix is defined as the sum of the elements on the main diagonal.
Correct Answer:
B
— Sum of diagonal elements
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Q. What is the trace of a square matrix? (2022)
-
A.
Sum of all elements
-
B.
Product of diagonal elements
-
C.
Sum of diagonal elements
-
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 trace of the matrix H = [[2, 1], [1, 3]]?
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 = 5.
Correct Answer:
B
— 4
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Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(I) = 3 + 4 = 7.
Correct Answer:
B
— 6
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Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
Solution
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 5 + 4 = 9.
Correct Answer:
C
— 9
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Q. What is the trend in atomic radius as you move down a group in the periodic table?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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)
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
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 trend in reactivity of alkali metals down the group? (2022)
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Varies irregularly
Solution
The reactivity of alkali metals increases down the group due to the decrease in ionization energy.
Correct Answer:
A
— Increases
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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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