Q. What is the mode of the following numbers: 4, 4, 5, 6, 6, 7, 8?
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Solution
The mode is 4, as it appears 2 times, which is more than any other number.
Correct Answer:
A
— 4
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Q. What is the mode of the following numbers: {2, 3, 4, 4, 5, 5, 5, 6}?
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Solution
The mode is 5, as it appears 3 times, more than any other number.
Correct Answer:
C
— 5
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Q. What is the mode of the following numbers: {6, 7, 8, 6, 9, 10, 6, 7}?
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Solution
The mode is 6, which appears 3 times in the data set.
Correct Answer:
A
— 6
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Q. What is the mode of the numbers: 1, 1, 2, 3, 3, 3, 4, 4?
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Solution
The mode is 3, as it appears most frequently (three times) in the data set.
Correct Answer:
C
— 3
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Q. What is the next prime number after 7?
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Solution
The next prime number after 7 is 11.
Correct Answer:
D
— 11
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Q. What is the order of a matrix with 3 rows and 4 columns? (2021)
A.
3x4
B.
4x3
C.
3x3
D.
4x4
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Solution
The order of a matrix is given by the number of rows followed by the number of columns. Therefore, a matrix with 3 rows and 4 columns is of order 3x4.
Correct Answer:
A
— 3x4
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Q. What is the perimeter of a rectangle with a length of 8 units and a width of 3 units?
A.
22 units
B.
24 units
C.
20 units
D.
18 units
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Solution
Perimeter = 2 * (length + width) = 2 * (8 + 3) = 22 units.
Correct Answer:
A
— 22 units
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Q. What is the perimeter of a rectangle with length 10 cm and width 5 cm? (2021)
A.
30 cm
B.
25 cm
C.
20 cm
D.
15 cm
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Solution
The perimeter of a rectangle is given by P = 2(length + width). Here, P = 2(10 + 5) = 30 cm.
Correct Answer:
B
— 25 cm
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Q. What is the perimeter of a rectangle with length 8 units and width 3 units?
A.
22 units
B.
24 units
C.
20 units
D.
18 units
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Solution
Perimeter = 2 * (length + width) = 2 * (8 + 3) = 22 units.
Correct Answer:
A
— 22 units
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Q. What is the perimeter of a square with a side length of 4 cm?
A.
8 cm
B.
12 cm
C.
16 cm
D.
20 cm
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Solution
Perimeter of a square = 4 × side = 4 × 4 cm = 16 cm.
Correct Answer:
C
— 16 cm
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Q. What is the perimeter of a square with a side length of 6 cm? (2019)
A.
24 cm
B.
20 cm
C.
18 cm
D.
30 cm
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Solution
Perimeter = 4 * Side = 4 * 6 cm = 24 cm.
Correct Answer:
A
— 24 cm
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Q. What is the perimeter of an equilateral triangle with each side measuring 8 cm? (2021)
A.
16 cm
B.
24 cm
C.
32 cm
D.
20 cm
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Solution
The perimeter of an equilateral triangle is 3 times the length of one side. Therefore, perimeter = 3 * 8 = 24 cm.
Correct Answer:
B
— 24 cm
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Q. What is the pH of a solution with a hydrogen ion concentration of 1 x 10^-7 M?
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Solution
pH = -log[H+] = -log(1 x 10^-7) = 7.
Correct Answer:
A
— 7
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Q. What is the phenomenon called when sound waves bounce off a surface? (2021)
A.
Refraction
B.
Reflection
C.
Diffraction
D.
Interference
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Solution
The bouncing back of sound waves from a surface is called reflection.
Correct Answer:
B
— Reflection
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Q. What is the potential difference across a 10-ohm resistor carrying a current of 3 A?
A.
30 V
B.
10 V
C.
3 V
D.
0.3 V
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Solution
Using Ohm's Law (V = I * R), V = 3 A * 10 Ω = 30 V.
Correct Answer:
A
— 30 V
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Q. What is the potential energy of a 2 kg mass at a height of 5 m? (g = 10 m/s²)
A.
100 J
B.
50 J
C.
20 J
D.
10 J
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Solution
Potential energy (PE) = mgh = 2 kg * 10 m/s² * 5 m = 100 J.
Correct Answer:
A
— 100 J
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Q. What is the power consumed by a device that operates at 12 volts and draws a current of 2 amperes? (2020)
A.
24 W
B.
12 W
C.
6 W
D.
48 W
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Solution
Power (P) is given by P = V * I. Thus, P = 12 V * 2 A = 24 W.
Correct Answer:
A
— 24 W
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Q. What is the power consumed by a device that operates at 120 V and draws a current of 2 A?
A.
240 W
B.
60 W
C.
120 W
D.
30 W
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Solution
Power (P) is calculated using the formula P = V * I. Therefore, P = 120 V * 2 A = 240 W.
Correct Answer:
A
— 240 W
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Q. What is the power consumed by a device that operates at 120 volts and draws a current of 3 amperes?
A.
360 W
B.
40 W
C.
120 W
D.
240 W
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Solution
Power P is calculated using P = V * I. Therefore, P = 120 V * 3 A = 360 W.
Correct Answer:
A
— 360 W
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Q. What is the power consumed by a device that operates at 120V and draws a current of 3A? (2021)
A.
360 W
B.
240 W
C.
120 W
D.
30 W
Show solution
Solution
Power (P) = Voltage (V) × Current (I) = 120V × 3A = 360W.
Correct Answer:
A
— 360 W
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Q. What is the power consumed by a device that operates at a voltage of 120 volts and draws a current of 3 amperes?
A.
360 watts
B.
40 watts
C.
120 watts
D.
240 watts
Show solution
Solution
Power (P) is calculated as P = V * I. Thus, P = 120 V * 3 A = 360 W.
Correct Answer:
A
— 360 watts
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Q. What is the primary aim of the National Rural Livelihood Mission (NRLM)? (2011)
A.
To provide free education
B.
To promote self-employment and organization of rural poor
C.
To enhance agricultural productivity
D.
To provide health insurance
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Solution
The primary aim of the NRLM is to promote self-employment and organize the rural poor into self-help groups.
Correct Answer:
B
— To promote self-employment and organization of rural poor
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Q. What is the primary cause of ocean currents?
A.
Wind patterns
B.
Earth's rotation
C.
Temperature differences
D.
Salinity differences
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Solution
The primary cause of ocean currents is wind patterns, which drive the movement of water across the surface.
Correct Answer:
A
— Wind patterns
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Q. What is the primary cause of sediment transport in rivers?
A.
Gravity
B.
Wind
C.
Human activity
D.
Temperature changes
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Solution
Gravity is the primary force that causes sediment to be transported downstream in rivers.
Correct Answer:
A
— Gravity
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Q. What is the primary cause of wind?
A.
Earth's rotation
B.
Temperature differences
C.
Humidity differences
D.
Pressure differences
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Solution
Wind is primarily caused by differences in atmospheric pressure.
Correct Answer:
D
— Pressure differences
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Q. What is the primary characteristic of metals? (2019)
A.
Brittleness
B.
Luster
C.
Dullness
D.
Insulation
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Solution
Metals are known for their luster, which is the shiny appearance they exhibit when polished.
Correct Answer:
B
— Luster
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Q. What is the primary characteristic of non-metals?
A.
Good conductors of heat
B.
High density
C.
Brittleness
D.
Luster
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Solution
Non-metals are generally brittle in solid form and do not exhibit metallic luster.
Correct Answer:
C
— Brittleness
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Q. What is the primary characteristic that distinguishes metals from non-metals? (2019)
A.
Luster
B.
Brittleness
C.
Conductivity
D.
Density
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Solution
Metals are generally good conductors of heat and electricity, while non-metals are poor conductors.
Correct Answer:
C
— Conductivity
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Q. What is the primary characteristic that distinguishes solids from liquids? (2021)
A.
Solids have a definite shape and volume
B.
Liquids have a definite shape and volume
C.
Solids can flow
D.
Liquids can be compressed easily
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Solution
Solids maintain a definite shape and volume due to closely packed particles, while liquids take the shape of their container but have a definite volume.
Correct Answer:
A
— Solids have a definite shape and volume
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Q. What is the primary component of the cell wall in plant cells?
A.
Cellulose
B.
Chitin
C.
Peptidoglycan
D.
Lipid
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Solution
The cell wall of plant cells is primarily made of cellulose, providing structural support.
Correct Answer:
A
— Cellulose
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