Major Competitive Exams
Q. In a Daniell cell, which metal is oxidized?
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A.
Copper
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B.
Zinc
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C.
Lead
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D.
Silver
Solution
In a Daniell cell, zinc is oxidized.
Correct Answer: B — Zinc
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred about the data?
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A.
Skewed right
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B.
Skewed left
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C.
Symmetrical
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred?
-
A.
Data is skewed right
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B.
Data is skewed left
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C.
Data is symmetric
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D.
Data is uniform
Solution
Since the mean is greater than the median, the data is skewed to the right.
Correct Answer: A — Data is skewed right
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Q. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
-
A.
Skewed right
-
B.
Skewed left
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C.
Symmetric
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
Solution
Number of values = Sum / Mean = 500 / 50 = 10.
Correct Answer: C — 10
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Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
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A.
Positively skewed
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B.
Negatively skewed
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C.
Symmetrical
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D.
Uniform
Solution
Since the mean is greater than the mode, the data is positively skewed.
Correct Answer: A — Positively skewed
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Q. In a data set, if the values are 2, 4, 4, 4, 5, 5, 7, what is the mode?
Solution
Mode = 4 (most frequently occurring value).
Correct Answer: A — 4
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Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
-
A.
20%
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B.
10%
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C.
5%
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D.
15%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (2/10) * 100 = 20%.
Correct Answer: A — 20%
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Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
-
A.
Skewed right
-
B.
Skewed left
-
C.
Symmetric
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
-
A.
Positively skewed
-
B.
Negatively skewed
-
C.
Symmetrical
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is positively skewed.
Correct Answer: A — Positively skewed
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Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
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A.
20%
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B.
15%
-
C.
10%
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D.
5%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.
Correct Answer: A — 20%
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Q. In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?
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A.
400
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B.
500
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C.
600
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D.
700
Solution
Sum = Mean * Number of Observations = 50 * 10 = 500.
Correct Answer: B — 500
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Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
Solution
Q1 = 2, Q3 = 4. Interquartile Range = Q3 - Q1 = 4 - 2 = 2.
Correct Answer: B — 2
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Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
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A.
1/2
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B.
1/4
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C.
1/3
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D.
1/5
Solution
There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Correct Answer: A — 1/2
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Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
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A.
1/2
-
B.
1/4
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C.
1/3
-
D.
1/5
Solution
There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Correct Answer: A — 1/2
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Q. In a diffraction grating, if the number of slits is increased, what happens to the angular width of the principal maxima?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
Increasing the number of slits increases the sharpness of the maxima, thus decreasing the angular width.
Correct Answer: B — Decreases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the intensity of the maxima?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
Increasing the number of slits increases the intensity of the maxima due to constructive interference.
Correct Answer: A — Increases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the sharpness of the maxima?
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A.
Sharpness increases
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B.
Sharpness decreases
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C.
No effect
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D.
Maxima disappear
Solution
Increasing the number of slits in a diffraction grating increases the sharpness of the maxima due to constructive interference.
Correct Answer: A — Sharpness increases
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Q. In a diffraction grating, what is the relationship between the angle of diffraction and the order of the maximum?
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A.
Directly proportional
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B.
Inversely proportional
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C.
Independent
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D.
Exponential
Solution
The angle of diffraction is directly proportional to the order of the maximum in a diffraction grating.
Correct Answer: A — Directly proportional
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Q. In a diffraction pattern, how does the intensity of the maxima compare to the minima?
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A.
Maxima are always brighter than minima
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B.
Minima have the same intensity as maxima
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C.
Minima are always darker than maxima
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D.
Intensity is uniform throughout
Solution
In a diffraction pattern, the minima are always darker than the maxima, which have higher intensity.
Correct Answer: C — Minima are always darker than maxima
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Q. In a diffraction pattern, if the first minimum occurs at an angle of 30°, what is the ratio of the slit width to the wavelength?
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A.
1:2
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B.
1:√3
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C.
√3:1
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D.
2:1
Solution
Using the condition for the first minimum a sin(30°) = λ, we find the ratio a/λ = 1/√3.
Correct Answer: B — 1:√3
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Q. In a diffraction pattern, the intensity of the central maximum is how many times that of the first minimum?
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A.
Zero
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B.
One
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C.
Infinity
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D.
Two
Solution
The intensity of the central maximum is theoretically infinite compared to the first minimum, which has zero intensity.
Correct Answer: C — Infinity
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Q. In a diffraction pattern, the intensity of the central maximum is typically:
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A.
Zero
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B.
Minimum
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C.
Maximum
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D.
Constant
Solution
The intensity of the central maximum in a diffraction pattern is at its maximum compared to other maxima.
Correct Answer: C — Maximum
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Q. In a diffraction pattern, what does the intensity of the central maximum depend on?
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A.
Wavelength only
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B.
Slit width only
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C.
Both wavelength and slit width
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D.
Distance from the slit
Solution
The intensity of the central maximum in a diffraction pattern depends on both the wavelength of light and the slit width.
Correct Answer: C — Both wavelength and slit width
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Q. In a diffraction pattern, what does the term 'fringe separation' refer to?
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A.
Distance between two minima
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B.
Distance between two maxima
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C.
Distance between a maximum and a minimum
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D.
None of the above
Solution
Fringe separation refers to the distance between two consecutive maxima in a diffraction pattern.
Correct Answer: B — Distance between two maxima
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Q. In a diffraction pattern, what does the term 'order of diffraction' refer to?
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A.
The number of slits used
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B.
The number of maxima observed
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C.
The wavelength of light used
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D.
The distance to the screen
Solution
The order of diffraction refers to the number of maxima observed in the diffraction pattern, with the central maximum being the zeroth order.
Correct Answer: B — The number of maxima observed
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Q. In a diffraction pattern, what is the effect of increasing the slit width?
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A.
Wider central maximum
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B.
Narrower central maximum
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C.
No effect
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D.
Increased number of fringes
Solution
Increasing the slit width results in a wider central maximum due to the decrease in diffraction effects.
Correct Answer: A — Wider central maximum
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Q. In a diffraction pattern, what is the ratio of the intensity of the central maximum to that of the first minimum?
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A.
1:0
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B.
1:1
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C.
1:2
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D.
1:4
Solution
The intensity of the central maximum is typically much greater than that of the first minimum, often approximated as 1:4.
Correct Answer: D — 1:4
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Q. In a digital communication system, what does the term 'bit rate' refer to?
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A.
The number of bits transmitted per second
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B.
The number of bits stored in a device
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C.
The frequency of the carrier wave
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D.
The duration of each bit
Solution
Bit rate refers to the number of bits transmitted per second in a digital communication system.
Correct Answer: A — The number of bits transmitted per second
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Q. In a diode, what is the region called where no charge carriers are present?
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A.
Conduction band
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B.
Valence band
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C.
Depletion region
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D.
N-type region
Solution
The depletion region in a diode is the area where no charge carriers are present.
Correct Answer: C — Depletion region
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