Elementary Mathematics MCQs | MTH001 MCQs | Set 1
Elementary Mathematics MCQs | MTH001 MCQs | Set 1
MCQs (Multiple Choice Questions)
1) The difference between the upper and the lower class boundaries of a class are known as:
a) Class Marks
b) Class Interval
c) Class frequency
Correct Answer:
The correct answer is 'a'.
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2) The probability of a sure event is:
a) 0
b) 1
c) 0.5
Correct Answer:
The correct answer is 'b'.
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3) What is the simple interest earned on Rs.3000 invested at 8% per annum for 6 months?
a) 3000 x 6 x 0.08
b) 3000 x 60 x 0.08
c) 3000 x 0.5 x 0.08
d) 3000 x 1.5 x 0.08
Correct Answer:
The correct answer is 'c'.
Explanation:
To calculate the simple interest earned on Rs. 3000 invested at 8% per annum for 6 months, you can use the formula for simple interest:
Simple Interest (SI) = (Principal × Rate × Time) / 100
Where:
Principal = Rs. 3000 (the amount invested)
Rate = 8% per annum (convert to decimal form, i.e., 0.08)
Time = 6 months (convert to years, i.e., 0.5)
Now, plug the values into the formula:
Simple Interest (SI) = (3000 × 0.08 × 0.5) / 100
Simplifying the equation:
SI = 120 / 100
SI = Rs. 12
So, the simple interest earned on Rs. 3000 invested at 8% per annum for
6
months is Rs. 12.
Among the given options, the correct one is:
3000 x 0.5 x 0.08
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4) The probability of vowel letters from the word STATISTICS is
a) `2/10`
b) `3/10`
c) 0
d) `10/10`
Correct Answer:
The correct answer is 'b'.
Explanation:
To find the probability of vowel letters from the word "STATISTICS," we first need to identify the vowels in the word. Vowels are the letters A, E, I, O, and U.
In the word "STATISTICS," there are three vowels: A, I, and I.
Now, to calculate the probability of vowels, we use the formula:
Probability of an event = (Number of favorable outcomes) / (Total number of outcomes
In this case, the "favorable outcomes" are the number of vowels (which is 3), and the "total number of outcomes" is the total number of letters in the word (which is 10).
So, the probability of vowel letters from the word "STATISTICS" is:
Probability = (Number of vowels) / (Total number of letters) = 3 / 10.
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5) Smoking habits of the residents of an area are :
a) Quantitative
b) Qualitative
Correct Answer:
The correct answer is 'b'.
Explanation:
Smoking habits can be categorized into different groups or categories such as "smoker," "non-smoker," "occasional smoker," etc. These categories are not numerical in nature but represent different qualities or characteristics of the residents' smoking behavior. Therefore, smoking habits are considered a qualitative variable.
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6) In a symmetric distribution
a) The mean, median, and mode are equal
b) The mean is the largest measure of location
c) The median is the largest measure of location
d) The standard deviation is the largest value
Correct Answer:
The correct answer is 'a'.
Explanation:
In a symmetric distribution, the data is evenly distributed around the central point, which means the mean, median, and mode will all have the same value. This is a characteristic feature of symmetrical distributions.
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7) When two coins are tossed simultaneously, the probability of at least one head is _______.
a) `1/4`
b) `3/4`
c) `1/2`
d) 1
Correct Answer:
The correct answer is 'b'.
Explanation:
To calculate the probability, we can find the probability of getting no heads (both tails) and subtract it from 1.
Probability of getting no heads (both tails): The probability of getting tails on one coin toss is 1/2. Since the two coin tosses are independent events, the probability of getting tails on both tosses is (1/2) * (1/2) = 1/4.
Probability of getting at least one head: To find this, we subtract the probability of getting no heads from 1.
Probability of at least one head = 1 - Probability of no heads
Probability of at least one head = 1 - 1/4
Probability of at least one head = 3/4
So, the probability of getting at least one head when two coins are tossed simultaneously is 3/4.
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8) 20 m long rope is cut to the length of 15m. What is percentage decrease?
a) ( 5/20 x100)%
b) ( 15/20 x100)%
c) ( 5/20)%
d) ( 2/2000)%
Correct Answer:
The correct answer is 'a'.
Explanation:
To calculate the percentage decrease when a 20-meter long rope is cut to a length of 15 meters, you can use the formula for percentage decrease:
Percentage Decrease = [(Original Value - New Value) / Original Value] * 100
Where:
Original Value = 20 meters (the initial length of the rope)
New Value = 15 meters (the length of the rope after being cut)
Now, plug the values into the formula:
Percentage Decrease = [(20 - 15) / 20] * 100
Simplify the equation:
Percentage Decrease = (5 / 20) * 100
Percentage Decrease = (1/4) * 100
Percentage Decrease = 25%
So, the percentage decrease when a 20-meter long rope is cut to 15 meters is 25%.
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9) Third Quartile = Q3 =
a) P3
b) Median
c) None of the above
d) Mode
Correct Answer:
The correct answer is 'c'.
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10) Standard deviation is always measured from
a) Mean
b) Median
c) Mode
Correct Answer:
The correct answer is 'a'.
Explanation:
The standard deviation is a measure of how spread out the values in a dataset is. It quantifies the amount of variation or dispersion from the mean (average) of the data. By calculating the standard deviation from the mean, we can understand how much the individual data points deviate from the average value and how widely the data is distributed around the mean.
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