Elementary Mathematics MCQs | MTH001 MCQs | Set 3
Elementary Mathematics MCQs | MTH001 MCQs | Set 3
MCQs (Multiple Choice Questions)
1) When 3 coins are tossed simultaneously (3 heads) will
be:
a) `3/8`
b) `1/8`
c) `1/4`
d) 1Correct Answer:
The correct answer is 'b'.
Explanation:
Current assets are assets that are expected to be converted into cash within one year in the normal course of business. This includes cash, cash equivalents, accounts receivable, inventory, marketable securities, and prepaid expenses. Current assets are important because they provide a company with the resources it needs to meet its short-term obligations, such as paying salaries and bills.
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2) If A is the sure event, then P(A)=
a) 1
b) `1/2`
c) `1/4`
d) `3/4`
Correct Answer:
The correct answer is 'a'.
Explanation:
A sure event is an event that is certain to happen. For example, if you toss a coin, the event "getting heads or tails" is a sure event. The probability of this event is 1, because it is certain to happen.
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3) Probability of a sure event is
a) `1/2`
b) 0
c) 1
d) `1/4`
Correct Answer:
The correct answer is 'c'.
Explanation:
A sure event is an event that is certain to happen, and in probability theory, its probability is always 1.
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4) If E and F are mutually exclusive events such that P (E) =0.4 and P(F) =05 then
a) 0.9
b) 0.1
c) 0.5
c) 0.2
Correct Answer:
The correct answer is 'a'.
Explanation:
To find the probability of either event E or event F occurring when they are mutually exclusive, you can simply add their individual probabilities. Since mutually exclusive events cannot occur at the same time, the probability of either event E or event F occurring is the sum of their individual probabilities:
P(E or F) = P(E) + P(F)
P(E or F) = 0.4 + 0.5
P(E or F) = 0.9
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5) Which of them is a proposition?
a) x is greater then 2
b) 3 + 7 = 10
c) close the door
d) what time is it?
Correct Answer:
The correct answer is 'b'.
Explanation:
A proposition is a statement that is either true or false, but not both. It cannot be a question, command, or exclamation.
a) x is greater than 2 is a proposition, but it has a variable in it. This means that it is not possible to determine whether it is true or false without knowing the value of x.
b) 3 + 7 = 10 is a proposition, and it is true.
c) close the door is a command, not a proposition.
d) what time is it? is a question, not a proposition.
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6) The component bar chart should be used when we have available to use in formation regarding totals and their components.
a) True
b) False
Correct Answer:
The correct answer is 'a'.
Explanation:
The statement is true because a component bar chart is indeed used when you have information regarding totals and their components. In this type of chart, the total is represented by a bar, and the components contributing to that total are shown as segmented bars or parts of the whole. This helps in visualizing the relationship between the components and the overall total. So, the statement accurately describes the purpose of a component bar chart.
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7) A conditional statement is logically equivalent.
a) contra positive
b) Inverse
c) converse to its
Correct Answer:
The correct answer is 'a'.
Explanation:
A conditional statement is logically equivalent to its contrapositive.
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8) Which one of the following is the negation of the
statement
a) If Tanveer live in Lahore then he does not live in Pakistan
b) Tanveer does not live in Lahore and he lives in Pakistan
c) If Tanveer does not live in Lahore then he does not live in Pakistan
Correct Answer:
The correct answer is 'b'.
Explanation:
The negation of a statement is the statement that is the opposite of the original statement.
The original statement is:
If Tanveer lives in Lahore then he does not live in Pakistan.
This statement is false, because Tanveer can live in Lahore and also live in Pakistan
The negation of the original statement is therefore:
Tanveer lives in Lahore and he lives in Pakistan
This statement is true, because Tanveer can live in Lahore and also live in Pakistan.
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9) Order of elements in a set does not matter
a) True
b) False
Correct Answer:
The correct answer is 'a'.
Explanation:
In a set, the order of elements does not matter. Sets are defined by their elements, and any permutation of the same elements results in the same set.
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10) If R ={(a,a),(b,b),(c,c)} is a relation on the set A = {a,b,c}
a) symmetric only
b) symmetric and Reflexive
c) Eguivalence relation
d) Reflexive only
Correct Answer:
The correct answer is 'b'.
Explanation:
The given relation R on the set A = {a, b, c} is:
R = {(a, a), (b, b), (c, c)}
Let's check the properties:
Reflexive: A relation is reflexive if for every element x in the set, (x, x) is in the relation. In this case, R is reflexive because it contains (a, a), (b, b), and (c, c).
Symmetric: A relation is symmetric if for every (x, y) in the relation, (y, x) is also in the relation. In this case, R is symmetric because it contains (a, a), (b, b), and (c, c), and for each of them, their reverse is also in the relation.
Transitive: A relation is transitive if for every (x, y) and (y, z) in the relation, (x, z) is also in the relation. We do not need to check transitivity in this case, as the question only asks for reflexivity and symmetry.
Therefore, the correct answer is:
b) symmetric and reflexive
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