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The MCQs below are drawn from the Mathematics subject category.
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7401
A student must get 40% marks to pass. He gets 40 marks and fails by 40 marks. Find the maximum marks.
A. 100
B. 150
C. 200
D. 250
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Explanation
Passing marks = Marks obtained + Marks failed by = 40 + 40 = 80. Since 40% of max marks = 80, Max marks = 80 / 0.40 = 200.
7402
The price of an item was increased by 10%. This new price was then reduced by 10%. If the latest price is Rs 99, what was the original price?
A. 99
B. 100
C. 101
D. 110
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Explanation
A 10% increase followed by a 10% decrease results in a net 1% decrease. So, 99% of original price = Rs 99. Original price = 99 / 0.99 = Rs 100.
7403
A machine depreciates by 10% per year. Its present value is Rs 8100. What was its value 2 years ago?
A. 9000
B. 9500
C. 10000
D. 11000
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Explanation
Let the value 2 years ago be P. P(1 - 10/100)^2 = 8100. P(0.9)^2 = 8100. P * 0.81 = 8100. P = 8100 / 0.81 = 10000.
7404
A town's population increases by 5% annually. If the current population is 4000, what will it be in 2 years?
A. 4400
B. 4410
C. 4420
D. 4500
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Explanation
Population after 2 years = P(1 + r/100)^2 = 4000(1 + 5/100)^2 = 4000(1.05)^2 = 4000 * 1.1025 = 4410.
7405
Successive discounts of 20% and 10% are equivalent to a single discount of?
A. 28%
B. 30%
C. 32%
D. 35%
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Explanation
Equivalent discount = A + B - (A*B)/100. So, 20 + 10 - (20*10)/100 = 30 - 2 = 28%.
7406
The salary of an employee is first increased by 50% and then decreased by 50%. The net change is:
A. No change
B. 25% decrease
C. 25% increase
D. 50% decrease
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Explanation
A common percentage increase and decrease of x% results in a net decrease of (x^2)/100 %. Here x = 50. Decrease = 50^2 / 100 = 2500 / 100 = 25% decrease.
7407
The tax on a commodity is diminished by 15% and its consumption increases by 10%. The effect on revenue is?
A. 5% decrease
B. 6.5% decrease
C. 6.5% increase
D. 5% increase
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Explanation
Revenue = Tax * Consumption. Net effect = -15 + 10 + (-15 * 10)/100 = -5 - 1.5 = -6.5%. The revenue decreases by 6.5%.
7408
If the radius of a circle increases by 20%, its area increases by:
A. 20%
B. 40%
C. 44%
D. 48%
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Explanation
Area is proportional to the square of the radius. Successive increase of 20% twice: 20 + 20 + (20*20)/100 = 40 + 4 = 44%.
7409
The length of a rectangle is increased by 10% and its breadth is decreased by 10%. What is the change in area?
A. No change
B. 1% increase
C. 1% decrease
D. 10% decrease
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Explanation
Net change = 10 - 10 + (10 * -10) / 100 = 0 - 1 = -1%. A negative sign indicates a 1% decrease in area.
7410
A number decreases by 10%, then increases by 20%. What is the net percentage change?
A. 8% increase
B. 10% increase
C. 12% increase
D. 10% decrease
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Explanation
Using formula A + B + AB/100, where A = -10 and B = 20. Net = -10 + 20 + (-10*20)/100 = 10 - 2 = 8. Since it is positive, it is an 8% increase.
