Study HubHubPage 3/182Scan verified MCQs with the answer highlighted, then open explanations when you want the reasoning.
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Biography/General Knowledge
Who was Blaise Pascal?
Blaise Pascal was a French mathematician, physicist, inventor, writer, and Catholic theologian, best known for his contributions to mathematics and science.
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Percentage
80% of 700 = _________?
To find 80% of 700, multiply 700 by 0.80, which equals 560. Therefore, option B is correct.
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Profit & Loss / Percentage Loss
Naeem sold a computer for Rs 25,000 at a 20% loss. Find the purchase price of the computer.
Since Naeem sold the computer at a 20% loss for Rs 25,000, the selling price is 80% of the purchase price. Therefore, purchase price = 25000 ÷ 0.8 = Rs 31,250, which matches option C.
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Ratio & Proportion
In a certain class, the ratio of men to women is 3:5. If the class has 24 people in total, how many are women?
The ratio of men to women is 3:5, so the total parts are 3 + 5 = 8. Each part represents 24 ÷ 8 = 3 people. Therefore, the number of women is 5 parts × 3 = 15.
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Number Series
Complete the series: 4, 8, 9, 13, 14, 18, ______?
The series is: 4, 8, 9, 13, 14, 18, ... The pattern alternates between adding 4 and adding 1: 4 + 4 = 8, 8 + 1 = 9, 9 + 4 = 13, 13 + 1 = 14, 14 + 4 = 18. Following this pattern, the next step is to add 1 to 18, resulting in 19. Therefore, the correct next number in the series is 19, which corresponds to option D.
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Problems On Numbers / Percentage (Tax)
If Ahmed purchases a watch for Rs 600 and pays 15% sales tax, what is the total amount spent on the purchase?
The sales tax is 15% of Rs 600, which is Rs 90. Adding this to the original price gives Rs 600 + Rs 90 = Rs 690. However, the options are in whole numbers without currency symbols, so the total amount is Rs 690, which corresponds to option D. Therefore, the correct answer is D, not A. The original correct_answer was D, which is correct.
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Profit and Loss
If 5% more profit is gained by selling an article for Rs. 350 than by selling it for Rs. 340, what is the cost of the article?
Let the cost price be Rs. x. The gain when selling at Rs. 350 is 5% more than the gain when selling at Rs. 340. Setting up the equation: (350 - x) = 1.05(340 - x). Solving gives x = Rs. 160.
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Ratio And Proportion / Time & Distance
A lorry covers a distance of 100 km in 2 hours 30 minutes. A car runs with a speed of 55 km/hour. Determine the ratio of their speeds.
The lorry's speed is 100 km divided by 2.5 hours, which equals 40 km/h. The car's speed is given as 55 km/h. Therefore, the ratio of their speeds is 40:55, which simplifies to 8:11. Since option A is 8:11, it matches the correct ratio. However, the options given do not include 8:11 as option B is 20:11 and option A is 8:11. The correct answer is A, not B.
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Time and Work
A student can solve q questions in 1/h hour. At this rate, how many questions can she solve in q hours?
The student solves q questions in 1/h hour, so the rate of solving questions per hour is q ÷ (1/h) = hq questions per hour. Therefore, in q hours, the number of questions solved is rate × time = hq × q = hq². This corresponds to option B.
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Profit and Loss
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is: ________?
Let the cost price of each clock be Rs. x. Total cost price = 90x. Selling 40 clocks at 10% gain = 40 × 1.1x = 44x. Selling 50 clocks at 20% gain = 50 × 1.2x = 60x. Total selling price = 44x + 60x = 104x. If sold all at 15% gain, total selling price = 90x × 1.15 = 103.5x. Given he would have got Rs. 40 less, so 104x - 103.5x = 40 ⇒ 0.5x = 40 ⇒ x = 80. However, this calculation shows x=80, but the difference is 40, so the cost price per clock is Rs. 80. Therefore, option C is correct, not B. Correction: The initial calculation was correct, so the correct answer is C (Rs. 80).