General Knowledge

In a class, if 6 students per bench are assigned to accommodate all students, one more bench will be required. If 7 students are to accommodate per bench, there would be a space left for 5 students. What is the number of students in the class?

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Let no. of benches = x (6x+6) =(7x-5) 6+5 = 7x-x x=11. No.of students = (11×6 )+6 =72. With 6 students on the available 11 benches , 66 students will be seated & 1 more bench will be required for the remaining 6. If 7 students are seated on the available 11 benches , 77students …

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N number of persons decided to raise Rs 3 lakhs by equal contributions from each. Had they contributed Rs 50 each extra, the contribution would have been Rs 3.25 lakhs. How many persons are there?

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Let the number of persons be ‘n’ and the equal contribution made by each person be ‘x’. Then, the total amount raised by the ‘n’ persons is given by: Total amount = n * x As per the given information, we have two equations: Equation 1: n * x = 3 lakhs Equation 2: (n …

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The price of sugar is increased by 20%. By what percent must the consumption of sugar be decreased so that the expenditure on sugar may remain the same (upto the nearest integer)?

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Let’s assume the initial price of sugar was $1$ unit (for simplicity), and the initial consumption was $x$ units, resulting in an expenditure of $1 \times x = x$ units. After the price increase of 20%, the new price of sugar becomes $1+0.2=1.2$ units. To keep the expenditure on sugar the same, we need to …

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Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is?

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I assume you want a simplified answer. Ex: if your water consumption was 100 gallons and you were being charged $1.00 per gallon, then a 20% increase in the tax would raise the price to $1.20 per gallon, while simultaneously your consumption decreased by 20% to 80 gallons, so you multiply 80 times $1.20 and …

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In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was

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If 20% of the votes were invalid, then 100% – 20% = 80% of the votes were valid. The total number of valid votes is therefore 80/100 * 7500 = 6000. If one candidate got 55% of the valid votes, then the other candidate got 45% of the valid votes. The number of valid votes …

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If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

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N ^ | | | Plane 1 | Plane 2 (150 mph) | (200 mph) W<———O———>E | | | | S Let’s assume that the planes are at the same airport (point O) at 1:00 PM, and we want to find the distance between them at 3:00 PM (2 hours later). Plane 1 is traveling …

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If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Liza and Tom work together to complete it?

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Let’s first calculate the amount of work each person can do in one day: Sam can do 1/4 of the job in one day (since he can complete the whole job in 4 days). Lisa can do 1/6 of the job in one day (since she can complete the whole job in 6 days). Tom …

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