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Algebra
A man has some hens and cows. If the number of heads is 48 and the number of feet is 140, what is the number of hens?
Each animal has one head, so hens + cows = 48. Hens have 2 feet and cows have 4 feet, so 2*hens + 4*cows = 140. Solving these equations gives hens = 24 and cows = 24.
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Prepositions
He was -------- vexed with the behaviour of his son.
The correct preposition to use with 'vexed' in this context is 'with', as in 'He was vexed with the behaviour of his son.' This is the standard collocation in English.
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Simple Interest/Discount
The banker's gain on a certain sum due 2 years hence at 10% per annum is Rs 24. What is the present worth?
Banker's gain is the difference between the true discount and the banker's discount. Given the banker's gain is Rs 24, and the rate is 10% for 2 years, the present worth can be calculated as Rs 500. Hence, option B is correct.
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Time and Work
If Sam can do a job in 4 days, Lisa can do it in 6 days, and Tom can do it in 2 days, how long would it take if Sam, Lisa, and Tom worked together to complete the job?
Sam's work rate is 1/4 job per day, Lisa's is 1/6, and Tom's is 1/2. Combined, their rate is 1/4 + 1/6 + 1/2 = 0.25 + 0.1667 + 0.5 = 0.9167 jobs per day. The time to complete one job together is 1 / 0.9167 ≈ 1.09 days.
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Pomology
"Pomology" is a branch of science that deals with:
Pomology is the branch of science that deals with the study and cultivation of fruits, making option B the correct answer. It focuses on fruit growing and management.
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Angels
Who is in charge of taking the life of living beings?
In Islamic belief, Hazrat Izraeel is the angel responsible for taking the souls of living beings at the time of their death, making option C correct.
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Inventors
Can you name the inventor of the safety pin?
Walter Hunt is credited with inventing the safety pin in 1849. He designed it as a simple fastening device with a spring mechanism and a clasp to cover the sharp point, making it safe to use.
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Modals
I have made up my mind that I ---------------resign this job.
The correct modal verb to express a firm decision or obligation in this context is 'must'. 'Ought' suggests advice, 'must to' is grammatically incorrect, and 'must have to' is redundant. Therefore, 'must' fits best in the sentence.
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Inventors
Who invented the method of manufacturing steel from iron?
The method of manufacturing steel from iron, specifically the Bessemer process, was invented by Henry Bessemer, who is not listed among the options. Therefore, 'None of these' is the correct answer.
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Prepositions
My father found it difficult to accede ------------ my request.
The verb 'accede' is correctly followed by the preposition 'to' when meaning to agree to or give consent to a request, demand, or treaty. The phrase 'accede to my request' is the correct and idiomatic usage. The other options ('of', 'about', 'by') are incorrect in this context.