Study HubHubPage 162/164Scan verified MCQs with the answer highlighted, then open explanations when you want the reasoning.
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Work and Time (Rates)
A person can do a work in 10 days, but another can do it in 15 days. In how many days will they complete the task if they work together?
The first person completes 1/10 of the work per day, and the second person completes 1/15 per day. Together, they complete 1/10 + 1/15 = 1/6 of the work per day, so they finish the work in 6 days.
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Average Speed
The speed of the train going from Nagpur to Allahabad is 100 km/h, while when coming back from Allahabad to Nagpur, its speed is 150 km/h. Find the average speed during the whole journey.
The average speed for a round trip when distances are equal is given by the harmonic mean: 2 × (100 × 150) / (100 + 150) = 120 km/h. Hence, option D is correct.
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United Nations (UN) Languages
How many official working languages are recognized by the United Nations (UNO)?
The United Nations officially recognizes six working languages: Arabic, Chinese, English, French, Russian, and Spanish. Therefore, the correct answer is 6.
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Work and Time
Twelve men take 6 hours to finish a piece of work. After the 12 men have worked for 1 hour, the boss calls in 8 more men. How many more hours would 20 men take to complete the remaining work?
Twelve men take 6 hours, so total work = 12 × 6 = 72 man-hours. After 1 hour, 12 men complete 12 man-hours, leaving 60 man-hours. Now 20 men work on the remaining 60 man-hours, so time needed = 60 ÷ 20 = 3 hours. However, the options do not include 3 hours as the correct answer for the remaining time after the first hour. Rechecking: After 1 hour, work done = 12 men × 1 hour = 12 man-hours. Remaining work = 72 - 12 = 60 man-hours. With 20 men working, time = 60 ÷ 20 = 3 hours. The correct answer is 3 hours, which corresponds to option A, not C. Therefore, correct_answer should be A.
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Number Series
Which number will complete the following number series? 3, 6, 15, ___, 123, 366
The number series follows the pattern where each term is obtained by multiplying the previous term by 3 and then subtracting 3. Specifically: 3 × 3 - 3 = 6, 6 × 3 - 3 = 15, 15 × 3 - 3 = 42, 42 × 3 - 3 = 123, and 123 × 3 - 3 = 366. Therefore, the missing number in the series is 42, which corresponds to option C.
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Geography (World maps)
On the map of the world, which country appears as a long shoe?
Italy is famously recognized on the world map for its distinctive boot-like shape, often described as a long shoe. None of the other options have a similar shape or are commonly described this way.
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Vocabulary (Antonyms)
Which word is the opposite of 'bleak'?
The word 'bleak' means cold, desolate, or lacking in warmth and cheer. The opposite is 'bright,' which conveys light, cheerfulness, and positivity. Therefore, option C is the correct antonym.
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World Resources/Economy
Which country is the biggest producer of uranium in the world?
Canada is one of the world's largest producers of uranium, historically ranking among the top producers globally. France and South Africa produce uranium but not at the scale of Canada. 'None of these' is incorrect since Canada is listed as an option.
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Grammar (Conditionals)
If they ___ new batteries, their torch would have worked better.
The sentence is a third conditional, which refers to a hypothetical past situation and its possible past result. The correct form is 'If they had bought new batteries, their torch would have worked better.' Option C uses the past perfect tense 'had bought,' which is appropriate here.
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Grammar (Prepositions)
He is French! For some reason, I was ___ the impression that he was Italian.
The correct preposition to use with 'impression' in this context is 'under.' The phrase 'under the impression' means to believe something that is not true, which fits the sentence perfectly.