There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. 10 students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hi

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Submitted by examrobotsa on

Q: 144 (IAS/1998)
There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. 10 students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English ?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,5,5,2,1,2,5

keywords: 

{'many students': [0, 1, 0, 0], 'hindi': [7, 7, 4, 13], 'students': [0, 1, 1, 1], 'nursery class': [0, 1, 0, 0], 'number': [0, 0, 0, 2], 'english': [1, 0, 0, 0]}

The question states there are 50 students, 21 of whom speak English. However, we must consider that among these 21 English-speaking students, 10 also speak Hindi. Let`s analyze each option:

Option 1: 21 Hindi speakers, 11 speaking only Hindi, and 29 only English - This suggests there are a total of 21 Hindi speakers, but 10 of these would be bilingual, leaving only 11 who speak only Hindi. But it suggests that there are 29 who speak only English, which can`t be true since the total number of English speakers is 21.

Option 2: 28 Hindi speakers, 18 speaking only Hindi and 22 only English - This suggests 18 students speaking only Hindi and 22 students speaking only English which is not possible as the total number of English speakers given is less than that.

Option 3: 37 Hindi speakers, 27 speaking only Hindi and 13 only English - This implies that there are more students who speak only Hindi than the total number of English speakers which contradicts the given information.

Option 4: 39 Hindi speakers, 29 speaking only Hindi and 11 only English - This can be correct given 10 bilinguals added to 29 who speak only Hindi