Multiple choice

In a city, 50% of the population can speak in exactly one language among Hindi, English and Tamil, while 40% of the population can speak in at least two of these three languages. Moreover, the number of people who cannot speak in any of these three languages is twice the number of people who can speak in all these three languages. If 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil, then the percentage of the population who can speak in Hindi and in exactly one more language among English and Tamil is _______________.

  1. 22%

  2. 25%

  3. 30%

  4. 38%

Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Since 50 percent speak exactly one language and 40 percent speak at least two languages, the remaining 10 percent speak none of the languages. Because the people who speak none are twice those who speak all three, exactly 5 percent of the population speaks all three languages. Subtracting this 5 percent from the 40 percent who speak at least two languages leaves 35 percent who speak exactly two languages. Adding the 50 percent who speak exactly one language, the 35 percent who speak exactly two languages, and the 5 percent who speak all three languages equals 90 percent of the population. The remaining 10 percent of people cannot speak any of the three languages, which means the number of people who cannot speak any language is twice the 5 percent of people who speak all three languages. Because 52 percent of the population speaks Hindi and 25 percent speaks exactly one language from English or Tamil, subtracting the 25 percent and the 5 percent who speak all three from the 52 percent total for Hindi leaves 22 percent who speak Hindi alongside exactly one other language.