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In a row of girl students facing north, Radhika is 10th to the left of Purnima, who is 21st from the…

There are 43 students. Monika is 17th from the left and 4th to the right of Radhika, so Radhika is 17 − 4 = 13th from the left. Purnima is 10 places to the right of Radhika,…

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In a row of girl students facing north, Radhika is 10th to the left of Purnima, who is 21st from the right end. If Monika, who is 17th from the left end, is 4th to the right of Radhika, how many students are there in the row?

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Correct answer C

There are 43 students. Monika is 17th from the left and 4th to the right of Radhika, so Radhika is 17 − 4 = 13th from the left. Purnima is 10 places to the right of Radhika, so she is 13 + 10 = 23rd from the left. She is also 21st from the right, so the row has 23 + 21 − 1 = 43 students. Adding 23 and 21 without removing Purnima, who is counted from both ends, gives 44; and since the positions fix the total exactly, the data is sufficient.

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