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Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and--
How many students are there in a row ?
I. Manoj is the third from the right end.
II. Ashok is the fifth from the left end and thirteenth to the left of Manoj.
Clearly, I & II alone are insufficient, as there is no specific position mentioned in each of them.
I & II : Let total students in the row = $$x$$
Manoj's position from right end = 3rd
=> Manoj's position from left end = ($$x$$ + 1)-3 [position from left + position from right = total + 1]
= $$x$$ - 2
Ashok's position from left end = 5th
Also, Ashok is thirteen to the left of Manoj, => Ashok's position from left = ($$x$$ - 2) - 13 = $$x$$ - 15
=> $$x$$ - 15 = 5
=> $$x$$ = 20
Thus, I & II together are sufficient.
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