NIMCET Previous Year Questions (PYQs) – 2018 – Page 1 of 6
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Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer than 20 minutes for the other. What is the probability that they meet?
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Solution
Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probability that
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Solution
A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a prize. The probability that they will not win a prize in a single trial is :
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Solution
The total number of ways in which numbers can be choosed =25 x 25=625 The number of ways in which either players can choose same numbers = 25
Probability that they win a prize = 25/625 = 1/25
Thus, the probability that they will not win a prize in a single trial = 1 - 1/25 = 24/25
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Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common ratio?
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Solution
Suppose that m and n are fixed numbers such that the mth term of an HP is equal to n and the nth term is equal to m, (m ≠ n). Then the (m + n)th term is:
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Solution
Given: The sequence is in H.P. with
In an H.P., reciprocals of terms form an A.P.
So,
This A.P. leads to common difference
Thus, the reciprocal of the
Hence, the
Final Answer:
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