QUESTIONS CARRY TWO MARKS EACH.
The probability that when 12 balls are distributed among three boxes, the first will contain three balls is,
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Solution
Since each ball can be put into any one of the three boxes. So,the total number of ways in which 12 balls can be put into three boxes is 312.Out of 12 balls, 3 balls can be chosen in 12C3 ways.Now,remaining 9 balls can be put in the remaining 2 boxes in 29 ways. So, the total number or ways in which 3 balls are put in the first box and the remaining in other two boxes is 12C3 × 29.
Hence, required probability =\(\frac{^{12}C_{3}2^{9}}{3^{12}}\)
QUESTIONS CARRY TWO MARKS EACH.
In an examination, 65% students passed in Civics and 60%in Histroy,40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?
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Solution
QUESTIONS CARRY TWO MARKS EACH.
If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5?
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Solution
QUESTIONS CARRY TWO MARKS EACH.
Find the following sum
\(\frac{1}{(2^{2}-1)}+\frac{1}{(4^{2}-1)}+\frac{1}{(6^{2}-1)}+\)……\(+\frac{1}{(20^{2}-1)}\)-
Solution
QUESTIONS CARRY TWO MARKS EACH.
Wendy, a student, is an avid backgammon player. All students play either chess or checkers, but some checkers players do not play chess because they do not understand chess strategy. Backgammon players never play checkers, because they do not find checkers challenging. Therefore, Wendy must understand chess strategy.Which of the following must be true for the conclusion drawn above to be logically correct?
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Solution
The argument’s premises boil down to the following:
1. Wendy is a student who plays backgammon.
2. All students play either chess or checkers, but no
backgammon player plays checkers.
Based on these premises we can conclude that Wendy plays chess. In order to also conclude that Wendy understands chess strategy, we must assume that all chess players understand chess strategy:
Premise:X is an A.
Assumption:All A’s are B’s.
Conclusion:X is a B.
Statement (a) provides the assumption needed to draw the conclusion.
If a,a + 2 and a + 4 are prime numbers, then the number of possible solutions for a is
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Solution
a, a + 2, a + 4 are prime numbers.
Put value of‘a’ starting from 3, we will have 3, 5 and 7 as the only set of prime numbers satisfying the given relationships.
A sentence is broken into 3 parts (a), (b) and (c). Read each sentence to find out any grammatical error in it. The error if any will be in the part of the sentence the letter of that part is the answer.
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Solution
If I do not economise
Which one of the following option is the closest in meaning to word Radiant?
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Solution
The meaning of the word Radiant (Adjective)as used in the passage is : showing great happiness, love or health; giving a bright light.
Choose the correct alternative.It is difficult to speak a language fluently unless ______regularly.
Choose the correct alternative.My friend and I decided to watch a play,however______enjoyed it.