In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
120
720
4320
2160
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1
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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2
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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3
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In how many ways can the letters of the word 'LEADER' be arranged?
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4
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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5
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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6
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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7
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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8
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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9
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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10
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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