Q1. How many five-letters containing 2 vowels and 3 consonants can be formed using the letters of the word EQUALITY so that 2 vowels occur together?
(e) None of these
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Q2. There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?
Q3. From a group of 5 men and 10 women a committee has to formed of 5 members in which at least 2 men are required. Find the number of ways to form the committee.
Q4. How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?
Q5. In how many different ways can letter of the word “COMPLAINT” be arranged in such a way that vowels occupy only the odd positions?
Q6. A bag contains balls of Red, Black, White, and Brown colour. Probability of getting one Red ball from a bag full of balls is 2/13 and number of Black balls in the bag is 5. If white ball is 30% less than Brown ball and 40% more than the black balls then find the number of Red balls.
Q7. Three mountaineers Amit, Vinit and Nishit are climbing up a mountain with their respective probabilities of reaching the summit being and respectively. What is the probability that Exactly one of them reaches the Summit?
Q8. A coin is so biased that the heads occurs four times as frequently as tails. Another coin is biased such that the heads occurs 65% of the times. When the two coins are tossed simultaneously, what is the probability of at least one tail turning up?
(e)none of these
Directions (9-10): There are four boxes. Each box contains two balls. One red and one blue. You draw one ball from each of the four boxes.
Q9. What is the probability of drawing at least one red ball ?
(e) None of these
Q10. If in each bag, a green ball is added, then find the probability of drawing at least one blue ball ?
Directions (11-15): Find missing number in given series.
Q11. 697, 701, ?, 753, 817, 917
Q12. 512, 345, 227, 182, ?, 159
Q13. ?, 120, 134, 160, 204, 272
Q14. 16, 54, 128, 250, 432, ?
(e) None of these
Q15. 26, 36, 54, 80, 114, ?
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