ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is NAAGI NAAIG IAANG INAGA
2 If 4 6Pr= 6Pr+1, then r is equal to 4 3 2 1
3 Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in 4 ways 12 ways 256 ways 24 ways
4 The value of n, when nP2= 20 is 3 4 6 5
5 In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is 2 / 5 3 / 5 4 / 5 None of these
6 There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is 7 / 25 9 / 25 11 / 25 None of these
7 Three dice are thrown together. The probability of getting a total of at least 6 is 103 / 108 10 / 216 93 / 108 None of these
8 Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is 3 / 17 5 / 17 7 / 17 9 / 17
9 Two unbiased dice are thrown. The probability that the total score is > 5 is 1 / 18 7 / 18 13 / 18 11 / 18
10 5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is 1 / 32 31 / 32 1 / 16 None of these
11 Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is 44/4165 22/4165 11/4165 None of these
12 Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is 1/12 1/6 5/12 7/12
13 Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is 1/4 1/3 1/2 1/6
14 A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is 1/18 1/12 1/36 None of these
15 A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is 1/13 2/13 7/52 None of these
16 A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is 1/8 2/8 3/8 None of these
17 An unbiased die is thrown. Then the probability of getting a prime is 1/2 2/3 3/4 None of these
18 Three unbiased coins are tossed. Then the probabilities of getting two heads is 3/8 1/8 1/4 None of these
19 Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is {(1, 1), (2, 2), (3, 3)} {(4, 4), (5, 5), (6, 6)} {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} None of these
20 The number of divisors of 1029, 1547 and 122 are in A.P. G.P. H.P. None of these
21 The number of divisors of 1029, 1547 and 122 are in A.P. G.P. H.P. None of these
22 Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is 2<sup>9</sup> 2<sup>10</sup> 2<sup>11</sup> 2<sup>8</sup>
23 An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in A.P. G.P. H.P. None of these
24
25 1/2 2 1/4 4
26 The sum of the squares of three distinct real numbers, which are in G.P., is S2. if their sum isαS then
27
28 The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is 120 124 128 132
29 Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is
30 If b1, b2, b3, ... are in G.P. with first term unity and common ratio r, then the minimum value of b1- b3+ b5is equal to 3/4 1/4 1 None of these
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