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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), WEEKLY TEST, , RCAP MARKS: 20 DURATION:25 MINUTES, , {Each question carries 1 mark, with a negative marking of 0.25 on a wrong answer), , [1] The number of triangles that can be formed by choosing the vertices from a set of 12 points,, seven of which lie on the same straight line, is:, , (a) 185, (b) 175, (c) 115, (d) 105, , [2] A code word is to consist of two English alphabets followed by two distinct numbers between 1, and 9. How many such code words are there?, , (a) 6,15,800, (b) 46,800, , (0) 7,19,500, (d) 4,10,800, , [3] A boy has 3 library tickets and 8 books of his interest in the library of these 8, he does not want, to borrow Mathematics part-ll unless Mathematics part-| is also borrowed? In haw many ways, can he choose the three books to be borrowed?, , (a) 41, (b) 51, (c) 61, (a) 71, , [4] An examination paper consists of 12 questions divided into two parts A and B. Part A contains, 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting at least 3 from each part. In how many maximum ways can the candidate select the, questions?, , (a) 35, (b) 175
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), (c) 210, , (d) 420, , [5] A Supreme Court Bench consists of 5 judges. In how many ways, the bench can give a, majority division?, , (a) 10, (b) 5, , (c) 15, (d) 16, , [6] Given: P (7, k) = 60 P(7, k- 3). Then :, (abk=9, (b)k=8, ()k=5, (d)k=0, , [7] The number of ways in which n books can be arranged on a shelf so that two particular books, are not together is =, , (a) (n- 2) x (n= 1)!, (b) (n- 2) x (n+ 1)!, (c) (n- 1) x(n + 1)!, (d) (n- 2) x (n + 2)!, , [8] In how many ways can the letters of the word FAILURE be arranged so that the consonants, may occupy Only odd positions?, , (a) 576, (b) 476, (c) 376, (d) 276, , awe Paget, Mine nee tet
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), [9] Five bulbs of which three are defective are to be tried in two lights-points in a dark-room. In, how many trials the room shall be lighted?, , (a) 10, , (b)7, , (c)3, , (d) None of these, , [10] In how many ways can a party of 4 men and 4 woman be seated at a circular table, so that no, two woman are adjacent?, , (a) 164, (b) 174, (c) 144, (d) 154, , [11] The value of £3... 5C, is:, (a) 29, (b) 31, (c) 35, (d) 26, , [12] If$P, = 24 ®C,, then find r :, (a)4, (b) 6, (c)2, (d)1, [13] Find the number of combinations of the letters of the word COLLEGE taken four together :, (a) 18, (b) 16, (c) 20, (d) 26, , awe Paget, Mine nee tet
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), , [14] How many words can be formed with the letters of the word 'ORIENTAL' so that A and E, always occupy odd places:, , (a) 540, , (b) 6640, (c) 8460, (d) 8450, , [15] If 190 Cg9 = 999Cg7 + "Cor find x :, (a) 999, (b) 998, (c) 997, (d) 1000, , (a) 260, (b) 360, (c) 280, (d) 380, , [17] A building contractor needs three helpers and ten men apply. In how many ways can these, selections take place?, , (a) 36, (b) 15, (c) 150, (d) 120, , [18] There are three blue balls, four red balls and five green balls. In how many ways can they be, arranged in a row?, , (a) 26,720, (b) 27,720
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), (c) 27,820, , (d) 26,620, , [19] If C(n, r) : C(n, r 41) = 1: 2 and C (n, r+ 1): C (n, r + 2) = 2:3, determine the value of n andr:, (a) (14, 4), (b) (12, 4), (c) (14, 6), (d) None., , [20] Six seats of articled clerks are vacant in a ‘Chartered Accountant Firm’. How many different, batches of candidates can be chosen out of ten candidates ?, , (a) 216, (b) 210, (c) 220, (d) None, , awe Paget, Mine nee tet
