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SINGLE CORRECT ANSWER TYPE, S, denotes, , 1. If, , Sn-, , S2-S2-1, , 2., , the, , sum, , of, , n, , =31, then the value, , terms of, , (2) 15, , (3) 16, , (4) 19, , real and 4x, 0, then x, y, z are in, are, , +, , 9y, , +, , Consider the, , ten, , is 18 and the, , sum, , numbers ar, arf, ar,, , of their reciprocals, , (1) 81, , (2) 243, , (3) 343, , (4) 324, , If the sum of n, then the, , (1), , sum, , (1) cn (n+, , (2) n, , a, , 3), , terms of an A.P. is, , 9., , C, , 4b, , (4) 4, b, , a, , ar. If their sum, is 6, then the product, ..,, , (n, , -, , 1), where, , of the squares of these terms, , a,, , are, , in H.P. and f(k), =, , c, , #, , d, , .,, , an, , 0,, , (1) A.P, , (2) G.P, , (3) H.P., , (4) None of these, , a,, , b, c, de R" such that a, b, and c, , is, , 1), , (n + 1) (2n +1), , The, , largest term common to the sequences 1, 11, 21,, to 100 terms and 31, 36, 41, 46,, to 100 terms is, , 6., , (1) ab = cd, , (2) ac= bd, , (3), , (4) none of these, , bc = ad, , a, l2, a, , (2) G.P., , (3) H.P., , (4), , none, , and,, , of these, , +, , 12. The 15th term of the series, , (4) none of these, are, , (1) 3, , in, , A.P., where the distinct numbers x, y,, , (1), z, , 1S, , (4), , f S, denotes the sum of first n terms of an A.P. whose first, , and, , S,S, is independent of x, then S,=, (2) pa, , (4) a, , 10, , (2), , 21, , 39, , (4), , 3)23, 13., , (3) 2, , 10, , 10, , (2), , 3na, , c, , will be in, , b, , (1) A.P, , are in G.P., then the common ratio of the G.P. is, , a, , in A.P. and b,, , (2) 471, , Ifx, 2y, 3z, , term is, , are, , 31,, , ..., , (1) 381, (3) 281, , a , then, , d are in H.P, then, , bc c, n, , a, , are in, , S0)'S2) S3)S), 10., , cn, , Ifa, a2, az..., , (n - 1) (2n-1), , 3, , to, , r=l, , (4) none of these, , . ., , equal, , 2), , a, , (3) 2 2, , ., , is, P, , bq,, , C, , 11. Ifa, b, c are in A.P., then, , (3), , in H.P., and ap,, , r are, , 16z* -6xy- 12yz 8zx, , of these ten numbers is, , 4., , A.P. and, , (2) G.P., (4) none of these, , (3) H.P., , in A.P., p, q, and, , are, , and cr are in G.P., then+, , of n is, , (1) 21, , Ifx, y, z, , an, , Ifa, b, and c, , C, , (1) A.P., , 3., , first, , 8., , lf x1, X23, , ...,, , X20, , are, , none, , in H.P. and xi,, , of these, , 2, X20, , are, , in G.P.. then, , 19, r=l, , (1) 76, , (3) 84, , (2) 80, , (4), , none, , of these
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80, , 26, , 14. Sum of the series, , t, , 7 8I, 81, , b, c and d are in H..,, (1) a tc>b° +, , 18. Ifa,, +... to n terms is, , then, , (2) +d>+e, (4), , (3) acthd>b+, , ()n-3 -1), , (2) n+3"-), , 19., , t a , - 14,, 1S equal t, , (2) (n-) (a, -a,), (4) (n- ) aja,, , (1) (a-a,), (3) na, , (4) n+3" -1), 4, , 15. The sum of the series, , +, , to, , 20. The, , (2), , 1-r, , 44, , 19, 19 19, , (4), , +up, , 19, , oo., , 193, , Then S is equal to, , (2) 38/81, , (3) 36/171, , (4) none of these, , of 20 2, n+n +1 1S, by 7tm)= (-1)"+, n!, , (1), , terms, , sum, , 19!, , (3)2, , 20!, , 2, , 2e, , NUMERICAL VALUE TYPE, to, , (1) 40/9, , 17. The, , 1S, , e+1, , 1-x, , 444, , l93., , T, , 2)e, , (4) 1, , 1-X, , 16. Let S=, , 1, , 16.4! 64.6!, e+1, , (1) e, , 1+X, , (3), , ofthe seriesIt4.21, , e-1, , intinite terms, if | | < 1, is, , (1), , sum, , 1-, , 1-, , bd> b+, , Ifa, a2,..., a, are in H.P., then the expression c, , +, , 3) n+0-3"), , ac +, , of the series whose rth term is, , (2), , 21, , 20!, , (4) none of these, , 21., , 1-2 +3-4 +, , +9, , =, , 22. The value of 24x 48 x 86, , ois, , 23. The sum to 50 terms of the series, , given, , 1-a), 24. The, , is, 25., , sum, , + i s given by., , of 0.2 +0.004+0.00006 +0.0000008+ to, , If A.M., G.M.,, , and H.M. of the first and last terms of the, series 100, 101, 102,, n-1, n are the terms of the series, itself, then the value of n is (100 < n, ...., , 500)