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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 sum of all natural numbers between 100 and 1000 which are multiple of 5 is:, (a) 98,450, (b) 96,450, (c) 97,450, (d) 95,450, , atthtypnen, , a"+b", , , , [2] Find n such that ‘may be the geometric mean between a and b :, , (a) 112, (b) 1, (c) -1/2, (d)o, , [3] The sum of an A P, whose first term is - 4 and last term is 146 is 7171. Find the value of n., (a) 99, (b) 100, (c) 101, (d) 102, , [4] _ If the first term of a G.P exceeds the second term by 2 and the sum to infinity is 50, the series, , s, (b) 10, 8, Fr ceeeeseceeceeee, , 10 10, (c) 10, so", , , , (d) None
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), , (5], , (6), , (7], , (8], , (9], , in'defines :, , ) MaeuGnst), , (a) =, , n(n+1), (bo) —, , n(n+1)]*, |, (d) None of these, Divide 30 into five parts in A.P., such that the first and last pails are in the ratio 2: 3:, , 24 27 33 36, (2265.5, 35, , 38 33 24 27, ists 9., , (b) 6,=, , 27 24 36 33, (c), , Sistars®, , me ar 28 34, Moo> s' ‘is? s, , Ifa’ = bY = c'? and a, b, c are in G.P; the x, y, z are in:, (a) AP., , (b) G.P., , (c) Both (a) & (b), , (d) None, , Find the sum to n terms of the series :7+77+ 777 + ........0. ton terms :, (a) 2 (10% - 10) -=, , (b) 2 (10 - 10) +=, , (a) 2 (10 - 10) -=, , 7 7 ™m, (a) a (10°"* — 10) ~~, , Find the sum of all natural numbers between 250 and 1,000 which are exactly divisible by 3 :, (a) 1,56,375, (b) 1,56,357, , ASE.
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), , (c) 1,65,375, (d) 1,65,357, , [10] If the pth term of a G.P. is x and the qth term is y, then find the nth term :, , (11], , [12], , (13], , ‘xin-ar, , (a) rail, , mah, , (b), , (c) 1, , , , , , (9) [yam, , A person pays Rs.975 in monthly instalments, each instalment Is less than former by Rs.5., The amount of first instalment is Rs. 100. In what time will the entire amount be paid?, , (a) 26 months, (b) 15 months, (c) Both (a) & (b), (d) 18 months, , If the sum of n terms of an A.P-_ is (3n? - n) and its common difference is 6. then its first term is, , (a) 3, (b) 2, (c) 4, (d) 1, , Find the sum of the series :, DET E TZ sicccccscrscscscvoepil 297., (a) 8970, , (b) 8870, , (c) 7630, , (d) 9875
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), , [14] A certain ball when dropped to the ground rebounds to 2 ofthe height from which it falls; it is, , dropped from a height of 100 metres find the total distance it travels before finally coming to, rest ©, , (a) 600m, (b) 700m, (c) 900m, (d) 200m, , [15] In a GP if the (p + q)th term is m and (p - q)th term is n, then the pth term is :, (a) mn, (b) vmn, (c) m2, (d) n2, , [16] The sum of the series :, 0.5 + 0.55 + 0.555 + ........-o+0 to n terms is :, , (a) +511 - 0.1), (a) *-S11-(0.17), (a) =+3 (1-017), , (2+ 51+ (0.1), , [17] A contractor who fails to complete a building in a certain specified time is compelled to forfeit, Rs.200 for the first day of extra time required and thereafter forfeited amount is increased by, Rs.25 for every day. If he loses Rs.9.450, for how many days did he over-run the contract, time?, , (a) 19 days, (b) 21 days, (c) 23 days, (d) 25 days, , awe Paget, Mine nee tet
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CA SUMIT ARORA CLASSES RC Assessment Program (RCAP), , [18] The first, second and seventh term of A.P. are in G-P. and the common difference is 2, the 2nd, , [19], , [20], , term of AP. is :, (a) 5/2, , (b)2, , (c) 3/2, , (d) 1/2, , Aman employed in a company Is promised a salary of Rs.3,000 every month for the first year, and an increment of Rs.1,000 in his monthly salary every succeeding year. How much does, the man eam from the company in 29 years?, , (a) Rs.30,00.000, (b) Rs.27,50,000, (c) Rs.19,10,000, (d) Rs.7,99,000, , Ifa, b, c are in AP. and x, y, z are in G-P, then the value of x®), yes), zi#lis :, (a)1, , (b) 0, , (c) b(c - a), , (d) None, , awe Paget, Mine nee tet
