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2007 MBA - Progression test Question paper Course:   University: Progression test Question 2 of 25 the sum of 5 + 55 + 555 + ...... to n term 1. 5/81 [10n+1 - 9n-10] 2. 5/81[10n - 9n + 10] 3. 5/9[10n - 9n + 10] 4. None of these Mark for revision | Unmark Question 3 of 25 Three numbers whose sum is 15 are in A.P. ; if 1,4 and 19 be added to them respectively, the results are in G.P. Determine the numbers. 1. 2, 5, 8 2. 1, 6, 8 3. $8, 5, 2 4. None of these Mark for revision | Unmark Question 4 of 25 Find the general term of the geometric progression with the 2nd term = ½, the 5th term = 4. 1. 2n-3 2. 2n +3 3. 2n - 1 4. None of these Mark for revision | Unmark Question 5 of 25 the sum of 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + … to 2n terms. 1. n 2. -n 3. n2 4. 2n - 1 Mark for revision | Unmark Question 6 of 25 If x, y, z are in A.P. then (x + 2y - z) (2y + z - x) (z + x -y) = ? 1. xyz 2. 2xyz 3. 4xyz 4. None of these Mark for revision | Unmark Question 7 of 25 In a certain colony of cancerous cells, each cell divides into two every hour. How many cells will be produced from a single cell if the rate of division continues for 10 hours? 1. 1000 2. 1035 3. 1023 4. 1003 Mark for revision | Unmark Question 8 of 25 Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3? 1. 156375 2. 14637 3. 136375 4. None of these Mark for revision | Unmark Question 9 of 25 Find the sum of the series to n terms 3 + 6 + 10 + 16 + … 1. 2n + 1 2. n + n2 -2n 3. $2n -1 + n + n2 4. None of these Mark for revision | Unmark Question 10 of 25 If (xn + 1 + yn + 1) / (xn + yn) is the harmonic mean of x and y, find the value of n? 1. 1 2. -2 3. 2 4. -1 Mark for revision | Unmark Question 11 of 25 The 6th and 17th terms of an A.P. are 19 and 41 respectively, then the 40th term is 1. 87 2. 80 3. 60 4. 65 5. 78 Mark for revision | Unmark Question 12 of 25 Find the sum of first 24 terms of A.P: a1, a2, a3, ……, if it is known that a1 + a5 + a10 + a15 + a20 + a24 = 225. 1. 900 2. 950 3. 1000 4. None of these Mark for revision | Unmark Question 13 of 25 After striking a floor a certain ball rebounds toth of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 120 metres. 1. 1080 2. 1000 3. 900 4. 890 Mark for revision | Unmark Question 14 of 25 Nidhi arranges to pay off a debt of Rs. 3600 to CASA Bank by 40 annual installments in the form of an A.P. When 30 of the installments had been repaid she dies, leaving a third of the debt unpaid. What is the value of the first installment 1. 45 2. 47 3. 49 4. 51 Mark for revision | Unmark Question 15 of 25 The interior angles of a polygon are in A.P. The smallest angle is 120o and the common difference is 5o. Find the number of sides of the polygon. 1. 6 2. 7 3. $8 4. 9 Mark for revision | Unmark Question 16 of 25 In an A. P. fourth term is –13/2, seventeenth is zero and last one is 21. Find the no. of terms. 1. 47 2. 48 3. 49 4. 59 Mark for revision | Unmark Question 17 of 25 A person saves each year Rs. 100 more than he saved in the preceding year, and he saves Rs. 200 the first year. How many years would it take for his savings, not including interest to amount to Rs. 23000? 1. 16 2. 18 3. $16 4. 22 Mark for revision | Unmark Question 18 of 25 A body falls 16 metres in the first second of its motion, 48 metres in the second, 80 metres in the third, 112 metres in the fourth and so on. How far does it fall during the 11th second of its motion? 1. 300 metres 2. 306 metres 3. 326 metres 4. 336 metres Mark for revision | Unmark Question 19 of 25 If H is H.M. between a and b then the value of H/a + H/b is 1. 2 2. 3. 4. None of these Mark for revision | Unmark Question 20 of 25 The sum of three consecutive terms of an A.P. is 15 and the sum of their squares is 83. Find the terms. 1. 3, 6, 9 2. 3, 5, 7 3. $4, 7, 9 4. 3, 5, 9 Mark for revision | Unmark Question 21 of 25 The sum of 100 terms of the series 12 -22 + 32 -42 + ………..is 1. - 5050 2. - 4950 3. - 1101 4. 240 Mark for revision | Unmark Question 23 of 25 If a, b, c, d and in G.P. then (a - c)2 + (b -c)2 + (b - d)2 = 1. 0 2. (a -d)2 3. (b - d)2 4. None of these Mark for revision | Unmark Question 24 of 25 If x, y, z are in A.P. then , , are 1. A.P 2. G.P 3. H.P 4. None of these Mark for revision | Unmark Question 25 of 25 If a, b, c are in A.P. then 1/bc, 1/ ca, 1/ab are in 1. A.P. 2. G.P. 3. H.P. 4. None of these Return to question paper search

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