A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
A. Rs. 2,00,000
B. Rs. 1,05,000
C. Rs. 4,05,000
D. Rs. 6,50,000
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What is the sum of the following series? -64, -66, -68, ......, -100
A. -1458
B. -1558
C. -1568
D. -1664
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What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?
A. 10,050
B. 5050
C. 5000
D. 50,000
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If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?
A. 26th
B. 27th
C. 28th
D. None of these
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The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by k − ( l + a ) l 2 − a 2
A. S
B. 2S
C. 3S
D. None of these
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If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
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Sum of n terms of the series
2 + 8 + 18 + 32 + ....... is
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If the sums of n terms of two arithmetic progressions are in the ration 5 n + 7 3 n + 5 , th terms are in the ration
A. 5 n − 1 3 n − 1
B. 5 n + 1 3 n + 1
C. 3 n + 1 5 n + 1
D. 3 n − 1 5 n − 1
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If 18, a, b - 3 are in A.P. then a + b =
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If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio
A. 3 : 2
B. 3 : 1
C. 1 : 3
D. 2 : 3
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If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be
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Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn – k Sn-1 + Sn-2 then k =
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If in an A.P., Sn = n2 p and Sm = m2 p, where S denotes the sum of r terms of the A.P., then Sp is equal to
A. 2 1 p 3
B. mnp
C. p3
D. (m + n)p2
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The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is
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The common difference of an A.P., the sum of whose n terms is Sn , is
A. Sn - 2Sn - 1 + Sn - 2
B. Sn - 2Sn - 1 - Sn - 2
C. Sn - Sn - 2
D. Sn - Sn - 1
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Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is
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If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
A. n(n - 2)
B. n(n + 2)
C. n(n + 1)
D. n(n - 1)
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The common difference of the A.P. 2 b 1 , 2 b 1 − 6 b , 2 b 1 − 12 b ,
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If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is
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