NUMBERS AND SEQUENCES

If the Highest Common Factor of 210 and 55 is expressible in the form 55x - 325 , find x.
1. 4
2. 5
3. 6
4. 7
Find the greatest number that will divide 445 and 572 leaving remainders 4 and 5 respectively.
1. 43
2. 56
3. 63
4. 45
Find the H.C.F of 396, 504, 636.
1. 12
2. 13
3. 14
4. 15
Find the remainders when 70004 is divided by 7
1. 5
2. 4
3. 8
4. 10
Determine the value of d such that 15 ≡ 3 (mod d).
1. 4,6,12
2. 4,6,2
3. 4,8,12
4. 4,1,12
If 9th term of an A.P. is zero, then its 29th; term is _____ its 19th term.
1. Thrice of
2. Twice of
3. Half of
4. Equal of
Find the sum of first 20 terms of an A.P. whose nth term is given by Tn=(7−3n).
1. 382
2. -490
3. 420
4. -382
In an A.P., the sum of first n terms is 3n²/2 + 13n/2.Find its 25th term.
1. 80
2. 120
3. 60
4. 78
Which term of the A.P. 5,2,−1,....... is−22?
1. 9
2. 11
3. 10
4. 7
The 2nd, 31st and the last term of an AP are 31/4,½and −13/2,respectively. Find the number of terms
1. 60
2. 59
3. 65
4. 45
In an A.P., if the pth term is 'q' and the qth term is 'p', then its nth term is _____.
1. p+q−n
2. p+q+n
3. p−q+n
4. p−q−n
An A.P. consists of 21 terms. The sum of the three terms in the middle is 129 and of the last three is 237. Find the A.P.
1. 4, 8, 12, 16
2. 3, 6, 9, 12
3. 4, 7, 10, 13
4. 3, 7, 11, 15
If there are (2n+1)terms in A. P., then find the ratio of the sum of odd terms and the sum of even terms.
1. n:(n+1)
2. (n+1):n
3. n:(n+2)
4. (n+2):n
Find the number of terms in the A.P. 3, 6, 9, 12,…, 111.
1. 39 terms
2. 37 terms
3. 35 terms
4. None
In an A.P., sum of four consecutive terms is 28 and their sum of their
squares is 276. Find the four numbers.
1. 1, 5, 9 and 13
2. 1, 4, 9 and 12
3. 3, 5, 7 and 9
4. None
Find the 8th term of the G.P. 9, 3, 1,…
1. 1/342
2. 1/243
3. 1/121
4. 1/53
The present value of a machine is ₹40,000 and its value depreciates each year by 10%. Find the estimated value of the machine in the 6th year.
1. ₹25610.60
2. ₹23619.60
3. ₹20000.00
4. ₹2526.60
Find the sum of 8 terms of the G.P. 1, −3 ,9, −27…
1. −1640
2. 1640
3. −1440
4. 1440
Find the first term of a G.P. in which S6 = 4095 and r = 4 .
1. 2
2. 3
3. 5
4. 7
A person saved money every year, half as much as he could in the previous year. If he had totally saved ₹ 7875 in 6 years then how much did he save in the first year?
1. 4000
2. 5000
3. 6000
4. 7000

NUMBERS AND SEQUENCES

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