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How many terms of the arithmetic progression 5, 7, 9, … are required for the sum to be 480?
a) 18
b) 15
c) 24
d) 20
e) 28
Option d – 20
The third term of a geometric progression is 4. Find the product of its first five terms.
a) 1024
b) 512
c) 256
d) 128
e) 2048
Option a – 1024
Find the sum of all integers from 1 to 100 that are divisible by 2 or 5.
a) 3050
b) 3040
c) 3100
d) 2950
e) 2999
Option a – 3050
A man increases his daily savings by ₹4 compared to the previous day. If he saves ₹20 on the first day, estimate his total savings in February 2017.
a) 1000
b) 1500
c) 2000
d) 2500
e) 3000
Option c – 2000
A ball is dropped from a height of 32 meters and bounces back to one-fourth of its previous height after each fall. Find the total distance travelled before coming to rest.
a) 220
b) 224
c) 226
d) 230
e) Unlimited
Option b – 224
Let A and B be the sums of the geometric progressions (1, 1/4, 1/16, …) and (1, 1/2, 1/4, …) respectively. Find the value of 3A/B.
a) 1
b) 2
c) 9
d) 12
e) 15
Option b – 2
Find the sum to infinity of the series 9, −6, 4, −… .
a) 27/5
b) 2/5
c) 3/4
d) 1/4
e) None
Option a – 27/5
In a geometric progression, the sum to infinity is −3 and the second term is −2/3. Find the common ratio.
a) 1/4
b) 2/3
c) 5/8
d) 3/7
e) 9/7
Option b – 2/3
The terms of a geometric progression are 8, m, n, 64. Find the difference between m and n.
a) 24
b) 36
c) 32
d) 39
e) 41
Option c – 32
The sum to infinity of a geometric progression is 3 and the first term is 2. Find the value of 3r.
a) 1/2
b) a
c) a−3
d) 1
e) 3
Option d – 1
The sum of the first n terms of an arithmetic progression is given by Sₙ = n(n + 8). Find the third term.
a) 9
b) 11
c) 12
d) 13
e) 14
Option d – 13
Find the sum of the first 30 terms of the series 5, 11, 17, … .
a) 2760
b) 2670
c) 2070
d) 2076
e) None
Option a – 2760
Find the 100th term of the arithmetic sequence 5, 7, 9, 11, 13, … .
a) 302
b) 320
c) 203
d) 230
e) None
Option c – 203
How many terms of the arithmetic progression 1, 5, 9, 13, … are needed for the sum to be 190?
a) 8
b) 12
c) 9
d) 10
Option d – 10
Find the sum of all two-digit odd numbers.
a) 2025
b) 2525
c) 2520
d) 2020
e) 2502
Option b – 2525
The fourth and ninth terms of a geometric progression are 1/3 and 81 respectively. Find the first term.
a) 1/3
b) 2/3
c) 1/4
d) 1/81
e) None
Option d – 1/81
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