APTI DAY15
Progressions Test – 1
1.
A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, four rupees on the third day and so on. How much will the boy get if he starts working on the 1 st of February and finishes on the 1st of February and finishes on the 20th of February?
(a) 220
(b) 220 - 1
(c) 219 - 1
(d) 219
2.
If the fifth term of GP is 81 and first term is 16, what will be the 4 th term of GP?
(a) 36
(b) 18
(c) 54
(d) 24
3.
The sum of the first and the third term of a geometric progression is 20 and the sum of its first three terms is 26. Find the progression. (a) 2, 6, 18…
(b) 18, 6, 2,…
(c) Both of these
(d) Cannot be determined
4.
The sum of 5 numbers in AP is 30 and the sum of their squares is 220. Which of the following is the third term?
(a) 5
(b) 6
(c) 8
(d) 9
5.
Find the general term of the GP with the third term 1 and the seventh term 8.
(a) (23/4)n-3
(b) (23/2)n-3
(c) (23/4)3-n
(d) None of these
Four geometric means are inserted between 1/8 and 128. Find the third geometric mean.
(a) 4
(b) 16
(c) 32
(d) 8
6.
7.
Two numbers A and B are such that their GM is 20% lower then their AM. Find the ratio between the numbers.
(a) 3 : 2
(b) 4 : 1
(c) 2 : 1
(d) 3 : 1
8.
Find the value of the expression: 1 – 4 + 5 - 8... to 50 terms.
(a) -150
(b) -75
(c) -50
(d) 75
What will be the maximum sum of 44, 42, 40, …?
(a) 502
(b) 504
(d) None of these
9.
(c) 506
10. If the mth term of an AP is 1/n term is 1/m, then find the sum to mn terms.
(a) (mn – 1) / 4
(b) (mn + 1) / 4
(c) (mn + 1) / 2
(d) (mn -1) / 2
11. The first and the last terms of an AP are 107 and 253. If there are five term in this sequence, find the sum of sequence.
(a) 1080
(b) 720
(c) 900
(d) 620
12. What will be the sum to n terms of the series 8 + 88 + 888 + …?
(a)
8(10 n 9n)
81
(b)
8(10 n
1
10 9n)
81
(c) 8(10n-1 – 10)
(d) None of these
13. After striking the floor, a rubber ball rebounds to 4/5 th of the height from which it has fallen.
1.
A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, four rupees on the third day and so on. How much will the boy get if he starts working on the 1 st of February and finishes on the 1st of February and finishes on the 20th of February?
(a) 220
(b) 220 - 1
(c) 219 - 1
(d) 219
2.
If the fifth term of GP is 81 and first term is 16, what will be the 4 th term of GP?
(a) 36
(b) 18
(c) 54
(d) 24
3.
The sum of the first and the third term of a geometric progression is 20 and the sum of its first three terms is 26. Find the progression. (a) 2, 6, 18…
(b) 18, 6, 2,…
(c) Both of these
(d) Cannot be determined
4.
The sum of 5 numbers in AP is 30 and the sum of their squares is 220. Which of the following is the third term?
(a) 5
(b) 6
(c) 8
(d) 9
5.
Find the general term of the GP with the third term 1 and the seventh term 8.
(a) (23/4)n-3
(b) (23/2)n-3
(c) (23/4)3-n
(d) None of these
Four geometric means are inserted between 1/8 and 128. Find the third geometric mean.
(a) 4
(b) 16
(c) 32
(d) 8
6.
7.
Two numbers A and B are such that their GM is 20% lower then their AM. Find the ratio between the numbers.
(a) 3 : 2
(b) 4 : 1
(c) 2 : 1
(d) 3 : 1
8.
Find the value of the expression: 1 – 4 + 5 - 8... to 50 terms.
(a) -150
(b) -75
(c) -50
(d) 75
What will be the maximum sum of 44, 42, 40, …?
(a) 502
(b) 504
(d) None of these
9.
(c) 506
10. If the mth term of an AP is 1/n term is 1/m, then find the sum to mn terms.
(a) (mn – 1) / 4
(b) (mn + 1) / 4
(c) (mn + 1) / 2
(d) (mn -1) / 2
11. The first and the last terms of an AP are 107 and 253. If there are five term in this sequence, find the sum of sequence.
(a) 1080
(b) 720
(c) 900
(d) 620
12. What will be the sum to n terms of the series 8 + 88 + 888 + …?
(a)
8(10 n 9n)
81
(b)
8(10 n
1
10 9n)
81
(c) 8(10n-1 – 10)
(d) None of these
13. After striking the floor, a rubber ball rebounds to 4/5 th of the height from which it has fallen.