Progression
Exam Duration: 45 Mins Total Questions : 30
Which term of the AO-3,3,9,.....is 117?
- (a)
21st
- (b)
25th
- (c)
18th
- (d)
15th
If five times term of an AP is equal to seven times. The seventh term of the AP, ten what is the twelth term?
- (a)
-1
- (b)
0
- (c)
1
- (d)
-2
Determine k=, so that (k+2), (4k-6) and (3k-2) are three consective terms what is the twelth term?
- (a)
3
- (b)
2
- (c)
4
- (d)
6
In an AP, the first term is 2 and the sum of the first five terms is one-fourth the sum of the next five terms. Find the second term.
- (a)
-4
- (b)
-10
- (c)
-16
- (d)
-12
Find the sum of all the two-digit numbers which leave a remainder of 3 when divided by 7
- (a)
676
- (b)
467
- (c)
567
- (d)
476
The arithmetic mean of two numbers is 46 and the difference between these numbers is 40. Find the two numbers.
- (a)
26,66
- (b)
28,68
- (c)
22,62
- (d)
27,67
The sum to n terms of AP is \({ 3n }^{ 2 }\). Find the nth term of the series.
- (a)
6n-3
- (b)
3n-3
- (c)
3n+3
- (d)
6n+3
The sum of all integers between 50 and 300 which end in 2 is
- (a)
4500
- (b)
4100
- (c)
4300
- (d)
4200
Divide 124 into four parts which are in AP such that the product of the first and fourth part is 128 less than the product of the second and third part.
- (a)
17,25,37,45
- (b)
19,27,35,43
- (c)
21,29,33,41
- (d)
15,23,39,47
If 20 is divided into four parts which are in AP such that the product of the first and fourth is to the product of the second and third is in tha ratio 2:3.
- (a)
1,3,7,9
- (b)
2,4,6,8
- (c)
3,5,5,7
- (d)
4,6,3,7
A man saves Rs.145000 in ten years. In each year after the first year he saved Rs.2000 more than he did in the proceeding year. How much did he save in the first year?
- (a)
Rs.5000
- (b)
Rs.5500
- (c)
Rs.6000
- (d)
Rs.6500
Find the tenth term of the GP \(\frac { 1 }{ \sqrt { 2 } } ,-1,\sqrt { 2 } ,.....\)
- (a)
-16
- (b)
16
- (c)
\(16\sqrt { 2 } \)
- (d)
\(-16\sqrt { 2 } \)
The third term and sixth term of a GP are 1 and 1/8 respectively. Find the fifteenth term.
- (a)
\(\frac { 1 }{ { 2 }^{ 10 } } \)
- (b)
\(\frac { 1 }{ { 2 }^{ 6 } } \)
- (c)
\(\frac { 1 }{ { 2 }^{ 12 } } \)
- (d)
\(\frac { 1 }{ { 2 }^{ 8 } } \)
Find three numbers in GP whose sum is 26 and product is 216.
- (a)
2,6,18
- (b)
3,4,18
- (c)
3,6,12
- (d)
4,6,8
Anil proposes to save Rs.1 on the first day, Rs,2 on the second day, Rs.4 on the third day, Rs. 8 on the fourth day and so on. How much does he save in the mouth of july?
- (a)
\(Rs.{ 2 }^{ 31 }\)
- (b)
\(Rs.{ (2 }^{ 31 }-1)\\ \\ \\ \)
- (c)
\(Rs.\frac { 1 }{ { 2 }^{ 31 } } \)
- (d)
\(Rs.\frac { 1 }{ { 2 }^{ 31 }-1 } \)
The number of bacteria in a certain culture doubles every hour. If there were 50 bacteria present in the culture originally, how many bacteria will born in 12th hour?
- (a)
102460
- (b)
120450
- (c)
102400
- (d)
120400
If the first and fourth terms of a GP are 1 and 27 the common ratio is
- (a)
1
- (b)
\(\frac { 1 }{ 3 } \)
- (c)
3
- (d)
\(\frac { 1 }{ 27 } \)
If \(-\frac { 2 }{ 7 } ,x,-\frac { 7 }{ 2 } \)are in GP,then x is
- (a)
1
- (b)
-1
- (c)
\(\frac { 2 }{ 7 } \)
- (d)
-\(\frac { 7 }{ 2 } \)
A man has to pay Rs.2000 in yearly instalments, each instalment being less than the earlier one by Rs.10. The amount of first instalment is Rs.200. In what time the entire amount will be paid?
- (a)
14 yr
- (b)
10 yr
- (c)
12 yr
- (d)
16 yr
For doing a certain job, a boy is offered Rs. 5 on the first day, Rs.15 on the second day, Rs.90 on the third day and so on. How much will the boy earn at the and of 7 days?
- (a)
Rs.5486
- (b)
Rs.5484
- (c)
Rs.5465
- (d)
Rs.5450
Shyam's rich uncle gave him Rs.100 on his first birthday. On each birthday after that he doubled his previous gift.By the day after Sham's eighth birthday, what was the total amount that his uncle had given him?
- (a)
Rs.25500
- (b)
Rs.25400
- (c)
Rs.25450
- (d)
Rs.25600
The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is \(4\sqrt { 3 } \) and their harmonic mean is 6, then what is the father's age?
- (a)
48 yr
- (b)
32 yr
- (c)
40 yr
- (d)
56 yr
Sum of first 8 terms of an arithmetic progression is 64 and the sum of the first 19 terms is 361. What is the common difference?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
If the3rd and 7th terms of an arithmetic progression are 8 and 20 respectively, then the 5th term in that progression is
- (a)
10
- (b)
12
- (c)
14
- (d)
16
The geometric mean of 4 and x is10, then x is equal is
- (a)
5/2
- (b)
5
- (c)
25
- (d)
50
If m,n,r are in arithmetic progression and a,b,c are in geometric progression, then \({ a }^{ n-r }{ b }^{ r-m }{ c }^{ m-n }\)is eqal to
- (a)
0
- (b)
1
- (c)
\(\sqrt { 2 } \)
- (d)
2
If \({ a }_{ k }=(\sqrt { 3 } { ) }^{ k }\)for k=1,2,3,...and \(\sum _{ k=1 }^{ n }{ { a }_{ k } } =39+13\sqrt { 3 } \) then n is equal to
- (a)
6
- (b)
8
- (c)
10
- (d)
12
If \({ a }_{ k }\)=\((\sqrt { 3 } { ) }^{ k }\) for k=1,2,3,...and \(\sum _{ k=1 }^{ n }{ { a }_{ k } } \)=39+\(3\sqrt { 3 } \) then n is equal to
- (a)
6
- (b)
8
- (c)
10
- (d)
12
The least value of n such that
\(1+3+{ 3 }^{ 2 }+...+{ 3 }^{ n }>2007\) is
- (a)
7
- (b)
8
- (c)
9
- (d)
10
If \({ a }_{ 1 }=7,{ a }_{ 2 }=11,{ a }_{ 3 }=15,...and\quad { a }_{ n }=403,\quad then\quad is\quad equal\quad to\quad \)
- (a)
97
- (b)
98
- (c)
99
- (d)
100
1654060945.png)
1654060942.png)
1653987551.png)
1653987086.png)
1582095229.jpg)
