General Aptitude - Progression
Exam Duration: 45 Mins Total Questions : 30
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
The sum of four terms in an AP is 64. The product of the extreme terms is 220. Find the first and fourth term.
- (a)
14,28
- (b)
10,22
- (c)
28,14
- (d)
6,30
Find the sum of all odd numbers between 200 and 300
- (a)
10000
- (b)
12000
- (c)
12500
- (d)
10100
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
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
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
The first three terms of a GP are 2x,3x+8 and 5x+24. Find the eighth term of the progression if x>0.
- (a)
2048
- (b)
1024
- (c)
512
- (d)
256
Which term of the GP \(\sqrt { 3 } ,\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ 3\sqrt { 3 } } ,.....is\quad \frac { 1 }{ 243\sqrt { 3 } } \)
- (a)
5th
- (b)
7th
- (c)
8th
- (d)
6th
How many terms of a GP 1,416, ...... must be taken to have their sum equal to 341?
- (a)
5
- (b)
6
- (c)
7
- (d)
8
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)
-\(\frac { 7 }{ 2 } \)
If the Arithmetic Mean (AM) and Geometric Mean (GM) of two numbers are 13 and 12 respectively, find the numbers.
- (a)
16,9
- (b)
12,12
- (c)
8,18
- (d)
36,4
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 mth term of an arithmetic progression eries is n and the nth term is m. The rth term of the series would be
- (a)
\(\frac { m+n+r }{ 2 } \)
- (b)
\(\frac { m+n-r }{ 2 } \)
- (c)
\(m+n-r\)
- (d)
\(n+m-2r\)
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
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
\({ 16 }^{ 1/3 }\times { 16 }^{ 1/9 }\times { 16 }^{ 1/27 }\times ...\infty \quad is\quad equal\quad to\)
- (a)
1
- (b)
4
- (c)
6
- (d)
16