Quantitative Aptitude - Sequence and Series
Exam Duration: 45 Mins Total Questions : 30
Find the 7th term of the A.P 8, 5, 2, -1, -4, ...
- (a)
-13
- (b)
-10
- (c)
-7
- (d)
-16
The nth element of the sequence 1,3,5,7, .... is
- (a)
n
- (b)
2n-1
- (c)
2n +1
- (d)
None of these
Which term of the progression -1, -3, -5, .... is -39?
- (a)
21st
- (b)
20th
- (c)
19th
- (d)
None of these
If the 10th term of an A.P. is twice the 4th term, and the 23rd term is 'k' times the 8th term, then the value of 'k' is
- (a)
2.5
- (b)
3
- (c)
3.5
- (d)
4
If the AM of two numbers is 6 and GM is 6 then find the numbers.
- (a)
6,6
- (b)
10, 8
- (c)
10, 6
- (d)
9, 2
Between the two numbers whose sum is \(\frac{13}{6}\), an even number of A.M is inserted. If the sum of arithmetic mean exceeds their number by unity, then number of arithmetic means inserted are -
- (a)
6
- (b)
10
- (c)
8
- (d)
12
The sum of the series 1+2+4+8+ .... to 10 term is
- (a)
1024
- (b)
1023
- (c)
1025
- (d)
None of these
The number of terms in the series 1 + 3 +5 +7 +.... + 61 is-
- (a)
30
- (b)
28
- (c)
31
- (d)
29
The sum of certain numbers of terms of an AP series -6, -3, 0_____is 225. The number of terms is
- (a)
16
- (b)
15
- (c)
14
- (d)
13
The sum of n terms of two APs are in the ratio of \(\frac{7n-5}{5n+17}.\)Then the _____ term of the two a series are equal
- (a)
12
- (b)
6
- (c)
3
- (d)
None
If m, p, q are consecutive terms in an A.P. then p is -
- (a)
\(\frac{mq}{2}\)
- (b)
\(\frac{(m-q)}{2}\)
- (c)
2(m2+q2)
- (d)
\(\frac{(m+q)}{2}\)
The five numbers in AP with their sum 25 and the sum of their squares 135 are
- (a)
3, 4, 5, 6, 7
- (b)
3, 3.5, 4, 4.5, 5
- (c)
-3, -4, -5, -6, -7
- (d)
-2, -3.5, -4, -4.5, -5
The four numbers in AP with the sum of second and third being 22 and the product of the first and fourth being 85 are
- (a)
3, 5, 7, 9
- (b)
2, 4, 6, 8
- (c)
5, 9, 13, 17
- (d)
None
In a certain arithmetic sequence, if the 24th term is twice the 10th term, then 72nd term is twice the
- (a)
30th term
- (b)
40th term
- (c)
34th term
- (d)
38th term
A person employed in a company at Rs 3000 per month and he would get an increase of Rs 100 per year. Find the total amount which he receives in 25 years and the monthly salary in the last year.
- (a)
1380000 and 6200
- (b)
930000 and 5400
- (c)
1480000 and 7200
- (d)
1570000 and 4800
Water flows into a tank. The volume of water in the tank at each minute form an A.P. If the initial volume was 5 litres and becomes 6 times after 6 minutes. The speed of water increase is
- (a)
5 Itr./min
- (b)
6 Itr./min
- (c)
15 Itr./min
- (d)
2 Itr./min
The number of terms in 6,18,54,_________1458 is
- (a)
5
- (b)
7
- (c)
8
- (d)
6
Which term of the progression 1,2,4, 8_______is 64.
- (a)
7
- (b)
5
- (c)
6
- (d)
9
The G.M between 2 and 8 is-
- (a)
4
- (b)
10
- (c)
6
- (d)
8
The A.M and G.M of two positive numbers is 10. The numbers are
- (a)
(10, 10)
- (b)
(15, 5)
- (c)
(5, 15)
- (d)
(20, 0)
If x, y, z are in GP., then
- (a)
x(y2+z2)=z(x2+y2)
- (b)
y(z2+x2)=x(z2+y2)
- (c)
z(x2+y2)=y(z2+x2)
- (d)
None of these
If (b+c)-1,(c+a)-1,(a+b)-1are in AP the a2 ,b2 ,c2 are in
- (a)
AP
- (b)
GP
- (c)
HP
- (d)
None
The sum of n terms of 1.4 + 3.7 + 5.10 + ................ is
- (a)
\(\left( \frac { n }{ 4 } \right) \)(4n2 + 5n - 1)
- (b)
n(4n2 + 5n - 1)
- (c)
\(\left( \frac { n }{ 6 } \right) \)(4n2 - 5n - 1)
- (d)
none
The sum of four numbers in GP is 60 and the AM of the 1st and the last is 18. The numbers are
- (a)
4, 8, 16, 32
- (b)
4, 16, 8, 32
- (c)
16, 8, 4, 20
- (d)
None of these
The sum of 1.03+(1.03)2 +(1.03)3+ ... to n terms is
- (a)
103{(1.03)n-1}
- (b)
\(\frac { 103 }{ 3 } \){(1.03)n-1}
- (c)
(1.03)n-1
- (d)
None of these
109.The sum of n terms of the series 1.03+ 1.032+1.033 +....... is
- (a)
\(\left( \frac { 103 }{ 3 } \right) \left( 1.03^{ n }-1 \right) \)
- (b)
\(\left( \frac { 103 }{ 3 } \right) \left( 1.03^{ n }+1 \right) \)
- (c)
\(\left( \frac { 103 }{ 3 } \right) \left( 1.03^{ n+1 }-1 \right) \)
- (d)
None
The sum of the series \(1,\frac { 1 }{ 3 } ,\frac { 1 }{ { 3 }^{ 2 } } ,\frac { 1 }{ { 3 }^{ 3 } },...\) to ∞ is
- (a)
\(\frac { 4 }{ 3 } \)
- (b)
\(\frac { 3 }{ 2 } \)
- (c)
\(\frac { 1 }{ 3 } \)
- (d)
None of these
The sum of the infinite GP 0.171-0.114+0.076 is
- (a)
0.1226
- (b)
0.1020
- (c)
0.1026
- (d)
None of these
The sum of n terms of the series \(\frac { 1 }{ 1 } +\frac { 1 }{ (1+2) } +\frac { 1 }{ (1+2+3) } +.....\quad is\)
- (a)
2n(n+1)-1
- (b)
n(n+1)-1
- (c)
2n(n-1)-1
- (d)
None
The sum of n terms of the series 1+(1+3)+(1+3+5)+..... is
- (a)
\(\left( \frac { n }{ 6 } \right) (n+1)(2n+1)\)
- (b)
\(\left( \frac { n }{ 6 } \right) (n+1)(n+2)\)
- (c)
\(\left( \frac { n }{ 3 } \right) (n+1)(2n+1)\)
- (d)
None
