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Recent questions tagged sequences&series
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CAT 2014 | Question: 50
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th ... arithmetic progression with a common difference of $30$. What is the sum of series $S_{2}$? $10$ $20$ $30$ $40$
Anjana5051
asked
in
Quantitative Aptitude
Jul 16
by
Anjana5051
10.3k
points
20
views
cat2014
quantitative-aptitude
sequences&series
0
votes
0
answers
2
CAT 2014 | Question: 49
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th term ... $30$. What is the average value of the terms of series $S_{1}$? $60$ $70$ $80$ Average is not an integer
Anjana5051
asked
in
Quantitative Aptitude
Jul 16
by
Anjana5051
10.3k
points
15
views
cat2014
quantitative-aptitude
sequences&series
0
votes
0
answers
3
CAT 2014 | Question: 48
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th ... common difference of $30$. What is the difference between second and fourth terms of $S_{1}$? $10$ $20$ $30$ $60$
Anjana5051
asked
in
Quantitative Aptitude
Jul 16
by
Anjana5051
10.3k
points
19
views
cat2014
quantitative-aptitude
sequences&series
1
vote
1
answer
4
CAT 2021 Set-3 | Quantitative Aptitude | Question: 1
Consider a sequence of real numbers $x_{1}, x_{2}, x_{3}, \dots $ such that $x_{n+1} = x_{n} + n – 1$ for all $n \geq 1.$ If $x_{1} = -1$ then $x_{100}$ is equal to $4950$ $4850$ $4849$ $4949$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
116
views
cat2021-set3
quantitative-aptitude
sequences&series
1
vote
1
answer
5
CAT 2021 Set-2 | Quantitative Aptitude | Question: 5
For a sequence of real numbers $x_{1}, x_{2}, \dots , x_{n},$ if $x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n$ for all natural numbers $n,$ then the sum $x_{49} + x_{50}$ equals $2$ $-2$ $200$ $-200$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
114
views
cat2021-set2
quantitative-aptitude
sequences&series
1
vote
1
answer
6
CAT 2021 Set-1 | Quantitative Aptitude | Question: 14
If $x_{0} = 1, x_{1} = 2$ and $x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots ,$ then $x_{2021}$ is equal to $1$ $3$ $4$ $2$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
107
views
cat2021-set1
quantitative-aptitude
sequences&series
0
votes
1
answer
7
NIELIT 2019 Feb Scientist D - Section D: 13
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
282
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
8
NIELIT 2019 Feb Scientist D - Section D: 12
The value of the following expression : $\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{1}{20^{2}-1} \right ]$ is : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
259
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
9
NIELIT 2019 Feb Scientist D - Section D: 16
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
261
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
10
NIELIT 2019 Feb Scientist D - Section C: 9
The greatest number of four digits which is divisible by each one of the numbers $12$, $18$, $21$ & $28$, is : $9848$ $9864$ $9828$ $9636$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
336
views
nielit2019feb-scientistd
sequences&series
1
vote
1
answer
11
NIELIT 2019 Feb Scientist D - Section C: 29
Of the three numbers, the sum of the first two is $45$; the sum of the second and third is $55$ and the sum of the third and thrice the first is $90$. The third number is : $20$ $25$ $30$ $35$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
274
views
nielit2019feb-scientistd
sequences&series
1
vote
0
answers
12
NIELIT 2019 Feb Scientist D - Section A: 6
Study the following information carefully to answer the questions given below: A number sorting machine when given an input of numbers, rearranges the numbers in a particular manner step by step as indicated below till all the numbers are arranged in a particular order. Given below ... $\text{17 24 47 62 92 86 42 79}$ $\text{17 47 62 86 24 42 79 92}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
256
views
nielit2019feb-scientistd
number-series
sequences&series
1
vote
0
answers
13
NIELIT 2019 Feb Scientist D - Section A: 7
Study the following information carefully to answer the questions given below: A number sorting machine when given an input of numbers, rearranges the numbers in a particular manner step by step as indicated below till all the numbers are arranged in a particular order. ... $\text{17 32 82 69 93 43 49 56 99 106}$ Cannot be determined
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
295
views
nielit2019feb-scientistd
number-series
sequences&series
1
vote
2
answers
14
NIELIT 2019 Feb Scientist D - Section A: 8
Which of the following will be the middle digit of the middle number after reversing the digits of the following numbers ? $\text{389 675 493 728 536}$ $3$ $2$ $8$ $9$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
456
views
nielit2019feb-scientistd
number-series
sequences&series
1
vote
1
answer
15
NIELIT 2019 Feb Scientist D - Section A: 21
Which of the following does not fit in the letter number series given below? $G$ $4$ $T$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $S$ $90$ $L$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $G$ $4$ $T$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
388
views
nielit2019feb-scientistd
alphanumeric-series
sequences&series
0
votes
1
answer
16
NIELIT 2019 Feb Scientist C - Section D: 5
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is: $\dfrac{1}{5}\\$ $\dfrac{2}{5} \\$ $\dfrac{3}{5} \\$ $1$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
327
views
nielit2019feb-scientistc
quantitative-aptitude
sequences&series
0
votes
0
answers
17
NIELIT 2019 Feb Scientist C - Section D: 14
The sum of the squares of the fifth and the eleventh term of an AP is $3$ and the product of the second and fourteenth term is equal to $x$. Find the product of the first and fifteenth term of an AP. $\dfrac{(58x-39)}{45} \\$ $\dfrac{(98x-39)}{72} \\$ $\dfrac{(116x-39)}{90} \\$ $\dfrac{(98x-39)}{90}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
186
views
nielit2019feb-scientistc
quantitative-aptitude
sequences&series
0
votes
0
answers
18
NIELIT 2019 Feb Scientist C - Section D: 22
If $S_1,S_2,S_3,\dots\dots,S_m$ are the sum of first $n$ terms of $m$ arithmetic progressions, whose first terms are $1,4,9,16,\dots,m^{2}$ and common differences are $1,2,3,4,\dots m$ respectively, then the value of $S_1+S_2+S_3+\dots \dots +S_m$ ... $\dfrac{mn(2m+1)}{3} \\$ $\dfrac{mn[3(m+1)+1]}{6} \\$ $\dfrac{mn(m+1)(4m+3n-1)}{12}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
232
views
nielit2019feb-scientistc
quantitative-aptitude
sequences&series
1
vote
1
answer
19
NIELIT 2019 Feb Scientist C - Section A: 2
Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below. Series I : N P Q * 5 4 B Z \ ... together with the number of letters in Series II which are immediately preceded by a symbol and immediately followed by a letter? $5$ $4$ $1$ $3$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
811
views
nielit2019feb-scientistc
sequences&series
0
votes
1
answer
20
NIELIT 2019 Feb Scientist C - Section A: 1
Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below. $\textbf{Series I :}$ N P Q * 5 4 B Z \$ # 3 7 D 9 A ? F 8 G H 1 + D K 6 $ ... are counted separately, which of the following is lowest in count? Symbols in series I Letters in series I Digits in series II Symbols in series II
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
544
views
nielit2019feb-scientistc
sequences&series
1
vote
2
answers
21
NIELIT 2019 Feb Scientist C - Section A: 3
Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below. $\textbf{Series I :}$ N P Q * 5 4 B Z \$ # 3 7 D 9 A ? F 8 G H 1 + D K 6 $ ... elements will indicate $16$- th element from the left and the $8$^th element to its left respectively? $A,Q$ $3,Q$ $3,Z$ $A,Z$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
455
views
nielit2019feb-scientistc
sequences&series
1
vote
1
answer
22
NIELIT 2019 Feb Scientist C - Section A: 5
How many $9$’s are there in the following number sequence which are immediately preceded by $3$ but not immediately followed by $4$? $\text{2 3 9 5 1 3 9 6 7 3 9 4 8 9 3 4 9 3 2 3 9 8 3 9 3}$ $3$ $2$ $1$ $4$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
488
views
nielit2019feb-scientistc
number-series
sequences&series
1
vote
1
answer
23
NIELIT 2019 Feb Scientist C - Section A: 23
In a certain code $\text{UPGRADE}$ is written as $\text{WNIPCBG}$. How is $\text{DROWN}$ written in that code? $\text{BTMYL}$ $\text{BPMYL}$ $\text{BTQYL}$ $\text{FPQUP}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
591
views
nielit2019feb-scientistc
sequences&series
1
vote
2
answers
24
NIELIT 2019 Feb Scientist C - Section A: 29
In a certain $\text{STABILISE}$ is written as $\text{UVCDKNKUG.}$ How is $\text{ORGANISE}$ written in that code? $\text{QTICPKUG}$ $\text{QTICPKUH}$ $\text{QTIBPKUG}$ $\text{QTICPKUJ}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
454
views
nielit2019feb-scientistc
sequences&series
1
vote
1
answer
25
NIELIT 2019 Feb Scientist C - Section A: 30
Shoes is related to Shining in the same way as Pant is related to$\dots$? Stitching Wearing Keeping Buying
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
753
views
nielit2019feb-scientistc
sequences&series
1
vote
2
answers
26
NIELIT 2017 OCT Scientific Assistant A - Section A: 8
Find the missing term: $60,40,55,45,50,50,?$ $45$ $50$ $55$ $60$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
534
views
nielit2017oct-assistanta
logical-reasoning
sequences&series
1
vote
1
answer
27
NIELIT 2017 OCT Scientific Assistant A - Section A: 12
If the consonants in the word ‘DROVE’ are first arranged alphabetically and the vowels are put in between two pairs of consonants in the alphabetical order, which of the following will be the fourth from the right end after the rearrangement? $D$ $E$ $R$ $O$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
2.9k
views
nielit2017oct-assistanta
logical-reasoning
sequences&series
1
vote
1
answer
28
NIELIT 2017 OCT Scientific Assistant A - Section A: 9
Find the missing alphabet: $T,r,O,m,J,?$ $h$ $i$ $I$ $g$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
364
views
nielit2017oct-assistanta
logical-reasoning
sequences&series
1
vote
2
answers
29
NIELIT 2017 DEC Scientific Assistant A - Section A: 57
In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives. $\text{C,F,J,O,?,B}$ $\text{S}$ $\text{T}$ $\text{U}$ $\text{V}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
477
views
nielit2017dec-assistanta
logical-reasoning
sequences&series
1
vote
3
answers
30
NIELIT 2017 DEC Scientific Assistant A - Section A: 59
In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives. $\text{ABP, CDQ, EFR, }(\dots?\dots)$ $\text{GHS}$ $\text{GHT}$ $\text{HGS}$ $\text{GHR}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
660
views
nielit2017dec-assistanta
logical-reasoning
sequences&series
1
vote
3
answers
31
NIELIT 2017 DEC Scientific Assistant A - Section A: 58
In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives. DF, GJ, KM, NQ, RT, ? UW YZ XZ UX
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
642
views
nielit2017dec-assistanta
logical-reasoning
sequences&series
1
vote
2
answers
32
NIELIT 2017 DEC Scientific Assistant A - Section A: 56
In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives. $\text{T,r,O,m,J,?}$ $\text{h}$ $\text{i}$ $\text{I}$ $\text{g}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
634
views
nielit2017dec-assistanta
logical-reasoning
sequences&series
2
votes
3
answers
33
NIELIT 2017 DEC Scientific Assistant A - Section A: 60
In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives. $\text{C,G,L,R,?}$ $\text{Y}$ $\text{S}$ $\text{U}$ $\text{Z}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
659
views
nielit2017dec-assistanta
logical-reasoning
sequences&series
1
vote
1
answer
34
NIELIT 2016 MAR Scientist B - Section A: 7
Have a look at the series: $26,24,20,18,14,\dots$ What number should come next? $10$ $12$ $13$ $16$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
1.1k
views
nielit2016mar-scientistb
sequences&series
1
vote
1
answer
35
NIELIT 2016 MAR Scientist B - Section A: 6
Have a look at the series: $4,7,5,8,6,9,\dots\dots,\dots$ What number should come next? $7$ $9$ $10$ $13$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
264
views
nielit2016mar-scientistb
sequences&series
1
vote
1
answer
36
NIELIT 2016 MAR Scientist B - Section A: 5
Find the wrong number in the sequence $125,127,130,135,142,153,165$ $130$ $142$ $153$ $165$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
402
views
nielit2016mar-scientistb
sequences&series
1
vote
1
answer
37
NIELIT 2016 MAR Scientist B - Section A: 11
Have a look at the series : $2,1,(1/2),(1/4),\dots$ What number should come next? $(1/3)$ $(1/8)$ $(2/8)$ $(1/16)$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
300
views
nielit2016mar-scientistb
sequences&series
1
vote
1
answer
38
NIELIT 2016 DEC Scientist B - Section A: 22
In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative. $\text{abca _ bcaab _ aa _ caa _ c}$ $\text{bbac}$ $\text{bbaa}$ $\text{acbb}$ $\text{acac}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
277
views
nielit2016dec-scientistb
sequences&series
1
vote
1
answer
39
NIELIT 2016 DEC Scientist B - Section A: 21
In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative. $\text{aaa_bb_ aab_baaa_bb}$ $\text{abab}$ $\text{bbaa}$ $\text{babb}$ $\text{baab}$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
392
views
nielit2016dec-scientistb
sequences&series
1
vote
1
answer
40
NIELIT 2016 DEC Scientist B - Section A: 24
In the following questions, one term in the number series is wrong. Find out the wrong term. $52,51, 48, 43, 34, 27, 16$ $51$ $48$ $34$ $43$
Lakshman Patel RJIT
asked
in
Logical Reasoning
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
345
views
nielit2016dec-scientistb
sequences&series
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