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Recent questions tagged sequences&series

1 vote
1 answer
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 $4950$ $4850$ $4849$ $4949$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 65 views
1 vote
1 answer
2
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 $2$ $-2$ $200$ $-200$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 68 views
1 vote
1 answer
3
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 $1$ $3$ $4$ $2$
asked Jan 19 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 74 views
0 votes
1 answer
4
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 226 views
0 votes
1 answer
5
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 : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 242 views
0 votes
1 answer
6
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 223 views
0 votes
1 answer
7
The greatest number of four digits which is divisible by each one of the numbers $12$, $18$, $21$ & $28$, is : $9848$ $9864$ $9828$ $9636$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 284 views
1 vote
1 answer
8
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 : $20$ $25$ $30$ $35$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 242 views
1 vote
0 answers
9
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 is an illustration of this ... $\text{17 24 47 62 92 86 42 79}$ $\text{17 47 62 86 24 42 79 92}$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 215 views
1 vote
0 answers
10
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 is an illustration of ... $\text{17 32 82 69 93 43 49 56 99 106}$ Cannot be determined
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 221 views
1 vote
2 answers
11
Which of the following will be the middle digit of the middle number after reversing the digits of the following numbers ? $\text{389 675 493 728 536}$ $3$ $2$ $8$ $9$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 395 views
1 vote
1 answer
12
Which of the following does not fit in the letter number series given below? $G$ $4$ $T$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $S$ $90$ $L$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $G$ $4$ $T$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 335 views
0 votes
1 answer
13
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is: $\dfrac{1}{5}\\$ $\dfrac{2}{5} \\$ $\dfrac{3}{5} \\$ $1$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 290 views
0 votes
0 answers
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. $\dfrac{(58x-39)}{45} \\$ $\dfrac{(98x-39)}{72} \\$ $\dfrac{(116x-39)}{90} \\$ $\dfrac{(98x-39)}{90}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 144 views
0 votes
0 answers
15
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 $S_1+S_2+S_3+\dots \dots +S_m$ is : $\dfrac{mn(m+1)}{2} \\$ $\dfrac{mn(2m+1)}{3} \\$ $\dfrac{mn[3(m+1)+1]}{6} \\$ $\dfrac{mn(m+1)(4m+3n-1)}{12}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 118 744 833 179 views
0 votes
1 answer
16
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 $ ... symbols from each series 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
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 424 views
1 vote
1 answer
17
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 $ ... preceded by a letter together with the number of letters in Series II which are immediately preceded by a symbol and immediately followed by a letter? $5$ $4$ $1$ $3$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 622 views
1 vote
2 answers
18
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 $ ... of the following pairs of elements will indicate $16$- th element from the left and the $8$^th element to its left respectively? $A,Q$ $3,Q$ $3,Z$ $A,Z$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 403 views
1 vote
1 answer
19
How many $9$’s are there in the following number sequence which are immediately preceded by $3$ but not immediately followed by $4$? $\text{2 3 9 5 1 3 9 6 7 3 9 4 8 9 3 4 9 3 2 3 9 8 3 9 3}$ $3$ $2$ $1$ $4$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 429 views
1 vote
1 answer
20
In a certain code $\text{UPGRADE}$ is written as $\text{WNIPCBG}$. How is $\text{DROWN}$ written in that code? $\text{BTMYL}$ $\text{BPMYL}$ $\text{BTQYL}$ $\text{FPQUP}$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 525 views
1 vote
2 answers
21
In a certain $\text{STABILISE}$ is written as $\text{UVCDKNKUG.}$ How is $\text{ORGANISE}$ written in that code? $\text{QTICPKUG}$ $\text{QTICPKUH}$ $\text{QTIBPKUG}$ $\text{QTICPKUJ}$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 371 views
1 vote
1 answer
22
Shoes is related to Shining in the same way as Pant is related to$\dots$? Stitching Wearing Keeping Buying
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 632 views
1 vote
2 answers
23
1 vote
1 answer
24
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? $D$ $E$ $R$ $O$
asked Apr 1, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 689 views
1 vote
1 answer
25
1 vote
2 answers
26
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. $\text{C,F,J,O,?,B}$ $\text{S}$ $\text{T}$ $\text{U}$ $\text{V}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 434 views
1 vote
3 answers
27
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. $\text{ABP, CDQ, EFR, }(\dots?\dots)$ $\text{GHS}$ $\text{GHT}$ $\text{HGS}$ $\text{GHR}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 575 views
1 vote
3 answers
28
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
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 553 views
1 vote
2 answers
29
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. $\text{T,r,O,m,J,?}$ $\text{h}$ $\text{i}$ $\text{I}$ $\text{g}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 567 views
2 votes
3 answers
30
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. $\text{C,G,L,R,?}$ $\text{Y}$ $\text{S}$ $\text{U}$ $\text{Z}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 588 views
1 vote
1 answer
31
Have a look at the series: $26,24,20,18,14,\dots$ What number should come next? $10$ $12$ $13$ $16$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 866 views
1 vote
1 answer
32
Have a look at the series: $4,7,5,8,6,9,\dots\dots,\dots$ What number should come next? $7$ $9$ $10$ $13$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 240 views
1 vote
1 answer
33
Find the wrong number in the sequence $125,127,130,135,142,153,165$ $130$ $142$ $153$ $165$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 344 views
1 vote
1 answer
34
Have a look at the series : $2,1,(1/2),(1/4),\dots$ What number should come next? $(1/3)$ $(1/8)$ $(2/8)$ $(1/16)$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 261 views
1 vote
1 answer
35
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. $\text{abca _ bcaab _ aa _ caa _ c}$ $\text{bbac}$ $\text{bbaa}$ $\text{acbb}$ $\text{acac}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 246 views
1 vote
1 answer
36
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. $\text{aaa_bb_ aab_baaa_bb}$ $\text{abab}$ $\text{bbaa}$ $\text{babb}$ $\text{baab}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 356 views
1 vote
1 answer
37
In the following questions, one term in the number series is wrong. Find out the wrong term. $52,51, 48, 43, 34, 27, 16$ $51$ $48$ $34$ $43$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 297 views
1 vote
1 answer
38
In the following question, one term in the number series is wrong. Find out the wrong term. $125, 126, 124, 127, 123, 129$ $123$ $124$ $126$ $129$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 189 views
1 vote
3 answers
39
In the following question, find out the correct answer from the given alternatives. If $\text{TABLE}$ is coded as $\text{GZYOV}$, how is $\text{JUICE}$ coded? $\text{OZLFJ}$ $\text{QFRXV}$ $\text{HOFAD}$ $\text{QZHMT}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 352 views
1 vote
2 answers
40
In the following question, find out the correct answer from the given alternatives. If in a certain language $\text{MECHANICS}$ is coded as $\text{HCEMASCIN}$, how is $\text{POSTER}$ coded in that code? $\text{OPTSRE}$ $\text{SOPRET}$ $\text{RETSOP}$ $\text{TERPOS}$
asked Mar 31, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 118 744 833 306 views
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