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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, 2022

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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, 2022

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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, 2022

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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, 2022

by soujanyareddy13

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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, 2022

by soujanyareddy13

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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, 2022

by soujanyareddy13

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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 Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

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515 views

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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 Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

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499 views

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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 Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

13.6k points

647 views

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 Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

13.6k points

545 views

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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 Bhaiya asked in Logical Reasoning Apr 3, 2020

by Lakshman Bhaiya

13.6k points

436 views

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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 Bhaiya asked in Logical Reasoning Apr 3, 2020

by Lakshman Bhaiya

13.6k points

508 views

1 vote

3 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 Bhaiya asked in Logical Reasoning Apr 3, 2020

by Lakshman Bhaiya

13.6k points

1.0k views

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2 answers

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 Bhaiya asked in Logical Reasoning Apr 3, 2020

by Lakshman Bhaiya

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830 views

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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 Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

13.6k points

684 views

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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 Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

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388 views

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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 Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

13.6k points

465 views

1 vote

2 answers

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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

1.1k views

1 vote

3 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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

925 views

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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

881 views

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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

1.1k views

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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

936 views

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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

13.6k points

917 views

1 vote

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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 Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

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28

NIELIT 2017 OCT Scientific Assistant A - Section A: 9
Find the missing alphabet: $T,r,O,m,J,?$ $h$ $i$ $I$ $g$

Lakshman Bhaiya asked in Logical Reasoning Apr 1, 2020

by Lakshman Bhaiya

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630 views

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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969 views

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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

13.6k points

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

13.6k points

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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742 views

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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560 views

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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590 views

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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666 views

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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 Bhaiya asked in Logical Reasoning Mar 31, 2020

by Lakshman Bhaiya

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667 views

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Recent questions tagged sequences&series