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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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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, 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

10.6k points

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1 vote

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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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225 views

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, 2022

by soujanyareddy13

2.7k points

220 views

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, 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 Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Patel RJIT

12.8k points

367 views

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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

12.8k points

384 views

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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

12.8k points

405 views

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2 answers

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

12.8k points

490 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 Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Patel RJIT

12.8k points

403 views

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

12.8k points

356 views

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

12.8k points

398 views

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

12.8k points

721 views

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

12.8k points

575 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 Patel RJIT asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Patel RJIT

12.8k points

496 views

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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

12.8k points

310 views

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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

12.8k points

368 views

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

12.8k points

1.1k views

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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

12.8k points

808 views

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

12.8k points

660 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 Patel RJIT asked in Logical Reasoning Apr 1, 2020

by Lakshman Patel RJIT

12.8k points

666 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 Patel RJIT asked in Logical Reasoning Apr 1, 2020

by Lakshman Patel RJIT

12.8k points

847 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 Patel RJIT asked in Logical Reasoning Apr 1, 2020

by Lakshman Patel RJIT

12.8k points

668 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 Patel RJIT asked in Logical Reasoning Apr 1, 2020

by Lakshman Patel RJIT

12.8k points

1.2k views

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

12.8k points

666 views

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

12.8k points

3.1k views

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

12.8k points

464 views

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

12.8k points

664 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 Patel RJIT asked in Logical Reasoning Mar 31, 2020

by Lakshman Patel RJIT

12.8k points

861 views

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

12.8k points

859 views

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

12.8k points

809 views

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

12.8k points

838 views

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

12.8k points

1.3k views

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

12.8k points

366 views

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

12.8k points

506 views

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

12.8k points

405 views

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

12.8k points

398 views

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

12.8k points

502 views

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

12.8k points

485 views

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