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Recent questions tagged arithmetic-progression
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 10
Three positive integers $x,y$ and $z$ are in arithmetic progression. If $y – x > 2$ and $xyz = 5(x+y+z),$ then $z-x$ equals $12$ $8$ $14$ $10$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
115
views
cat2021-set2
quantitative-aptitude
arithmetic-progression
1
vote
1
answer
2
CAT 2019 Set-2 | Question: 96
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$ _______
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
241
views
cat2019-2
quantitative-aptitude
arithmetic-progression
numerical-answer
1
vote
1
answer
3
CAT 2019 Set-2 | Question: 99
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is $18$ $19$ $21$ $20$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
281
views
cat2019-2
quantitative-aptitude
arithmetic-progression
3
votes
1
answer
4
CAT 2018 Set-2 | Question: 67
The value of the sum $7 \times 11 + 11 \times 15 + 15 \times 19 + \dots$ + $95 \times 99$ is $80707$ $80773$ $80730$ $80751$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
255
views
cat2018-2
quantitative-aptitude
arithmetic-progression
2
votes
1
answer
5
CAT 2018 Set-2 | Question: 87
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a_{2},a_{3},\dots , a_{52}$. If $a_{52}=100$ , then the largest possible value of $a_{1}$ is ________ $20$ $23$ $48$ $45$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
256
views
cat2018-2
quantitative-aptitude
arithmetic-progression
arithmetic-mean
2
votes
1
answer
6
CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ratio of the geometric progression is $3/6$ $3/2$ $5/2$ $1/6$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
195
views
cat2018-1
quantitative-aptitude
arithmetic-progression
geometric-progression
1
vote
1
answer
7
CAT 2017 Set-2 | Question: 92
If $\log\left ( 2^{a} \times 3^{b}\times 5^{c}\right )$ is the arithmetic mean of $\log\left ( 2^{2} \times 3^{3}\times 5 \right ),$ $\log\left ( 2^{6} \times3\times 5^{7} \right ),$ and $\log\left ( 2 \times3^{2}\times 5^{4} \right ),$ then $a$ equals $2$ None of these $6$ $7$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
181
views
cat2017-2
quantitative-aptitude
arithmetic-progression
arithmetic-mean
1
vote
1
answer
8
CAT 2017 Set-1 | Question: 97
If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the products of the $3^{\text{rd}}$ and $17^{\text{th}}$ terms, then the ratio of the first term to the common difference is $2:3$ $3:2$ $3:4$ $4:3$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
193
views
cat2017-1
quantitative-aptitude
arithmetic-progression
1
vote
1
answer
9
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive integer $m$ such that $m(a_{1}+ a_{2}+ \ldots + a_{n})>1830$? $8$ $9$ $10$ $11$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
216
views
cat2017-1
quantitative-aptitude
arithmetic-progression
0
votes
0
answers
10
CAT 2016 | Question: 94
A series $\text{S1}$ 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 $\text{S2},$ the nth term defined as the difference between the $(n+1)$ ... progression with a common difference of $30$. Second term of $\text{S2}$ is $50$ $60$ $70$ $\text{None of these}$
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
300
views
cat2016
quantitative-aptitude
arithmetic-progression
0
votes
0
answers
11
CAT 2016 | Question: 95
A series $\text{S1}$ 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 $\text{S2}$, the $n$th term defined as the difference between the $(n+1)$ ... difference of $30$. What is the average value of the terms of series $\text{S1}$? $60$ $70$ $80$ Average is not an integer
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
182
views
cat2016
quantitative-aptitude
arithmetic-progression
1
vote
1
answer
12
CAT 2015 | Question: 86
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression? $7$ $64$ $56$ Cannot be determined
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
218
views
cat2015
quantitative-aptitude
arithmetic-progression
0
votes
1
answer
13
CAT 2015 | Question: 94
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and end with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
140
views
cat2015
quantitative-aptitude
arithmetic-progression
2
votes
1
answer
14
CAT 2019 Set-1 | Question: 75
If $a_{1},a_{2}\dots$ are in A.P., then, $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\dots+\frac{1}{\sqrt{a_{n}}+\sqrt{a_{n+1}}}$ is equal to $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n-1}}}$ $\frac{n}{\sqrt{a_{1}}+\sqrt{a_{n+1}}}$ $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n}}}$ $\frac{n}{\sqrt{a_{1}}-\sqrt{a_{n+1}}}$
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
306
views
cat2019-1
quantitative-aptitude
arithmetic-progression
0
votes
0
answers
15
CAT 2003 | Question: 1-140
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to $5$ $4$ $2$ $3$
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.4k
points
345
views
cat2003-1
quantitative-aptitude
logarithms
arithmetic-progression
0
votes
2
answers
16
CAT 2003 | Question: 1-110
The sum of $3$-rd and $15$-th elements of an arithmetic progression is equal to the sum of $6$-th, $11$-th and $13$-th elements of the same progression. Then which element of the series should necessarily be equal to zero? $1$-st $9$-th $12$-th None of these
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
436
views
cat2003-1
quantitative-aptitude
arithmetic-progression
0
votes
2
answers
17
CAT 2004 | Question: 43
If the sum of first $11$ terms of an arithmetic progression equals that of a first $19$ terms, then what is the sum of the first $30$ terms? $0$ $-1$ $1$ Not unique
go_editor
asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
337
views
cat2004
quantitative-aptitude
arithmetic-progression
0
votes
0
answers
18
CAT 2006 | Question: 62
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$ $8$
go_editor
asked
in
Quantitative Aptitude
Dec 28, 2015
by
go_editor
13.4k
points
142
views
cat2006
quantitative-aptitude
arithmetic-progression
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