Register

Recent questions tagged arithmetic-progression

1 votes
1 answer
1
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 $12$ $8$ $14$ $10$
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$$10$
1 votes
1 answer
2
CAT 2019 Set-2 | Question: 96
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$ _______
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$ _______
1 votes
1 answer
3
CAT 2019 Set-2 | Question: 99
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is $18$ $19$ $21$ $20$
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is$18$$19$$21$$20$
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 $80707$ $80773$ $80730$ $80751$
The value of the sum $7 \times 11 + 11 \times 15 + 15 \times 19 + \dots$ + $95 \times 99$ is$80707$$80773$$80730$$80751$
2 votes
1 answer
6
CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ratio of the geometric progression is $3/6$ $3/2$ $5/2$ $1/6$
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ...
1 votes
1 answer
9
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive integer $m$ such that $m(a_{1}+ a_{2}+ \ldots + a_{n})>1830$? $8$ $9$ $10$ $11$
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive...
1 votes
2 answers
12
CAT 2015 | Question: 86
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression? $7$ $64$ $56$ Cannot be determined
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?$7$$64$$56$Cannot be determined
0 votes
1 answer
13
CAT 2015 | Question: 94
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and end with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ a...
0 votes
0 answers
15
CAT 2003 | Question: 1-140
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to $5$ $4$ $2$ $3$
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to$5$$4$$2$$3$
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
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 elemen...
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
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
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? $3$ $4$ $6$ $7$ $8$
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 $1000$...
To see more, click for the full list of questions or popular tags.