Register

Recent questions tagged arithmetic-progression

1 1 vote
0 0 answers
1.4k
1.4k views
CAT 2023 Set-2 | Quantitative Aptitude | Question: 20
Let both the series $a_{1}, a_{2}, a_{3}, \ldots$ and $b_{1}, b_{2}, b_{3} \ldots$ be in arithmetic progression such that the common differences of both the series are pr...
1 1 vote
1 1 answer
1.8k
1.8k views
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$$10$
1 1 vote
1 1 answer
1.9k
1.9k views
CAT 2019 Set-2 | Question: 96
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$ _______
1 1 vote
1 1 answer
2.0k
2.0k views
CAT 2019 Set-2 | Question: 99
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is$18$$19$$21$$20$
3 3 votes
1 1 answer
2.1k
2.1k views
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$$80751$
2 2 votes
1 1 answer
2.1k
2.1k views
CAT 2018 Set-2 | Question: 87
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a...
2 2 votes
1 1 answer
1.9k
1.9k views
CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ...
1 1 vote
1 1 answer
2.2k
2.2k views
CAT 2017 Set-2 | Question: 92
If $\log\left ( 2^{a} \times 3^{b}\times 5^{c}\right )$ is the arithmetic mean of $\log\left ( 2^{2} \times 3^{3}\times 5 \right ),$ $\log\left ( 2^{6} \times3\times 5^{7...
1 1 vote
1 1 answer
1.7k
1.7k views
CAT 2017 Set-1 | Question: 97
If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the products of the $3^{\text{rd}}$ and $17^{\text{th}}$ ter...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive...
2 2 votes
0 0 answers
1.5k
1.5k views
CAT 2016 | Question: 94
A series $\text{S1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $\text{S2...
0 0 votes
0 0 answers
1.6k
1.6k views
CAT 2016 | Question: 95
A series $\text{S1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $\text{S2...
2 2 votes
2 2 answers
3.2k
3.2k views
CAT 2015 | Question: 86
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?$7$$64$$56$Cannot be determined
0 0 votes
1 1 answer
1.6k
1.6k views
CAT 2015 | Question: 94
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ a...
2 2 votes
1 1 answer
2.1k
2.1k views
CAT 2019 Set-1 | Question: 75
If $a_{1},a_{2}\dots$ are in A.P., then, $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\dots+\frac{1}{\sqrt{a_{n}}+\sqrt{a_{n+1}}}$ is equal to...
0 0 votes
0 0 answers
2.2k
2.2k views
CAT 2003 | Question: 1-140
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to$5$$4$$2$$3$
0 0 votes
2 answers 2 answers
2.5k
2.5k views
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 elemen...
0 0 votes
2 answers 2 answers
2.7k
2.7k views
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
0 0 votes
0 0 answers
1.3k
1.3k views
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 $1000$...
To see more, click for the full list of questions or popular tags.