CAT Previous Year Questions - Progressions

# Progressions CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions - Progressions
Try yourself:The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on. Then, the sum of the numbers in the 15th group is equal to

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:Three positive integers x, y and z are in arithmetic progression. If y - x > 2y − x > 2 and xyz = 5(x + y + z), then z-x equals

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:Consider a sequence of real numbers, x1 ,x2 ,x3 ,... such that xn+1 = xn + n − 1 for all n ≥ 1. If x1 =−1 then x100 is equal to

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:Let the m-th and n-th terms of a geometric progression be 3/4 and 12 , respectively, where m<n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is

[2021]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is

[2021]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10  matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:A shop owner bought a total of 64 shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was INR 50 less than that of a large shirt. She paid a total of INR 5000 for the large shirts, and a total of INR 1800 for the small shirts. Then, the price of a large shirt and a small shirt together, in INR, is

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will be

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:The total of male and female populations in a city increased by 25% from 1970 to 1980. During the same period, the male population increased by 40% while the female population increased by 20%. From 1980 to 1990, the female population increased by 25%. In 1990, if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from 1970 to 1990 is

[2021]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different sizes is equal to 800. The prices of the smallest size and the medium size are in the ratio 2 : 5. If the shop owner decides to increase the prices of the smallest and the medium ones by INR 6 keeping the price of the largest size unchanged, the product then changes to 3200. The sum of the original prices of three different sizes, in INR, is

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is

[2021]

Question for CAT Previous Year Questions - Progressions
Try yourself:If the population of a town is p in the beginning of any year then it becomes 3+2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be

[2019]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:If a1 + a2 + a3 + ... + an = 3(2n+1 - 2), then a11 equals

[TITA 2019]

Question for CAT Previous Year Questions - Progressions
Try yourself:If a1, a2, ......... are in A.P,  then , is equal to

[2019]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u =  and v =  If x ≥ z, then the minimum possible value of x is

(TITA 2018)

Question for CAT Previous Year Questions - Progressions
Try yourself:If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is:

[2017]

Question for CAT Previous Year Questions - Progressions
Try yourself:Let a1, a2,.......a3n be an arithmetic progression with a1 = 3 and a2 = 7. If a1 + a2 + ......+a3n = 1830, then what is the smallest positive integer m such that m (a1 + a2 + ..... + an) > 1830?

[2017]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Progressions
Try yourself:Let a1, a2, a3, a4, a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3. If the sum of the numbers in the new sequence is 450, then a5 is

[TITA 2017]

Question for CAT Previous Year Questions - Progressions
Try yourself:An infinite geometric progression a1, a2, a3,... has the property that an = 3(an+1 + an+2 +....) for every n ≥ 1. If the sum a1 + a2 + a3 +...... = 32, then a5 is

[2017]

Question for CAT Previous Year Questions - Progressions
Try yourself:If  ,..., then a1 + a2 + a3 + ...... + a100 is

[2017]

The document Progressions CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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## Quantitative Aptitude (Quant)

185 videos|158 docs|113 tests

## FAQs on Progressions CAT Previous Year Questions with Answer PDF

 1. What are the types of progressions covered in the CAT exam?
Ans. The CAT exam may include questions related to arithmetic progressions (AP), geometric progressions (GP), and harmonic progressions (HP).
 2. How can I identify an arithmetic progression?
Ans. An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant. To identify an arithmetic progression, check if the difference between consecutive terms remains the same throughout the sequence.
 3. What is the formula to find the sum of an arithmetic progression?
Ans. The formula to find the sum of an arithmetic progression is given by: Sn = (n/2)[2a + (n-1)d], where Sn is the sum of the first n terms, a is the first term, and d is the common difference.
 4. How can I identify a geometric progression?
Ans. A geometric progression is a sequence of numbers in which each term is obtained by multiplying the previous term by a constant ratio. To identify a geometric progression, check if the ratio between consecutive terms remains the same throughout the sequence.
 5. What is the formula to find the sum of a geometric progression?
Ans. The formula to find the sum of a geometric progression is given by: Sn = a(1 - r^n) / (1 - r), where Sn is the sum of the first n terms, a is the first term, and r is the common ratio.

## Quantitative Aptitude (Quant)

185 videos|158 docs|113 tests

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