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# CAT Progression & Series Practice Questions: Moderate, Practice, and Previous Year Questions

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Progression & Series Questions for the CAT exam are part of the Quant section in the CAT exam. Through Progression & Series questions, aspirants are tested on number theory and algebra. The difficulty level of the Progression & Series questions can be easy to moderate.

## CAT Progression & Series Practice questions for the CAT exam

Q 1. The sum of the integers lying between 1 and 100 (both inclusive) and divisible by 3 or 5 or 7 is
A. 818
B. 1828
C. 2838
D. 3848

Q 2. The maximum value of the sum of the AP 50,48,46,44,… is
A. 650
B. 450
C. 558
D. 648

Q 3. The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is
A. –4
B. –12
C. 12
D. 4

Q 4. For the given pair (x, y) of positive integers, such that 4x-17y=1 and x<1000 how many integer values of y satisfy the given conditions?
A. 56
B. 57
C. 58
D. 59

## Must-do Progression & Series questions for the CAT exam?

Q 5: One year payment to the servant is Rs. 90 plus one turban. The servant leaves after 9 months and receives Rs. 65 and turban. Then find the price of the turban
A. Rs.10
B. Rs.15
C. Rs.7.5
D. Cannot be determined

Q 6: In CAT 2007 there were 75 questions. Each correct answer was rewarded by 4 marks and each wrong answer was penalized by 1 mark. In how many different combination of correct and wrong answer is a score of 50 possible?
A. 14
B. 15
C. 16
D. None of these

Q 7: How many integer solutions exist for the equation 8x – 5y = 221 such that x×y<0
A. 4
B. 5
C. 6
D. 8

Q 8: How many integer solutions exists for the equation 11x + 15y = -1 such that both x and y are less than 100?
A. 15
B. 16
C. 17
D. 18

Q 7: The number of ordered pairs of natural numbers (a, b) satisfying the equation 2a + 3b = 100 is:
A. 13
B. 14
C. 15
D. 16

Q 8: For how many positive integral values of N, less than 40 does the equation 3a – Nb = 5, have no integer solution
A. 13
B. 14
C. 15
D. 12

## Most Important Progression & Series Question for CAT

Q 9: What are the number of integral solutions of equation 7x + 3y = 123 for x,y > 0
A. 3
B. 5
C. 12
D. Infinite

Q 10: The cost of 3 hamburgers, 5 milk shakes, and 1 order of fries at a certain fast food restaurant is \$23.50. At the same restaurant, the cost of 5 hamburgers, 9 milk shakes, and 1 order of fries is \$39.50. What is the cost of 2 hamburgers, 2 milk shakes, and 2 orders of fries at this restaurant?
A. 10
B. 15
C. 7.5
D. Cannot be determined

Q 11: How many integer solutions are there for the equation: |x| + |y| =7?
A. 24
B. 26
C. 14
D. None of these

Q 12: A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
A. 2 ≤ x ≤ 6
B. 5 ≤ x ≤ 8
C. 9 ≤ x ≤ 12
D. 11 ≤ x ≤ 14

Q 13. If both a and b belong to the set (1, 2, 3, 4), then the number of equations of the form ax2+bx+1=0 having real roots is
A. 10
B. 7
C. 6
D. 12

## Find Some Previous Year Progression & Series Questions for CAT

Q 14: Rakesh and Manish solve an equation. In solving Rakesh commits a mistake in constant term and finds the root 8 and 2. Manish commits a mistake in the coefficient of x and finds the roots -9 and -1. Find the correct roots.
A. 9,1
B. -9,1
C. -8,-2
D. None of these

Q 15: The number of quadratic equations which are unchanged by squaring their roots is
A. 2
B. 4
C. 6
D. None of these.

Q 16. A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f (x) at x = 10?
A. -105
B. -119
C. -159
D. -110

Q 17. Find abc if a+b+c = 0 and a3+ b3+ c3=216
A. 48
B. 72
C. 24
D. 216