Arithmetic Questions for the CAT exam are part of the section in the CAT exam. Through Arithmetic questions, aspirants are tested on concepts related to Formula and divisibility. The difficulty level of the Algebra questions can be easy to moderate.
Arithmetic Topics for CAT Exam Preparation
What is this arithmetic section all about? We will split the section into four chunks the first chunk will be percentages, profit-and-loss, and simple interest, compound interest as an extension of percentages. The second big chunk will be ratio proportions mixtures and it is the opposite of weighted averages mixtures are one way or the other so these three will form the second big chunk. The third chunk is our speed, time, and distance races and as an extension of this in a way where you have rates which is work time and this is the third bigger chunk. The fourth chunk includes a lot of small ideas, some bits, and pieces of solving equations, and progressions, technically covered in algebra not arithmetic but some parts of it and you also have logs, exponents, clocks, calendars, and binomial theorem.
-
Percent, Profit & Loss, SICI
-
Ratios, Mixtures, Averages
-
Speed, Time, Distance, Races, Pipe Cisterns & Work Time
-
Miscellaneous
Books to Follow to Prepare Arithmetic for CAT
We would suggest you to purchase only one sort of material either use a self-preparation book you can use Arun Sharma's Book. It's definitely a great book for this purpose or you could also use any other coaching material that is available for you or any other self-preparation book that has been recommended to you just use one simple material and start focusing on that only. Below are some references you could buy:
- NCERT Mathematics Books (Class 6 to 10)
- "How to Prepare for Quantitative Aptitude for the CAT" by Arun Sharma
- "Quantitative Aptitude for Competitive Examinations" by Abhijit Guha
- "Quantitative Aptitude Quantum CAT" by Sarvesh Sharma
- "Quantitative Aptitude for CAT" by Nishit Sinha
- "Quantitative Aptitude" by RS Aggarwal
Types of Arithmetic Questions for CAT
The Quantitative Ability section of the CAT exam consists of a diverse range of arithmetic-based questions that you must be prepared to crack. Some common types of arithmetic questions are:
- Time, Speed, and Distance
- Time and Work, Pipes and Cisterns
- Simple Interest and Compound Interest
- Ratio, Proportion, and Variation
- Profit, Loss, and Discount
- Mixtures and Allegations
Best Arithmetic Progression questions for the CAT exam
Q 1. Ravi invests a sum of money in a bank which gives a simple interest of 5% p.a. He invests twice the amount of money in another bank which gives an interest of 3% P..A. compounded annually. At the end of 3 years, the interest earned from which bank would be higher and by what percent(approx)?
A. 1st, 25%
B. 2nd, 10%
C. 2nd, 24%
D. 1st. 15%
Answer. C
Q 2. On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is
Answer: 3 π (5+(12/π))
Q 3. A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is
A. 243
B. 232
C. 256
D. 264
Answer: A
Q 4. If the volume of a right circular cylinder that can be cut out from a sphere of radius 6 cm is the maximum possible, then find the radius of the cylinder.
Answer: 26
What are the must-do Arithmetic Progression questions for the CAT exam?
Q 5. A solid sphere is cut into 8 identical pieces by three mutually perpendicular cuts. By what percentage is the sum of the total surface areas of the eight pieces more than the total surface area of the original sphere?
A. 110
B. 150
C. 70
D. 90
Answer: B
Q 6. What is the number of distinct points of intersection of x^2 + y^2= 169, 5x + 12y = 169 and x=0.
A. 2
B. 4
C. 3
D. 1
Answer: B
Q 7. The LCM of 2.5, 0.5 and 0.175
A. 2.5
B. 5
C. 7.5
D. 17.5
Answer: A
Q 8. The greatest number which will divide;4003, 4126and 4249
A. 43
B. 41
C. 45
D. None of these
Answer: C
Q 9. Find the sum of divisors 544 excluding 1 and 544
A. 1089
B. 545
C. 589
D. 1134
Answer: C
Q 10. the LCM of 2.5, 0.5 and 0.175
A. 4.5
B. 45
C. 0.225
D. 2.25
Answer: A
What are the most important Arithmetic Progression questions for CAT 2024 exam?
Q 11. Find the sum of even divisors of 4096
A. 1089
B. 545
C. 589
D. 1134
Answer: C
Q 12. Find the sum of divisors 144 and 160
A. 589
B. 781
C. 735
D. None of these
Answer: B
Q 13. Find the number of divisors of 544 which are greater than 3
A. 15
B. 10
C. 12
D. None of these
Answer: D
Q 14. Neeraj has agreed to mow a lawn, which is a 20 m × 40 m rectangle. He mows it with 1 m wide strip. If Neeraj starts at one corner and mows around the lawn toward the centre, about how many times would he go round before he has mowed half the lawn?
A. 2.5
B. 3.5
C. 3.8
D. 4
Answer: C
Q 15. Find the minimum integral value of n such that the division 5n/124 leaves no
A. 124
B. 123
C. 31
D. 62
Answer: A
Find some previous year Arithmetic Progression questions from the CAT 2023
Q 16. two numbers are in the ratio 17:13. If their HCF is 15, What are the numbers
Answer: 17x15 and 13x15 i.e, 255 and 195 respectively.
Q 17. What is the sum of all natural numbers from 1 to
100?
(a) 5050
(b) 6000
(c) 5000
(d) 5052
Answer: A
Q 18. If the sum of two numbers is 14 and their difference is 10. Find the product of these two numbers.
(a) 24
(b) 22
(c) 20
(d) 18
Answer: A
Q 19. If m = −4 , n = −2, then the value of 3 2 2 3 m m mnnn − + ++ + 3 3 33 is (a) −120
(b) −124
(c) −126
(d) −128
Answer: C
Q 20. Find the H.C.F. of 23 × 32 × 5 × 74, 22 × 35 × 52 × 73, 23 × 53 × 72.
Solution. The prime numbers common to given numbers are 2, 5 and 7.
H.C.F. = 22 × 5 × 72 = 980.
What are the most difficult Arithmetic Progression questions for the CAT 2024?
Q 21. Find the H.C.F. of:
(a) 42, 63 and 140
(b) 108, 288 and 360
Solution. (a) 42 = 2 × 3 × 7, 63 = 32 × 7 and 140 = 22 × 5 × 7.
H.C.F. = 7.
b) 108 = 22 × 33, 288 = 25 × 32 and 360 = 23 × 5 × 32.
H.C.F. = 22 × 32 = 36.
Q 22. Reduce 391 667 to the lowest terms.
Solution. H.C.F. of 391 and 667 is 23
Q 23. Find the greatest number of five digits which is divisible by 15, 21 and 36.
Solution. Greatest number of five digits = 99999.
Required number must be divisible by L.C.M. of 15, 21, 36, i.e., 1260.
On dividing 99999 by 1260, we get 459 as remainder.
Required number = (99999 – 459) = 99540.
Q 24. Find the smallest number of five digits exactly divisible by 16, 24, 36 and 54.
Solution. The smallest number of five digits is 10000.
The required number must be divisible by L.C.M. of 16, 24, 36, 54, i.e., 432.
On dividing 10000 by 432, we get 64 as the remainder.
Required number = 10000 + (432 – 64) = 10368.
Stay informed, Stay ahead and Stay inspired with MBA Rendezvous.