NinetynineCAT Number Systems questions 40 since 2017
Across the 24 CAT papers from 2017 to 2025, Number Systems was asked 40 times, in 21 of the 24 papers. CAT asks about 1.7 Number Systems questions per paper on average; in 2022–2025 it was 1.8 per paper, against 1.5 in the four years before (steady). Below is how often it appeared each year, the ideas CAT keeps reusing, and every question with its answer.
Key facts
- Across the 24 CAT papers from 2017 to 2025, Number Systems was asked 40 times, in 21 of the 24 papers.
- Number Systems is the 8th most-asked of the 16 CAT QA topics, with 6.5% of all QA questions since 2017.
- CAT asks about 1.7 Number Systems questions per paper on average; in 2022–2025 it was 1.8 per paper, against 1.5 in the four years before (steady).
- The heaviest year for Number Systems was CAT 2025, with 8 questions across 3 slots.
Counted from all 24 CAT papers 2017–2025 (1,830 questions), one topic tag per question. How we tag.
How many Number Systems questions come in CAT each year?
| Year | Questions | Slots that year | Per slot |
|---|---|---|---|
| CAT 2017 | 3 | 2 | 1.5 |
| CAT 2018 | 3 | 2 | 1.5 |
| CAT 2019 | 4 | 2 | 2.0 |
| CAT 2020 | 6 | 3 | 2.0 |
| CAT 2021 | 2 | 3 | 0.7 |
| CAT 2022 | 5 | 3 | 1.7 |
| CAT 2023 | 5 | 3 | 1.7 |
| CAT 2024 | 4 | 3 | 1.3 |
| CAT 2025 | 8 | 3 | 2.7 |
Number Systems ideas CAT has repeated
- Remainder of a large power: find the cycle of remainders 3 questions, 2024
- Count divisors of a special form using prime-factor exponents 5 questions, 2019–2025
- Integer equations solved by listing factor pairs 5 questions, 2017–2025
All Number Systems questions, newest first
CAT 2025
- CAT 2025 Slot 3 · QA Q17 The sum of all the digits of the number ( 10 ^ 50 + 10 ^ 25…
- CAT 2025 Slot 3 · QA Q20 For a 4-digit number (greater than 1000), sum of the digits…
- CAT 2025 Slot 2 · QA Q1 If m and n are integers such that ( m + 2 n ) ( 2 m + n ) =…
- CAT 2025 Slot 2 · QA Q9 Suppose a , b , c are three distinct natural numbers, such…
- CAT 2025 Slot 2 · QA Q11 The number of divisors of ( 2 ^ 6 × 3 ^ 5 × 5 ^ 3 × 7 ^ 2 )…
- CAT 2025 Slot 2 · QA Q20 The sum of digits of the number ( 625 ) ^ 65 × ( 128 ) ^ 36…
- CAT 2025 Slot 1 · QA Q5 In a 3-digit number N, the digits are non-zero and distinct…
- CAT 2025 Slot 1 · QA Q14 In a class, there were more than 10 boys and a certain…
CAT 2024
- CAT 2024 Slot 3 · QA Q6 If 10^68 is divided by 13 , the remainder is
- CAT 2024 Slot 2 · QA Q1 When 3^333 is divided by 11 , the remainder is
- CAT 2024 Slot 1 · QA Q10 When 10^100 is divided by 7 , the remainder is
- CAT 2024 Slot 1 · QA Q18 For any natural number n , let a_n be the largest integer…
CAT 2023
- CAT 2023 Slot 3 · QA Q6 The sum of the first two natural numbers, each having 15…
- CAT 2023 Slot 3 · QA Q15 The number of coins collected per week by two…
- CAT 2023 Slot 2 · QA Q3 For any natural numbers m, n , and k , such that k divides…
- CAT 2023 Slot 2 · QA Q6 The number of positive integers less than 50, having exactly…
- CAT 2023 Slot 1 · QA Q4 Let n be the least positive integer such that 168 is a…
CAT 2022
- CAT 2022 Slot 3 · QA Q19 A school has less than 5000 students and if the students are…
- CAT 2022 Slot 2 · QA Q13 For some natural number n , assume that (15,000) ! is…
- CAT 2022 Slot 1 · QA Q4 For natural numbers x, y , and z , if x y+y z=19 and y z+x…
- CAT 2022 Slot 1 · QA Q12 For any real number x , let [x] be the largest integer less…
- CAT 2022 Slot 1 · QA Q21 Let A be the largest positive integer that divides all the…
CAT 2021
- CAT 2021 Slot 2 · QA Q12 For a 4-digit number, the sum of its digits in the… answer only
- CAT 2021 Slot 1 · QA Q20 How many three-digit numbers are greater than 100 and… answer only
CAT 2020
- CAT 2020 Slot 3 · QA Q2 Let N, x and y be positive integers such that N = x + y, 2… answer only
- CAT 2020 Slot 3 · QA Q7 How many of the integers 1, 2, … , 120, are divisible by… answer only
- CAT 2020 Slot 3 · QA Q26 How many pairs (a,b) of positive integers are there such… answer only
- CAT 2020 Slot 2 · QA Q4 The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20… answer only
- CAT 2020 Slot 1 · QA Q1 How many 3-digit numbers are there, for which the product of…
- CAT 2020 Slot 1 · QA Q20 If a, b and c are positive integers such that ab = 432, bc =…
CAT 2019
- CAT 2019 Slot 2 · QA Q6 How many factors of 2^4 × 3^5 × 10^4 are perfect squares… answer only
- CAT 2019 Slot 2 · QA Q8 What is the largest positive integer such that… answer only
- CAT 2019 Slot 2 · QA Q22 How many pairs (m,n) of positive integers satisfy the… answer only
- CAT 2019 Slot 2 · QA Q26 In a six-digit number, the sixth, that is, the rightmost… answer only
CAT 2018
- CAT 2018 Slot 2 · QA Q7 If N and x are positive integers such that N^N = 2^160 and… answer only
- CAT 2018 Slot 2 · QA Q26 How many two-digit numbers, with a non-zero digit in the… answer only
- CAT 2018 Slot 1 · QA Q21 The number of integers x such that 0.25 < 2^x < 200, and 2^x… answer only
CAT 2017
- CAT 2017 Slot 2 · QA Q1 The numbers 1, 2,..., 9 are arranged in a 3 X 3 square grid… answer only
- CAT 2017 Slot 2 · QA Q21 If the product of three consecutive positive integers is… answer only
- CAT 2017 Slot 2 · QA Q28 How many different pairs (a, b) of positive integers are… answer only
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