NinetynineCAT Functions & Graphs questions 23 since 2017
Across the 24 CAT papers from 2017 to 2025, Functions & Graphs was asked 23 times, in 18 of the 24 papers. CAT asks about 1.0 Functions & Graphs questions per paper on average; in 2022–2025 it was 0.7 per paper, against 1.2 in the four years before (falling). 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, Functions & Graphs was asked 23 times, in 18 of the 24 papers.
- Functions & Graphs is the 11th most-asked of the 16 CAT QA topics, with 3.8% of all QA questions since 2017.
- CAT asks about 1.0 Functions & Graphs questions per paper on average; in 2022–2025 it was 0.7 per paper, against 1.2 in the four years before (falling).
- The heaviest year for Functions & Graphs was CAT 2019, with 4 questions across 2 slots.
Counted from all 24 CAT papers 2017–2025 (1,830 questions), one topic tag per question. How we tag.
How many Functions & Graphs 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 | 3 | 3 | 1.0 |
| CAT 2021 | 2 | 3 | 0.7 |
| CAT 2022 | 3 | 3 | 1.0 |
| CAT 2023 | 1 | 3 | 0.3 |
| CAT 2024 | 2 | 3 | 0.7 |
| CAT 2025 | 2 | 3 | 0.7 |
Functions & Graphs ideas CAT has repeated
- Minimum or maximum of a quadratic at its vertex 4 questions, 2020–2025
- Multiplicative functional equations: evaluate at prime powers 3 questions, 2017–2024
All Functions & Graphs questions, newest first
CAT 2025
- CAT 2025 Slot 3 · QA Q15 For real values of x , the range of the function f ( x ) = 2…
- CAT 2025 Slot 2 · QA Q4 Let f ( x ) = ( x )/( ( 2 x - 1 ) ) and g ( x ) = ( x )/…
CAT 2024
- CAT 2024 Slot 3 · QA Q20 For any non-zero real number x , let f(x)+2 f(1/x)=3 x…
- CAT 2024 Slot 2 · QA Q4 A function f maps the set of natural numbers to whole…
CAT 2023
- CAT 2023 Slot 3 · QA Q22 Suppose f(x, y) is a real-valued function such that f(3 x+2…
CAT 2022
- CAT 2022 Slot 3 · QA Q6 Let r be a real number and f(x)=arraycl2 x-r & if x ≥ r r &…
- CAT 2022 Slot 2 · QA Q10 Suppose for all integers x , there are two functions f and g…
- CAT 2022 Slot 2 · QA Q20 Let f(x) be a quadratic polynomial in x such that f(x) ≥ 0…
CAT 2021
- CAT 2021 Slot 3 · QA Q22 If f(x)=x^2-7 x and g(x)=x+3 , then the minimum value of…
- CAT 2021 Slot 2 · QA Q13 For all real values of x, the range of the function f(x) =… answer only
CAT 2020
- CAT 2020 Slot 3 · QA Q9 If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) - f(-10) is… answer only
- CAT 2020 Slot 2 · QA Q14 Let f(x) = x^2 + ax + b and g(x) = f(x + 1) - f(x - 1). If… answer only
- CAT 2020 Slot 1 · QA Q2 If f(5 + x) = f(5 - x) for every real x and f(x) = 0 has…
CAT 2019
- CAT 2019 Slot 2 · QA Q10 Let f be a function such that f (mn) = f (m) f (n) for every… answer only
- CAT 2019 Slot 1 · QA Q9 For any positive integer n, let f(n) = n(n + 1) if n is… answer only
- CAT 2019 Slot 1 · QA Q17 The number of the real roots of the equation 2cos(x(x + 1))… answer only
- CAT 2019 Slot 1 · QA Q33 Consider a function f(x+y) = f(x) f(y) where x , y are… answer only
CAT 2018
- CAT 2018 Slot 2 · QA Q30 Let f(x)=max5x, 52 - 2x^2, where x is any positive real… answer only
- CAT 2018 Slot 1 · QA Q3 If f(x + 2) = f(x) + f(x + 1) for all positive integers x… answer only
- CAT 2018 Slot 1 · QA Q33 Let f(x)=min2x^2, 52 - 5x, where x is any positive real… answer only
CAT 2017
- CAT 2017 Slot 2 · QA Q23 Let f(x) = x^2 and g(x) = 2^x, for all real x. Then the… answer only
- CAT 2017 Slot 2 · QA Q31 If f(ab) = f(a)f(b) for all positive integers a and b, then… answer only
- CAT 2017 Slot 1 · QA Q33 If f(x) = (5x + 2)/(3x - 5) and g(x) = x^2 – 2x – 1, then… answer only
More QA: all Quantitative Ability topics · CAT topic weightage, every section