ECAT Mathematics — Functions and Limits
Functions and Limits is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 6 subtopics, and we hold 50 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (6)
How Functions and Limits is tested
Across the 7 ECAT past papers on ParhaiKrlo, Functions and Limits accounts for 22 questions. It appears in 6 of them, about 3.7 questions a paper. The heaviest was ECAT Past Paper 06, with 7 questions, and the most recent is ECAT Past Paper 07, with 3.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 3 |
| ECAT Past Paper 06 | 7 |
| ECAT Past Paper 05 | 2 |
| ECAT Past Paper 04 | 3 |
| ECAT Past Paper 03 | 5 |
| ECAT Past Paper 01 | 2 |
Functions and Limits MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Functions and Limits
log₃27 − log₅25 is equal to:
- A.log₄2
- B.2
- C.1
- D.None of the above
Show answer
Answer: C. 1 — 3 − 2 = 1.
- Q2 · ECAT Past Paper 06 · Functions and Limits
Which of the following statements is true?
- A.16^(1/3) × 16^(1/6) = 4
- B.9^(1/3) × 9^(1/6) = 81^(1/8)
- C.9^(1/3) × 9^(1/6) = 9^(1/18)
- D.All of these
Show answer
Answer: A. 16^(1/3) × 16^(1/6) = 4 — 16^(1/3 + 1/6) = 16^(1/2) = 4.
- Q3 · ECAT Past Paper 05 · Functions and Limits
2²ˣ − 10·2ˣ + 16 = 0 gives the values of x:
- A.{3, 4}
- B.{8, 4}
- C.{1, 3}
- D.{5, 9}
Show answer
Answer: C. {1, 3} — Let y = 2ˣ: y² − 10y + 16 = 0 gives y = 2 or 8, so x = 1 or 3.