Management Exams (CAT) - Quantitative Aptitude (QA)

Functions, Logs, Polynomials, Coordinate Geometry & Permutations question bank (Advanced Algebra, Geometry & Modern Math)

Practice 616 free Management Exams (CAT) - Quantitative Aptitude (QA) Advanced Algebra, Geometry & Modern Math - Functions, Logs, Polynomials, Coordinate Geometry & Permutations questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

Time, Speed & Escalators: A commuter walks up a moving upwards escalator in 30 seconds taking 20 steps in 'Quadratic & Higher Degree Polynomials, Descarte's Rule of Signs'. The same commuter walks up the same escalator moving downwards in 90 seconds taking 60 steps. How many steps are visible when the escalator is stationary?

(A)

30 steps ($N = 20 + 30v_e = 60 - 90v_e \implies 120v_e = 40 \implies v_e = 1/3 \implies N = 30$) (Quadratic & Higher Degree Polynomials, Descarte's Rule of Signs)

(B)

40 steps

(C)

45 steps

(D)

50 steps

Show answer & solution

Verified Answer & Solution Locked

Q2.

Geometry (Apollonius Theorem): In $\triangle ABC$ in 'Quadratic & Higher Degree Polynomials, Descarte's Rule of Signs', $AB = 7\text{ cm}$, $AC = 9\text{ cm}$, and median $AD = 7\text{ cm}$. What is the length of side $BC$?

(A)

$8\sqrt{2}\text{ cm} \approx 11.31\text{ cm}$ ($7^2 + 9^2 = 2(7^2 + BD^2) \implies 130 = 2(49 + BD^2) \implies BD^2 = 16 \implies BD = 4 \implies BC = 8$) or $8\text{ cm}$ (Quadratic & Higher Degree Polynomials, Descarte's Rule of Signs)

(B)

10 cm

(C)

12 cm

(D)

14 cm

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 378 Questions in Functions, Logs, Polynomials, Coordinate Geometry & Permutations

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 378 questions

Unlock every Functions, Logs, Polynomials, Coordinate Geometry & Permutations question, generate papers, and practice at your own pace.

Start free