Management Exams (CAT) - Quantitative Aptitude (QA)

Advanced Proportions, Mixtures, Time-Speed & Work question bank (Arithmetic & Commercial Mathematics)

Practice 610 free Management Exams (CAT) - Quantitative Aptitude (QA) Arithmetic & Commercial Mathematics - Advanced Proportions, Mixtures, Time-Speed & Work questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

Algebra & Functions: In 'Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed', if $f(x) + 2f(1/x) = 3x$ for all $x \neq 0$, what is the value of $f(2)$?

(A)

$-1$ ($f(2) + 2f(1/2) = 6$ and $f(1/2) + 2f(2) = 3/2 \implies 3f(2) = -3 \implies f(2) = -1$) (Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed)

(B)

$2$

(C)

$1$

(D)

$-2$

Show answer & solution

Verified Answer & Solution Locked

Q2.

Modern Math (Derangements): In how many ways can 5 distinct letters be placed into 5 addressed envelopes in 'Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed' such that NO letter is placed into its correctly addressed envelope?

(A)

44 ways ($!5 = 5! [1 - 1/1! + 1/2! - 1/3! + 1/4! - 1/5!] = 120 [1/2 - 1/6 + 1/24 - 1/120] = 44$) (Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed)

(B)

120 ways

(C)

60 ways

(D)

89 ways

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 216 Questions in Advanced Proportions, Mixtures, Time-Speed & Work

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 216 questions

Unlock every Advanced Proportions, Mixtures, Time-Speed & Work question, generate papers, and practice at your own pace.

Start free