Management Exams (CAT) - Quantitative Aptitude (QA)

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

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Q1.

CAT Quantitative Aptitude (Arithmetic - Mixtures): In 'Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed', a container contains 80 litres of pure milk. 8 litres are removed and replaced with water. This process is repeated once more. How much milk remains in the container?

(A)

64.8 litres ($80 \times (1 - 8/80)^2 = 80 \times 0.81 = 64.8\text{ L}$) (Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed)

(B)

64 litres

(C)

68.4 litres

(D)

62.5 litres

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Q2.

Logarithms: In 'Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed', find the value of $x$ satisfying $\log_2(\log_3(x)) = 1$:

(A)

$9$ ($\log_3(x) = 2^1 = 2 \implies x = 3^2 = 9$) (Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed)

(B)

$8$

(C)

$6$

(D)

$27$

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