GATE 2011 CS (CS1) – Question 9

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

A transporter receives the same daily orders and has an initial backlog. Seven trucks clear all orders by the end of day four; three trucks clear them by the end of day ten. Find the minimum trucks to eliminate pending orders by the end of day five.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 6

Explanation

Measure work in truck-days. If backlog is B and daily arrivals r, B+4r=28 and B+10r=30. Thus r=1/3 and B=80/3. For five days, 5t≥B+5r=85/3, so t≥17/3≈5.667. Six trucks are required, C.

More Quantitative Aptitude: Algebra, Geometry and Mensuration questions

GATE 2015 CS (CS2) Q5 – For f(x)=1− x on −1≤x≤1, give the maximizing x and maximum value, respectively.
GATE 2015 CS (CS2) Q9 – P,R,S,T,U form an arithmetic progression. Which lists must also be arithmetic…
GATE 2015 CS (CS3) Q5 – A linear function f has f(−2)=29 and f(3)=39. Find f(5).
GATE 2015 CS (CS3) Q9 – Which equation describes the thick line in the plotted graph?
GATE 2021 CS (CS2) Q3 – If θ is the angle between the longest diagonal of a cube and any edge, find cos θ.
GATE 2021 CS (CS2) Q4 – If (x-12)2-(x-32)2=x+2, find x.

All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →