NDA MATHEMETICS QUIZ

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Question 1:

Chulbul Pandey starts moving from chowki A and reaches chowki B in 12 hours. He covers one-fifth of the total distance at the speed of $9 \mathrm{~km} / \mathrm{h}$ and covers the remaining distance at the speed of $12 \mathrm{~km} / \mathrm{h}$. Find the distance between chowki A and chowki $B$.

Question 2:

40 litres of petrol is required to travel 800 $\mathrm{km}$ using a $800 \mathrm{cc}$ engine car. If the volume of petrol required to cover a distance varies directly as the capacity of the engine of car, then how many litres of petrol is required to travel $1000 \mathrm{kms}$ using $1200 \mathrm{cc}$ engine car.

Question 3:

Anuj has to cover a distance of $320 \mathrm{~km}$ in 20 hours. If he covers $ 12.5 \%$ of the distance in $75 \%$ of the time, then what should be his speed (in $\mathrm{km} / \mathrm{h}$ ) to cover the remaining distance in the remaining time?

Question 4:

$A$ takes $3 \frac{1}{2}$ hours more than $\mathrm{B}$ to cover a distance of $36 \mathrm{~km}$. If speed of $\mathrm{A}$ become thrice, he takes 90 minute more than $B$ to cover $108 \mathrm{~km}$. To cover a distance of $81 \mathrm{~km}$, how much time will $B$ take travelling at his same speed?

Question 5:

Arjun takes 3 hours more than Boby to cover a distance of $80 \mathrm{~km}$. If Arjun doubles his speed he takes 1 hour more than Boby to cover $160 \mathrm{~km}$. To cover a distance of 120 $\mathrm{km}$, how much time will Boby take travelling at the same speed?

Question 6:

Train A leaves from Delhi for Ludhiana and Train B leaves from Ludhiana for Delhi at the same time on the same day on parallel tracks. Both trains meet after $6 \frac{1}{2}$ hours. The speed of train 12 km/h more than that of A. What is the speed (in $\mathrm{km} / \mathrm{h}$ ) of train B? If distance between Delhi and Ludhiana is 468 km.

Question 7:

Two trains of different length crosses a pole in $15 \mathrm{sec}$ and $18 \mathrm{sec}$ respectively. But they cross each other travelling in the same direction in 20 sec. Find the ratio of their speeds.

Question 8:

Train A takes 50 minutes more than train B to travel a distance of $420 \mathrm{~km}$. Due to engine trouble, speed of train $B$ falls by onethird, So it takes $30 \mathrm{~min}$ more than train A to complete the same journey what is the speed of train A?

Question 9:

Train A travelling at $52 \mathrm{~km} / \mathrm{h}$ crosses another train B, having three fourth of its length and travelling in opposite direction at $38 \mathrm{~km} / \mathrm{hr}$ in 14 seconds. Train A passed a railway platform in 36 seconds. Find length of the platform.

Question 10:

A square field has area $15750.25$ $m^{2}$, find the approximate time taken by a man to complete at speed of $3 \frac{11}{80} \mathrm{~m} / \mathrm{s}$.