SSC MTS MATHS QUIZ

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Question 1:

Speed of an aircraft is 120 km/min. This speed in m/sec is:

Question 2:

A man travelled a distance of $47 \mathrm{~km}$ in 6 hours. He travelled partly on foot at a speed of $6 \frac{1}{2} \mathrm{~km} / \mathrm{h}$ and the rest on a bicycle at a speed of $8 \frac{1}{2} \mathrm{~km} / \mathrm{h}$. The distance travelled (in $\mathrm{km}$ ) on bicycle is

Question 3:

A car covers the first 41 km of its journey in 45 min and covers the remaining 23 km in 35 min. What is the average speed (in m/sec ) of the car ?

Question 4:

Excluding stoppages, the speed of a bus is 60 km/h and including stoppages, it is 42 km/h. For how many minutes does the bus stop per hour?

Question 5:

The distance between two stations A and B is 700 km. A train covers the journey from A to B at a speed of 80 km/h and returns back to A with a uniform speed of 65 km/h. The average speed of train during the whole journey, is closest to

Question 6:

Ram travelled from a place $Z$ to $P$ at an average speed of $130 \mathrm{~km} / \mathrm{h}$. He travelled the first $75 \%$ of the distance in two-thirds of the time and the rest at an average speed of $X \mathrm{~km} / \mathrm{h}$. The value of $\frac{X}{2}$ is:

Question 7:

Akhil drives a car from his home to office at an average speed of 50 km/h and reaches office 10 min early. But one day due to some problem with the car, he could drive at an average speed of 30 km/h only and reached office 10 min late. How far is his office from home?

Question 8:

During a flight of 900 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 300 km/h and the time of flight increased by 30 min. The original duration of the flight was

Question 9:

The speed of a train is 110 km/h. It is increased by 20 % and then runs at uniform speed. The train driver sees the 'Slow Down' sign, so he reduces the speed of the train by 40 % of the speed at that moment. What is the final speed (in km/h, correct to one decimal place) of the train?

Question 10:

A train takes 1 hour and 12 minutes to cover a certain distance at a speed of $80 \mathrm{~km} / \mathrm{h}$. If the speed is increased by $25 \%$, then how much time (in hours) will it take to cover $\frac{25}{3}$ of the distance?