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# Maths Questions for CTET Exam :28th March 2019(Solutions)

Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2019, DSSSB ,KVS,STET Exam.

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(a) 12 km/hr
(b) 16 km/hr
(c) 3 km/hr
(d) 8 km/hr
Q3. A motorboat covers a certain distance downstream in 6 hrs but takes 8 hrs to return upstream to the starting point. If the speed of the stream be 6 km/hr, find the speed of the motor boat in still water.
(a) 41 km/hr
(b) 43 km/hr
(c) 42 km/hr
(d) 44 km/hr
Q4. Anand travelled 300 km by train and 200 km by taxi. It took him 5 hrs and 30 min. However, if he travels 260 km by train and 240 km by taxi, he takes 6 minutes more. The speed of the train is:
(a) 100 km/hr
(b) 120 km/hr
(c) 80 km/hr
(d) 110 km/hr
Q5. Two trains are 35 m apart and running in same direction with speeds 30 km/hr and 45 km/hr, respectively. If they cross each other in 5 minutes then what is the total length of both the trains?
(a) 354 m
(b) 225 m
(c) 1215 m
(d) 1322 m
Q6. Points A and B are 60 km apart. A bus starts from A and another from B at the same time. If they go in the same direction, then they meet in 6 hrs and if they go in opposite directions, they meet in 2 hrs. The speed of the bus with greater speed is:
(a) 10 km/hr
(b) 20 km/hr
(c) 30 km/hr
(d) 40 km/hr
Q7. A train travelled 75% of the way from town X to town Y by travelling for A hrs at an average speed of B km/hr. The train travels at an average speed of S km/hr for the remaining part of the journey. Which of the following expression represents the average speed of the entire journey?
(a) 0.75B + 0.25
(b) (4 BS)/(3S + B)
(c) AB/3S
(d) 0.75A + 0.25S
Q8. A 100 m long train passes a man, running in the same direction at 6 km/hr, in 5 second and a car travelling in the same direction in 6 s. At what speed is the car travelling (length of both the man and car is negligible)?
(a) 18 km/hr
(b) 20 km/hr
(c) 24 km/hr
(d) 30 km/hr
Q9. Excluding stoppages, the speed of a train is 45 km/hr and including stoppages, it is 36 km/hr. For how many minutes, does the train stop per hour?
(a) 10
(b) 12
(c) 15
(d) 18
Q10. If the speed of a railway train is increased by 5 km/hr from its normal speed, then it would have taken 2 hrs less for a journey of 300 km, What is its normal speed?
(a) 10 km/hr
(b) 25 km/hr
(c) 20 km/hr
(d) 30 km/hr