Model paper for RIMC- RMS - Sainik Entrance Exam-2017

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Defence Academy Coimbatore A leading coaching academy for Sainik, Military and RIMC Schools, NDA, IMA, AFCAT SSB, FSB Interview http://www.ssbcoaching.com call 094437 20076


Maths Practice

EASY

Single Step Calculation

Q1. A train moves with the speed of 180 km/hr. Find the speed in m/sec ? - 2 marks Question
(a) 20 m/sec
(b) 30 m/sec
(c) 50 m/sec
(d) 70 m/sec

Solution:
To Convert Km/hr into m/s
Multiply
Km/hr  * 5 /18
180 x 5 / 18  = 10 x 5 = 50 m/s answer

 Two step Calculation--------------3 marks

Q2. A 150 metres long train moving at the speed of 126 km/hr. What time it will take to cross an electric pole ?
(a) 3.5 seconds
(b) 4.2 seconds
(c) 5 seconds
(d) 6 seconds

 Solution:
To find what?
a) To find the speed of the train in m/s
b) To find the Time taken by the train to Travel a distance of 150 m
Note: Here the word used is to cross an electric pole this means just its own length

 Formula to be used
a) Multiply the km/hr into 5/ 18 to get the speed in m/s----------------------Answer I
b) Divide 150 m/ Answer one  to get the time taken to travel this distance

 126 x  5 /18 = 7 x 5 = 35 m/s
150 / 35 =4.28 Seconds  Answer


Three Step Calculation: Five Marks Question


Q3. A train of length 250 meter long running at the speed of 10 m/sec. How much time it will take to cross a platform of 650 meter length ?
(a) 60 seconds
(b) 72 seconds
(c) 85 seconds
(d) 90 seconds

Solution:
To find what?
a) To find the Time taken by the train to travel 250 m  (first)
b) To find the Time taken by the train to travel 650 m  (Second)
c) To find the Total Time taken by the train to travel ( 250 + 650 m)

Note: Here the word used is to cross a Platform this means  its own length + the Length of the Flatform.

 Formula to be used
First Logic- 10 m in 1 seconds 
Therefore 250 min 10 seconds
a) Divide  the speed in m/s  by Distance traveled ( Distance / speed = Time)( 250/ 10= 25 s--Ans I)
b) Divide  the speed in m/s  by Distance traveled ( Distance / speed = Time)( 650/ 10= 65 s--Ans I)
b) Add  to get the time taken to travel this distance is 900 m in  90 seconds ( ANSWER)



Simple Logic - 2 Marks Question


Q4. A train with a uniform speed crosses a pole in 2 seconds and a bridge of length 250m in 7 seconds. The length of the train is ?
(a) 85 metre
(b) 100 metre
(c) 105 metre
(d) 125 metre



Q5. A train of 260 m long passed a pole in 26 secconds. How long will it take to pass a platform of 740 m long ?
(a) 78 seconds
(b) 96 seconds
(c) 100 seconds
(d) 115 seconds




Q6. A train travels first 160 Km at 64 Km/hr and the next 160 Km at 80 Km/hr. The average speed for the first 320 Km of the tour is
(a) 57.24 km/hr
(b) 71.11 km/hr
(c) 78.32 km/hr
(d) 91 km/hr


Q1. A man can row upstream at 10 km/hr and downstream at 16 km/hr. The speed of the stream is ?
(a) 2 Km/hr
(b) 3 Km/hr
(c) 8 Km/hr
(d) 15 Km/hr


Q2. A boat can travel 15 km/ hr in still water. If the speed of the the stream is 3 km/hr, then what will be the time taken by the boat to travel 72 km in downstream direction ?
(a) 3 hrs
(b) 4 hrs
(c) 6 hrs
(d) 12 hrs



Q3. A boat can travel 10 km/ hr in still water. If the speed of the the stream is 6 km/hr, then what will be the time taken by the boat to travel 40 km in upstream direction ?
(a) 8 hrs
(b) 9 hrs
(c) 10 hrs
(d) 12 hrs







Q4. The speed of a current is 5 km/hr and a man's speed against the current is 18 km/hr. So the man's speed with the current is ?
(a) 28 km/hr
(b) 23 km/hr
(c) 20 km/hr
(d) 16 km/hr

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