All India Sainik School / Rashtriya Military School Entrance Examination Practice Test- By www.sainikrimc.com
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All India Sainik School / Rashtriya Military School Entrance
Examination Practice Test
Subject: Mathematics-
20 Questions 100 marks each Q carries 4 marks, write solution in steps.
1. What would be the SUM, DIFFERENCE and Product of the Greatest
and least four digit number that can be formed from 0, 5, 9 and 3?
2. What is the Roman numeral for (a) 737 (b) 1234
3. If 4 bells ring at an interval of 3, 5, 9, 15 minutes
respectively, and if all of them rang together at 1300 hours at what time will
they all ring together again.
4. A man wants to stitch suits from a cloth of 8500 decimeters.
Each suit requires 5.5 metrs, find out
a) How many suits
can be stitched?
b) What amount of
cloth would be left ?
5. The cost of 2 ½ dz pens is equal to the cost of 5 dz
pencils, if two pencils cost Rs.3 what would be the cost of the pens and
pencils?
6. What will be the average of milk consumed by a family in
a week, if it had purchased 42 litres in the in first 10 days and 84 litres in
the next 18 days month of Feb 2017?
7. The sum which amounts to Rs.364.80 in 8 years
at 3.5% simple interest per annum is__
8. On selling
an article for Rs.240, a trader loses 4 %. In order to gain 10 %, he must sell
the article for ___
9. 15 men complete a
work in 16 days. If 24 men are employed, then the time required to complete
that work will be______
10. What distance will
a car travel is 45 minutes, if its speed was 54 m/s? Answer should be in Kmph.
11. A train takes 10 seconds to cross a pole and 20 s to cross
a platform of length 200 m. What is the length of the train?
12. The present age of
Ravi’s father is four times Ravi’s present age. Five years back he was seven
times as old as Ravi was at that time. What is the present age of Ravi’s father?
13. Divide an amount of
Rs.72, 900 between, A, B and C in the ration 2: 3: 4
14. If the Radius of a
circle is the side of a square, if the area of the Square is 529 Sq. m, find
the diameter of the circle
15. Find the cost of
Fencing a Rectangular garden whose length is 8000 cm, and breadth is 6000 cm,
and the cost of fencing is. Rs.45 per m
16. Simplify: {8 x 4
(12÷3) + 4 of 3 - 8}
17. What would be the circumference of a circle area is 154
sq cm?
18. What will be the volume of a tank whose L is 12.5 m, width
is 10 m and height is 5 m?
19. Find the square root of 1521
20. Find the gain percent on a sale of a cell phone
purchased for Rs.8500 and sold for Rs.9000 (Ans in one decimal point only/
fraction)
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Answers:Q.No: 1
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Greatest = 9530
least = 3059
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Sum = 12589
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Difference = 6471
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Product =28152270
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Q. 2
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Q.3
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LCM is 45 hence they will all ring together at 1345 hours.
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Q. 4
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850 decimeter is 850 m. 850 / 5.5 ( 847 m is required and left is 3
m)
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Q. 5
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2 ½ dz means 30 pens. 2 pencils-
1 pen is 30 x 3 = Rs.90 + 90 = Rs.180
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Q.6
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42 + 84 = 126 / 28 = 4.5 x 7 = 31.5 lit per week
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Q.7
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Rs.285
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Q.8
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Rs.275
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Q.9
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10 Days
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Q.10
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54x 3600 / 1000 = 194.4 km per hour in 45 min it will travel 145.8 km
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Q.11
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200 m
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Q.12
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40 Years
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Q.13
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A= Rs.16200, B =Rs.24,300, and C gets
Rs.32,400
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Q.14
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Side = 23 m= radius, Dia is 2 x r = 2 x 23=
46 m answer
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Q.15
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2( L+B) =2 ( 80 + 60) = 2x 140 = 280 x 45
=Rs.12,600
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Q.16
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8 x 16+12-8 ie. 96 + 12 = 108-
8 = 100
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Q.17
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44 m
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Q.18
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625 cubic m
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Q.19
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39 x 39 = 1521
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Q.20
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5.9 %
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