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• Sainik / RMS Class VI Entrance Exam 2020 Model paper Set 01 Maths
• ## Sainik / RMS Class VI Entrance Exam 2020 Model paper Set 01 Maths

•   12 November 2019

Mathematics Multiple Choice Questions for Sainik- RMS- Entrance Exam Class VI Set -01

No of questions 50. Time 1 hr 30 mins

1. Which one is bigger 25% of 144 of 19% of 200?
 Q.No Option A Option B Option C Option D Your  ans 1 19% of 200 is Bigger 25% of 144 is Bigger Both are equal

1. If an article was sold for Rs.160 and profit made was Rs.20. Then its cost price is___
 Q.No Option A Option B Option C Option D Your  ans 2 Rs.100 Rs.120 Rs.130 Rs.140

1. Calculate the interest on Rs.5000, at 5 % per annum invested for 12 months.
 Q.No Option A Option B Option C Option D Your  ans 3 Rs.100 Rs.320 Rs.315 Rs.250

1. Find the amount receivable on an investment of Rs.900 invested for 5years at 7% p.a
 Q.No Option A Option B Option C Option D Your  ans 4 Rs.1000 Rs.1320 Rs.1315 Rs.1215

1. Simplify 2 ½ + 3 ½ - 1 ¾ = ?
 Q.No Option A Option B Option C Option D Your  ans 5 4 ¼ 2 ½ 2 ¼ 2 ¾ A

1. Divide 0.192 by 12.
 Q.No Option A Option B Option C Option D Your  ans 6 0.016 0.16 1.6 0.0016 A

1. If a Triangle has one angle as 90 deg and the other 2 angles each 45 degrees then it is called__________Triangle.
 Q.No A Option B Option C Option D Your  ans 7 Acute Equilateral Right angled Obtuse C

1. What number should be subtracted from 99 to make it a prime number?
 Q.No Option A Option B Option C Option D Your  ans 8 4 2 3 1

1. What number should be added to 18999 so that it becomes 47909?
 Q.No Option A Option B Option C Option D Your  ans 9 18999 28910 29810 28920

1. Find the Square root of 0.09
 Q.No Option A Option B Option C Option D Your  ans 10 0.03 0.3 3.0 0.003

Q.11. Area of a circle is 154 Sq.cm. Find its Radius.

 Q.No Option A Option B Option C Option D Your  ans 11 3.5 cm 7 cm 14 cm 28 cm

Q.12. Find the circumference of a circle whose diameter is 14 cm.

 Q.No Option A Option B Option C Option D Your  ans 12 44 cm 124 cm 154 cm 134 cm

1. 13. Convert 11/200 into percentage.
 Q.No Option A Option B Option C Option D Your  ans 13 4.5 % 5.5% .5% 6.5 %

Q.14. What is the reciprocal of 11/ 5?

 Q.No Option A Option B Option C Option D Your  ans 14 5/11 6/11 5.5 6.5

Q.15. Kamala borrowed Rs.400 at the rate of 10 % per annum. She paid the SI and P after 6 months. How much amount did she pay back?

 Q.No Option A Option B Option C Option D Your  ans 15 Rs 440 Rs 405 Rs 415 Rs.420

Q.16. What is the volume of a cube whose one edge is  8 cm?

 Q.No A Option B Option C Option D Your  ans 16 312 sq.cm 512 cm 512 sq cm 512 cubic cm

Q.17. Area of a Rectangle is 12 sq.m  and its breadth is 3 cm , what is its length?

 Q.No A Option B Option C Option D Your  ans 17 12 cm 5 cm 4  cm None of these

Q.18, Vimla has 7.5 m long ribbon. She wants to divide it into equal parts with kamla and Roma. How much each will get?

 Q.No A Option B Option C Option D Your  ans 18 2 cm 2.5 cm 2.5 m 35 cm

Q.19. Volume of a cardboard box is 56 cm length, 49 cm breadth and 25 cm height. How many soap each of volume 87.5 cubic cm can be kept in it

 Q.No A Option B Option C Option D Your  ans 19 284 844 874 784

Q.20. Ramesh spends 15 % of his income of House rent, if his income was Rs.7000. How much rent did he pay?

 Q.No A Option B Option C Option D Your  ans 20 Rs. 1500 Rs. 1250 Rs. 1050 Rs. 1150

Q.21. Roshan covers a distance of 108 km at a speed of 15 m/second. How many hours will he take to cover this distance?

 Q.No A Option B Option C Option D Your  ans 21 1 ½ hr 2 ½ h 2 h 3 h

Q.22. The largest chord of a circle is known as

 Q.No A Option B Option C Option D Your  ans 22 Radius Diameter Arc Sector

Q.23. What is the complementary angle of 55 degrees?

 Q.No A Option B Option C Option D Your  ans 23 45 degrees 35 degrees 125 degrees None of these

Q.24. An acute angle is more than _____ degree and less than ____ degrees

 Q.No A Option B Option C Option D Your  ans 24 more than 0 and less than 90 > than 45 and,< 90 > 90 and < 180 None A

Q.25.Which of the following tri angle has one angle bigger than the SUM of  other two angles?

 Q.No A Option B Option C Option D Your  ans 25 Right Angle Obtuse Angle equilateral triangle Both B and C

Q.26. Solid and hollow pipes of same size have _____ Volume

 Q.No A Option B Option C Option D Your  ans 26 Equal Unequal ---- ------

Q.27. The space occupied by a solid is called its______________

 Q.No A Option B Option C Option D Your  ans 27 area Perimeter Volume None of these

Q.28. What is the cost of a carpet whose length is 5 m and breadth is 3 m, if its cost per square meter is Rs.10?

 Q.No A Option B Option C Option D Your  ans 28 Rs. 150 Rs. 175r Rs. 180 Rs. 250

Q.29. An alloy contains 15% Zinc and 25% Brass and rest Copper. How much copper is there in 75 kg of that alloy?

 Q.No A Option B Option C Option D Your  ans 29 15 kg 25 kg 35 kg 45 kg

Q.30. A man bought 5 kg of Rice at Rs. 25 per kg, and 2.kg Dal at Rs.29 per kg,1/2 kg of Ghee @Rs.100 per kg. How much will he pay for the items purchased?

 Q.No A Option B Option C Option D Your  ans 30 Rs.159 RS.252 kg Rs.233 kg Rs.245 kg

Q.31. Convert 30 degree Celsius temperature into Fahrenheit temperature.

 Q.No A Option B Option C Option D Your  ans 31 58 Deg F 68 Deg F 78 Deg F 86 Deg F

Q.32.Convert 212 Degree F into Celsius Temp

 Q.No A Option B Option C Option D Your  ans 32 58 C 68 Deg C 78 Deg C 100 Deg C

Q.33. In a school there are 29, 43, 38 ,26 and 34 children respectively in classes 1 to 5 . If each of them give Rs.10  for a function, how much total money will be collected?

 Q.No A Option B Option C Option D Your  ans 33 Rs. 1400 Rs. 1450 Rs. 1600 Rs. 1700

Q.34. A milk man has Four buckets of milk that has 8 litres, 9 litres, 11 litres and 12 litres respectively. If he has to distribute milk equally into 2 parts how will he do it?

 Q.No A Option B Option C Option D Your  ans 34 20 l 30 l 15 l 25 l

Q.35. Find the perimeter of a square whose area is 625 Sq.m?

 Q.No A Option B Option C Option D Your  ans 35 25 m 50 m 75 m 100 m

Q.36. Find the Volume of a cuboid whose l= 5.5 m, B= 3 m and height = 2.5 m

 Q.No A Option B Option C Option D Your  ans 36 41.25 Cubic m 55.5 Cubic  m 27.5 Cubic m None of these

Q.37. 95/8  ÷1/8 and convert the answer into a compound fraction.

 Q.No A Option B Option C Option D Your  ans 37

Q.38. Convert 2179/ 1000 into a decimal

 Q.No A Option B Option C Option D Your  ans 38 2.179 0.2179 21.79 217.9

Q.39. Find the value of 0.725 +0.39

 Q.No A Option B Option C Option D Your  ans 39 1.115 11.15 12.15 0.115

Q.40. Write the year 2020 in Roman Numerals.

 Q.No A Option B Option C Option D Your  ans 40 DDMM MMXX MDMX DXMMX

Q.41. Subtract the area of square of side 8 cm form the area of the rectangle whose length is 12 cm and breadth is 8 cm

 Q.No A Option B Option C Option D Your  ans 41 30 sq.cm 28 sq.cm 26 sq.cm 32 sq.cm

Q.42 Find the sum of the perimeter of a square whose one side is 6 cm and an Equilateral triangle whose one side is 6 cm.

 Q.No A Option B Option C Option D Your  ans 42 32 m 48.cm 64 m 42 cm

Q.43. Normal Human body temperature in Fahrenheit is______

 Q.No A Option B Option C Option D Your  ans 43 32 Deg  C 96  Deg F 98.4 Deg F 99 Degree F

1. 44. The volume of a Cube is equal to that of an area of a rectangle. Find the side of the cube , if the area of the rect angle is 512 sq.cm ( ignore the units, take only the numerical value)
 Q.No A Option B Option C Option D Your  ans 44 4 cm 6 cm 8 cm 9 cm

Q.45. A triangle has Sum of the two of its angle equal to the third angle then the Value of the Third angle. Which could be such a triangle?

 Q.No A Option B Option C Option D Your  ans 45 Acute angle Tri angle Right Angle tri angle Isosceles triangle B or C

Q.46. What would be the cost of painting a  wall of 20 m x 15 m, if the cost of painting is Rs. 45 per sq.m

 Q.No A Option B Option C Option D Your  ans 46 Rs. 13500 Rs. 12500 Rs. 14500 Rs. 15500

Q.47. An express train covers a distance of 914.5 km in 10 hours.  If this train covers equal distance in equal time, then how much will it cover in 1 hour?

 Q.No A Option B Option C Option D Your  ans 47 81.5 km 91.45 km 91.25 km 91. 55 km

Q.48. A cyclist covers 0.9 km in 3 minutes. What will be his speed in km/hr?

 Q.No A Option B Option C Option D Your  ans 48 8 km 18 km 24 km 32 km

Q.49. Find the Gain percent of a sale of an LCD TV costing Rs. 18,000 sold for Rs. 19,000

 Q.No A Option B Option C Option D Your  ans 49 4.5 % 5.6% 5.5% 6.5 %

Q.50. A train running at a speed of 72 km/h crosses a pole in 9 seconds. Find the length of the train.

 Q.No A Option B Option C Option D Your  ans 50 180 m 208 m 240 m 320 km

 1 19% of 200 is Bigger A 2 CP Rs.140 D 3 SI = Rs.250. D 4 Amount  P + Si = 900 + 315 = Rs.1215 D 5 4 ¼  (2 +3 = 5 + 1/2 + 1/2= 6 - 1 3/4 = 4 and 1/4 ans) A 6 0.192/ 12  can be written as 192/ 12000  = 0.016 answer A 7 Right angled Triangle C 8 The greatest two digit prime number is 97. ( 99-2) B 9 47909 - 18999 = 28910 ( this is to be added) B 10 0.09 its square rootÖ0.09= 0.3 B 11 7 cm B 12 Formula 2r x 22/7  or 14 x 22 / 7 = 44 cm A 13 11/ 200 = 11/ 200 X 100 = 11/2 = 5 1/2 OR 5.5 % B 14 5/11 A 15 Rs. 420 D 16 Side x side x side =  8 x 8 x 8 = 512 Cubic cm because  Volume is always in Cubic units D 17 Area/ breadth = 12/3 = 4 cm hence Ans  is none of the choices given E 18 7/5 m / 3 = 2/5 m each C 19 Volume of the cardboard box = 68600 / volume of soap= 784 soaps D 20 7000 x 15/ 100 = 70 x 15 = Rs.1050 C 21 2 hours C 22 Diameter B 23 Complementary angle of 55 degrees = 90 55= 35 degrees B 24 More than 0 degrees and less than 90 degrees= Acute angle tri angle A 25 B B 26 Unequal B 27 Volume C 28 cost of carpet whose area is 15 sq.m is 15 x10 = Rs. 150 answer A 29 45 kg D 30 5 x25 = 125 + 58 +50 = 175+58 =Rs. 233 C 31 30 degree C = 9/5 * 30 + 32 = 54 +32 = 86 Degree F D 32 212 Deg F = 212-32= 180 x 5/ 9 = 20 x 5 = 100 degree C D 33 170 x 10 = Rs. 1700 D 34 Total quantity of milk in 4 buckets = 8+9+11+12 = 40 litres 40/2 = 20 l A 35 100m D 36 41.2 cubic m A 37 Answer= 2 and 31/32 A 38 2.179 A 39 1.115 A 40 2020 = MMXX B 41 96 sq.cm  - 64 sq.cm =  32 sq.cm D 42 42 cm D 43 98.4 deg F C 44 One side of the cube is 8 cm D 45 It  may be B and C D 46 20 x 15  = 300 x 45 =Rs.13500 A 47 91.45 km B 48 18 km B 49 5.6 % approx. A 50 72 x 5/18= 4 x5 =20 m x 9 = 180 m is the length of the train A

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