RMS- Sainik Entrance Preparation Maths- By www.sainikrimc.com

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                                    Rashtriya Military School and Sainik School Class VI Entrance Preparation Quiz. Mathematics Target -2018-19 with explanation / Solutions

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 1. What will be the value of  in percentage?
          a) 2/3 Percent
          b) 10 / 3 Percent
          c) 60 %
          d) 66.66%
          e) 25/3 Percent

 2. Simplify the following expression.      ( 1 / 1/2  +  2 / 2/3 + 3  / 3/4)
          a) 1/ 9
          b) 9
          c) 29 / 12
          d) 8
          e) 3

 3. If the cost of 7 kg wheat is Rs. 245, what will be the cost of 5 kg wheat?
          a) Rs.35
          b) Rs. 105
          c) Rs. 140
          d) Rs. 175
          e) Rs. 225

 4. Which of the following is not a square number?
          a) 289
          b) 144
          c) 169
          d) 254
          e) 625

 5. Calculate the number of minutes in  ( 2 By 3 )  of an hour.
          a) 40 minutes
          b) 38 minutes
          c) 45 minutes
          d) 80 minutes
          e) 106 minutes

 6. What is the difference between the smallest and the greatest three-digit numbers formed by using the digits 5, 6 and 7 exactly once so that no digit is repeated?
          a) 0
          b) 19
          c) 98
          d) 189
          e) 198

 7. What will be the measure of supplementary angle of 55 ° ?
          a) 140 °
          b) 160 °
          c) 105 °
          d) 125 °
          e) 130 °

 8. What is the value of p in the equation 2p + 3 = 7?
          a) 5
          b) 1
          c) 2
          d) 3
          e) 4

 9. Which of the following can be the square root of the number ' x'?
          a) x²
          b) √x
          c) X
          d) x raised to the power 4
          e) X * X

 10. What is the Ratio of 30 minutes  to 1. 5 hours?
          a) 3 :1
          b) 1 : 3
          c) 1: 2
          d) 2 ; 3
          e) 3 : 6



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 11. If the circumference of a circle is 88 cm, what is the radius of the circle?
          a) 7 cm
          b) 14 cm
          c) 28 cm
          d) 56 cm
          e) 76 cm

 12. A student needs to score 80% or more to secure grade A in an examination. How much should the student score out of 800 to get grade A?
          a) 640
          b) 720
          c) 800
          d) 560
          e) 540

 13. A roll of cloth contains 97 cm. How much is it in m?
          a) 27 CM
          b) 2.7 M
          c) 97
          d) 9.7
          e) 0.97 m

 14. If in a Triangle ABC, if Angle B - 90degrees and Angle A is 45 degrees then Angle C is _____ Degrees
          a) 20 degrees
          b) 40 degrees
          c) 45 degrees
          d) 50 degrees
          e) 55 degrees

 15. Aditya  purchased 5 chairs and 2 tables for Rs.1625. Jane purchased 2 chairs and 1 table for Rs.750. Find the cost of a chair and a table.
          a) Rs. 450
          b) Rs. 500
          c) Rs. 550
          d) Rs. 650
          e) Rs. 625

 16. A car travels a distance of 240 kilometres in 4 hours. Find the speed of the car.
          a) 36 km/hr
          b) 40 km/hr
          c) 50 km/hr
          d) 60 km/hr
          e) 65 km/hr

 17. A certain number is multiplied by 3 and the product is then divided by 2. If the result is 24, what is the number?
          a) 8
          b) 12
          c) 14
          d) 18
          e) None of these

 18. Samantha started to bake some cookies at 6:40 pm. The cookies normally took 45 minutes to bake. But she took them out 10 minutes late than the actual time. At what time did she take the cookies out?
          a) 7:25 pm
          b) 7.30 pm
          c) 7:35 pm
          d) 7:45 PM
          e) 8: 00 PM

 19. Suresh bought a sofa set for Rs. 12,600 and sold it for Rs. 13,200. What is his profit percent?
          a) 4.76%
          b) 4 . 26%
          c) 3.75 %
          d) 5. 24 %
          e) 6. 25 %

 20. Find the average of the following scores:

124, 856, 331, 227, 963, 338, 259, 662
          a) 420
          b) 620
          c) 540
          d) 470
          e) 570


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 21. What is the value of 15/ 7 in percentage?
          a) 214.3 %
          b) 46.66%
          c) 91%
          d) 43.5 %
          e) 87.25%

 22. Simplify the following expression.  14 / 8  + 13 / 10
          a) 3 and 1/ 5
          b) 3. 15
          c) 3 and 1/20
          d) 3. 25
          e) 3. 75

 23. If the cost of 15 cans of juice is Rs. 480, what will be the cost of 5 such cans?
          a) Rs. 280
          b) Rs. 160
          c) Rs. 176
          d) Rs. 98
          e) Rs. 120

 24. Find the square  of   - 7 / -9  ( Remember when you multiply negative  into negative it becomes Positive)
          a) - 49 / - 81
          b) - 63 / - 81
          c) 49 / -81
          d) + 49 / + 91
          e) -49 / + 81

 25. A blue whale weighs 149550 kg and it is 30 times heavier than an elephant. How much does an elephant weigh?
          a) 5890 kg
          b) 4895 kg
          c) 4985 kg
          d) 6745 kg
          e) 8754 kg

 26. Find the difference between the greatest 5 digit number and the greatest 4 digit number.
          a) 90000
          b) 10000
          c) 90909
          d) 1000
          e) 100

 27. What is the measure of the angle supplementary to an angle measuring 105 Degrees?
          a) 65 degrees
          b) 70 degrees
          c) 65 degrees
          d) 75 degrees
          e) 80 degrees

 28. Which of the following values of n satisfies the equation 14n + 12 = 40?
          a) n = - 2
          b) n = 0
          c) n = 1
          d) n = 2
          e) n = 3

 29. What is the ratio of 30 cm to 15 m?
          a) 1 : 50
          b) 1 : 5
          c) 5 : 1
          d) 1: 10

 30. The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.
          a) 44 kg
          b) 54 kg
          c) 52 kg
          d) 48. 5 kg
          e) 49.75 kg


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 31. . A cricketer has a mean score of 58 runs in nine innings. Find out how many runs are to be scored by him in the tenth innings to raise the mean score to 61.


          a) 47
          b) 59
          c) 61
          d) 72
          e) 88

 32. The mean of five numbers is 28. If one of the numbers is excluded, the mean gets reduced by 2. Find the excluded number.
          a) 26
          b) 48
          c) 36
          d) 42
          e) 34

 33. The mean weight of a class of 35 students is 45 kg. If the weight of the teacher be included, the mean weight increases by 500 g. Find the weight of the teacher.
          a) 51 KG
          b) 53 kg
          c) 63  kg
          d) 73 kg
          e) 76 kg

 34. The average height of 30 boys was calculated to be 150 cm. It was detected later that one value of 165 cm was wrongly copied as 135 cm for the computation of the mean. Find the correct mean.
          a) 131 cm
          b) 141 cm
          c) 151 cm
          d) 132 cm
          e) 142 cm

 35. The mean of 16 items was found to be 30. On rechecking, it was found that two items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Find the correct mean.
          a) 31.25.
          b) 28.50
          c) 24. 75
          d) 31. 50
          e) 30.60

 36. The mean of 25 observations is 36. If the mean of the first observations is 32 and that of the last 13 observations is 39, find the 13th observation.
          a) 13
          b) 23
          c) 25
          d) 31
          e) 29

 37. The aggregate monthly expenditure of a family was Rs. 6240 during the first 3 months, Rs. 6780 during the next 4 months and Rs.7236 during the last 5 months of a year. If the total saving during the year is Rs. 7080, find the average monthly income of the family.
          a) Rs. 7425.
          b) Rs. 7225.
          c) Rs. 7625.
          d) Rs. 6425.
          e) Rs. 5657

 38. What is the circumference of a circle, when its radius is 5.5 cm?
          a) 34.57 cm
          b) 32.22232 cm
          c) 33 cm
          d) 31 cm
          e) 29 cm

 39. In a school, 40% of the enrolled students are boys and 80% of the boys are present on a certain day. If 1152 boys are present, the total number of students in the school is _____.
          a) 1440
          b) 1840
          c) 2010
          d) 3500
          e) 3600

 40.

The odometer of a car shows 5420km. How many thousand kilometers is the reading?

          a) 4
          b) 5
          c) 6
          d) 7
          e) 54

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 41.
Copyright © www.www.doorsteptutor.com
For how many tens does the digit 8 stand in the product of 820 and 145?


          a) 8
          b) 80
          c) 800
          d) 8000

 42.
Find the difference of the greatest 6-digit number and the smallest 4-digit number.

          a) 9,98,999
          b) 9,89,999
          c) 9,99,999
          d) 1,00,000

 43. The difference of two numbers is5425201. If the greater number is 7968325, what is the smaller number?

          a) 2543124
          b) 2543214
          c) 2534124
          d) 2543421

 44.
The digits 8,6,3,7,5 and 7 are arranged to form the greatest possible 6-digit odd number. Find the difference in value of the two digits 7.
          a) 63,000
          b) 3,600
          c) 54,400
          d) 6,300

 45. In a school, there are a total of 3789 students and teachers. The total number of teachers and boys is 2136. The total number of girls and teachers is1675. How many teachers are there in the school?

          a) 65
          b) 20
          c) 38
          d) 22

 46.
Write the largest 8-digit number. Write the name of that number.

          a) Nine crore, ninety nine lakh, ninety nine thousand, nine hundred and ninety nine.
          b) Ninety nine, nine lakh, ninety nine hundred and ninety nine.
          c) Ninety nine crore, nine lakh, ninety nine thousand, nine hundred and ninety nine.
          d) Ninety nine lakh, ninety nine thousand, nine hundred and ninety nine.

 47. 9, 4, 8, 5 and 5 are arranged to form the greatest possible 5-digit even number. Find the difference in value of the two digits 5.
          a) 40500
          b) 450
          c) 5400
          d) 4500

 48. Which is the largest number out of the following:
LD,  CXV, MD AND XVI
          a) LD
          b) CXV
          c) MD
          d) XVI

 49. What is the difference between the place value and facle value of 9, in 79,02,129
          a) 899991
          b) 900009
          c) 890091
          d) 900001

 50. Find the numeral for three million and thirty three
          a) 3,000,033
          b) 30,000,033
          c) 3,000,330
          d) 3,000,030

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