Revision test for class VI RMS and Sainik School Entrance - 2018

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This week test for Sainik / RMS Aspirants

1. Write the Sum and Difference between the greatest  and the least 4 digit numbers that can be formed from 3,0, 9, 7 without repeating any number.                                                                                                    

2. Find the LCM of 4, 12 and 30

3. What is the Roman numeral that does not get repeated more than 3 times (Write all )

4. If a man wants to buy 5 pens and 4 note books, and the shopkeeper says, 1 dozen pen costs Rs.144

And ½ Dz note books cost Rs.72. How much will he pay all together?

5. Find  the value of    {6 x ( 8 + 2) – ( 4-3)}

6. Find the Area of a Square whose one side is 15 cm.

7. Find the area of a circle whose radius is 7 cms

8. Find the volume of a Cube whose one side is 7 cm.

9. Find the average of the first 7 Prime numbers starting from 11.

10. Find the Selling price of a horse, if its purchase price was Rs.12,500, and the seller needs 12% profit on it sale.

Formula to be used

Area of a square is Side x Side

Area of a circle is pie x radius x radius (pie = 22 / 7)

Area is always in square units

Volume of the cube is Side x Side x Side

Average = Sum of all / Qty

SP = CP + Profit

Profit % = Profit / CP *100

Use BODMAS to solve the simplification

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Solutions:

1. Write the Sum and Difference between the greatest  and the least 4 digit numbers that can be formed from 3,0, 9, 7 without repeating any number.   

Greatest 4 digit number is    9730

Least      4 digit Number is   3079

SUM                                    12809

Difference                              6651

                                                                                                 

2. Find the LCM of 4, 12 and 30

4 = 2 x 2

12 =2 x 2 x 3

30 = 2 x 3 x 5

LCM = 2 x 2x 3 x 5 = 4 x 15 = 60 answer

3. What is the Roman numeral that does not get repeated more than 3 times (Write all )

No digit is repeated in succession more than thrice, i.e., I, X and C cannot be repeated more than 3 times.

(d) The digits V, L and D are not repeated. The repetition of V, L and D is invalid in the formation of numbers.

4. If a man wants to buy 5 pens and 4 note books, and the shopkeeper says, 1 dozen pen costs Rs.144

And ½ Dz note books cost Rs.72. How much will he pay all together?

Solution:

1 dz = 12 units

cost of 12 pens = Rs.144

cost of 1 pen     = 12 , ( 12 x 5 = Rs. 60)

Cost of  6 note books is Rs. 72 , hence one book is Rs. 12

Hence cost of 4 books = 12 x 4 = 48

Total of 5 pens  + 4 books = Rs. 108 Answer

5. Find  the value of    {6 x ( 8 + 2) – ( 4-3)}

BODMAS

{ 6 x ( 10) - ( 1) }

{ 6 x 9}

= 54 answer

6. Find the Area of a Square whose one side is 15 cm.

Side x side = 15 x 15 = 225 sq cm

7. Find the area of a circle whose radius is 7 cms

Area  = Pie x r x r = 22/ 7 x 7 x 7 = 22 x 7 = 154 sq cm

8. Find the volume of a Cube whose one side is 7 cm.

Volume = Side x Side x Side = 7 x 7  x  7 = 49 x 7 =  343 Cubic cm

9. Find the average of the first 7 Prime numbers starting from 11.

11 + 13+ 17 + 19 + 23 + 29 + 31 

143 / 7 = 20.428

10. Find the Selling price of a horse, if its purchase price was Rs.12,500, and the seller needs 12% profit on it sale.

For 100 rs Profit is Rs. 12

Therefore for 12500 ----X

Cross multiply   12500 x 12 / 100

125 x 12 =  Rs.1500 Profit

Therefore selling price is Rs. 12500 + 1500 = Rs. 14,000 Answer

Performance report of the Sainik School Aspirants for the above Questions

1. Sai krishna