Free Maths revision test for sainik -rms class vi

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There will be 30 questions in this section.        Please read the questions carefully and answer them

Each question carries 3 marks 3x 33 = 99 neatness carries 01 mark

The answer sheet should be drawn with pen and use the foot ruler. On the top write

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Q.No:	Your Answer	Correct Answer	Marks	Remarks
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Q.No	Question	Remarks
1	What is the SUCCESSOR of the greatest number of 5 digits formed with the digits 6,9,0,2,1
2	The difference between the place and face value of 3 in 232001 is__________
3	In the following which is the greatest number? (a) (4)^2,   (b) [(2+2)^2]^2,   (c) (2 x 2 x 2)^2, (d) (2 + 2 + 2)^2, e) (2+2 x 2 +2)^2
4	A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Sainik School - 2019)
5	(5967 - 2437 -1910) Divided by? = 27
6	15-10+5x2 ÷5
7	(10 x 10 x10) ÷ (20÷10 x10 – 10) +6 = ?
8	___________________ Ö5² +41X5 -17² -75 = ?
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10	1150 ÷50 ÷23 +15 = ?
11	Viky had Rs.250. He spent Rs.50 on the books. Find his percent expenditure.
12	If 90% of A =30% if B  and B = x% of A , then the value of x  is
13	If 6 men can do a job in 10 days, then in how many days 4 men will do the same job?
14	The cost of 5 tables is the same as the cost of 7 chairs. If the cost of one table is Rs.210 find the cost of a chair.
15	How many meters of cloth at Rs.3.50 per meter will be exchanged by a cloth merchant for Rs.7 kg of tea at the rate of Rs.28 per kg?
16	A Cricket player scores 13, 0, 19, 17, 6 & 11 runs in different matches. Find his average
17	The average age of 30 students in a 4 classes is 15 years. If 16 students of this class have the average age of 16 years, then find the average age of remaining 14 students
18	The average of three numbers is 24, if one of the numbers is 18 and the other number is 19, find the third number.
19	Duration of sunshine in Aligarh city for one week of August 2002 are given as 12.20 hours, 12.18 hours, 12.17 hours, 12.15 hours, 12.13 hours, 12.12 hours, 12.10 hours. Find the average duration of sun shine.
20	The average of two numbers is 5. One of the two numbers is four times as big as the other. What are these two numbers?
21	Ramesh had rs.250. He spent Rs.50 on books. Find his percent expenditure.
22	Find 5 % of Rs.200 + 10% of Rs.250
23	The population of a certain town has increased from 60,000 to 65,000. Find the increase percent.
24	A's salary is 80%  of B's salary. If B's salary is Rs.14,600, find A's salary.
25	Convert 0.4 into percent and 2.75  as percent
26	Profit and Loss A man bought 75 m of cloth at Rs.18 per metre. At what rate per metre should he sell the cloth so as to gain Rs.150?
27	Mohan purchased a Cell Phone for Rs. 10,000. he paid Rs.150 as tax and Rs.100 recharge at what price must he sell it to gain 20 %
28	By selling a plot of land for Rs. 17250, Raj gains 5%. For how much should he sell the plot to gain 15% in the transaction?
29	Two horses were sold for Rs.12,000 each,on eat a loss of 20% and the other at a gain of 20%. The entire transaction resulted in :
30	The cost price of 20 articles is the same as the selling price of x articles.If the profit is 25%, then the value of x is :

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer

Q.No:	Answer	Explanation
1	96211	The answer is 96210 +1 ( Successor) = 96211 is the Correct answer
2	29997	30000 – 3 = 29997
3	B	[(2+2)^2]^2  [(4)^2} = (16)^2 = 256                                             4^2 =  16                      (2x2x2)^2 = (8)^2 = 64                         (2+2+2) ^2 = (6)^2 = 36 (2+2x2+2)^2 = (2+4+2)^2 =(8)^2 = 64
4	65124	Multiply 7236 by 65 =  (7236 x65) –( 7236 x 56) By taking out the common number we get 7236( 65-56) 7236 x 9 = 65124
5	60	By simplification using BODMAS we get 1620 / x = 27 OR x = 1620 / 27 = 60 answer
6	7	15-10 +5 x 2  divided by 5  = 15-10 +5 x 2/5     = 17 -10 = 7
7	106	10 x10 x 10 Divided by (20/10 x 10 -10) + 6 = 1000 Divided by (20-10) +6 1000 Divided by 10+6 100 +6 = 106
8	69	Ö 24 X41 X5 -17 X17 -75 = Ö  5125 - 289 -75 =Ö 4761 = 69
9	9  1/30
10	16	1150/50 ÷13+15 = 23÷23 +15 = 1+15 = 16 Answer
11		Out of Rs. 250 the expenditure is Rs.50 our out of Rs.1m the expenditure is 50/250  Hence, out of Rs.100, the expenditure  = (50 x100) / 25 = 20 %
12	Rs.300	solution: 900/100 A = 30/100 B  = 30/100 * x/100 A x = 90/100 x (100 *100) / 30 = Rs.300
13	15 Days	6 men can do a job in 10 days, hence, 1 man can do the same job in 6 x10 = 60 days Therefore 4 men can do the same job in 60 divided b4 = 15 Days
14	Rs.150	Cost of 5 tables = Cost of 7 chairs,& cost of 1 table is Rs.210, so, cost of 5 Tables=210x 5= Rs.1050 Therefore cost of 7 Chairs=Rs1050, Hence Cost of 1 chair= 1050 Divided by 7    = Rs.150 Answer
15	Rs.56.	Cost of 1 kg of tea= Rs.28, and Cost of 7 kg of Tea= Rs.28 x 7 = Rs.196 Cost of 1 m of cloth= Rs.3.50, Therefore for 196 we get cloth @Rs.3.50 p/mtr= 196/ 3.50 = 56 m
16	10 Runs	Average= Sum of all / Total innings = 13+0+19+17+11 =60 / 6 = 10 Runs
17	13.85 years	Average age of 30 students = 15 years. hence total age= 30 x 15 = 450 years Average age of 16 students = 16years, hence total age = 16 x 16 = 256 Years Total age of remaining 14 students  = 450 - 256 = 194 years Hence, average age of 14 students = 194/ 14 = 13.85 years Answer
18	35	24 x3 =  72 &   18+19 = 37, hence the  Dif      = 35 is the third number
19	12.15 hours	Total duration of sun shine = 12.20 + 12.18 + 12.17 + 12.15 + 12.13 + 12.12 + 12.10 = 85.05 hours. Number of days = 7 Therefore, average duration of sunshine = 85.05/7 = 12.15 hours.
20	8	5x2 =10 total one  numbers x, the other number is 4 x 5x =10 x =2 so 2 and 8
21	20%	Out of Rs.250.  Expenditure= Rs.50, Therefore out of Rs.100 -Expenditure =x Hence, x = 100 x 50 / 250 = 20 %
22	Rs.35	5% of 200      = 5/100 *200      = Rs.10,10% of Rs.250 = 10/100 * 250 = Rs.25 Total = Rs.10+Rs.25 = Rs.35 answer
23	8 1/3%	Increase in population = 65000 - 60000 = 5000 percentage of increase = for 60000  it  is 5000 Hence for 100 it would  be x Cross multiply 5000 x 100 / 60000 = 5 x 10/ 6 = 25/3 = 8 1/3 % of 8.33 %
24	Rs.11,680	Let the salary of  A be Rs.80. then B's salary is Rs. 100 Hence is 100% = Rs. 14,600, then 80% = x Cross multiply (80x 14,600) / 100 =  80 x 146 = Rs.11,680 Answer
25	40% and 275%	0.4 = 4/10 = 4 x100 / 10 x100 = 40/100 = 40% 2.75 = 275 x100 / 100 x100 = 275 /100  = 275%
26	Rs.1500	75 for Rs.1500
27	Rs.12300	10000 +15)+100 = Rs. 10250 , gain 20%  SP = 120/100 x 10250 = Rs. 12300
28	Rs.18860
29	Loss Rs.100	Total selling price=12000×2=24000 One sell 20% loss then cost price =80100​×12000=10000 One sell 20% gain then cost price=120100​×12000=15000 Total cost price=10000+15000=25000 Loss=25000−24000=1000
30		Cost price of 20 articles =selling price of x articles ⇒20×c.p=x×s.p .........(1) Profit =25%     Profit=S.P−C.P Profit %=C.PS.P−C.P​×100=25   ⇒C.PS.P​=1=41​ ⇒x20​−1=41​ (∵ from (1))      ⇒x20​=45​ ⇒x=16.