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 Set -04 Maths- RIMC  Full paper- May 2016 Compiled by www.sainikrimc.com

 1. Section I  3 marks each ( 3 x 10 = 30)
Insert an irrational number between
 √ 5 and  √ 8

          a)  √ 6.5
          b)  √  7
          c)  √ 7.5
          d)  √ 6.05

 2. Find  √ 27 correct to 3 decimal places
          a) 5.121
          b) 5.105
          c) 5.196
          d) 5. 194

 3. What is the least number must be subtracted from the following numbers to make them a perfect square?
11021
          a) 105
          b) 115
          c) 125
          d) 205

 4. An alloy consists of 27.5 kg of copper amd 2.5 kg of tin. Find the ratio by weight of tin to alloy.
          a) 1 : 10
          b) 1: 18
          c) 1: 20
          d) 1: 12

 5. Karim secured 35 marks out of 50 in Englsih and 29 Marks out of 40 in Science.  In which subject did he perform better?
          a) English
          b) Science

 6. If A : B  = 1/3 : 1/4 and B : C = 1/6 : 1/5, find the following
A :C and
A: B : C
          a) 10 : 6 and 20 : 15 : 18
          b) 10 : 9 and 12 : 15 : 18
          c) 10 : 9 and 20 : 15 : 16
          d) 10 : 9 and 20 : 15 : 18

 7. Four men working together take 3 hours to paint a wall.  How much time would 6 men take to do the same job?
          a) 1 hour
          b) 1.5 hour
          c) 2 hours
          d) 2.5 hours

 8. A fort is provided with food for 80 soldiers to last for 60 days. Find how long would the food last if 20 additional soldiers join after 15 days?
          a) 30 Days
          b) 32 Days
          c) 34 Days
          d) 36 Days

 9. Mamta earns Rs.540 for a working of 48 hours . If she was absent  for 6 hours, how much did she earn?
          a) 410
          b) 415.50
          c) 172.50
          d) 435.25

 10. A cyclist travels at 10 km/hr for 2 hours and at 13 km for 1 jhour. Find his average speed? __ km/hr
          a) 10.5 km
          b) 11 km
          c) 11.5 km
          d) 12 km

 11. With a speed of 48 km/hr, a train crosses a signal in 21 seconds. Find the length of the train.
          a) 125 m
          b) 240 m
          c) 280 m
          d) 295 m

 12. A car covered the first half of the journey at a speed of 50km/hr and then covered the remaining 150 km in 2 hours. Find its average speed.
          a) 60km/hr
          b) 55 km. hr
          c) 60.5 km/hr
          d) 61 km/hr

 13. The Price of an article increases from Rs. 960 to Rs. 1080.  Fidn the percentage increase in the price.
          a) 10 %
          b) 11 %
          c) 11.5 %
          d) 12.5 %

 14. On increase of the price of an article byu 16% it becomes Rs. 1479. what was its original price?
          a) Rs.1250
          b) Rs.1275
          c) Rs. 280
          d) Rs 1300

 15. By selling an artilce for Rs. 770, a man incurs a loss of Rs. 110. Find his loss percentage.
          a) 12.5 %
          b) 12 5
          c) 11. 5 %
          d) 11 %

 16. Find the Simple Interest on an investment of Rs. 400 invested at the rate of 7. 5 % for 3 years and 3 months.
          a) Rs. 4975
          b) Rs. 400
          c) Rs. 795
          d) Rs. 975
          e) None of the above

 17. What sum of money will yeild Rs. 170.10 as Simple Interest in 2 years and 3 month at 6% per annum?
          a) Rs.1200
          b) Rs.1250
          c) Rs.1260
          d) Rs.1280

 18. Calculate the compund interest on Rs. 6000 at 10 % per annum for two years.
          a) Rs. 1260
          b) Rs.1250
          c) Rs.1200
          d) Rs.1180

 19. What must be subtracted from  3a² -5ab - 2 b²
to get
5a² - 7ab - 3b²?
          a) -2a² +2ab+b² +3a-3
          b) -2a² -2ab+b² - 3a-3
          c) 2a² +2ab+b² - 3a-3
          d) -2a² +2ab+b² - 3a-3

 20. Divide 12x - 9y + 21 z by -3
          a) -4x +3y -7z
          b) 4x +3y -7z
          c) -4x -3y -7z
          d) -4x +3y +-7z

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