RIMC Entrance Final Mock test May 21, 2016 Mathematics By Defence Academy Coimbatore www.sainikrimc.com

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RIMC Entrance Final Mock test May 21 2016 Mathematics
 

Section A -----20 x 3 = 60 marks

1. Solve ( 3/7) + (-6/ 11) + (8/11) + ( 5/11)
2. Find any three rational numbers between 3 and 4.
3. Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?
4. Convert the following ratios to percentages (i) 2 : 3  and ( ii) 3 : 4
5. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45 degree.
6. State whether True or False:-  (i) All Rhombuses are Parallelogram
(ii) All Parallelogram are Trapeziums.
(iii) All squares are not parallelograms.
(iv) All Squares are Trapeziums
7. The list price of a shirt is Rs.220.  A discount of 20% is announced on sales. ( i)What is the amount of discount on it and (ii) its sale Price?
8. How many numbers lie between the squares of the following numbers?
(i) 25 to 25
(ii) 99 and 100
9. Find the square Root of 6400 through prime factorization Method.
10. The internal measures of a cuboidal room are 12m x 8m x 4 m.  Find the total cost of white washing all the four walls of the room if the cost of white washing is Rs.5 per sq m.  
(ii) What will be the cost of white washing the Ceiling of the room is also white washed?

Section B (4 x 10 = 40 Marks)

11. Shyam bought an air cooler for Rs.3300, including tax of 10%. Find the price of the air cooler before VAT was added.
12. How many diagonal does each of the following have?
a) Convex Quadrilateral                (b) A regular Hexagon
13. Factorise:  x2 – 7x + 12
14. Simplify the expression 3y( 2y-7)-3(y-4)-63 for y =-2
15. Using the identity (I)  Find ( 2x +3y)2
16. Find the area of the quadrilateral PORS shown in the figure.
17. Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 sq                cm.
18 Evaluate:  (8-1 x 53) / 2-4  using law of exponent and powers.
19. Six pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only five pipes of the same type are used?
20. Solve  ( X/4  + X/6) = X – 7
21. The difference between two whole numbers is 66.  The ratio of the two numbers is 2 : 5. What are the two numbers?
22. In the figure, BEST is a parallelogram.  Find the values of Angles x,y and z.
23. Write a Pythagorean triplet whose smallest number is 8
24. A shopkeeper purchased 200 bulbs for Rs.10 each. However, 5 bulbs were fused. The remaining were sold at Rs.12 each. Find the gain % or Loss %.
25. Find the compound interest on Rs. 12,600 for 2 years at 10 % per annum compounded annually.
(sue formula CI = P [(1+r/100)2  - 1]
26. Simplify: ( a+ b )  ( 2a – 3b + c) – ( 2a – 3b) c.
27. A godown is in the form of a cuboid of measure 60 m x 40 m x 30 m.  How many cuboid boxes can be stored if the volume of one box is 0.8 cubic m?
28. A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.
29. Karan has a total of Rs. 590 as currency notes in the denominations of Rs.50, Rs.20 and Rs.10.  The Ratio of number of Rs.50 notes and Rs.20 notes is 3 : 5.  If he has a total of 25 notes, how many notes of each denomination does he have?
30. On a particular day, the sales in Rs.  Of different ites, of a baker’s shop mare given below. Draw a pie-chart for this data
a) Ordinary Bread  ---------320
b) Fruit Bread-----------------80
c) Cakes and Pastries-------160
d) Biscuits---------------------120
e) Other-----------------------  40

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Answer to RIMC Mock Test- 2016 May 21
Q.No
Answer

1
-          30/ 77

2
13/2, 7/2 and 15/ 4

3
45 and 27

4
(i)66.75% and (ii) 75%

5
8

6
(i) mTrue ( ii) False (iii) False (iv) True

7
(i)Rs. 44 and (ii)Rs. 176

8
(i) 51   (ii) 199

9
2 x 2 x 2 x 2 x 5 = 80

10
Cost of white washing the four walls Is. Rs.800
Walls + Ceiling is Rs.1280
11
Rs. 3000

12
a) Convex Quadrilateral has TWO diagonals
(b) A regular Hexagon has Three Diagonals
13
( x-4) (x-3)

14
21

15
4x2  + 9y2 +12xy

16
11 cm

17
15 cm

18
250

19
1 hours 6 min and 40 seconds

20
X = 12


Section II

21
Now numbers are 44 and 110

22
X = 100 degrees, z = 80 degrees, and y = 100 degrees

2


23
Pythagorean triplet  whose smallest number is 8
8, 15 and 17 answer
24
17% Gain

25
Rs. 2646

26
2a2-ab – 3b2 + 4bc

27
90,000

28
38.5 cubic cm

29
6 –Rs.50 Notes,  10 Rs.20 Notes, and 9 notes of Rs.10

30
Ordinary Bread 160 degrees


Fruit Bread 40 degrees


Cakes and Pastries 80 degrees


Biscuits 60 degrees  and others 20 degrees



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