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
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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]
(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%
|
|
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5
|
8
|
|
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6
|
(i) mTrue ( ii) False (iii) False (iv) True
|
|
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7
|
(i)Rs. 44 and (ii)Rs. 176
|
|
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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)
|
|
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14
|
21
|
|
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15
|
4x2 + 9y2 +12xy
|
|
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16
|
11 cm
|
|
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17
|
15 cm
|
|
|
18
|
250
|
|
|
19
|
1 hours 6 min and 40 seconds
|
|
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20
|
X = 12
|
|
|
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Section II
|
|
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21
|
Now numbers are 44 and 110
|
|
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22
|
X = 100 degrees, z = 80 degrees, and y = 100 degrees
|
|
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2
|
|
|
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23
|
Pythagorean triplet whose
smallest number is 8
|
8, 15 and 17 answer
|
|
24
|
17% Gain
|
|
|
25
|
Rs. 2646
|
|
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26
|
2a2-ab – 3b2 + 4bc
|
|
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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
|
|
|
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Cakes and Pastries 80 degrees
|
|
|
|
Biscuits 60 degrees and others
20 degrees
|
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