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RAMAKRISHNA MISSION , VILLUPURAM
MATHEMATICS FULL PORTION ONE MARK TEST 3
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1. If n{AXB} =6 and A = {1,3} then n(B) is
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1 point
2
1
6
3
2. Let f and g be two functions given by f = {(0 ,1),(2 ,0),(3 ,4),(4 ,2),(5 ,7)} g = {(0 ,2),(1 ,0),(2 ,4),(4 ,2),(7 ,0)} then the range of f o g is
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{0,1,2}
{0,2,3,4,5 }
{1,2,3,45 }
{-4,1,0,2,7 }
3. f(x) =(x+1)^3-(x-1)^3 represents a function which is
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• cubic
• linear
• quadratic
• reciprocal
4. 7^4K _____ (mod 100)
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2
3
4
1
5. An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is
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16 m
62 m
31 m
31/2 m
6.The next term of the sequence 3/16, 1/8, 1/12, 1/8 ….. is
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1/24 (2) 1/27 (3) 2/3 (4) 1/81
1/27
2/3
1/81
7. Find the following:
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2
3
1
4
8. A system of three linear equations in three variables is inconsistent if their planes
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do not intersect
intersect only at a point
intersect in a line
coincides with each other
9. Which of the following should be added to make x^4+64 a perfect square
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4x2
8x2
-8x2
16x2
10. choose the correct option
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Which of the above statements are correct?
(ii) and (iii) only
(iii) and (iv)
(i) and (ii) only
all of these
11. In △LMN, ∠L= 60°, ∠M= 50°.△LMN ∼△PQR then the value of ∠R is
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70°
40°
30°
110°
12. In the adjacent figure ∠BAC = 90° and AD ⊥ BC then
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BD . CD = AD^2
AB . AC = AD^2
BC . CD = BC^2
AB . AC = BC^2
13. In the given figure, PR = 26 cm, QR = 24 cm, ∠PAQ = 90°, PA = 6 cm and QA = 8 cm. Find ∠PQR
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80°
90°
85°
75°
14. If (5,7), (3,p) and (6,6) are collinear, then the value of p is
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3
6
12
9
15. The slope of the line which is perpendicular to a line joining the points (0,0) and (–8,8) is
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1
-1
1/3
-8
16. The equation of a line passing through the origin and perpendicular to the line 7x-3y+4 =0 is
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7x-3y+4=0
3x+7y=0
7x-3y=0
3x-7y+4=0
17. A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30° , then x is equal to
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43 m
41.92 m
45.6 m
43.92 m
18. The angle of depression of the top and bottom of 20 m tall building from the top of a multistoried building are 30° and 60° respectively. The height of the multistoried building and the distance between two buildings (in metres) is
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20, 10
30, 5√3
20, 10 √3
30, 10 √3
19. If (sinα+cosecα)^2+(cosα+secα)^2= k +tan^2α+cot^2α then the value of k is equal to
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3
7
9
5
20. The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be
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12 cm
10 cm
13 cm
5 cm
21. The total surface area of a hemi-sphere is how much times the square of its radius.
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π
4π
3π
2π
22. A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is
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3x cm
x cm
4x cm
2x cm
23. The sum of all deviations of the data from its mean is
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non-zero integer
always negative
Always positive
zero
24. A purse contains 10 notes of Rs.2000, 15 notes of Rs.500, and 25 notes of Rs.200. One note is drawn at random. What is the probability that the note is either a Rs.500 note or Rs. 200 note?
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4/5
1/5
3/10
2/3
25. The probability of getting a job for a person is x/3 . If the probability of not getting the job is 2/3 then the value of x is
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1 point
1.5
2
3
1
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