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RAMAKRISHNA MISSION , VILLUPURAM
MATHEMATICS FULL PORTION ONE MARK TEST 4
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1. The range of the relation R= {(X:X ^2) | X is a prime number less than 13} is
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{4,9,25,49,121}
{1,4,9,25,49,121}
{2,3,5,7}
{2,3,5,7,11}
2. Let n(A) m = and n(B) = n then the total number of non-empty relations that can be defined from A to B is
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m^n
2^mn
2^mn-1
n^m
3. If g = {(1 ,1),(2 3,),(3 ,5),(4 ,7)} is a function given by g (x) = (αx+β ) then the values of α and β are
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(1,2)
(-1,2)
(-1,-2)
(2,-1)
4. Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
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0, 1, 8
1, 4, 8
0, 1, 3
1, 3, 5
5. If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is
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7
0
6
13
6. The value of (1^3 + 2^3 + 3^3 +…. + 15^3) - (1+2+3+….+15) is
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14400
14200
14280
14520
7. Which of the following can be calculated from the given matrices
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(i) A^2 (ii) B^2 (iii) AB (iv) BA
(ii) and (iii) only
(i) and (ii) only
(ii) and (iv) only
all of these
8. Find the following:
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4
3
1
2
9. The solution of (2x-1)^2= 9 is equal to
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-1 , 2
-1
2
None of these
10. Transpose of a column matrix is
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unit matrix
diagonal matrix
column matrix
row matrix
11. In a △ABC, AD is the bisector of ∠BAC . If AB = 8 cm, BD = 6 cm and DC = 3cm. The length of the side AC is
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3
4
6
8
12. A tangent is perpendicular to the radius at the
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chord
centre
point of contact
infinity
13. In figure if PR is tangent to the circle at P and O is the centre of the circle, then is ∠POQ
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90°
100°
110°
120°
14. When proving that a quadrilateral is a parallelogram by using slopes you must find
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The slopes of two pair of opposite sides
The slopes of two sides
The lengths of all sides
Both the lengths and slopes of two sides
15. The straight line given by the equation x = 11 is
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passing through the point (0,11)
parallel to X axis
parallel to Y axis
passing through the origin
16. (2, 1) is the point of intersection of two lines.
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x-y-3=0 ; 3x-y-7=0
3x+y=3 ; x+y = 7
x+y=3 ; 3x+y=7
x+3y-3=0 ; x-y-7=0
17. tanθ cosec^2θ - tanθ is equal to
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sec θ
cot2θ
sinθ
cotθ
18. Two persons are standing ‘x’ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is
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2x
x/2√2
√2 x
x/√2
19. The value of sin^2θ+1/(1+tan^2θ) is equal to
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1
cot^2θ
tan^2θ
0
20. The total surface area of a cylinder whose radius is 1/3 of its height is
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9 πh^2 / 8 sq.units
24 πh^2 sq.units
8 πh^2 / 9 sq.units
56 πh^2 / 9 sq.units
21. A frustum of a right circular cone is of height 16cm with radii of its ends as 8cm and 20cm. Then, the volume of the frustum is
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3228π cm^3
3240π cm^3
3340π cm^3
3328π cm^3
22. The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2 units. If h2 : h1 = 1 : 2 then r 2 : r 1 is
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1:2
2:1
1:3
3:1
23. The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is
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160000
30000
160900
40000
24. Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is 1/9 , then the umber of tickets bought by Kamalam is
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5
10
15
20
25. Which of the following is not a measure of dispersion?
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Range
Variance
Standard deviation
Arithmetic mean
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