Page 1
1 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10
th
,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
CELL: 99655 31727 , 94432 31727
ONE MARK TEST(OPTION CHANGED) -1 [PUBLIC REVISION 2019] 40X1=40
1. If n[ p(A)] = 64, then n(A) is (A) 5 (B) 6 (C) 8 (D) 4
2. For any two sets A and B, \ \A B B A A B is
(A) A B (B) (C) A B (D) A B
3. Let A = { 1, 3, 4, 7, 11 }, B = {–1, 1, 2, 5, 7, 9 } and :f A B be given by
f = { (1, –1), (3, 2), (4, 1), (7, 5), (11, 9) }. Then f is
(A) bijective (B) not a function (C) onto (D) one-one
4. If the range of a function is a singleton set, then it is
(A) a bijective function (B) an one-one function
(C) a constant function (D) an identity function
5. The next term of 1
20 in the sequence
1 1 1 1, , , ,.............
2 6 12 20 is
(A) 1
22 (B)
1
18 (C)
1
24 (D)
1
30 6. If the sequence a1 , a2 , a3 ,….. is in A.P. , then the sequence a5 , a10 , a15 ,….. is
(A) neither A.P nor G.P. (B) a constant sequence (C) an A.P. (D) a G.P.
7. If 0x , then 2 3 4 5
1 secx sec x sec x sec x sec x is equal to
(A) 2 4
1+ 1secx sec x sec x (B) 3 5
1 secx secx sec x sec x
(C) 3 4
1+ 1secx sec x sec x (D) 2 3 4
1+ secx sec x sec x sec x
8. If 1 2 3 . . . n k then 3 3 3 3
1 2 3 . . . n is equal to
(A) 3
( 1)k (B) 2
k (C) 3
k (D) ( 1)
2
k k
9. If one zero of the polynomial 2
( ) 4 13 3p x k x x k is reciprocal of the other,
then k is equal to (A) 5 (B) 4 (C) 3 (D) 2
10. The GCD of 3 3
( )x a and 4
1x is
(A) 1x (B)
3
1x (C)
3
1x (D) 1x
11. The square root of 22
2
49 2x xy y is
(A) 7 ( )(x y x y (B) 7 x y (C)
27 x y (D)
27 x y
12. Let b = a + c . Then the equation 2
0ax bx c has equal roots, if
(A) a = -c (B) a = c (C) a = -2c (D) a = 2c
13. If a matrix is of order 2 x 3, then the number of elements in the matrix is
(A) 6 (B) 5 (C) 3 (D) 2
14. A is of order m x n and B is of order p x q, addition of A and B is possible only if
(A) m = p, n = q (B) m = p (C) n = q (D) n = p
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2 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
15. If A
is such that A
2 = I then
(A)
2
1 0 (B)
2
1 0 (C)
2
1 0 (D) 2
1 0
16. 1 0 1 0
0 1 0 1
a b
c d
, then the values of a, b, c and d respectively are
(A) 1, 0, 0, 0 (B) -1,0,1,0 (C) 1, 0, 0, 1 (d) -1, 0, 0, - 1
17. If the line segment joining the points A (3, 4) and B(14,- 3) meets the x-axis at P, then the ratio in which
P divides the segment AB is (A) 4 : 1 (B) 2 : 3 (C) 3 : 4 (D) 4 : 3
18. Slope of the straight line which is perpendicular to the straight line joining the points
(-2, 6) and (4, 8) is equal to (A) -3 (B) 1
3 (C)
1
3 (D) 3
19. The equation of the straight line passing through the origin and perpendicular to the
straight line 2x + 3y - 7 = 0 is
(A) y + 5 = 0 (B) y - 5 = 0 (C) 2x + 3y = 0 (D) 3x - 2y = 0
20. If a straight line y = 2x + k passes through the point (1, 2), then the value of k is equal to
(A) -3 (B) 5 (C) 4 (D) 0
21. In PQR, RS is the bisector of R. If PQ = 6 cm,
QR = 8 cm, RP = 4 cm then PS is equal to
(A) 6 cm (B) 3 cm
(C) 4 cm (D) 2 cm
22. In the figure, the value x is equal to
(A) 0.8 (B) 0.4
(C) 4.2 (D) 3.2
23. From the given figure, identify the wrong statement.
(A) BDC ~ ABC (B) ADB ~ BDC
(C) ADB ~ ABC (D) ABD ~ ABC
24. The areas of two similar triangles are 16 cm2 and 36 cm
2 respectively. If the altitude of the first triangle is
3 cm, then the corresponding altitude of the other triangle is
(A) 6 cm (B) 6.5 cm (C) 4.5 cm (D) 4 cm
25. 4 4cos x sin x (A) 2cos
2x -1 (B) 2sin
2x-1 (C) 1-2cos
2x (D) 1+2sin
2x
26. sec
cot tan
(A) tan (B) – cot (C) cot (D) sin
27. 21 )(1 )(1( )tan sin sin
(A) 2 2sec tan (B) 0 (C)
2 2cos sin (D) 2 2sin cos
28. 2 2cos 1)(c 1( ot ) 1 (A) -1 (B) 1 (C) 0 (D) 2
29. If the total surface area a solid right circular cylinder is 200 cm2 and its radius is 5 cm, then the sum of
its height and radius is (A) 15 cm (B) 20 cm (C) 25 cm (D) 30 cm
30. If the diameter and height of a right circular cone are 12 cm and 8 cm respectively, then the slant height is
(A) 96 cm (B) 30 cm (C) 20 cm (D) 10 cm
31. If the radius of a sphere is 2 cm , then the curved surface area of the sphere is equal to
(A) 12 cm2 (B) 16 cm
2 (C) 8 cm
2 (D) 16 cm
2
32. If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the
ratio (A) 8 : 1 (B) 1 : 2 (C) 2: 1 (D) 1 : 8
33. For any collection of n items, (x - x ) = (A) x (B) x (C) 0 (D) n x
34. The variance of 10, 10, 10, 10, 10 is (A) 10 (B) 10 (C) 0 (D) 5
35. If the variance of 14, 18, 22, 26, 30 is 32, then the variance of 28, 36,44,52,60 is
(A) 128 (B) 32 (C) 64 (D) 32 2
36. Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is
(A) 48 (B) 28 (C) 25s (D) 42
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3 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
37. If is an impossible event, then P( ) = (A)0 (B)
1
2 (C) 1 (D)
1
4
38. If P(A) = 0.25, P(B) = 0.50, P(AB) = 0.14 then P(neither A nor B) =
(A) 0.24 (B) 0.11 (C) 0.39 (D) 0.25
39. A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king
card is (A) 4
13 (B)
8
13 (C)
2
13 (D)
11
13
40. The probability of selecting a queen of hearts when a card is drawn from a pack of 52 playing cards is
(A)
1
26 (B)
1
13 (C)
16
52 (D)
1
52
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10
th
,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
CELL: 99655 31727 , 94432 31727
ONE MARK TEST(OPTION CHANGED) -2 [PUBLIC REVISION 2019] 40X1=40
1. For two sets A and B, A B A if and only if
(A) A B (B) B A (C) A B (D) A B
2. For any two sets P and Q, P Q is
(A) { :x x P and x Q } (B) { :x x P or x Q }
(C) { :x x P and x Q } (D) { :x x P and x Q }
3. If f = { (6, 3), (8, 9), (5, 3), (–1, 6) }, then the pre-images of 3 are
(A) 6 and 5 (B) 5 and –8 (C) 1 and 6 (D) 8 and –1.
4. If :f A B is a bijective function and if n(A) = 5 , then n(B) is equal to
(A) 10 (B) 4 (C) 25 (D) 5
5. If 1 2 3, , ,......a a a are in A.P. such that , 4
7
3
2
a
a then the 13
th term of the A.P. is
(A) 0 (B) 3
2 (C) 14a1 (D) 12a1
6. If k+2, 4k–6, 3k–2 are the three consecutive terms of an A.P, then the value of k is
(A) 5 (B) 4 (C) 3 (D) 2
7. If a, b, c are in G.P, then a b
b c
is equal to (A)
a
c (B)
c
b (C)
b
a (D)
a
b
8. The common ratio of the G.P. am-n
, am
, am+n
is
(A) a-m
(B) am
(C) a-n
(D) an
9. If the system 6 – 2 3, – 2x y kx y has a unique solution, then
(A) 4k (B) 3k (C) 3k (D) 4k
10. A system of two linear equations in two variables is inconsistent, if their graphs
(A) cut the x-axis (B) do not intersect at any point (C) intersect only at a point (D) coincide
11. If a b
a b
and
3 3
3 3
a b
a b
are the two rational expressions, then their product is
(A)
2 2
2 2
a ab b
a ab b
(B)
2 2
2 2
a ab b
a ab b
(C)
2 2
2 2
a ab b
a ab b
(D)
2 2
2 2
a ab b
a ab b
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4 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
12. The common root of the equations 2
0x bx c and 2
0x bx a is
(A) 2
a b
c
(B)
2
c a
b
(C)
2
c a
b
(D)
2
c b
a
13. Matrix ij m nA a
is a square matrix if
(A) m = n (B) m < n (C) m > n (D) m = 1
14. If 8 4 2 1
48 1 2x
then the value of x is (A) 2 (B)
1
4 (C) 4 (D) 1
15. If 1 2
3 4A
and A + B = O, then B is
(A) 1 0
0 1
(B)
1 2
3 4
(C) 1 2
3 4
(D)
1 2
3 4
16. If 7 2
1 3A
and 1 0
2 4A B
, then the matrix B =
(A)
8 2
1 7
(B)
8 2
1 7
(C)
6 2
3 1
(D)
1 0
0 1
17. The point P which divides the line segment joining the points A (1,- 3) and B (-3, 9) internally in the
ratio 1:3 is (A) (0, 0) (B) (2,1) (C) (1,- 2) (D) 5
( , 2)3
18. If (1, 2), (4, 6), (x, 6) and (3, 2) are the vertices of a parallelogram taken in order, then the value of x is
(A) 2 (B) 1 (C) 3 (D) 6
19. The x and y-intercepts of the line 2x - 3y + 6 = 0, respectively are
(A) 3, -2 (B) -3, 2 (C) 3, 2 (D) 2, 3
20. If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of a is equal to
(A) 8 (B) - 4 (C) 4 (D) -8
21. The sides of two similar triangles are in the ratio 2:3, then their areas are in the ratio
(A) 2:3 (B) 3:2 (C) 4:9 (D) 9:4
22. AB and CD are two chords of a circle which when produced to meet at a point P
such that AB = 5 cm, AP = 8 cm, and CD = 2 cm then PD =
(A) 4 cm (B) 6 cm (C) 12 cm (D) 5 cm
23. In the figure, if PAB = 120 then BPT =
(A) 60 (B) 120
(C) 30 (D) 40
24. The perimeter of two similar triangles ABC and DEF are 36 cm and 24 cm respectively. If DE = 10
cm, then AB is (A) 20 cm (B) 12 cm (C) 18 cm (D) 15 cm
25. If x = a sec , y = b tan , then the value of
2 2
2 2
x y
a b
(A) -1 (B) 1 (C) cosec2 (D) tan
2
26. 90 sin 90 cos
tan c
( ) (
ot
)sin cos
(A) sin (B) -1 (C) 1 (D) tan
27. 21 cot )(1 cos )(1 c( os )
(A) 2 2sin cos (B)
2 2tan sec (C) 2 2cos sin (D)
2 2sec tan
28. 2 29 -9tan sec (A) 0 (B) 1 (C) - 9 (D) 9
29. If the circumference at the base of a right circular cone and the slant height are 120 cm and 10 cm
respectively, then the curved surface area of the cone is equal to
(A) 300 cm2 (B) 600 cm
2 (C) 1200 cm
2 (D) 600 cm
2
30. If the volume and the base area of a right circular cone are 48 cm3 and 12 cm
2 respectively, then the
height of the cone is equal to (A) 12 cm (B) 10 cm (C) 8 cm (D) 6 cm
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5 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
31. The surface areas of two spheres are in the ratio of 9 : 25. Then their volumes are in the ratio
(A) 729 : 15625 (B) 27 : 75 (C) 27 : 125. (D) 81 : 625
32. If the total surface area of a solid hemisphere is 12 cm2 then its curved surface area is equal to
(A) 36 cm2 (B) 8 cm
2 (C) 6 cm
2 (D) 24 cm
2.
33. Variance of the first 11 natural numbers is
(A) 5 2 (B) 10 (C) 5 (D) 10
34. If the variance of 14, 18, 22, 26, 30 is 32, then the variance of 28, 36,44,52,60 is
(A) 128 (B) 32 (C) 64 (D) 32 2
35. Given 2
( ) 48x x , 20x and n = 12. The coefficient of variation is
(A) 20 (B) 25 (C) 10 (D) 30
36. Standard deviation of a collection of data is 2 2 . If each value is multiplied by 3, then the standard
deviation of the new data is
(A) 6 2 (B) 9 2 (C) 12 (D)
4 2 37. If A and B are two events such that P(A) = 0.25, P(B) = 0.05 and P(AB) = 0.14, then
P(A B) = (A) 0.6 (B) 0.14 (C) 0.61 (D) 0.16
38. The probability that a non-leap year will have 53 Sundays and 53 Mondays is
(A) 0 (B) 1
7 (C)
2
7 (D)
3
7
39. The probability of selecting a queen of hearts when a card is drawn from a pack of 52 playing cards is
(A)
1
26 (B)
1
13 (C)
16
52 (D)
1
52
40. Probability of sure event is (A) 100 (B) 1 (C) 0.1 (D) 0
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10
th
,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
CELL: 99655 31727 , 94432 31727
ONE MARK TEST(OPTION CHANGED) -3 [PUBLIC REVISION 2019] 40X1=40
1. If A= { p, q, r, s }, B = { r, s, t, u }, then A\B is
(A) {p, q, r, s } (B) { p, q } (C) { t, u } (D) { r, s }
2. Which one of the following is not true ?
(A) \A B A B (B) \ \A B A B B (C) \A B A B (D) \ A B A B B
3. If { (7, 11), (5, a) } represents a constant function, then the value of ‘a’ is
(A) 11 (B) 5 (C) 9 (D) 7
4. The given diagram represents
(A) an one-one function (B) not a function
(C) an onto function (D) a constant function
5. Which one of the following is not true?
(A) A sequence may have a finite number of terms.
(B) A sequence is a real valued function defined on N
(C) Every function represents a sequence.
(D) A sequence may have infinitely many terms.
6. If a, b, c, l, m, n are in A.P., then 3a+7, 3b+7, 3c+7, 3l+7, 3m+7, 3n+7 form
(A) neither A.P. nor G.P (B) a G.P. (C) an A.P. (D) a constant sequence
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Page 6
6 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
7. In a G.P, 2
3
5t and
3
1
5t . Then the common ratio is
(A)
1
3 (B) 5 (C)
1
5 (D)1
8. The sequence –3, –3, –3,………….. is
(A) both A.P. and G.P. (B) neither A.P. nor G.P (C) a G.P. only (D) an A.P. only
9. The system of equations – 4 8,3 –12 24x y x y
(A) has a unique solution (B) may or may not have a solution.
(C) has infinitely many solutions (D) has no solution
10. The square root of 2 2 2
+ + 2 2 2x y z xy yz zx
(A)
x y z (B)
x y z (C) –x y z (D) x y z
11. If 2
0ax bx c has equal roots, then c is equal
(A)
2
4
b
a (B)
2
2
b
a (C)
2
4
b
a (D)
2
2
b
a
12. A quadratic equation whose one root is 3 is
(A)
2
5 6 0x x (B) 2
6 5 0x x (C) 2
6 5 0x x (D) 2
5 6 0x x
13. If 1 2 3A and 1
2
3
B
then A + B
(A) 0
0
0
(B) not defined (C) 0 0 0 (D) 14
14. If 1 2 2
2 1 4
x
y
, then the values of x and y respectively, are
(A) 1 , 1 (B) 2 , 0 (C) 0 , 2 (D) 0 , -2
15. If 4 2
6 3A
, then A
2 is
(A)
4 2
6 3
(B)
4 2
6 3
(C)
16 4
36 9
(D) 8 4
12 6
16. If 2 2ijA a
and ija i j then A =
(A) 2 3
4 5
(B)
4 5
6 7
(C)
1 2
3 4
(D) 2 3
3 4
17. Area of the triangle formed by the points (0,0), (2, 0) and (0, 2) is
(A) 4 sq. units (B) 8 sq. units (C) 2 sq. units (D)1 sq. units
18. The straight line 4 3 12 0x y intersects the y- axis at
(A) (3, 4) (B) (0, - 4) (C) (3, 0) (D) (0, 4)
19. The centre of a circle is (-6, 4). If one end of the diameter of the circle is at (-12, 8), then the other end is
at (A) (0, 0) (B) (-18, 12) (C) (-9, 6) (D) (-3, 2)
20. The value of k if the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular is
(A) -1 (B) 1 (C) 1
2 (D) 2
21. If a straight line intersects the sides AB and AC of a ABC at D and E respectively and is parallel to BC,
then AE
AC
(A) AD
EC (B)
DE
BC (C)
AD
AB (D)
AD
DB
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7 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
22. If a vertical stick 12 m long casts a shadow 8 m long on the ground and at the same time a tower casts a
shadow 40 m long on the ground, then the height of the tower is
(A) 50 m (B) 75 m (C) 60 m (D) 40 m
23. A point P is 26 cm away from the centre O of a circle and PT is the tangent drawn from P to the circle is
10 cm, then OT is equal to
(A)20 cm (B) 36 cm (C) 24 cm (D) 18 cm
24. If the tangents PA and PB from an external point P to circle with centre O are inclined to each other at an
angle of 40 , then POA =
(A) 50 (B) 60 (C) 70 (D) 80
25.
2sin1
1 cos
(A) tan (B) cot (C) cosec (D) cos
26. If tana
x , then the value of
2
2 2
x
a x = (A) sin (B) cos (C) sec (D) cosec
27.
2
2
1
1 cot
tan
(A) tan
2 (B) sin2 (C) cot
2 (D) cos2
28. 2
2
1
1 tansin
(A) 2 2cos cotec (B)
2 2cot cosec (C) 2 2sin cos (D)
2 2cos cotec 29. The curved surface area of a right circular cylinder of radius 1 cm and height 1 cm is equal to
(A) 2 cm2 (B) 3 cm
2 (C) cm
3 (D) 2 cm
2
30. If the total surface area a solid right circular cylinder is 200 cm2 and its radius is 5 cm, then the sum of
its height and radius is (A) 15 cm (B) 20 cm (C) 25 cm (D) 30 cm
31. Radius and height of a right circular cone and that of a right circular cylinder are respectively, equal. If the
volume of the cylinder is 120 cm3, then the volume of the cone is equal to
A) 40 cm3
(B) 1200 cm3
(C) 90 cm3 (D) 360 cm
3
32. Two right circular cones have equal radii. If their slant heights are in the ratio 4 : 3, then their respective
curved surface areas are in the ratio (A) 4 : 3 (B) 16 : 9 (C) 2 : 3 (D) 3 : 4
33. The range of the first 10 prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23 , 29 is
(A) 26 (B) 27 (C) 28 (D) 29
34. For any collection of n items, (x - x ) = (A) x (B) x (C) 0 (D) n x
35. For any collection of n items, ( x) - x =
(A) (n - 2) x (B) (n - 1) x (C) n x (D) 0
36. The variance of 10, 10, 10, 10, 10 is (A) 10 (B) 10 (C) 0 (D) 5
37. If S is the sample space of a random experiment, then P(S) =
(A) 1 (B) 1
2 (C)
1
8 (D) 0
38. If A and B are two events such that P(A) = 0.25, P(B) = 0.05 and P(AB) = 0.14, then
P(A B) = (A) 0.6 (B) 0.14 (C) 0.61 (D) 0.16
39. If A and B are mutually exclusive events and S is the sample space such that P(A)= 1
3 P(B) and
S = A B, then P(A) =
(A) 3
4 (B)
3
8 (C)
1
4 (D)
1
2
40. The probability that a leap year will have 53 Fridays or 53 Saturdays is
(A)
3
7 (B)
2
7 (C)
1
7 (D)
4
7
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Page 8
8 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10
th
,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
CELL: 99655 31727 , 94432 31727
ONE MARK TEST(OPTION CHANGED) - 4 [PUBLIC REVISION 2019] 40X1=40
1. If A B , then A B is
(A) B\A (B) B (C) A\B (D) A
2. For any three sets A, B and C, ( )A B C is
(A) ( )A B C (B) ( ) ( )A B B C (C) ( ) ( )A B A C (D) ( ) ( )A B B C
3. If ,2 , 4 { ( ) , }x y represents an identity function, then ,x y is
(A) (4, 4) (B) (2, 2) (C) (2, 4) (D) (4, 2)
4. If A = { 5, 6, 7 }, B = { 1, 2, 3, 4, 5 } and :f A B is defined by 2f x x , then the range of f is
(A) { 2, 3, 4 } (B) { 1, 4, 5 } (C) { 3, 4, 5 } (D) { 1, 2, 3, 4, 5 }
5. The 8th term of the sequence 1, 1, 2, 3, 5, 8, ............ is
(A) 24 (B) 25 (C) 21 (D) 23
6. If a, b, c are in A.P. then a b
b c
is equal to (A) 1 (B)
a
b (C)
b
c (D)
a
c
7. If , 2 2, 3 3x x x are in G.P, then 5 , 10 10, 15 15x x x form
(A) a constant sequence (B) neither A.P. nor a G.P. (C) a G.P. (D) an A.P.
8. If the nth
term of an A.P. is tn= 3-5n , then the sum of the first n terms is
(A)
(1 5 )2
nn (B) [1 5 ]
2
nn (C)
(1 )
2
nn (D) (1 5 )n n
9. The sum of two zeros of the polynomial 2
( ) 2 3 5f x x p x is zero, then the value of p is
(A) -3 (B) -4 (C) 3 (D) 4
10. The remainder when 2
2 7 x x is divided by 4x is
(A) 29 (B) 28 (C) 31 (D) 30
11. The square root of 4 8 26
121x y z l m is
(A)
2 4 3
11 ( )x y z l m (B) 2 4 4
11x y z l m (C) 4 4 3
11 ( )x y z l m (D) 2 4 6
11x y z l m
12. If and are the roots of 2
0ax bx c , then one of the quadratic equations whose roots are
1
and
1
is
(A) 2
0cx ax b (B) 2
0cx bx a (C)
2
0bx ax c (D) 2
0ax bx c
13. Which one of the following statements is not true?
(A) A diagonal matrix is a scalar matrix. (B) A scalar matrix is a diagonal matrix
(C) A scalar matrix is a square matrix (D) A diagonal matrix is a square matrix
14. If A and B are square matrices such that AB = I and BA = I , then B is
(A) Null matrix (B) Unit matrix
(C) –A (D) Multiplicative inverse matrix of A
15. If 3 2 5
1 2 1 0
a
, then the value of a is
(A) 2 (B) 11 (C) 8 (D) 4
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Page 9
9 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
16. If
2
5 1 1 20
3
x
, then the value of x is (A) -7 (B) 7 (C) 0 (D) 1
7
17. The midpoint of the line joining (a , - b) and (3a, 5b) is
(A) (-a,- 3b) (B) (2a, 2b) (C) (2a, 4b) (D) (-a, 2b)
18. Area of the quadrilateral formed by the points (1,1), (0,1), (0, 0) and (1, 0) is
(A) 2 sq. units (B) 4 sq. units (C) 1 sq. units (D) 3 sq. units
19. The point of intersection of the straight lines 9 2 0x y and 2 9 0x y is
(A) (-1,- 7) (B) (-1, 7) (C) (7,1) (D) (1, 7)
20. The equation of a straight line parallel to y-axis and passing through the point (-2, 5) is
(A) x + 2 = 0 (B) x - 2 = 0 (C) y - 5 = 0 (D) y + 5 = 0
21. In ABC, DE is ║ to BC, meeting AB and AC at D and E. If AD = 3 cm, DB = 2 cm and AE = 2.7 cm ,
then AC is equal to (A) 5.5 cm (B) 3.5 cm (C) 6.5 cm (D) 4.5 cm
22. In triangles ABC and DEF, B =E, C =F, then
(A) AB BC
DE EF (B)
CA AB
FD EF (C)
AB CA
DE EF (D)
BC AB
EF FD
23. In the adjoining figure, chords AB and CD intersect at P.
If AB = 16 cm, PD = 8 cm, PC = 6 and AP >PB, then AP =
(A) 12 cm (B) 6 cm
(C) 4 cm (D) 8 cm
24. In the figure, PA and PB are tangents to the circle drawn from
an external point P. Also CD is a tangent to the circle at Q.
If PA = 8 cm and CQ = 3 cm, then PC is equal to
(A) 38 cm (B) 11 cm
(C) 5 cm (D) 24 cm
25. 2 2(1 cos )(1 cos ) (A) tan
2 (B1 (C) 0 (D) sin2
26. sin(90 - ) cos + cos (90 - ) sin =
(A) -1 (B) 2 (C) 1 (D) 0
27. In the adjoining figure ABC =
(A) 50 (B) 60
(C) 30 (D) 45
28. In the adjoining figure, 15
sin17
. Then BC =
(A) 65 m (B) 75 m
(C) 85 m (D) 95 m
29. Base area of a right circular cylinder is 80 cm2 . If its height is 5 cm, then the volume, is equal to
(A) 200 cm3 (B)
400
3 cm
3 (C) 400 cm
3 (D) 16cm
3
30. If the height and the base area of a right circular cone are 5 cm and 48 sq. cm respectively, then the volume
of the cone is equal to
(A) 120 cm3 (B) 240 cm
3 (C) 480 cm
3 (D) 80 cm
3
31. If the surface area of a sphere is 100 cm2, then its radius is equal to
(A) 5 cm (B) 10 cm (C) 25 cm (D) 100 cm .
32. If the surface area of a sphere is 36 cm2, then the volume of the sphere is equal to
(A) 72 cm3 (B) 108 cm
3. (C) 12 cm
3 (D) 36 cm
3
33. The greatest value of a collection of data is 72 and the least value is 28.Then the coefficient of range is
(A) 0.44 (B) 0.28 (C) 44 (D) 0.72
34. If the variance of a data is 12.25, then the S.D is
(A) 3 (B) 2.5 (C) 3.25 (D) 3.5
35. Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is
(A) 48 (B) 28 (C) 25 (D) 42
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Page 10
10 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
36. For a collection of 11 items, x = 132, then the arithmetic mean is
(A) 14 (B) 13 (C) 12 (D) 11
37. If S is the sample space of a random experiment, then P(S) =
(A) 1 (B) 1
2 (C)
1
8 (D) 0
38. There are 6 defective items in a sample of 20 items. One item is drawn at random.
The probability that it is a non-defective item is
(A)
3
10 (B)
7
10 (C)
2
3 (D) 0
39. A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected
at random, the probability that it is not red is
(A)
4
12 (B)
5
12 (C)
3
4 (D)
3
12
40. The outcome of a random experiment results in either success or failure. If the
probability of success is twice the probability of failure, then the probability of success is
(A) 0 (B)
1
3 (C)
2
3 (D) 1
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10
th
,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
CELL: 99655 31727 , 94432 31727
ONE MARK TEST(OPTION CHANGED) -5 [PUBLIC REVISION 2019] 42X1=42
1. For any three sets A, B and C, \ ( )B A C is
(A) ( \ ) ( \ )A B B C (B) ( \ ) ( \ )A B A C (C) ( \ ) ( \ )B A B C (D) ( \ ) ( \ )B A A C
2. If n(A) = 20 , n(B) = 30 and 40n A B , then n A B is equal to
(A) 10 (B) 40 (C) 70 (D) 50
3. Given ( 1)xf x is a function from N to Z . Then the range of f is
(A) N (B) { 1, – 1 } (C) Z (D) { 1}
4. If 2 5f x x , then 4f
(A) 20 (B) 26 (C) -20 (D) –21
5. If a, b, c, l, m are in A.P, then the value of a - 4b + 6c - 4l + m is
(A) 3 (B) 1 (C) 0 (D) 2
6. If the nth term of a sequence is 100 n +10, then the sequence is
(A) a constant sequence (B) neither A.P. nor G.P. (C) an A.P. (D) a G.P.
7. If the third term of a G.P is 2, then the product of first 5 terms is
(A) 15 (B) 10 (C) 52 (D) 25
8. If the product of the first four consecutive terms of a G.P is 256 and if the common
ratio is 4 and the first term is positive, then its 3rd
term is
(A) 1
32 (B) 16 (C) 8 (D)
1
16
9. A system of two linear equations in two variables is inconsistent, if their graphs
(A) cut the x-axis (B) do not intersect at any point (C) intersect only at a point (D) coincide
10. The quotient when 3 2
5 7 4x x x is divided by –1x is
(A) 2
4 3x x (B) 2
4 3x x (C) 2
4 3x x (D)
2
4 3x x
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Page 11
11 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
11. The LCM of 3 5
, ,k k k
a a a
where k N is (A)
9k
a
(B) 5k
a
(C) k
a (D) 6k
a
12. If , are the roots of 2
0 ax bx c , 0a then the wrong statement is
(A)
b
a (B)
1 1 b
c (C)
22 2
2
2b ac
a
(D)
c
a
13. If 3 7 5 1 2
1 2 3 8 8
x y
y x
then the values of x and y respectively are
(A) 2 , –7 (B) 1
3
,
2
3
(C) –2 , 7 (D)
1
3
, 7
14. If A is of order 3 x 4 and B is of order 4 x 3, then the order of BA is
(A) not defined (B) 4 x 3 (C) 3 x 3 (D) 4 x 4
15. If 1 1
1 20 2
A
, then the order of A is
(A) 1 x 2 (B) 2 x 1 (C) 3 x 2 (D) 2 x 2
16. Which one of the following is true for any two square matrices A and B of same
order?.
(A) ( )T T T
AB B A (B) ( )T T T
AB A B (C) ( )T T T T
A B A B (D) ( )T
AB BA
17. The centroid of the triangle with vertices at (-2,- 5), (-2,12) and (10, - 1) is
(A) (2, 2) (B) (6, 6) (C) (4, 4) (D) (3, 3)
18. Area of the quadrilateral formed by the points (1,1), (0,1), (0, 0) and (1, 0) is
(A) 2 sq. units (B) 4 sq. units (C) 1 sq. units (D) 3 sq. units
19. The angle of inclination of a straight line parallel to x-axis is equal to
(A) 60 (B) 90 (C) 0 (D) 45
20. The slope of the straight line 7 2 11y x is equal to
(A) 2
7 (B)
7
2 (C)
7
2 (D)
2
7
21. The equation of a straight line passing through the point (2 , –7) and parallel to
x - axis is
(A) y = 2 (B) x = 2 (C) x = - 7 (D) y = - 7
22. In figure, if AB BD
AC DC , B = 40 ,
and C = 60 , then BAD =
(A) 40 (B) 80 (C) 30 (D) 50
23. Triangles ABC and DEF are similar. If their areas are 100 cm2 and 49 cm
2 respectively
and BC is 8.2 cm then EF =
(A) 6.47 cm (B) 6.74 cm (C) 5.47 cm (D) 5.74 cm
24. The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one
side of the first triangle is 8 cm, then the corresponding side of the other triangle is
(A) 9 cm (B) 6 cm (C) 4 cm (D) 3 cm
25. ABC is a right angled triangle where B = 90 and BD = AC. If BD = 8 cm,
AD = 4 cm, then CD is
(A) 8 cm (B) 24 cm (C) 16 cm (D) 32 cm
26. 2 2(1 sin )sec
(A) cos2 (B) tan
2 (C) 0 (D) 1
27. 2 2(1 ) tan sin
(A) cos2 (B) sin
2 (C) cot2 (D) tan
2
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Page 12
12 SHRI KRISHNA ACADEMY - NAMAKKAL - 99655 31727
28. In the adjoining figure, AC =
(A)
25
3m (B) 25 2 m
(C) 25 3 m
(D) 25 m
29. A man is 28.5 m away from a tower. His eye level above the ground is 1.5 m. The angle of elevation of the
tower from his eyes is 45 . Then the height of the tower is
(A) 30 m (B) 27.5 m (C) 28.5 m (D) 27 m
30. The total surface area of a solid right circular cylinder whose radius is half of its height h is equal to
(A)
2
3h sq.units (B)
3
2h sq. units (C)
22
3h sq. units
(D)
23
2h sq.units
31. The curved surface area of a right circular cylinder whose radius is a units and height is b units, is equal to
(A) 2sq.cm (B) a
2b sq.cm (C) 2 ab sq.cm (D) 2 sq.cm
32. The total surface area of a solid hemisphere of diameter 2 cm is equal to
(A) 12 cm2 (B) 12 cm
2 (C) 3 cm
2 (D)4 cm
2.
33. If the volume of a sphere is 9
16 cu.cm, then its radius is
(A) 3
4cm (B)
4
3cm (C)
2
3cm (D)
3
2 cm.
34. The total surface area of a solid hemisphere whose radius is a units, is equal to
(A) 3 a2 sq.units (B) 2 a
2 sq.units (C) 3a
2 sq.units (D) 3 a sq.units.
35. The least value in a collection of data is 14.1. If the range of the collection is 28.4, then the greatest value
of the collection is (A) 43.5 (B) 42.5 (C) 42.1 (D) 42.4
36. For a collection of 11 items, x = 132, then the arithmetic mean is
(A) 14 (B) 13 (C) 12 (D) 11
37. If t is the standard deviation of x, y. z, then the standard deviation of x+5, y+5, z+5 is
(A) t + 5 (B) t (C) x y z (D) 3
t
38. Standard deviation of a collection of data is 2 2 . If each value is multiplied by 3, then the standard
deviation of the new data is (A) 6 2 (B) 9 2 (C) 12 (D)
4 2
39. Let A and B be any two events and S be the corresponding sample space. Then ( )P A B
(A) P(AB) - P(B) (B) P(B) - P(AB) (C) [( ) ]P A B (D) P(S)
40. The probability that a student will score centum in mathematics is 4
5 . The probability that he will not
score centum is (A)
2
5 (B)
1
5 (C)
4
5 (D)
3
5
41. The probabilities of three mutually exclusive events A, B and C are given by 1
3,
1
4 and
5
12 . Then
( )P A B C is (A) 1 (B) 7
12 (C)
11
12 (D)
19
12
42. Two dice are thrown simultaneously. The probability of getting a doublet is
(A)
1
6 (B)
2
3 (C)
1
36 (D)
1
3
Department of Mathematics
SHRI KRISHNA ACADEMY NEET,JEE & BOARD EXAM(10th,+1,+2) COACHING CENTRE
SBM SCHOOL CAMPUS, TRICHY MAIN ROAD,NAMAKKAL
For MORE QUESTIONS 99655 31727 , 99768 73243
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