10 MOBILE NO : 986545111
ONE MARK - FIRST TEST TIME:10 MINUTES 1. If A B, then A B is a) B b) A/B c) A d) B/A. If the product of the first four consecutive terms of a G.P is 56 and if the common ratio is 4 and the first term is positive, then the 3 rd term is a) 8 b) 1 16 c) 1 3 3.If 1+ + 3+.. + n = k then 1 3 + 3 + 3 3 +.. + n 3 is equal to a)k b)k 3 c) k(k+1) d)(k+1) 3 4.The GCD of (x 3 +1) and x 4-1 is a) x 3-1 b) x 3 + 1 c) x + 1 d) x - 1 5.A quadratic equation whose one root is 3 is a) x - 6x 5 = 0 b) x + 6x 5 = 0 c) x - 5x 6 = 0 d) x - 5x + 6 = 0 6.If A and B are square matrices such that AB= I and BA = I, then B is a)unit matrix b) Null matrix c) Multiplicative inverse matrix of A d) -A 7.The midpoint of the line joining (a, -b) and ( 3a, 5b) is a) (- a, b ) b) ( a, 4b ) c) ( a, b ) d) ( -a, -3b ) 8. Slope of the straight line which is perpendicular to the straight line joining the points ( -, 6 ) and ( 4, 8 ) is equal to a) 1 b) 3 c) -3 d) 1 3 3 9.If the vertical stick 1m long casts a shadow 8m long on the ground and at the same time a tower casts a shadow 40m long on the ground, then the height of the tower is a) 40 m b) 50 m c) 75 m d) 60 m 10. In ABC is aright angled triangle where B = 90 and BD AC. If BD = 8cm, AD= 4cm, then CD is a) 4cm b)16cm c)3cm d)8cm 11.In the adjoining figure ABC = a)45 b)30 c) 60 d)50 1.(1 + cos )(1 - cos ) (1 + cos ) = a)tan - sec b) sin - cos c) sec - tan d) cos - sin d)16 13.If the height and the base area of aright circular cone are 5 cm and 48 sq.cm respectively, the volume of the cone is equal to a) 40 cm 3 b) 10 cm 3 c) 80 cm 3 d) 480 cm 3 then 14.Varinace of the first 11 natural numbers is a) 5 b) 10 c) 5 d)10 15.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) 1 3 b) 3 c)1 d)0
ONE MARK - SECOND TEST TIME:10 MINUTES 1.For any three sets A, B and C, A (B C) is a) (A B) (B C) b) (A B) (A C) c) (B/A)=(A/C) d) (A/B) (B/C).If the sequence a1, a,a3,..is in A.P., then the sequence is a) a G.P b)an A.P c)neither A.P nor G.P d)a constant sequence 3.If the n th term of an A.P is tn = 3-5n then the sum of the first n term is a) n [1-5n ] b) n[1-5n ] c) n [1+ 5n ] d) n [1+ n ] 4.A system of the two linear equations in two variables in two variables is inconsistent, if their graphs a)coincide b) intersect only at a point c)does not intersect at any point d)cut the x-axis 5.The common root of the equation x - bx +c = 0 and x - bx - a = 0 is a) c+a b b) c a b c) c+b a d) a+b c 6.If A is of order 3 X 4 and B is of order 4 X 3, then the order of BA is a) 3 X 3 b) 4 X 4 c) 4 X 3 d) not defined 7.If (1, ), (4, 6), ( x, 6 ), ( 3, ) are the vertices of a parallelogram taken in order, then the value of x is a) 6 b) c) 1 d) 3 8. The equation of the straight line parallel to y axis and passing through the point ( -,5 ) is a) x = 0 b) x + = 0 c) y + 5 = 0 d) y 5 = 0 9.The sides of two similar triangle are in the ratio : 3, then their areas are in the ratio a) 9:4 b)4:9 c) :3 d) 3: 10. The perimeter of two similar triangles ABC and DEF are 36cm and 4cm respectively. If DE = 10cm then AB is a) 1cm b)0cm c)15cm d)18cm 11.In the adjoining figure, AC = a)5m b)5 3m c) 5 d) 5 m 3 m 1.A man is 8.5m away from a tower. His eye level above the ground is 1.5m. The angle of elevation of the tower from his eye is 45. Then the height of the tower is a)30m b)7.5m c)8.5m d) 7m 13. Curved Surface Area of solid sphere is 4 cm. If the sphere is divided into two hemispheres, then the total surface area of cone of then hemisphere is a) 1cm b) 8cm c) 16cm d) 8cm 14.The range of first 10 prime numbers,3,5,7, 11, 13, 17, 19, 3, 9 is a) 8 b)6 c) 9 d)7 15.There are 6 defective items in a sample of 0 items. One item is drawn at random. The probability that it is a non defective item is a) 7 10 b) 0 c) 3 10 d) 3
ONE MARK - THIRD TEST TIME:10 MINUTES 1.If n(a) = 0, n(b) = 30, and n(a B) = 40, then n(a B) is equal to a) 50 b) 10 c) 40 d) 70.If a, b,c, I,m are in A.P, then the value of a -4b + 6c 4l + m is a) 1 b) c)3 d)0 3.If x,x +, 3x +3,. Are in G.P, then 5x, 10x +10, 15x + 15, form a) an A.P b)a G.P c)neither A.P nor G.P d)a constant sequence 4.The remainder when x x + 7 is divided by x +4 a)8 b) 9 c)30 d)31 5.The system of equations x 4y = 8, 3x 1y = 4 a) has infinitely many solutions b) has no solution c) has a unique solution d) may or may not have a solution 6.If A = ( ) is such that A a)1 + + = 0 b) 1 - + = 0 c) 1 - - = 0 d) 1 + - = 0 7.The angle of inclination of a straight line parallel to x axis is equal to a) 0 b) 60 c) 45 d) 90 8. The equation of the straight line having slope 3 and y intercept -4 is a) 3x y 4 = 0 b) 3x + y 4 = 0 c) 3x y + 4 = 0 d) 3x + y + 4 = 0 9.Triangle ABC and DEF are similar. If their area are 100 cm and 49 cm respectively and BC is 8. cm then EF a) 5.47cm b)5.74cm c) 6.47cm d) 6.74cm 10. A point P is 6cm 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) 36cm b)0cm c)18cm d)4cm 11. cos 4 x sin 4 x = a) sin x 1 b) cos x 1 c) 1 + sin x d) 1 cos x 1.In the adjoining figure, sin = 15 17. Then BC = a)85m b)65m c)95m d) 75m 13.The surface areas of the two spheres are in the ratio of 9:5. Then their volumes are in the ratio a) 81: 65 b) 79 : 1565 c) 7 : 75 d) 7 : 15 14.Mean and standard deviation of a data are 48 and 1 respectively. The coefficient of variation is a) 4 b)5 c) 30 d) 48 15.The probability that a student will score centum in mathematics is 4. The probability that he will 5 not score centum is a) 1 5 b) 5 c) 3 5 d) 4 5
ONE MARK - FOURTH TEST TIME:10 MINUTES 1.If { (x, ), (4, y ) } represents an identity function, then (x,y) is a) (,4) b) (4,) c) (,) d) (4,4). If a, b,c are in G.P, then a b b c is equal to a) a b b) b a c) b c d) c b 3.In a G.P, t = 3, and, 5 t3 = 1. Then the common ratio a) 1 b) 1 c)1 d)5 5 5 3 4.The sum of two zeros of the polynomial f(x) = x + (p + 3) x + 5 is zero, then the value of p a)3 b)4 c) - 3 d) - 4 5.The square root of x + y + z xy + yz -zx a) x + y z b) x y + z c) x + y + z d) x y z 6.If A X ( 1 1 ) = (1 ) then the order of A is a) X 1 b) x c) 1 X d) 3 X 0 7.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) (,1) b) (0,0) c) ( 5, ) d) (1, -) 3 8. The equation of the straight line having slope 3 and y intercept -4 is a) 3x y 4 = 0 b) 3x + y 4 = 0 c) 3x y + 4 = 0 d) 3x + y + 4 = 0 9.If the 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 DB b) AD AB c) DE BC d) AD EC 10. A point P is 6cm 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) 36cm b)0cm c)18cm d)4cm 11. sin (90 - ) cos + cos (90 - )sin = a)1 b) 0 c) d) -1 1. 9 tan - 9 sec = a)1 b)0 c)9 d) -9 13.Radius and height of aright circular cone and that of right circular cylinder are respectively, equal.if the volume of the cylinder is 10 cm 3, then the volume of the cone is equal to a) 100 cm 3 b) 360 cm 3 c) 40 cm 3 d) 90 cm 3 14.If the variance of 14, 18,, 6, 30 is 3,then the variance of 8, 36, 44, 5,60 is a) 64 b)18 c) 3 d) 3 15.Two dice are thrown once. The probability of getting a doublet a) 1 36 b) 1 3 c) 1 6 d) 3
ONE MARK - FIFTH TEST TIME:10 MINUTES 1.If A ={ 5,6,7}, B= {1,,3,4,5} and f: A B is defined by f(x) = x,then the range of is a){1,4,5} b){ 1,,3,4,5} c) {,3,4, } d) {3,4,5}. If a, b,c are in A.P, then a b is equal to a) a b c b sequence -3, -3, -3, is b) b c c) a c d) 1 3.The a) an A.P only b)a G.P only c)neither A.P nor G.P d)both A.P and G.P 4.The lowest form of the rational expression a) x 3 x+3 b) x+3 x 3 x + 5x + 6 c) x x 6 5.If b = a + c, then the equation ax + bx + c = 0 has a) a = c b) a = -c c) a = c d) a = -c x+ x 3 6. ( 1 0 b ) (a 0 1 c d ) = (1 0 ), then the matrix B = 0 1 a) -1,0,0,1 b)1,0,0,1 c)-1,0,1,0 d)1,0,0,0 7.Area of the triangle formed by the points (1,1),(0,1), (0,0) and (1,0) is a) 1 sq.units b) sq.units c) 4 sq.units d) 8 sq.units 8. The point of intersection of the straight lines y = 0 and x = -4 is a) ( 0, -4) b) (-4,0) c) (0,4) d) (4,0) 9.In the triangle ABC and DEF, B = E, C = F, then a) AB DE = CA EF b) BC EF = AB FD c) AB DE = BC EF is d) CA = AB FD EF 10.The perimeters of two similar triangles are 4cm and 18cm respectively. If one side of the first triangle is 8cm,then the corresponding side of the other triangle is a) 4cm b)3cm c)9cm d)6cm 11. ( 1 sin ) sec a) 0 b) 1 c) tan d) cos 1. (cos - 1) (cot + 1) + 1 = a)tan - sec b) sin -cos c)sec - tan d) cos - sin 13.Base area of right circular cylindrical cylinder is 80 cm.if its height is 5 cm, then the volume is equal to a) 400cm 3 b) 16cm 3 c) 00cm 3 d) 400 3 cm3 14.If t is the standard deviation of x,y,z, then the standard deviation of x +5, y + 5, z +5 is b) t + 5 c) t d) xyz a) t 3 15.The probability of sure event is a) 1 b) 0 c) 100 d) 0.1 d) x 3 x+
ONE MARK - SIXTH TEST TIME:10 MINUTES 1. Which one of the following is not true a) A B =A B b) A B = A B c)a B = (A B) B d)a B = (A B) B. In a GP, t = 3/5 and t3=1/5, then the common ratio is a)1/5 b)1/3 c)1 d)5 3. The sequence -5,-5,-5, is a) an A.P only b) a G.P only c) neither A.P nor G.P d) both A.P and G.P 4. The remainder when x -x+7 is divided by x+4 is a) 8 b)9 c) -3 d)-4 5. Let b=a+c then the equation ax +bx+c=0 has equal roots, if a) a=c b) a = -c c)a=c d)a = -c 6. If ( 8 4 X 8 ) = 4( 1 ),then the value of x is 1 a) 1 b) c) ¼ d) 4 7. Area of the triangle formed by the points are (0,0),(,0) and (0,) is a) 1 sq.units b)sq.units c)4 sq.units d) 8 sq.units 8. The value of k if the straight line 3x+6y+7=0 and x+ky=5 are perpendicular is a)1 b) -1 c) d)1/ 9. ABC and DEF are similar. If their area are 100 cm and 49 cm respectively and BC is 8. cm then EF = a)5.47cm b)5.74cm c)6.47cm d)6.74cm 10.In the joining figure, chord AB and CD interest at P. if AB = 16 cm, PD = 8 cm, PC=6 cm, and AP>PB, then AP = a)8cm b)4cm c)1cm d)6cm 11. if x=a secθ, y=btanθ, then the value of x - y = a b 1 b) -1 c) tan θ d) cosec θ 1. (1+cot θ - cosecθ) (1+tanθ+secθ) = a)1 b) c)3 d)5 13. If the surface area of a sphere is 36πcm, then the volume of the sphere is equal to a) 1πcm 3 b)36πcm 3 c)7πcm 3 d)108πcm 3 14. Variance of the first 11 natural numbers is a) 5 b) 10 c)5 d)10 15. 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 c) 3 a) 5 1 b) 4 1 d) 3 1 4
ONE MARK - SEVENTH TEST TIME:10 MINUTES 1.If n[p(a)]=64, then n (A) is a) 6 b) 8 c)4 d)5.if a,b,c are in G.P, then a b b c is equal to a) a b b) b a c) a c d) c b 3. In a t = 3 5 and t3=1 5. Then the common ratio is a) 1 5 b) 1 3 c) 1 d) 5 4.The remainder when x -x+7 is divided by x+4 is a) 8 b)9 c)30 d)31 5.The square root of 49 (x -xy+y ) is a) 7 x y b) 7(x+y) (x-y) c) 7(x+y) d) 7(x-y) 6.If A= ( γ β ) is such that A = I, then a) 1+ + βγ = 0 b) 1- + βγ = 0 c) 1- βγ = 0 d) 1+ βγ = 0 7.Area of the triangle formed by the points (0,0),(,0) and (0,) is a) 1 sq.units b) sq.units c) 4 sq.units d) 8 sq.units 8.The equation of a straight line passing through the point (,-7) and parallel to x- axis is a) x= b) x=-7 c)y=-7 d) y= 9.The sides of two similar triangles are in the ratio :3, then their areas in the ratio a)9:4 b) 4:9 c):3 d) 3: 10.The perimeter of two similar triangles ABC and DEF are 36cm and 4cm respectively. If DE=10 cm, then AB is a) 1cm b) 0cm c)15cm d)18cm 11. If x= a secθ, y= b tanθ, then the value of x a - y b = a) 1 b) -1 c) tan θ d) cosec θ 1.sin θ+ 1 = 1+tan θ a) cosec θ +cot θ b) cosec θ - cot θ c) cot θ - cosec θ d)sin θ-cos θ 13.If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio. a)1:8 b) :1 c)1: d) 8:1 14. The variance of 10,10,10,10,10 is a)10 b) 10 c)5 d) 0 15.Probability of sure event is a) 1 b) 0 c)100 d)0.1
ONE MARK - EIGHTH TEST TIME:10 MINUTE 1. Let A = 1,3,4,7,11 B = -1,1,,5,7,9 and f: A B be given by f = (1,-1) (3,) (4,1) (7,5) (11,9). Then f is. a) One-one b) Onto c) Bijective d) not a function. In a G.P, t =3/5 and t3 1/5. Then the common ratio is a) 1/5 b) 1/3 c) 1 d) 5 3. If a,b,c are in A.P. than a-b/b c is equal to a) a/b b) b/c c) a/c d) 1 4. Let b = a + c, then the equation ax +bx+c =0 has equal roots. if a) a=c b) a = -c c) a = c d) a = c 5. The LCM of a k, a k+3, a k+5 where K N is a) a K+9 b) a K c) a K+6 d) a K+5 6. It a matrix is of order x3, then the number of element in the matrix is a) 5 b) 6 c) d) 3 7. The Straight line 4x+3y-1=0 intersects the y- axis at a (3,0) b) (0,4) c) (3,4) d) (0,-4) 8. The Value of k if the straight lines 3x+6x7=0 and x+ky=5 are perpendicular is a) 1 b) -1 c) d) 1/ 9. In ABC, DE BC, meeting AB and AC at D and E If AD = 3cm, DB = cm and AE=.7cm, then Ac = a) 6.5cm b) 4.5cm c) 3.5cm d) 5.5cm 10.The Perimeter of two similar triangles ABC and DEF are 36cm and 4cm respectively. If DE = 10cm then AB is a) 1cm b) 0cm c) 15cm d) 18cm 11.(1-Sin ) Sec a) 0 b) 1 c) tan d) cos 1.9tan - 9 sec a) 1 b) 0 c) 9 d) -9 13.The total surface area of a solid hemisphere whose radius is a units, is equal to a) a sq. units b) 3 a sq. units c) 3 a sq. units d) 3a sq. units 14.For any Collection of n items, (x-x )= a) x b) x c) nx d) 0 15.The probability that a leap year will have 53 Fridays or 53 Saturday is a) /7 b) 1/7 c) 4/7 d) 3/7
ONE MARK TEST - IX TIME:10 MINUTE 1. If f = { (6, 3), (8, 9), (5, 3), ( 1, 6) }, then the pre-images of 3 are (a) 5 and 1 (b) 6 and 8 (c) 8 and 1 (d) 6 and 5. The common ratio of the G.P. a m-n, a m, a m+n is (a) a m (b) a m (c) a n (d) a -n 3. The 8 th term of the sequence 1, 1,, 3, 5, 8,. Is (a) 5 (b) 4 (c) 3 (d) 1 4. A quadratic equation whose one root is 3 is (a) x - 6x 5 = 0 (b) x + 6x 5 = 0 (c) x - 5x 6 = 0 (d) x - 5x + 6 = 0 5. A system of two linear equations in two variables is inconsistent, if their graphs (a) coincide (b) intersect only at a point (c) do not intersect at any point (d) cut the x-axis 6. Matrix A = [a ij ] m x n is a square matrix if (a) m <n (b) m >n (c) m = 1 (d) m = n 7. If a straight line y = x + k passes through the point (1, ), then the value of k is equal to (a) 0 (b) 4 (c) 5 (d) -3 8. The equation of a straight line parallel to y-axis and passing through the point (-, 5 ) is (a) x - = 0 (b) x + = 0 (c) y + 5 = 0 (d) y - 5 = 0 9. ABC is a right angled triangle where B = 90 0 and BD AC. If BD = 8 cm, AD = 4 cm, then CDis (a) 4 cm (b) 16 cm (c) 3 cm (d) 8 cm 10. The perimeter of two similar triangles ABC and DEF are 36 cm and 4 cm respectively. If DE = 10 cm, then AB is (a) 1 cm (b) 0 cm (c) 15 cm (d) 18 cm 11. cos 4 x - sin 4 x = (a) sin x -1 (b) cos x -1 (c) 1+sin x (d) 1- cos x 1. 9 tan θ - 9 sec θ = (a) 1 (b) 0 (c) 9 (d) 9 13. If the diameter and height of a right circular cone are 1 cm and 8 cm respectively, then the slant height is (a) 10 cm (b) 0 cm (c) 30 cm (d) 96 cm 14. Mean and standard deviation of a data are 48 and 1 respectively. The coefficient of variation is (a) 4 (b) 5 (c) 8 (d) 48 15. If P(A) = 0.5, P(B) = 0.50, P(A B) = 0.14 then P(neither A nor B) = (a) 0.39 (b) 0.5 (c) 0.11 (d) 0.4
ONE MARK TEST 11 TIME: 10 MINS. 1. Given f(x) = ( 1) x is a function from N to Z. Then the range of f is a) {1} b) N c) {1,-1} d) Z. The 8 th term of the sequence 1,1,,3,5,8,. is a) 5 b) 4 c) 3 d) 1 3. If k+,4k-6,3k- are the three consecutive terms of an A.P, then k is a) b) 3 c) 4 d) 5 4. The square root of x + y + z xy + yz zx is a) x + y z b) x y + z c) x + y + z d) x y z 5. If one zero of the polynomial p(x) = (k + 4)x + 13x + 3k is reciprocal of the other, then k is equal to a) b) 3 c) 4 d) 5 6. A is of order mxn and B is of order pxq, addition of A and B is possible only if a) m=p b) n=q c) n=p d) m=p,n=q 7. The slope of the straight line 7y x = 11 is equal to a) 7 b) 7 c) d) 7 7 8. The centroid of the triangle with vertices at (-,-5), (-,1) and (10,-1) is a) (6,6) b) (4,4) c) (3,3) d) (,) 9. If a vertical stick 1m long casts a shadow 8m long on the ground and at the same line a tower casts a shadow 40m long on the ground, the height of the tower is a) 40m b) 50m c) 75m d) 60m 10. The perimeter of two similar triangles Δ ABC and Δ DEF are 36cm and 4cm respectively. If DE = 10cm, then AB = a) 1 cm b) 0 cm c) 15 cm d) 18 cm 11. (1+tan θ)sin θ = a) sin θ b) cos θ c) tan θ d) cot θ 1. cos 4 x-sin 4 x = a) sin x-1 b) cos x-1 c) 1+sin x d) 1-cos x 13. If the surface area of a sphere is 100π cm, then its radius is equal to a) 5 cm b) 100 cm c) 5 cm d) 10 cm 14. The variance of 10,10,10,10,10 is a) 10 b) 10 c) 5 d) 0 15. If p is the probability of an event A, then p satisfies a) 0 < p < 1 b) 0 p 1 c) 0 p < 1 d) 0 < p 1
ONE MARK TEST 1 TIME : 10 MINS. 1. Given f(x) = (-1) x is a function from N to Z. Then the range of f is (A) { 1 } (B) N (C) {1, -1 } (D) Z. If the sequence a1, a, a3,.... is in A.P., then the sequence is (A) a G.P. (B) an A.P. (C)neither A.P. nor G.P. (D)a constant sequence 3. The common ratio of the G.P. a m-n,a m, a m+n is (A) a m (B) a -m (C) a n (D) a -n 4 The remainder when x -x+7 is divided by x+4 is (A) 8 (B) 9 (C) 30 (D) 31 5..A quadratic equation whose one root is 3 is (A) x -6x-5 (B) x +6x-5 (C) x -5x-6 (D) x -5x+6 6. If A is of order 3x4 and B is of order 4x3, then the order of BA is (A) 3x3 (B) 4x4 (C) 4x3 (D) not defined 7.The centroid of the triangle with vertices at (-,-5), (-,1) and (10,-1) is (A) (6,6) (B) (4,4) (C) (3,3) (D) (,) 8. The centre of a circle is (-6,4). If one end of the diameter of the circle is at (-,8),then the other end is at (A) (-8,1) (B) (-9,6) (C) (-3,) (D) (0,0) 9. In triangle ABC,DE is װ to BC, meeting AB and AC at D and E. If AD =3cm, DB=cm and AE=.7cm, then AC is equal to (A)6.5cm (B)4.5cm (C) 3.5cm (D)5.5cm 10..The sides of two similar triangles are in the ratio:3, then their areas are in the ratio (A) 9:4 (B)4:9 (C) :3 (D) 3: 11. Cos 4 x Sin 4 x = (A) Sin x-1 (B)Cos x-1 (C) 1+Sin x (D)1-Cos x 1.(Cos Ɵ-1)(Cot Ɵ+1) +1 = (A) 1 (B) -1 (C) (D) 0 13. If the volume of a sphere is 9/16 π cu.cm, then its radius is (A) 4/3cm (B)3/4cm (C)3/cm (D)/3 14.If the variance of a data is 1.5, then the S.D is (A) 3.5 (B) 3 (C).5 (D)3.5 15.The probability that a student will score centum in mathematics is 4/5. The probability that he will not score centum is (A) 1/5 (B)/5 (C) 3/5 (D)4/5
ONE MARK TEST 13 TIME : 10 MINS. 1. For any three sets A, B and C, B / (AUC) is (A) (A / B) (A / C) (B) (B / A) (A / C) (C) (B / A) (B / C) (D) (A / B) (B / C). The 9 th term of the G.P. 3, 6, 1, 4,. Is (A) 768 (B) 876 (C) 678 (D) 786 3. If the product of the first four consecutive terms of a G.P. is 56 and if the common ratio is 4 and the first term is positive, then its 3 rd term is (A) 8 (B) 16 (C) 5 (D) 10 4. The sum of two number is 6 and their difference is. The numbers are (A) 1,5 (B) 3,3 (C) 3,1 (D) 4,1 5. If the system 6x-y=3, kx-y= has a unique solution, then (A) k=3 (B) k=4 (C) k 3 (D) k 4 6. If A is of order 3 4 and is of order 4 3, then the order of BA is (A) 3 3 (B) 4 3 (C) 4 4 (D) Not defined 7. The x and y- intercept of the line x-3y+6=0, respectively are (A), 3 (B) (-3, ) (C) 3, (D) 3, - 8. If (5, 7), (3, a), (6, 6) are collinear, then the value of a is (A) 3 (B) 9 (C) 6 (D) 1 9. AB and CD are two chords of a circle which produced to meet at a point P such that AB= 5 cm, AP= 8 cm and CD= cm then PD= (A) 1 cm (B) 6 cm (C) 5 cm (D) 4 cm 10. In an equilateral triangle of side a, the length of altitude is (A) a (B) 3a (C) a (D) 4a 11. A man is 8.5 m away from a tower. His eye level above the ground is 1.5 m. Then the height of the tower is (A) 30 m (B) 8.5 m (C) 7.5 m (D) 7 m 1. If cot x= 1, then tan x + cot x = (A) 1 (B) (C) 0 (D) 6 13. The surface area of two spheres are in the ratio of 9:5. Then their volumes are in the ratio (A) 81 : 65 (B) 7 : 75 (C) 79 : 1565 (D) 7 : 15 14. Mean and standard deviation of a data are 48 and 1 respectively. The coefficient of variation is (A) 4 (B) 8 (C) 5 (D) 48 15. If S is the sample space of a random experiment, then P(S) = (A) 0 (B) 5 (C) (D) 1
ONE MARK TEST 14 TIME : 10 MINS. f ( x) 5 1. If x, then (a) 6 (b) 1 (c) 0 (d) -0 f ( 4). If a, b, c are in A.P then (a) a b (b) b c a b b c is equal to 3. If 1 3... n k then 1 3 3 3 3... n 3 is equal to 3 (a) k (b) k (c) (c) a c kk ( 1) (d) 1 (d) 3 ( k 1) 4. The remainder when x x 7 is divided by is (a) 8 (b) 9 (c) 30 (d) 31 5. The square root of 49( x xy y ) is (a) ( x y) (b) 7( x y)( x y) (c) 7( x y) x 4 (d) 7( x y) 6. If A is the order of 3 4 and B is the order of 4 3 then the order of BA is (a) 3 3 (b) 4 4 (c) 4 3 (d) not defined 7. The value of k if the straight lines 3x 6 y 7 0 and x ky 5 are perpendicular is (a) 1 (b) -1 (c) (d) 8. The straight line 4x 3y 1 = 0 intersects the y axis at (a) (3,0) (b) (0, 4) (c) (3, 4) (d) (0, -4) 9. The sides of two similar triangles are in the ratio :3 then their areas are in the ratio (a) 9 : 4 (b) 4 : 9 (c) : 3 (d) 3 : 10. In PQR, rs is the bisector of, if PQ = 6cm, QR = 8 cm, RP = 4cm then PS is equal (a) cm (b) 4cm (c) 3cm (d) 6cm 11. (1 tan )sin = R (a) sin (b) cos (c) tan (d) cot 1. 9 tan 9sec = (a) 1 (b) 0 (c) 9 (d) -9 13. If the radius of a sphere is cm then the curved surface area of the sphere is equal to (a) 8 cm (b) 16cm (c) 1 cm (d) 16 cm 14. Standard deviation of a collection of data is. If each value is multiplied by 3, then the standard deviation of the new data is (a) 1 (b) 4 (c) 6 (d) 9 15. Probability of sure event is (a) 1 (b) 0 (c) 100 (d) 0.1 1
ONE MARK TEST 15 TIME : 10 MINS. 1. If A={p,q,r,s}, B={r,s,t,u}, then A\B is (A) {p,q} (B) {t,u} (C) {r,s} (D) {p,q,r,s}. If the nth term of a sequence is 100 n+10, then the sequence is (A) an A.P. (B) a G.P (C) a constant sequence (D) neither A.P. nor G.P. 3. The 108 th term of the sequence 1, -1, 0, 1, -1, 0 is (A) 1 (B) 1 (C) 0 (D) 108 4. If ax + bx+ c = 0 has equal parts, then c is equal (A) b a (B) b 4a (C) b a (D) b 4a 5. (x-a) is a factor of p(x) if and only if (A) P(a)=P(x) (B) P(a) 0 (C) P(a)=0 (D) P(-a)=0 6. If A and B are square matrices such that AB=I and BA=I, then B is (A) Unit matrix (B) Null matrix (C)Multiplicative inverse of A (D) A 7. The centroid of the triangle with vertices at (-,-5), (-,1) and (10,-1) is (A) (6,6) (B) (4,4) (C) (3,3) (D) (,) 8. The angle of inclination of the line passing through the points (1,), and (,3) is (A) 30 (B) 45 (C) 60 (D) 90 9. The sides of two similar triangles are in the ratio :3, then their areas are in the ratio (A) 9:4 (B) 4:9 (C) :3 (D) 3: 10. In ABC a straight line DE ǁ, BCintersects AB at D and AC at E, then (A) AB AD = AC AE (B) AB AE = AC AD (C) AB EC = AC DB (D) AB =AC 11. (1 cos θ)(1 + cot θ) = (A) Sin θ (B) 0 (C) 1 (D) tan θ 1. In ABC, DE is to BC, meeting AB and AC at D and E. If AD = 3cm, DB = cm and AE =.7 cm, then AC is equal to (A) 6.5 cm (B) 4.5 cm (C) 3.5 cm (D) 5.5 cm 13. If the surface area of a sphere is 100π cm, then its radius is equal to (A) 5cm (B) 100cm (C) 5cm (D) 10cm 14. The variance 0f 10,10,10,10,10 is (A) 10 (B) 10 (C) 5 (D) 0 15. If A and B are two events such that P(A) = 0.5, P(B)= 0.05 and P(A Ո B) = 0.14, then P( A Ս B) = (A) 0.61 (B) 0.16 (C) 0.14 (D) 0.6