LEADERS COACHING CENT LEADERS

LEADERS COACHING CENTRE

(A Name Of Quality Education)

MCQ’s TEST OF X MATHS

1. Which one is subset of N:
a) Z b) Q c) E d) P
2. Tabular form of A = {x | x∈ 𝒁 ∧ 𝒙𝟐 = 𝟐𝟓} is_____________
𝑎) {1,5} b) {-5, 5} c) {1, 5, 25} d) {-5}
3. For two sets A and B, if O (A) = O (B) then
a) A⊆ B b) B = A d) A B d) A⊂B
4. {𝒙|𝒙 ∈ 𝑵 ∧ 𝒙 < 𝟏} is ________
a) Singleton b) Infinite set c) Empty set d) superset
5. If A = {1,2,3,4} and B = {2,4,6} then A∆B = _______.
a) {1,2} b) {6} c) {1,3} d) {1,3,6}
6. Which operation is not commutative
a) Systematic b) Union c) Difference d) Intersection
7. {𝒙|𝒙 ∈ 𝑷⋁𝒙 ∈ 𝑸} = ________
a) 𝑃 ∩ 𝑄 b) 𝑃 ∪ 𝑄 c) P - Q d) P∆Q
8. {𝒙|𝒙 ∈ 𝑼⋀𝒙 ∉ 𝑨 ∩ 𝑩} = ________
𝑎) 𝐴 ∩ 𝐵 𝑏) (𝐴 ∪ 𝐵)` 𝑐) (𝐴 ∩ 𝐵)` 𝑑) 𝐴` ∩ 𝐵`
9. For any two non-empty set A and B, if A∪B = U and A∩B = ∅ then A and B are ______________.
(a) Cells b) Equal c) Overlapping sets d) None
10. (𝑨`)` ` =___________.
(a) (A`)` b) A` (c) A d) B
11. If A ⊇ B then A∪B= _______
a) A b) B c) ∅ d) U
12. In Venn diagram, ___________ is used to represent universal set.
a) rectangle b) circle c) oval d) all of these
13. If (x,6) = (2,y-6) then x + y = __________.
a) 8 b) 15 c) 20 d) 25
14. A function is called surjective if range _________ co-domain:
(a) ⊇ (b) = (c) ⊂ (d) all of these
15. A function is called surjective if range _________ co-domain:
(a) ⊇ (b) = (c) ⊂ (d) all of these
16. Which one of function
(a) {(2,5),(2,7),(3,8)} b) {(6,7),(7,6),(6,8)} (c) {(0,5),(6,0),(5,6)} d) none of these
17. Which one is always bijective .
a) one function b) One-one function c) Into function d) One-one correspondence
18. If 𝑭 ∶ 𝑵 → 𝑹 then which one is not possible.
a) f (5) = 6 b) f (7) = 8 c) f (-2) = 6 d) f (9) = 0
19. Which one is commutative
a) Difference b) Union c) Cartesian product d) None
20. In a proportional 𝒑 ∶ 𝒒 ∷ 𝒓 ∶ 𝒔, p is called:
a) third proportional b) mean c) fourth proportional d) first proportional
21. In a ratio 𝒍 ∶ 𝒎, 𝒍 𝒊𝒔 𝒄𝒂𝒍𝒍𝒆𝒅.
a) consequent b) antecedent c) relation d) none of these
22. In a ratio 𝒖 ∶ 𝒗, v is called
a) antecedent b) consequent c) relation d) none of these
23. If a,b,c are in continued proportion then b is called ____________ proportion between a&c
a) 1st b) mean c) 3rd d) none of these
24. The mean proportional between a2 and b2 is _____________
a) √𝑎𝑏 b) ab c) d) -ab
25. If 𝒙 + 𝟓 ∶ 𝒙 + 𝟕 = 𝟓 ∶ 𝟕 then x is equal to _____________
a) 2 b) -1 c) 0 d) 1
26. If 1,9,x and 45 are in properties, then x =
 LEADERS COACHING CENT LEADERS
𝑎) 27 b) c) 5 d) 405
27. If 𝒑 ∶ 𝒒 = 𝒓 ∶ 𝒔 𝒕𝒉𝒆𝒏 𝒑 ∶ 𝒓 = 𝒒 ∶ 𝒔 this property is called
a) componendo b) invertendo c) dividendo d) alternendo
28. 𝑰𝒇 𝒙 ∶ 𝒚 = 𝒛 ∶ 𝒘 then according to componendo
a) = 𝑏) = 𝐶) + 𝑑) =
29. If 𝒂 ∶ 𝒃 = 𝒄 ∶ 𝒅 then according to alternendo property
𝑎) = 𝑏) = 𝑐) = 𝑑) =
30. The fourth proportional to 3,5,12 is
a) 20 b) 15 c) 60 d) 36
31. If 2x, 3y and 6z are in continued proportion then
a) y2 = 12xy b) 9 y2 = xz c) 9 y2 = 12xz d) 3 y2 = 4xz
𝒙 𝒘
32. If = then according to dividendo property is
𝒚 𝒛
a) = 𝑏) = 𝑐) = d) none of these
33. Force and acceleration to dividendo property is:
a) direct proportion b) joint proportion c) inverse proportion d) none of these
34. If 𝒂 ∶ 𝟒 ∷ 𝟏𝟓 ∶ 𝟓 then a = ________________:
a) 20 b) 15 c) 12 d) 10
35. If m denotes the number of rows and n denotes the number of columns such that m = n, then matrix is called _________matrix.
a) Rectangular b) Equal c) Square d) Null
𝒊 𝟎 2
36. If A = , then A is:
𝟎 −𝒊
a) I2 b) I3 c) -I2 d) 0
37. If A is any square matrix such that At = -A, then A is said to be:
a) Diagonal matrix b) Scalar matrix c) Systematic matrix d) Skew Systematic Matrix
t
38. If A, B and C are matrices of same order then (ABC) =
𝑎) At. Bt. Ct b) Ct Bt At c) Ct At Bt d) (Bt At) Ct
𝒔𝒊𝒏𝜽 −𝒄𝒐𝒔𝝑 𝒔𝒊𝒏𝜽 𝒄𝒐𝒔𝝑
39. For two matrices A and B if A = and B = then AB =______________
𝒄𝒐𝒔𝝑 𝒔𝒊𝒏𝝑 −𝒄𝒐𝒔𝝑 𝒔𝒊𝒏𝝑
1 0 −1 0 1 1 0 0
a) b) c) d)
0 −𝑖 0 −1 1 1 0 0
𝒊 𝟎 𝟐 𝟎 𝒊
40. If A = , 𝑩 = 𝟎𝟐 𝒊 , 𝑪 = then
𝟎 −𝒊 −𝒊 𝟎 𝒊 𝟎
a) A2 = -I b) B2 = -I c) C2 = -I d) all of them
𝒛 −𝟏 𝟎
41. If 𝟐 𝟑 + 𝟑 𝒚 = 𝟒 𝟒 then the value of x, y and z are ________:
𝟒 𝟎 𝒛
a) 2, , 𝑏) , 2, 𝑐) , , 2 d) 1,2,3
42. For matrix A, (A-1)-1 = _____________
a) A-2 b) A c) A-1 d) A2
𝟓 𝟏
43. Find x if =x+4
𝟐 𝒙
a) 𝑏) c) 0 d) none of them
𝝀 −𝟑 𝟒
44. If the matrix −𝟑 𝟎 𝟏 is invertible then 𝝀 ≠______________
−𝟏 𝟑 𝟐
a) -15 b) -17 c) -16 d) none of these
45. If p ,q are the roots of 𝟐𝒙𝟐 + 𝟓𝒙 + 𝟑 = 𝟎, then p + q =____________
a) b) c) d) −
𝟏 𝟏
46. If , are the roots of the 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 𝟎, 𝒂 ≠ 𝟎, then 𝜶 + 𝜷 = _____________.
𝜶 𝜷
a) − 𝑏) 𝑐) − 𝑑) −
47. If the sum of roots of (p + 1)x2 + (2p + 3)x + (3p + 4) = 0 is -1, then product of the roots is.
a) 0 b) 1 c) 2 d) 3
48. The nature of roots of 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 𝟎, 𝒂 ≠ 𝟎 is determinated by:
a) sum of the roots b) product of the roots c) discriminant d) none of these
𝒃 𝒄
49. If sum of the roots of quadratic equation is and the product of the roots is , then equation is:
𝒂 𝒂
a) ax2 + bx + c = 0 b) ax2 + bx – c =0 c) ax2 – bx + c = 0 d) none of these
𝒄
50. The required equation whose roots are the reciprocal of the roots is , then equation is
𝒂
a) ax2 + bx + c = 0 b) ax2 + bx - c = 0 c) cx2 - ax + b = 0 d) cx2 - bx - a = 0
51. If ∆= 𝒃 − 𝟒𝒂𝒄, of a quadratic equation with real coefficient is perfect square, then roots are:
𝟐
 LEADERS COACHING CENT LEADERS
a) real and equal b) real, rational and un equal c) real, irrational and un equal d) imaginary
52. If one root of quadratic equation whose roots are complex cube roots:
(a) x2 -x -1 = 0 b) x2 - x + 1 = 0 c) x2 + x + 1 = 0 d) x2 + x -1 = 0
53. An improper fraction can be reduced into proper fraction by
a) addition b) multiplication c) subtraction d) division
𝒙
54. Partial friction of can have a form
(𝒙 𝒂)(𝒙 𝒃)(𝒙 𝒄)
a) − b) − c) − d) −
𝒙𝟑 𝟏
55. is
(𝒙 𝟏)(𝒙 𝟐)
a) proper friction b) an proper friction c) an identity d) a constant term
𝟐𝒙 𝟓
56. The friction 𝟐 is known as:
𝒙 𝟓𝒙 𝟔
a) proper b) Improper c) Both a&b d) none of these
57. Arithmetic mean is based on the use of ____________ observation of data.
a) Middle b) extreme c) all d) none
58. The ungrouped data must be ordered first to find:
a) A.M b) Mode c) Median d) Range
59. The number of classes in a continuous frequency table lies between 5 and _______
a) 10 b) 15 c) 20 d) 25
60. Mode grouped data is obtained graphically using____________
a) Histogram b) Polygon c) Ogive d) Bar chart
61. If data has outlier, then __________ is misleading
a) A.M b) Range c) Medium d) Mode
62. The A.M of {0, 90, k, 10, 100} is 40, then k =_________
a) 0 b) 90 c) 10 d) 100
63. Median and quartiles are __________
a) Mathematical b) Positional c) Logical d) none of these
64. Upper quartile divides data in ____________ ratio
a) 50% - 50% b) 25% - 25% c) 75% - 25% d) 40% - 60%
65. If data contain a number equal to 0, then_______ cannot be computed
a) A.M b) G.M c) H.M d) Median
66. If all numbers in data are equal, then :
a) A.M = G.M = H.M b) Range = 0 c) S.D = 0 d) all of these
67. Diagonal of a rectangle measures 6.5cm. if its width is 2.5cm, its length is
a) 9cm b) 4cm c) 6cm d) 3cm
68. Which of the following side of a right angled triangle?
a) 3,4,5 b) 2,3,4 c) 5,6,7 d) 4,5,6
69. In a right angled triangle the greatest angle is
a) 100° b) 90° c) 80° d) 110°
70. In a right angled triangle hypotenuse is opposite side to
a) Acute angle b) Right angle c) Obtuse angle d) none
71. If a, b, c are sides of right angled triangle, with c is the larger side, then
a) 𝑐 = 𝑎 + 𝑏 b) 𝑏 = 𝑐 + 𝑎 c) 𝑎 = 𝑏 + 𝑐 d) 𝑐 = 𝑎 − 𝑏
72. If 5cm and 12cm are two sides of a right angled triangle.
a) 16 b) 15 c) 14 d) 13
73. The system of measurement in which angle is measured in radian is called.
a) CGS b) Sexagesimal c) MKS system d) circular system
74. The union of two non-collinear rays at the common vertex is called
a) an angle b) a degree c) radian d) a minute
75. 10° =
a) 600`` b) 3600`` c) 600` d) 600
𝝅
76. 𝟓 radian = _________
𝟒
a) 115° b) 225° c) 135° d) 45°
𝟏
77. 𝐬𝐞𝐜 𝟒𝟓° = __________
𝟐
√
a)√ b) c) d)
√ √
78. 𝒄𝒐𝒔𝒆𝒄𝝑 . 𝒔𝒊𝒏𝝑 = ________
a) 1 b) 0 c) -1 d) 0.5
79. 𝒔𝒆𝒄𝟐 𝝑 − 𝒕𝒂𝒏𝟐 𝝑 = ______________
a) 0 b) 1 c) -1 d) 𝑐𝑜𝑠 𝜗
80. In unit circle for point (x, y), 𝒔𝒊𝒏𝝑 = ____________
 LEADERS COACHING CENT LEADERS
a) x b) -x c) y d) -y
𝟏
81. If 𝒔𝒊𝒏𝜽 = − 𝐚𝐧𝐝 𝛉 𝐥𝐢𝐞𝐬 𝐢𝐧 𝐭𝐡𝐞 𝟑 𝐪𝐮𝐚𝐝𝐫𝐚𝐧𝐭, then 𝒕𝒆𝒏𝜽 = ?
𝐫𝐝
√𝟐
a) -1 b) 1 c) ±1 d)
√
82. If an object is above the level of an observer then angle formed between the horizontal line and observer’s line of sight is called:
a) an angle of dispersion b) an obtuse angle c) an angle of elevation d) none of these
83. In a proportion, the product of means is equal to __________ of extremes.
a) sum b) difference c) quotient d) product
84. ___________ triangle are always similar.
a) right b) scalene c) acute angled d) equilateral
85. The symbol of similarity of triangles is ____________
a) = b) ≅ c) ~ d) ⟷
86. If a line parallel to base of a triangle and divides one side in 2:3 then it will divide other side in ___________
a) 3:2 b) 2:3 c) 2:6 d) 5:3
87. If a line intersects two sides of a triangle in same ratio then it is _______ to one side.
a) parallel b) none-parallel c) coincident d) all of these
88. In ∆𝑨𝑩𝑪, the bisector of < 𝑨 divides 𝑩𝑪 in ratio ________ if m𝑨𝑩 = 𝒎𝑨𝑪 = 𝟖𝒄𝒎.
a) 5:8 b) 3:4 c) 1:1 d) 5:7
89. The corresponding sides of two similar triangles are ________ .
a) equal b) un-equal c) proportional d) none of these
90. The bisector of an angle of equilateral triangle divides the opposite side in
a) 2:3 b) 3:2 c) 1:1 d) 5:2
91. If the ratio of two corresponding sides of similar triangle is 5:7 then ratio of their areas is equal to _______.
a) 5:7 b) 7:5 c) 25:7 d) 25:49
92. If the ratio of areas of two similar triangle is 36:121 then the ratio of its corresponding sides will be _________
a) 6:10 b) 6:11 c) 11:6 d) 10:6
93. If the ratio of corresponding sides of similar triangle is 2:x and that of areas is 4:9 then x =_____________.
a) 3 b) -3 c) both a and b d) none of these
94. Two equilateral triangles are also ___________.
a) congruent b) similar c) proportional d) equivalent
95. All circles are always ___________.
a) congruent b) similar c) tangent d) none of these
96. One and only one circle passes through three __________ points.
a) collinearb) none-collinear c) disjoint d) none of these
97. The hypothesis of the enunciation “If two chords of a circle are congruent, then they are equidistant from the circle.” is
a) two chords of a circle are equidistant from the center
b) two chords of a circle are congruent
c) a circle has two chords
d) the center of circle is equidistant from chords
98. The conclusion of the enunciation "If two chords of a circle are congruent, then they are equidistant from the centre." is:
a) two chords of the circle are equidistant from the centre.
b) two chords of a circle are congruent.
c) a circle has two chords.
d) the centre of circle is equidistant from chords.
99. The hypothesis of the enunciation "One and only one circle can pass through three non-collinear points" is:
a) three points are non-collinear.
b) one and only one circle passes through three points.
c) two circles pass through three points.
d) three points are collinear.
100.The conclusion of the enunciation "One and only one circle can pass through three non-collinear points" is:
a) three points are non-collinear.
b) one and only one circle passes through three points.
c) two circles pass through three points,
d) three points are collinear.
101.A circle is an example of a curve.
a) simple and closed
b) non-simple and closed
c) simple and open
d) non-simple and open
102.If a point is outside the circle then from this point we can draw circle. tangent(s) to the
a) one b) two c) three d) none
103.Angle between the radial segment and tangent at its outer end point is
 LEADERS COACHING CENT LEADERS
a) 450 b) 60° c) 90° d) 120°
104.Tangents drawn at end points of a diameter of a circle are
a) parallel b) perpendicular c) intersecting d) both a and b
105.The maximum number of common tangents between two circles touching externally is________.
a) 0 b) 1 c) 2 d) 3
106.The maximum number of common tangents between two circles touching internally is________.
a) 0 b) 1 c) 2 d) 3
107.If a chord of a circle subtends, a central angle of 60°. Then the chord and the radial segment are__________.
a) Parallel b) Perpendicular c) Congruent d) Incongruent
108.An arc subtends a central angle of 45° then the corresponding chords will subtend a central angle of ?
a) 15° b) 30° c) 45° d) 60°
109.A pair of chords of a circle subtending two congruent central angle arc.
a) Perpendicular b) Non congruent c) Congruent d) None of these
110.The arcs opposite to congruent central angles of a circle are always.
a) Parallel b) Congruent c) Perpendicular d) None of these
111.A 6cm long chord subtends a central angle of 60 deg The radial segment of this circle is
a) 4cm b) 6cm c) 5cm d) 8cm
112.The chord length of a circle subtending a central angle of 180° is always
a) equal to the radial segment
b) less than radial segment
c) double of radial segment
d) half of the radial segment.
113.The length of a chord and the radial segment of a circle are congruent, the central angle made by the chord will be:
a) 60° b) 75° c) 90° d) 45°
114.Out of two congruent arcs of a circle, if one are makes a central angle of 30° then the other are will subtend the central angle:
a) 60° b) 90° c) 75° d) 30°
115.Diameter divides the circle into parts
a) Two b) Three c) Four d) All of these
116.Inscribed angle ofis obtuse.
a) minor arc b) major arc c) semi-circle d) all of these
117. ……….is the circular region bounded by are and its chord
a) Sector b) Major are c) Segment d) Circumference
118.If 2x is the measure of inscribed angle of minor are then the central angle of corresponding major are is_________.
a) x b) 2x c) 3x d) 4x
119.If 2x and 60° are the measures of inscribed angles of same segment then x = ………….
a) 120° b) 60° c) 20° d) 30°
120.The inscribed angle of minor arc of circle is_______ angle.
a) acute b) obtuse c) right d) reflex
121.The inscribed angle of major arc of circle is ----------- angle.
a) acute b) obtuse c) right d) reflex
122.Sum of opposite angles of cyclic quadrilateral is
a) 90° b) 180° c) 270° d) 360°
123.A parallelogram inscribed in a circle is
a) kite b) trapezium c) rectangle d) rhombus
124.The central angle of an arc is ----- than inscribed angle of corresponding arc.
a) less b) greater c) less or equal d) greater or equal
125.The sum of central angles of all the arcs of a circle is
a) 90° b) 180° c) 360° d) 1000°
126.Right bisectors of non-parallel intersect at the centre of the circle.
a) Radial segments b) Chords c) Tangents d) none of these
127.___________circles can pass through a single point.
a) One b) Two c) Three d) Infinite
128.___________circles can pass through three non-collinear points.
a) One b) Two c) Three d) Infinite
129._______________ angles of regular polygon are equal in measure.
a) Interior b) Exterior c) both a and b d) none of these
130.Each interior angle of regular hexagon is equal to
a) 90° b) 120° c) 120° d) 135°
131.A circle which touches one side of triangle externally and two produced sides internally is called_______
a) circumcircle b) incircle c) excircle d) tricircle
132.The center of inscribed circle is called.
a) excentre b) incentre c) centroid d) orthocenter
 LEADERS COACHING CENT LEADERS
133.Right bisectors of sides of a triangle intersect each other at.
a) incentre b) excetre c) centroid d) circumcentre
134.The point of intersection of internal bisectors of angles of a triangle is called.
a) excentre b) circum centre c) centroid d) incentre
135.If a regular hexagon is inscribed in a circle then length of each side of hexagon radius of the circle.
a) < b) > c) = d) ≤
136.Angle between tangent and radial segment at the point of contact is.
a) right b) obtuse c) acute d) reflex
137.The central angle of circle joining the points of contact of tangents is the angle between the tangents of:
a) complement b) supplement c) square d) cube
138.__________the circle common tangents do not intersect the line segment joining the centres of
a) internal b) transverse c) direct d) vertical
139.Direct common tangents of two equal circles are___________.
a) intersecting b) coincident c) equal d) parallel
140._________common tangents of two equal circles intersect at the midpoint of the line segment joining the centres of the circles.
a) direct b) transverse c) external d) parallel
141.If two circles of radii 5cm and 2cm touch each other externally then the distance between their centers is
a) 5cm b) 10cm c) 3cm d) 7cm
142.If two circles of radii 5cm and 2cm touch each other internally then the distance between their centres is
a) 5cm b) 10cm c) 3cm d) 7cm
143.Two or more converging lines always intersect each other at
a) single point b) two points c) more than one point d) none of these
144.Three or more sided closed figure is called
a) pentagon b) hexagon c) heptagon d) polygon

WORK
HARD
IN SILENCE

LET YOUR
SUCCESS
MAKE THE NOISE

PREPARED BY:
SIR HURAIRA
0311-2543590