Solved MCQs Math 10th Class |

## 10th Class Maths Solved MCQs Punjab Board Chapter 1 Algebraic Expressions

Question 1: Which one is a solution set of |2x| = 6, when x ε R ?

- { }
- {7, -7}
- {-3, 7}
- {3, -3}

D

Question 2: Which one is a solution set of |x + 2| = 3 ?

- {1, 5}
- {-1, -5}
- {-1, 5}
- {1, - 5}

D

Question 3: Identify linear equation ?

- 5 – z > 2z
- x > 5
- lx + m = 0
- X – 5 < 3

C

Question 4: The solution set of 10 – 4x ≥ x + 15 is ?

- x = 1 and x = -1
- x ≥ - 1
- x = 1
- x ≥ - 1

B

Question 5: Which is an open sentence ?

- -3 > -8
- 3y < 7y
- 3 > 2
- 2x + 3 = 9

D

Question 6: If x < y < z then ?

- x < z
- x > z
- xz > z
- x > y

A

Question 7: Solution set of x/2 – 6 = 4 is ?

- {40}
- {10}
- {30}
- {20}

D

Question 8: Which of the following is an algebraic sentence ?

- 3 + 4
- 3a + 8
- 2 + 4 > 3
- 7a + 3b

C

Question 9: Which is an in-equation ?

- x < 4
- x + 2 = 6
- 3z + 2/2 = 5
- 4y – 2 + 6

A

Question 10: What is the meaning of compound sentence x ≥ 5 ?

- x > 5
- x = 5 or x > 5
- x = 5
- X > 5

B

Question 11: Which one is a solution set of √x – 5 = -3 ?

- {-3}
- {9}
- { }
- {4}

D

Question 12: Factors of equation: x² - 3x – 10 are ?

- (x - 2)(x + 5)
- (x + 2)(x - 5)
- (x + 2)(x - 5)
- (x – 2)(x - 5)

C

Question 13: Solution of √t – 10 = 2 is ?

- {144}
- {100}
- {64}
- {44}

A

Question 14: In which quadrant the point (-1, 3) lies ?

- IV quadrant
- II quadrant
- I quadrant
- III quadrant

B

Question 15: Which one ordered pair satisfies x – y = 3 ?

- (2, 1)
- (3, 0)
- (1, 2)
- (0, 3)

B

## 10th Class Maths Solved MCQs Punjab Board Chapter 2 Eliminations

Question 1: Eliminating ‘x’ from x + 1/x = a and x – 1/x = b, we get ?

- a² = b²
- a² - b² = 1
- a² - b² = 4
- a = b

C

Question 2: Eliminating ‘m’ from m³ = 2x and m² = y/2, we get ?

- x² = 32³y
- x³ = 32y²
- y³ = 32x²
- y² = 32x³

C

Question 3: Elimination‘t’ form x = √5 t and y = 7√2 t, we get ?

- 7√2 x = √5 y
- X = √5 y
- x/7√2 = y/√5
- √5 x =7√2 y

A

Question 4: The relation independent of ‘x’ from x = 1/3n and x = 2m is ?

- 6mn = 1
- 2m = n
- m = 3n
- 2mn = 1

A

Question 5: If at = x and 2at = y then free relation from ’t’ is ?

- 2x = y
- x = 2y
- 2ax = y
- none of these

A

Question 6: Eliminating ‘x’ from x²+1/x² = m² and x+1/x = n, we get ?

- m² - n² = 2
- m² + n² = 2
- m² + n² = -2
- m² - n² = -2

D

Question 7: Eliminating ‘t’ from x = t, y = t², we get ?

- x = y²
- xy = 1
- x²y = 1
- x² = y

D

Question 8: Eliminating x from x – pq = 0, x/I = m, we get ?

- q/p = m/l
- pq = m I
- p²q = m²l
- p/q = m/I

B

Question 9: The equation y – 5 = 6 is true for y = ?

- 1
- -11
- 11
- -1

C

Question 10: Eliminating ‘t’ from y = 2t and x = 3t, we get ?

- 3y = 2x
- y/3 = x/2
- 2x = 3y
- x = y

C

Question 11: Elimination‘t’ from t = 1/4q² and 3p² = 1/t, we get ?

- 4p²= 3q²
- 3p² = 4q²
- 3p²q² = 4
- 12p²q² = 1

B

Question 12: The relation free from‘t’ for equations x + t = 2a and y – t = 3a is ?

- x – y = 5a
- X + y = 5a
- x + y = a
- x – y = a

B

Question 13: Eliminating ‘z’ from z² + 1/z² = a² and z- 1/z = b, we get ?

- a² - b² = -2
- a² + b² = 2
- a² + b² = -2
- a² - b² = 2

A

Question 14: A relation independent of ‘x’ for the equation is : x + l = 6, x + m = 3 is ?

- l = 3
- l - m = 3
- l² - m² = 9
- l + m = 3

B

Question 15: Eliminating ‘z’ from m – z = 2 and n + z = 4, we get ?

- m – n = 6
- m + n = 2
- m + n = 6
- m – n = 2

C

## 10th Class Maths Solved MCQs Punjab Board Chapter 3 Variance

Question 1: If s ∝ t, then ?

- st =1
- s = kt
- s = 1
- st = kt

B

Question 2: If a/b = b/a = k, then ?

- a = b²k
- a = bk²
- A = ck²
- a =c²k

A

Question 3: In the proportional property is ?

- ±√ac
- ± √ab
- ±√b
- ±√c

A

Question 4: Mean proportional of 16, 9 is ?

- ±12
- 25
- ±13
- ± 16

A

Question 5: Given that y ∝ 1/x² and y = 9 for x = 2, then value of k is ?

- 36
- -36
- -18
- 18

A

Question 6: The third proportional of a² and b is ?

- a² b²
- a/b
- b²/a²
- ab

C

Question 7: If 2x : 4 – x : : 2 : 3, then x ?

- 3
- 1
- 2
- 4

B

Question 8: If a/b = c/d, then invertendo property is ?

- a/a + b = c/c + d
- a – b/b = c – d/d
- a/c = b/d
- b/a = d/c

D

Question 9: If x and y very inversely and y = 12 for x = 5, then value of k is ?

- 15
- 12
- 60
- 18

C

Question 10: If a : b = c : d, then alternendo property is ?

- a/b = c/d
- a/c = b/d
- a + b/b = c + d/d
- a – b/d = c – d/d

A

Question 11: If 9 : 8 = 9 : x, then x is ?

- 10
- 14
- 16
- 8

D

Question 12: If a/b = b/c , then ?

- a² = bc
- B = ac
- b² = ac
- c² = ab

C

Question 13: The fourth proportional in 7, 21, 3 is ?

- 3
- 9
- -9
- - 1

B

Question 14: Give that v ∝ t and v = 45 for k = 15 then value of t is ?

- 5
- 3
- 1
- 4

B

Question 15: The third proportional in 3, 12 is ?

- 48
- -48
- 32
- 16

A

## 10th Class Maths Solved MCQs Punjab Board Chapter 4 Information Handling

Question 1: Arithmetic mean of 64, 75, 81, 87, 90 is ?

- 78.40
- 79.40
- 77.40
- 79

B

Question 2: If the largest observation is 126 and the smallest observation is 20 and if we have to make 10 groups then size of each class interval will be ?

- 9
- 11
- 12
- 10

B

Question 3: The value which divides the data into two parts is called ?

- Mode
- mean
- range
- median

D

Question 4: If standard deviation of a series is 6, then its variance is ?

- 20
- 36
- 2
- 15

B

Question 5: The sum of 5 observations is 125, its mean will be ?

- 75
- 25
- -15
- 50

B

Question 6: If y ∝ 1/p³, then k = ?

- 1/yp
- 1/yp³
- 1/p³
- yp³

D

Question 7: Formula to find median for grouped data is ?

- l + h/f (n/2 - c)
- l + f/h (n/2 - c)
- l + h/f (n/2 - c²)
- l + h/f (c – n/2)

A

Question 8: If U = x – 15/3, ∑U = 25, and n = 5, then the arithmetic mean will be ?

- 20
- 10
- 30
- 40

C

Question 9: Range of 70, 100, 150, 130, 140, 150, 90, 60, 110, 600 is ?

- 550
- 454
- 535
- 540

D

Question 10: Median of 23, 15, 35, 48, 41, 5, 8, 19, 11, 51 is ?

- 19
- 21
- 22
- 20

B

Question 11: Mode of the data 75, 76, 80, 80, 82, 82, 82, 85 is ?

- 83
- 84
- 81
- 82

D

Question 12: If A = 52, ∑D = 8 and n = 8, then –x = ?

- 56
- 53
- 54
- 55

B

Question 13: The mean of 20 observations is 100, its sum will be ?

- 500
- 1000
- 2000
- 900

C

Question 14: In an equilateral triangle, the measure of one side is 12cm, measure of its altitude is ?

- 2√3
- 3√3
- 6√3
- 5√3

C

Question 15: By direct formula, variance is given by ?

- S² = ∑x² /n - (∑x/n)²
- S² = (∑x² /n) (∑x/n)²
- S² = ∑x² /√n - (∑x/√n)²
- S = ∑x² /n - (∑x/n)²

A

## 10th Class Maths Solved MCQs Punjab Board Chapter 5 Fundamental Concepts of Geometry

Question 1: The measure of sides of a triangle are 3cm, 4cm and 5cm. These are the sides of ?

- equilateral triangle
- Acute angled triangle
- obtuse angled triangle
- right angled triangle

D

Question 2: In the figure, P is any point lying away form the line AB. Then mPL will be the shortest distance if ?

- M< PLA = 80 ̊
- m<="" 90="" =="">
- m<="" 100="" =="">
- m<="" 70="" =="">

B

Question 3: Three points determine a ?

- triangle
- line
- square
- plane

D

Question 4: In a triangle if the sum of the squares of the measures of two sides of is equal to the square of the measure of the third side, the triangle is ?

- an equilateral triangle
- an obtuse angled triangle
- a right angled triangle
- an acute angled triangle

C

Question 6: Area of a triangle = ?

- ½ perpendicular x hypotenuse
- ½ base x height
- ½ base x hypotenuse
- ½ base x perpendicular

B

Question 7: Two sides of a triangle are of measure 10cm and 15cm. which of the following measure is possible for the third side ?

- 25 cm
- 5 cm
- 20 cm
- 30 cm

D

Question 8: The three sides of a ΔABC are of measure 5, x and 13. For what value of x it will become base of a right angled triangle ?

- 11
- 13
- 10
- 12

D

Question 9: If two angles of a triangle are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the ?

- equal angle
- smaller angle
- none of these
- greater angle

B

Question 10: In a right angled triangle the square of length of hypotenuse is equal to the sum of squares of lengths of ?

- perpendiculars
- medians
- other two sides
- altitudes

C

Question 11: In an equilateral triangle, the measure of one side is 12cm, measure of its altitude is ?

- 3√3
- 2√3
- 6√3
- 5√3

C

Question 12: If m

- m BA
- m BC
- m AB
- m AC

**D**

Question 13: Two points determine a ?

- line-segment
- mid point
- plane
- line

A

Question 14: If two triangles are similar, then the measures of their corresponding sides are ?

- congruent
- similar
- different
- proportional

D

Question 15: Form a point, outside a line the -------- is the shortest distance from the point to the line ?

- bisector
- perpendicular
- parallel
- median

B

## 10th Class Maths Solved MCQs Punjab Board Chapter 6 Circle

Question 1: The central angle of a minor are of a circle is 40 ̊, the angle subtended by the corresponding major are measures ?

- 120 ̊
- 69 ̊
- 80 ̊
- 20 ̊

D

Question 2: The point of intersection of the right bisectors of the sides of the circum-center of the triangle is called ?

- circum radius
- radius
- diameter
- circum center

C

Question 3: A line segment whose end points are any two points of a circle is called ?

- chord of the circle
- radius of the circle
- diameter of the circle
- segment of the circle

A

Question 4: How many circle or circles can pass through three non-collinear points ?

- Two
- none
- infinite
- One

D

Question 5: The segment joining center to any point on the circle is called ?

- radius
- circumference
- center
- radical segment

A

Question 6: If a diameter of a circle bisects a chord it will be ------------ to the chord ?

- perpendicular
- bisector
- congruent
- parallel

A

Question 7: A line which has two distinct points in common with a circle is called ?

- common tangent
- length of tangent
- tangent line
- secant line

D

Question 8: A line which intersects a circle at one point only and none of its points lie in the interior of the circle is called ?

- secant of a circle
- sector of a circle
- are of a circle
- tangent to a circle

D

Question 9: If two congruent circles touch externally, the distance between their centers is equal to their ?

- transverse tangents
- common tangents
- diameter
- radii

C

Question 10: The length of the line joining all points on the circle equidistant from the center of the circle of the circle is called ?

- diameter of the circle
- area of the circle
- circumference of the circle
- radius of the circle

C

Question 11: The circle which passes through the three vertices of a triangle is called the ?

- tangent circle
- circum-circle of a triangle
- inscribed circle of a triangle
- escribed circle of a triangle

B

Question 12: The perpendicular bisector of a chord of a circle passes through the ?

- center of the circle
- tangent of the circle
- radius of the circle
- diameter of the circle

A

Question 13: Center of two tangent circles and their common point always lie on the same ?

- secant line
- Radius
- straight line
- diameter

C

Question 14: A chord passing through the center of the circle is called ?

- circumference of the circle
- diameter of the circle
- radius of the circle
- center of the circle

B

Question 15: From a point at a distance of 5 cm from the center of a circle of radius 3 cm, tangents are drawn to the circle. The length of each tangent will be ?

- 4 cm
- 5 cm
- 3 cm
- 6 cm

A

## 10th Class Maths Solved MCQs Punjab Board Chapter 7 Practical Geometry

Question 1: Two circles of different radii are ?

- congruent
- equal
- similar
- equal in area

C

Question 2: If two circles touch internally, the distance between their centres is equal to ?

- The sum of their radii
- The difference of the their radii
- Double of their radii
- Half of their radii

B

Question 3: If two congruent circles touch each other externally, the distance between their center is ?

- Is greater than their diameter
- Is equal to their diameter
- equal to their radius
- Is less than their diameter

D

Question 4: At how many points a tangent touches the circle ?

- at three points
- at two points
- at infinite no. of points
- At one point

D

Question 5: Two circles are congruent if their radii are ?

- equal
- different
- parallel
- congruent

A

Question 6: Half of the length of diameter of the circle is called its ?

- diameter
- Radius
- centre
- midpoint

B

Question 7: A circle touching the three sides of a triangle is called ?

- concentric circle
- Circumcircle
- inscribed circle
- tangent circle

C

Question 8: A line bisecting an angle is called ?

- side bisector
- Angle bisector
- point bisector
- line bisector

B

Question 9: A tangent to the circle is always ?

- congruent to the radius of the circle
- Perpendicular to the radius of the circle
- collinear to the radius of the circle
- Parallel to the radius of the circle

A

Question 10: How many number of tangents that can be drawn from a point outside a circle ?

- Three
- many
- Two
- one

C

Question 11: All the three angle bisectors of a triangle of an inscribed circle bisect at ?

- Incentre
- circumcentre
- base of the triangle
- hypotenuse of the triangle

A

Question 12: A line from one vertex perpendicular to the opposite side of a triangle is called ?

- altitude
- hypotenuse
- angle bisector
- base

A

Question 13: A circle passing through the three vertices of a triangle is called ?

- Circumcircle
- Inscribed circle
- concentric circle
- tangent circle

A

Question 14: A circle touching one side externally and the other two produced sides of a triangle internally is called ?

- e-circle
- Circumcircle
- in-circle
- tangent circle

A

Question 15: The tangents at the end points of the diameter of a circle are ?

- Collinear
- parallel
- non parallel
- perpendicular

B

## 10th Class Maths Solved MCQs Punjab Board Chapter 8 Trigonometry

Question 1: Sin θ . cosec θ = ?

- 1
- tan θ
- Cot θ
- sec θ

A

Question 2: Sin90 ̊ . cos45 ̊ = ?

- 1/2
- 1
- 1/√2
- 0

C

Question 3: sec θ = ?

- √tan² θ
- √1 + tan² θ
- √1 - tan² θ
- √1 + tan θ

B

Question 4: tan² θ + 1 = ?

- sec² θ
- cosec² θ
- cos² θ
- sec θ

A

Question 5: 1 - sin² θ = ?

- cos² θ
- sec² θ
- tan² θ
- sec² θ

A

Question 6: Cos 60 ̊ = cos (90 ̊ - 30 ̊) = ?

- sin 30 ̊
- sin 90 ̊
- sin 45 ̊
- Sin 60 ̊

B

Question 7: cotθ . sinθ = ?

- cosec θ
- sec θ
- 1/ secθ
- tan θ

C

Question 8: Sin 45 ̊ = ?

- 1/2
- 1/√2
- 2
- √2

B

Question 9: In a right angled triangle, sin θ is the ratio of ?

- perpendicular to hypotenuse
- hypotenuse to base
- base to perpendicular
- hypotenuse to perpendicular

A

Question 10: If tan θ = ¾ and θ lies in 1st quadrant, then the value of sin θ will be ?

- 3/5
- 4/5
- 5/4
- 4/3

A

Question 11: Tan (90 ̊ - θ) = ?

- tan 90 ̊
- Tan θ
- Cot θ
- Cot 90 ̊

C

Question 12: A right angled triangle has one angle of ?

- 90 ̊
- 30 ̊
- 60 ̊
- 45 ̊

A

Question 13: 4sin45 ̊ - 3cos45 ̊ = ?

- √3/2
- √3
- 1/√2
- 1

C

Question 14: Sin² θ + cos² θ = ?

- 1
- tan² θ
- cot² θ
- 0

A

Question 15: cos θ/ sin θ = ?

- 1/cot θ
- 1
- 1/tan θ
- cos θ

C

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