CBSE Class 10 Mathematics MCQs

Question: If (3,4) is extremity of a diameter of a circle with centre (1,2) the other extremity of the diameter is
a) (-3,4)
b) (-1,0)
c) (4,3)
d) (4,6)

Answer: (-1,0)

Question: The straight line 3x+y=9 divides the segment joining the points (1,3) and (2,7) in the ratio
a) 4:2
b) 3:4
c) 4:5
d) 5:6

Answer: 3:4

Question: P and Q are points on the joining A(-2,5) and B(3,1) such that AP=PQ=QB. Then the midpoint of PQ is
a) (1/2,3)
b) (-1/2,4)
c) (2,3)
d) (1,4)

Answer: (1/2,3)

Question: Triangle ABC is right angled at A, the value of tan B tan C is :
a) None of the above
b) -1
c) 0
d) 1

Answer: 1

Question: The graph of a polynomial y = f(x) is shown in fig. The number of zeroes of f(x) is :

Question: If mode = 80 and mean = 110 then the median is:
a) 90
b) 120
c) 110
d) 100

Answer: 100

Question: The following pairs of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :
a) None from a, b, c
b) Coincident lines
c) Intersecting.
d) Parallel lines

Answer: Parallel lines

Question: 3cosΘ=1,then the value of cosecΘ is:
a) 4/3√2
b) 6√3/3
c) 2√2
d) 3/2√2

Answer: 3/2√2

Question: ΔABC ~ ΔPQR,M is the mid-point of BC and B is the mid-point of QR.If the area of ABC = 100sq. cm and the area of PQR = 144 sq. cm If AM = 4 cm then PN is:
a) 5.6 cm
b) 4 cm
c) 12 cm
d) 4.8 cm

Answer: 4.8 cm

Question: If two positive integers a and b are written as a = x² y² and b = xy² ; x,y are prime numbers then HCF (a, b) is :
a) x²y²
b) x²y³
c) xy
d) xy²

Answer: xy²

Question: For the decimal number 0.7 , the rational numbers is:
a) 1/2
b) 111/157
c) 33/50
d) 7/9

Answer: 7/9

Question: The graph y= p(x) is shown below. How many zeroes does the polynomial p(x) have?

a) 1
b) 2
c) 3
d) 4

Answer: 4

Question: Which of the following is not a measure of central tendency :
a) Mode
b) Median
c) Mean
d) Range

Answer: Range

Question: The number 7 x 11 x 13 + 13+13 x 2 is
a) multiple of 7
b) Neither prime nor composite
c) Prime
d) Composite

Answer: Composite

Question: HCF of the smallest composite number and the smallest prime number is
a) 4
b) 0
c) 1
d) 2

Answer: 2

Question: For what value of 'K' will the system of equations 3x + y = 1, (2K - 1) x + (K - 1) y = 2K + 1 have no solution.
a) -2
b) 1
c) 3
d) 2

Answer: 2

Question: If 3cotA = 4, then 1-tan²A/1+tan²A
a) 7/16
b) 16/25
c) 9/25
d) 7/25

Answer: 7/25

Question: If tan A = cot B, then A + B = ?
a) 60°
b) 45°
c) 30°
d) 90°

Answer: 90°

Question: The decimal expansion of the rational number 2³/2³-5  will terminate after.
a) more than three decimal places
b) three decimal place
c) two decimal places
d) one decimal place

Answer: one decimal place

Question: n² - 1 is divisible by 8, if n is
a) an even integer
b) a natural number
c) an integer
d) an odd integer

Answer: an odd integer

Question: If one of the zeroes of the quadratic polynomial (K - 1) x² + 1 is - 3, then the value of k is
a) -4/9
b) 4/9
c) -8/9
d) 8/9

Answer: 8/9

Question: The lines representing the linear equations 2x - y = 3 and 4x - y = 5:
a) intersect at exactly two points
b) are coincident
c) are parallel
d) intersect at a point

Answer: intersect at a point

Question: Construction of a cumulative frequency table is useful in determining The:
a) all the above three measures
b) mode
c) mean
d) median

Answer: median

Question: If x = 3 sec² θ - 1, y = tan² θ - 2 then x - 3y is equal to
a) 5
b) 4
c) 3
d) 8

Answer: 8

Question: If cos θ + cos² θ = 1, the value of (sin² θ + sin⁴ θ) is
a) 2
b) -1
c) 0
d) 1

Answer: 1

Question: If ΔABC ~ ΔRQP, ∠A = 80°, ∠B = 60°, the value of ∠P is
a) 30°
b) 50°
c) 60°
d) 40°

Answer: 40°

Question: The relation connecting the measures of central tendencies is
a) Mode = 3 median + 2 mean
b) Mode = 2 median + 3 mean
c) Mode = 2 median - 3 mean
d) Mode = 3 median - 2 mean

Answer: Mode = 3 median - 2 mean

Question: IF α and ß are the zeroes of the polynomial 5x2 - 7x + 2, then sum of their reciprocals is:
a) 17/12
b) 2/5
c) 7/5
d) 7/2

Answer: 7/2

Question: The value of sin2 30° - cos2 30° is :
a) 3/4
b) 3/2
c) √3/2
d) -1/2

Answer: -1/2

Question: A rational number can be expressed as a terminating decimal if the denominator has factors.
a) 3 or 5
b) 2 or 3
c) 2,3 or 5
d) 2 or 5

Answer: 2 or 5

Question: Which of the following cannot be the sides a right triangle?
a) 400 mm, 300 mm, 500 mm
b) 2 cm, 1 cm,√5 cm
c) 9 cm, 15 cm, 12 cm
d) 9 cm 5 cm 7cm

Answer: 9 cm 5 cm 7cm

Question: Which of the following pair of linear equations is inconsistent?
a) 9x - 8y = 17; 18x -16y = 34
b) x - 2y = 6; 2x + 3y = 4
c) 5x - 3y =11; 7x + 2y =13
d) 2x + 3y = 7; 4x + 6y = 5

Answer: 2x + 3y = 7; 4x + 6y = 5

Question: If one root of the equation (p + q) 2 x 2 - 2 (p + q) x + k =0 is ,s/p+q then k is
a) 15
b) 50
c) -50
d) -15

Answer: -15

Question: If tan 2A = cot (A - 180), then the value of A is
a) 70
b) 240
c) 180
d) 360

Answer: 360

Question: The mean of a dataset with 12 observations is calculated as 19.25. If one more value is included in the data, then for the new data with 13 observations mean becomes 20. Value of this 13th observation is:
a) 31
b) 30
c) 28
d) 29

Answer: 29

Question: If A and B are the angles of a right angled triangle ABC, right angled at C then 1+cot2A =
a) cot²B 
b) tan²B 
c) cos²B
d) sec²B

Answer: sec²B

Question: If α and β are the zeroes of the quadratic polynomial f (x) =x² +2x+1, then 1/α+1/β is:
a) 2
b) 0
c) -1
d) -2

Answer: -2

Question: The pair of equations y = 0 and y = -7 has :
a) infinitely many solutions
b) two solutions
c) one solution
d) no solution

Answer: no solution

Question: How many prime factors are there in prime factorization of 5005?
a) 7
b) 6
c) 2
d) 4

Answer: 4

Question: Which of the following is defined?
a) sec 90°
b) cot 0°
c) tan 90°
d) cosec 90°

Answer: cosec 90°

Question: If sin (A - B) = 1/2 and cos (A + B) = 1/2 , then the value of B is :
a) 0°
b) 60°
c) 45°
d) 15°

Answer: 15°

Question: Which of the following numbers is irrational?
a) 0.23232323
b) 0.11111….
c) 2.454545…
d) 0.101100101010…….

Answer: 0.101100101010…….

Question: Which of the following equation has the sum of its roots as 3?
a) x²+3x-5=0
b) -x²+3x+3=0
c) √2x²-3/√2x-1
d) 3x²-3x-3=0

Answer: -x²+3x+3=0

Question: The sum first five multiples of 3is
a) 45
b) 65
c) 75
d) 90

Answer: 45

Question: If radii of the two concentric circles are 15 cm and 17 cm,then the length of each chord of one circle which is tangent to other is
a) 8cm
b) 16cm
c) 30cm
d) 17cm

Answer: 16cm

Question: Two tagents making an angles of 120° with each other ,are drawn to a circle of radius 6cm,then the length of each tagent equal to
a) √3cm
b) 6√3cm
c) √2cm
d) 2√3cm

Answer: 2√3cm

Question: To draw a pair of tangent s to a circle which are inclined to each other at an angle of 100° it is required to draw tangents at end points of those two radii of the circle,the angle between which should be
a) 100°
b) 50°
c) 80°
d) 200°

Answer: 80°

Question: The height of cone is 60 cm.A small cone is cut off at the top by a plane parallel to the base and its volume is 1/64 th the volume of original cone .The height from base at which the section is made is
a) 15cm
b) 30cm
c) 45cm
d) 20cm

Answer: 45cm

Question: If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is
a) 22:7
b) 14:11
c) 7:22
d) 7:11

Answer: 14:11

Question: A pole 6m high casts a shadow 2√3m long on the ground, then the sun'selevation is
a) 60°
b) 45°
c) 30°
d) 90°

Answer: 60°

Question: Which of the following cannot be the probability of an event
a) 1/5
b) 0.3
c) 4%
d) 5/4

Answer: 5/4

Question: The distance between two parallel tangents to a circle of radius 5 cm
a) 9 cm
b) 8 cm
c) 5 cm
d) 10 cm

Answer: 10 cm

Question: The probability of occurrence of event A is denoted by P(A) so the range of P(A) is
a) 0
b) 0 P(A)<1
c) 0 p(a)>1
d) 0 P(A) 1

Answer: 0 P(A) 1

Question: A tree is broken by the wind. The top struck the ground at an angle of 30° and at a distance of 30 metres from the foot of the tree. The height of the tree in metres is
a) 40
b) 30
c) 25
d) 30√3

Answer: 30√3

Question: The area of a square ABCD, whose vertices are A(5,6),B(1,5),C(2,1) and D(6,2) is given
a) 7 sq. units
b) 10 sq. units
c) 34 sq. units
d) 17 sq. units

Answer: 17 sq. units

Question: If the perimeter and area of a circle are numerically equal,then the radius of the circle is
a) 7 units
b) 4 unit
c) π unit
d) 2 unit

Answer: 2 unit

Question: The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is
a) 8:π
b) π:6
c) π:8
d) 6:π

Answer: 6:π

Question: The first and last terms of an AP are 1 and 11. If the sum of all its terms is 36, then the number of terms will be
a) 8
b) 7
c) 5
d) 6

Answer: 6

Question: The mid-point of the line segment AB in given figure is (4,-3). The respective coordinates of A and B ar

a) (6,0) and (0,8)
b) (-8,0) and (0,6)
c) (8,0) and (0,6)
d) (8,0) and (0,-6)

Answer: (8,0) and (0,-6)

Question: The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is:
a) 8:π
b) π:2
c) π:8
d) 6:π

Answer: 6:π

Question: If A (1,2) , B (4,y), c (x,6) and D (3,5) are the vertices of a parallelogram taken in order then the values of x and y are:
a) 5 and 2
b) 2 and 3.
c) 6 and 5
d) 6 and 3

Answer: 6 and 3

Question: In a lottery there are 5 prizes and 20 blanks. The probability of getting a prize is
a) 1/4
b) 1/3
c) 1/2
d) 1/5

Answer: 1/5

Question: If x silver coins 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid 11cmx10cmx7cm, then the value of x is:
a) 1800
b) 1400
c) 1200
d) 1600

Answer: 1600

Question: PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that
a) 90°
b) 45°
c) 60°
d) 30°

Answer: 30°

Question: In given AP 210 is _____ term: 2,6,10____
a) 54th
b) 52nd
c) 50th
d) 53rd

Answer: 53rd

Question: A kite is flying, attached to a thread which is 165m long. The thread makes an angle of 30° with the ground. The height of the kite from the ground, assuming that there is no slack in the thread is
a) 84 m
b) 81.5 m
c) 80 m
d) 82.5 m

Answer: 82.5 m

Question: The points (a, b + c), (b, c + a) and (c, a + b) are
a) All of the above
b) Concurrent
c) Non-collinear
d) Collinear

Answer: Collinear

Question:

a) l
b) 0
c) 0≤r
d) 0

Answer: 0≤r

Question: In fig.1,the graph of a polynomial p(x) is shown.The number of zeroes of p(x) is

a) 4
b) 1
c) 2
d) 3

Answer: 1

Question: In Fig.2,if DE BC,then x equals 

a) 6 cm
b) 8 cm
c) 10 cm
d) 12.5 cm

Answer: 10 cm

Question: if sin 3Θ = cos (Θ-6°), where (3Θ) and (Θ-6°) are both acute angles,then the value of Θ is
a) 18°
b) 24°
c) 36°
d) 30°

Answer: 24°

Question: Given that tanΘ =1/√3 ,the value of cosec²Θ-sec²Θ/cosec²Θ+sec²Θ is
a) -1
b) 1
c) 1/2
d) -1/2

Answer: 1/2

Question: In Fig.3,AD=4 cm,BD=3 cm and CB=12 cm,then cotΘ equals

a) 3/4
b) 5/12
c) 4/3
d) 12/5

Answer: 12/5

Question: The decimal expression of 147/120 will terminate after how many places of decimal?
a) 1
b) 2
c) 3
d) Will not terminate

Answer: 3

Question: The pair of linear equation 3x+2y=5;2x-3y=7 have
a) one solution
b) two solution
c) Many solution
d) No solution

Answer: one solution

Question: If sec A= cosec B = 15/17,then A+B is equal to
a) 0
b) 90°
c) <90°
d) >90°

Answer: 90°

Question: For a given data with 70 observations the 'less then ogive' and the 'more than ogive' intersect at (20.5,35). The median of data is
a) 20
b) 35
c) 70
d) 20.5

Answer: 20.5 

Question: A letter is chosen at random from the word "PROBABILITY". The probability that it is a vowel is
a) 3/11
b) 2/11
c) 1/11
d) 4/11

Answer: 4/11

Question: If the length of a shadow cast by a pole is √3 times the length of the pole, then the angle of elevation of the sun is
a) 60°
b) 30°
c) 45°
d) 90°

Answer: 30°

Question: The mid-point of the line segment joining P(-2,8) and Q(-6,-4) is
a) (-4,-2)
b) (4,-2)
c) (4,2)
d) (-4,2)

Answer: (-4,2)

Question: In given figure, the length of BC is

a) 8 units
b) 6 units
c) 4 units
d) 10 units

Answer: 10 units

Question: A spherical steel ball is melted to make 8 new identical balls. Then the radius of each new ball is how much times the radius Of the original ball?
a) 1/8
b) 1/4
c) 1/3
d) 1/2

Answer: 1/2

Question: If 1/2 is a root of the equation x²+kx -5/4 =0, then the other root of the quadratic equation is
a) 1/2
b) 1/4
c) -2
d) -5/2

Answer: -5/2

Question: The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
a) -5x-4y+1=0
b) -5x+4y+1=0
c) 5x+4y+1=0
d) 5x-4y+1=0

Answer: 5x-4y+1=0

Question: A largest sphere is carved out of a cube of side 7cm. The volume of the sphere is
a) 176.42 cu.cm
b) 182 cu.cm
c) 180.5 cu.cm
d) 179.67 cu.cm

Answer: 179.67 cu.cm

Question: In the given figure, the respective values of y and x are

a) 30° and 45°
b) 60° and 45°
c) 45° and 60°
d) 60° and 30°

Answer: 60° and 30°

Question: The next term of the given series √2+√8+√10+√32+_____ would be
a) √90
b) √80
c) √70
d) √50

Answer: √50

Question: To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is
a) 140°
b) 70°
c) 105°
d) 145°

Answer: 145°

Question: If a die is thrown once the probability of getting a prime number is
a) 1/5
b) 1/4
c) 1/3
d) 1/2

Answer: 1/2

Question: The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is √10,then the coordinates of the point are
a) (2,1) or (3,6)
b) (2,1) or (6,3)
c) (1,2) or (3,5)
d) (1,2) or (3,6)

Answer: (1,2) or (3,6)

Question: The ratio in which the line segment joining A(3,4) and B(-2,1) is divided by the y-axis is
a) 2:5
b) 2:3
c) 1:2
d) 3:2

Answer: 3:2

Question: The radius of a cylindrical tank is 28m. If its capacity is equal to that of a rectangular tank of size 28mx16mx11m then, its depth is
a) 5m
b) 4m
c) 3m
d) 2m

Answer: 2m

Question: In given figure, a circle of radius 7.5cm is inscribed in a square, the remaining area of the square is

a) 52.32 cm sq.

b) 46 cm sq.

c) 48.91 cm sq.

d) 48.375 cm sq

Answer: 48.375 cm sq

Question: Euclid's Division Lemma states that for any two positive integers a and b, there exists unique integers q and r such that a = bq + r where r must satisfy :
a) 0 < r < b
b) 0≤ r≤b
c) 0 < r ≤ b
d) 0≤r≤a

Answer: 0≤ r≤b

Question: In Fig. 1, the graph of a polynomial p(x) is shown. The number of zeroes of p(x) is:

a) 1
b) 2
c) 3
d) 4

Answer: 1

Question: In Fig. 2, if DE || BC, then x equals :

a) 3 cm
b) 2 cm
c) 4 cm
d) 20/3 cm

Answer: 20/3 cm

Question: If sin (Θ + 36°) = cos Θ where Θ and Θ + 36° are acute angles, then value of Θ is
a) 36°
b) 54°
c) 27°
d) 90°

Answer: 27°

Question: If 3 cos Θ = 2 sin Θ then the value of 4sinΘ-3cosΘ/2sinΘ+6cosΘ is:
a) 1/8
b) 1/3
c) 1/2
d) 1/4

Answer: 1/3

Question: In fig. 3, ABC is right angled at B and tan A =4/3 A  If AC = 15 cm the length of BC is :

a) 4 cm
b) 3 cm
c) 12 cm
d) 9 cm

Answer: 12 cm

Question: The decimal expansion of 21/24 will terminate after how many places of decimal?
a) 1
b) 2
c) 3
d) 4

Answer: 3

Question: The pair of linear equations x – 2y = 5 and 2x – 4y = 10 have :
a) Many Solutions
b) No Solution
c) One Solution
d) Two Solution

Answer: Many Solutions

Question: If tan A =cotB=15/7 then A+B is equal to:
a) zero
b) 90°
c) < 90°
d) > 90°

Answer: 90°

Question: For a given data with 50 observations 'the less than Ogive' and the 'more than Ogive' intersect at (38.5, 34). The median of the data is :
a) 38.5
b) 34
c) 50
d) 4.5

Answer: 38.5

Question: The roots of a quadratic equation px² + 6x +1 = 0 have real roots then value of p is
a) p≥9
b) p<9
c) p≤9
d) None of these

Answer: p≤9

Question: The number of terms in the AP 7,13, 19, _____, 205 are
a) 35
b) 36
c) 38
d) 34

Answer: 34

Question: For what value of k, 10, k-2 are in A.P.
a) k=4
b) k=3
c) k=2
d) k=1

Answer: k=4

Question: In the figure given, PA= 4 cm, AB= 9 cm, then value of PT is

a) 9 cm
b) 4 cm
c) 6 cm
d) None of these

Answer: 6 cm

Question: The height of a tower is √3 times of its shadow. The angle of elevation of the source of height is
a) 30°
b) 60°
c) 45°
d) None of these

Answer: 60°

Question: The probability of selecting a queen of hearts is
a) 1/4
b) 1/52
c) 1/13
d) 12/13

Answer: 1/52

Question: If the points P(1,2), Q(0,0) and R(a,b) are collinear, then
a) a=b
b) a=2b
c) 2a=b
d) a= - b

Answer: 2a=b

Question: A cone , a hemisphere and a cylinder stand on equal bases and have the same height then their volumes are in the ratio of
a) 3:1:2
b) 1:2:3
c) 2:1:3
d) 3:2:1

Answer: 1:2:3

Question: ΔABC is right angled at A. The value of tan B . tan C is _______
a) tan B
b) tan C
c) 0
d) 1

Answer: 1

Question: In Euclid Division Lemma, when x = yq + r, where x and y are positive integers which one is correct.
a) 0 ≤ r < y
b) 0 ≤r < y
c) 0 < r < y
d) 0 ≤ r ≤ y

Answer: 0 ≤ r < y

Question: If the mean of 2, 4, 6, 8, 10, x, 14, 16 is 9 then the value of x is
a) 10
b) 11
c) 12
d) 13

Answer: 12

Question: Graph of y = ax² + bx + c intersects x-axis at 2 distinct points if
a)  b² – 4ac = 0
b)  b² – 4ac > 0 
c)  b² – 4ac < 0 
d)  b² – 4ac ≥ 0

Answer:  b² – 4ac > 0 

Question: If 5 tan Θ – 4 = 0 then the value of 5sin Θ - 4 cos Θ / 5 sin Θ + 4 cos Θ is
a) 5/3
b) 5/6
c) 0
d) 1/6

Answer: 0

Question: If x = tan 2° · tan 36° · tan 54° · tan 88° then the value of x is ______
a) 45°
b) 1
c) 2
d) 90°

Answer: 1

Question: The coordinates of the point where y-axis and the line represented by x/2 + y/3 = 1 intersect are :
a) (0, 2)
b) (2, 0)
c) (0, 3)
d) (3, 0)

Answer: (0, 3)

Question: The relationship in mean, median and mode is
a) Mode = 2 median – 3 mean
b) Mode = 2 median - mean
c) Mode = 3 median + 2 mean
d) Mode = 3 median – 2 mean

Answer: Mode = 3 median – 2 mean

Question: If product of the zeroes is 5 and sum of the zeroes is –2 then the quadratic polynomial will be–
a) x² – 5x – 2
b) x² + 5x – 2
c) x² + 2x – 5
d) x² + 2x + 5

Answer: x² + 2x + 5

More Questions

Question: The distance between the line y + 3 = 0 and 2y – 5 = 0 is–
a) 8 unit
b) 11/2 unit
c) 6 unit
d) 5 unit

Answer: 11/2 unit

Question: The probability of a question calculated to be right is x/12 If the probability of the question calculated not to be right is 2/3 then x =_____
a) 2
b) 3
c) 4
d) 6

Answer: 4

Question: If –9, –14, –19, _______ is an A.P. then the value of a₃₀ – a_2⁰ is
a) -50
b) 50
c) 10
d) None of these

Answer: -50

Question: If the system of liner equations x - ky =2 and 3x + 2y =-5 has a unique solution, then the value of k is:-
a) k=2/3
b) k≠-2/3
c) k=3/2
d) k≠3/2

Answer: k≠-2/3

Question: If tanΘ = 3/4 then the value of 1-cosΘ/1+cosΘ is:
a) -1/9
b) 2/9
c) 1
d) 1/9

Answer: 1/9

Question: If sin3x = cos[x-26°] and 3x is an actual angle, then the value of x is :-
a) 29°
b) 26°
c) 29°
d) 13°

Answer: 29°

Question: If x=2³x 3 x 5² , y=2²x3³ ,then HCF [x , y] is :-
a) 12
b) 108
c) 6
d) 36

Answer: 12

Question: If a positive integer p is divided by 3, then the remainder can be:-
a) 1 or 3
b) 1,2 or 3
c) 0,1 or 2
d) 2 or 3

Answer: 0,1 or 2

Question: If the given figure, the value of tanP – cotR is:-

a) 1
b) 0
c) -1
d) 2

Answer: 0

Question: Construction of a cumulative frequency table is useful in determining the :-
a) Mean
b) Median
c) Mode
d) All the above

Answer: Median

Question: In the given figure, if

a) 240 cm²
b) 48 cm²
c) 120 cm²
d) 260 cm²

Answer: 120 cm²

Question: The sum of roots of the quadratic equation 2x² + 13x + 11 = 0 is
a) –13
b) -13/2
c) 11/2
d) 11

Answer: -13/2

Question: n^th term of the A.P. –5, –3, –1, _____ is
a) 2n – 7
b) 7 – 2n
c) 2n + 7
d) 2n + 1

Answer: 2n – 7

Question: In the given fig. P, Q and R are the points of contact. If AB = 6 cm, BP = 3 cm, then the perimeter of ABC is

a) 12 cm
b) 18 cm
c) 9 cm
d) 15 cm

Answer: 18 cm

Question: The tops of the two poles of height 8 m and 12 m are connected with wire. If wire makes an angle 30° with the horizontal, then the length of wire is–
a) 10 m
b) 12 m
c) 8 m
d) 4 m

Answer: 8 m

Question: A right circular cylinder of height 45 cm and radius 4 cm is made by melting of spheres of radius 6 cm each. Find the number of spheres.
a) 3
b) 4
c) 5
d) 6

Answer: 5

Question: At any instant, the shadow of a pole is equal to its height, the angle of elevation of the sum is
a) 30°
b) 45°
c) 60°
d) 90°

Answer: 45°

 Question: The perimeter of triangle formed by the points (0, 0), (3, 0) and (0, 3) is
a) 6 unit
b) 9 unit
c) 2(1+√3) unit
d) 3(2+√2)unit

Answer: 3(2+√2)unit

Question: Which of the following is a solution of the equation 2x²+x-6=0?
a) x=2
b) x=-12
c) x=3/2
d) x=-3

Answer: x=3/2

Question: The sum of first five multiples of 3 is
a) 45
b) 65
c) 75
d) 90

Answer: 45

Question: The length of the tangent drawn from a point 8cm away from the centre of a circle of radius 6cm is
a) √ 7cm
b) 2√ 7cm
c) 10 cm
d) 5 cm

Answer: 2√ 7cm

Question: If the angle of elevation of top of a tower from a point at a distance of 100m from its foot is 600 then the height of the tower is
a) 50√3 m
b) 200/√3 m
c) 100/√3 m
d) 100√3 m

Answer: 100√3 m

Question: One end of a diameter of a circle is at (2,3) and centre is(-2,5) what are the coordinates of the other end of this diameter
a) (-6,7)
b) (6,-7)
c) (6,7)
d) (-6,-7)

Answer: (-6,7)

Question: A card is drawn from a deck of playing cards. The probability of drawing a red face card is
a) 1/26
b) 3/26
c) 4/26
d) 1/13

Answer: 3/26

Question: AOBC is a rectangle whose three vertices are A(0,3) O(0,0) B(5,0).The length of its diagonal is
a) 5
b) 3
c) √34
d) 4

Answer: √34

Question: A metallic sphere of total volume is melted and recast into the shape of a right circular cylinder of radius 1cm .what is the height of cylinder
a) 1cm
b) 2cm
c) 3cm
d) 4cm

Answer: 1cm

Question: If cos 9Θ= sinΘ and 9Θ<90°, then the value of tan 5Θ is :
a) 1/√3
b) √3
c) 0
d) 1

Answer: 1

Question: If the zeroes of the quadratic polynomial x2 +(a+1)x +b are 2 and -3 then:
a) a= -7, b= -1
b) a= 5, b= -1
c) a= 2, b= -6
d) a= 0, b= -6

Answer: a= 0, b= -6

Question: The HCF of 135 and 225 is :
a) 135
b) 35
c) 45
d) 65

Answer: 45

Question: x² -1 is divisible by 8 if x is :
a) an integer
b) natural number
c) an even integer
d) an odd integer

Answer: an odd integer

Question: If cos(40° +x) = sin 30°, then value of x is :
a) 30°
b) 40°
c) 20°
d) 60°

Answer: 20°

Question: The mean of first 6 multiples of 3 is :
a) 11
b) 63
c) 46
d) 10.5

Answer: 10.5

Question: The pair of equations x=a and y=b, graphically represent lines which are :
a) Parallel
b) Intersecting at (b,a)
c) intersecting at (a,b)
d) coincident

Answer: intersecting at (a,b)

Question: If sin A = ½ , then 4cos³A – 3cos A is
a) 0
b) 1
c) √3
d) 1/√3

Answer: 0

Question: If the common difference of an A.P is 3, then a₂₀-a₁₅ is.
a) 5
b) 3
c) 15
d) 20

Answer: 15

Question: If P ( a/2,4) is the midpoint of the line segment joining the points A(-6,5) and B(-2,3), then the value of a is .
a) -3
b) 8
c) -4
d) 4

Answer: -3

Question: In Figure 1 .○ O is the centre of a circle, PQ is a chord and PT is the tangent at P. If

 

 

a) 55°
b) 70°
c) 45°
d) 35°

Answer: 35°

 Question: In Figure 2, AB and AC are tangent to the circle with centre O such that

 

 

 

Question: The roots of a quadratic equation px² + 6x +1 = 0 have real roots then value of p is
a) p≥9
b) p<9
c) p≤9
d) None of these

Answer: p≤9

Question: The number of terms in the AP 7,13, 19, _____, 205 are
a) 35
b) 36
c) 38
d) 34

Answer: 34

Question: For what value of k, 10, k‐2 are in A.P.
a) k=4
b) k=3
c) k=2
d) k=1

Answer: k=4

More Questions

Question: In the figure given, PA= 4 cm, AB= 9 cm, then value of PT is

a) 9 cm
b) 4 cm
c) 6 cm
d) None of these

Answer: 6 cm

Question: The height of a tower is √3 times of its shadow. The angle of elevation of the source of height is
a) 30°
b) 60°
c) 45°
d) None of these

Answer: 60°

Question: The height of a tower is √3 times of its shadow. The angle of elevation of the source of height is
a) 30°
b) 60°
c) 45°
d) None of these

Answer: 60°

Question: Therobability of secting a queen of hearts is
a) 1/4
b) 1/52
c) 1/13
d) 12/13

Answer: 1/52

Question: If the points P(1,2), Q(0,0) and R(a,b) are collinear, then
a) a=b
b) a=2b
c) 2a=b
d) a= ‐ b

Answer: 2a=b

Question: A cone , a hemisphere and a cylinder stand on equal bases and have the same height then their volumes are in the ratio of
a) 3:1:2
b) 1:2:3
c) 2:1:3
d) 3:2:1

Answer: 1:2:3

Question: If tanΘ=3/4 then thealue of 1-cosΘ/1+cosΘ is:-
a) -1/9
b) 2/9
c) 1
d) 1/9

Answer: 1/9

Question: If x=2³x 3 x 5² , y=2²x3³ ,then HCF [x , y] is :‐
a) 12
b) 108
c) 6
d) 36

Answer: 12

Question: If a positive integer p is divided by 3, then the remainder can be:‐
a) 1 or 3
b) 1,2 or 3
c) 0,1 or 2
d) 2 or 3

Answer: 0,1 or 2

Question: If the given figure, the value of tanP – cotRis:‐

a) 1
b) 0
c) -1
d) 2

Answer: 0