## Class/Course - Class X

### Subject - Math

#### Total Number of Question/s - 3049

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• 1. Real Numbers - Quiz

1. If x,y,z be rational numbers such that x>y and z < y then _________
a) z > x
b) z < x
c) y < z
d) y > x

2. The number (√2 + √3)2 is
a) rational
b) irrational
c) cant say
d) none

• 2. Polynomials - Quiz

1. Find the quadratic polunomial which is exactly divided by (2x-3)and (x+1).
a) 2x2-x+3
b) 2x2+x-3
c) 2x2-x-3
d) none

2. Which of the following expressions is a rational expressions?
a) x3-√3x2+√5x-11
b) (x2+3) / (2√x-1)
c) (5x2 - √6x +7) / (x+3)
d) (√2x2 - 4√x + 5) / (x - √2)

• 3. Pair of Linear Equations in Two Variables - Quiz

1. For what values of a and b will the equations 2x+3y=7, (a-b)x +(a+b)y = (3a+b-2) represent coincident lines?
a) a=-5, b=1
b) a=5, b=1
c) a=-5, b=-1
d) a=5, b=-1

2. The numbers are such that their difference, their sum and their product are to one another as 1:7:24. The product of two numbers is________.
a) 12
b) 24
c) 48
d) 96

• 4. Quadratic Equations - Quiz

1. If α and β are the roots of the quadratic equation x2+px+12 = 0 with the condition α-β = 1, then the value of p is
a) 1
b) 7
c) -7
d) 7 or -7

2. If α is a positive integer and the roots og the equation 6x2-11x+α = 0 are rational numbers, then the smallest value of α is:
a) 4
b) 5
c) 6
d) None

• 5. Arithmetic Progressions - Quiz

1. The measure of the interiour angles of a convex polygon are in AP. If the smallest angle is 1400, then the largest number of sides of the polygen is
a) 6
b) 8
c) 10
d) 12

2. In a given AP, if the pth term is q and the qth term is p` then its nth term is?
a) p+q-n
b) p+q+n
c) p-q+n
d) P-q-n

• 6. Triangles - Quiz

1. In a quadrilateral ABCD, AD=BC. If P,Q,R,S are mid points of AB,AC,CD and BD respectively. Then _______

a) PQRS is a rhombus
b) PQRS is a square
c) PQRS is a rectangle
d) none of these

2. In the following figure , AP:PB= _______ .

a) 3:5
b) 2:5
c) 5:2
d) 5:3

• 7. Coordinate Geometry - Quiz

1. The point (0,-2) lies on
a) +ve X-axis
b) +ve Y-axis
c) -ve X-axis
d) -ve Y-axis

2. The point (3,2) is at a distance of _______ units from Y- axis
a) 2 units
b) 3 units
c) 5 units
d) none

• 8. Trigonometry - Quiz

1. If 3cotθ = 5 then (5sinθ-3cosθ) / (5sinθ+3cosθ) = ___________
a) 5/3
b) 3/5
c) 0
d) none

2. The angle of elevation of the top of an unfinished tower at a point of distance 120m from its base is 450. How much height must the tower be raised so that the angle of elevation be 600?
a) 120(√3+1)m
b) (√3 + 1)m
c) 120 (√3 - 1)m
d) none

• 9. Circles - Quiz

1. In the figure AD⊥ BC , BE⊥AC, CF⊥AB then AF2+BD2+CE2 =

a) OA2+OB2+OC2
b) OD2+OE2+OF2
c) AB2+BC2+AC2
d) AE2+BF2+CD2

2. In ΔABC, AD is the median then AB2+ AC2 = _________

• 10. Constructions - Quiz

1.

If OT = 10cm; and PT = 24 cm ; Then OP=
a) 34cm
b) 26cm
c) 30cm
d) 17cm

2.

PT is the tangent drawn from P. If the radius is 7 cm ; and OP is 25 cms. Then the length of the tangent is
a) 18cm
b) 12.5cm
c) 24cm
d) 16cm

• 11. Areas Related to Circles - Quiz

1. The area of a segment of a circle of radius 21cm if the arc of the segment has a measure of 600 is
a) 45.27cm2
b) 40.27cm2
c) 40.8cm2
d) none

2. A sector of 1200 cut out from a ircle has an area of  sq cm. The radius of the circle is
a) 3 cm
b) 2.5 cm
c) 3.5 cm
d) 3.6 cm

• 12. Surface Areas and Volumes - Quiz

1. The diameter of a copper sphere is 6 cm . It is beaten and drawn into a wireof diameter 0.2 cm . The length of wire is ____________
a) 36cm
b) 360cm
c) 3600cm
d) none

2. Liquid is full in a hemisphere of inner diameter is 9 cm. This is to be poured into cylinderical bottles of diameter 3 cm and height 4cm. The number of bottles required are _________
a) 50
b) 54
c) 45
d) none

• 13. Statistics - Quiz

1. Mode of 5, 7, 7, 8, 6, 5, 8, 7 is
a) 8
b) 7
c) 5
d) 6

2. The measure which takes into account all the data is
a) A.M.
b) median
c) range
d) mode

• 14. Probability - Quiz

1. The chance that a nin-leap year contains 53 saturdays is
a) 2/7
b) 1/7
c) 2/365
d) 1/365

2. Two numbers are chosen from 1 to 5. The probability fir the teo numbers to be consecutve is
a) 1/5
b) 2/5
c) 1/10
d) 2/10