A ray is reflected by a plane mirror The angle of incidence for reflected ray is
a) 90°.
b) 0°.
c) 180°
d) 45°
Ans ( b)
Solution
by
Que 2
The focal length of a convex lens is 10 cm one half of the lens is covered with black paper which one is correct
a) The image formed is one half of original image
b) A complete images formed but of less intensity
c) The image is formed above the principal axis
d) No image is formed
Ans (b)
Solution
Que 3
Which statement is correct
a) Medium B has more refractive index
b ) Medium A is more optically denser medium
c) Both are same but angle of incidence is critical angle
d) Medium A is optically denser so it is rarer medium
Ans ( b)
Solution
Que 4
Which colour has more speed in prism
a) P
b) Q
c) R
d) S
Ans (a)
Solution
Que 5
Which colour of light has more wavelength in prism
a) P
b) Q
c) R
d) S
Ans (a )
Solution
Que 6
Which colour has shortest wavelength
a) Red
b) Orange
c) Green
d) Violet
Ans (d)
Solution
Que 7
Refractive Index of medium 1 with respect to medium 2
a) √3
b) √3/2
c) ✓(2/3)
d) 1/√2
Ans (c)
Que 8
If speed of light in air is 3×10⁸ m/s and speed of light in water is 2.2 ×10⁸ m/s then refractive index is
a) 1.4
b) 2.4
c) 1.5
d ) 1.22
Ans (a)
Solution
Que 9
If two thin lenses of focal length 20 cm and -25 cm are combined togethertogether to form a single lens .Then power of combination is
a) 5 D
b) 1D
c) -4 D
d) 9D
Ans ( b)
Solution
Part 10
If we use a concave mirror of focal length 2.5 cm as a dentist mirror the distance of tooth from mirror
a) less than 2.5 cm from focal length
b) more than 2.5 cm from focal length
c ) less than 5 cm from focal length
d ) more than 5 cm from focal length
Ans ( a )
Solution
Part 11
At what distance the object should be placed in front of a concave mirror of focal length 20 cm to get an erect image
a) 10 cm
b) 20 cm
c) 25 cm
d) 40 cm
Ans ( a)
Solution
Part 12
In which year the concentration of hydrogen ion is highest
a) 2008
b) 2012
c) 2016
d) 2020
Ans (c)
Solution
Part 13
Find the order of reactivity of metals
a) Zn >Al >Cu
b) Al> Cu > Zn
c) Cu>Zn >Al
d) Al> Zn >Cu
Ans (d)
Solution
Part 14
Electronic Configuration. Formula
I A : 2,1. B:2,6 A2B
II B: 2,6. C : 2,7. B2C
III. C:2,7. D: 2,8,3. DC3
IV. E: 2,8,6. F : 2,8,8,2. FE3
Which is wrongly formed
a ) I and II
b) II and III
c) III and IV
d ) I and III
Solution
Part 15
Parent Acid. Parent Base
a) HCl KOH
b ) H2CO3. KOH
c ) H3PO4. K2SO4
d) H2SO4. K2SO4
Which of the option represent parent acid and parent base of potassium carbonate
Solution
Part 15
The table shows reaction of few elements with NaCl and NaOH Which of the elements form amphoteric oxides
Element. HCl. NaOH
A. ×. ×
B. ✓. ✓
C ✓. ×
D ✓. ✓
a) A and D
b ) B and D
c) A. and. C
d ) B and. C
Solution
Part 16
Element. Configuration
A. 2,8,1
B. 2,8,2
C. 2,8,7
D. 2,8,5
Identify the elements which combine ionic compounds
a) A and B
b ) B and. C
c ) A,B and D
d) A and C
Solution
Part 17
The equation given below depicts which type of chemical reaction
A+ BC -------- AC + B
a ) Combination
b ) Decomposition
c ) Displacement
d ) Combustion
Solution
Part 18
Identify which substance is oxidised and which one is reduced
CuO + H2 --------------- Cu + H2O
Oxidised. Reduced
a). CuO. H2
b) H2. CuO
c) H2O. Cu
d) Cu. H2O
Solution
Part 19
When a blue litmus paper is brought near the mouth of delivery tube
a) It turns red
b) It turns. green
c) It remains blue
d ) It will dry
Solution
Part 20
A child runs towards a plane mirror with a velocity of 2m/ s With what speed will her image move towards her
a) 2m/s
b) zero
c) 4 m/ s
d) 6 m/ s
Solution
Part 21
A tank of water appears to be 1 m deep Calculate its actual depth if refractive index of water is 4/ 3
a) 4/3 m
b ) 3/ 4 m
c) 5/3 m
d ) 3/ 5 m
Solution
Part 22
For a given lens new focal length f'of lens is
a) f'<f
b ) f'=1/f
c) f'=f
d) f'= 2f
Solution
Part 23
The pH of four substances are
Substance. pH
A. 8.7
B. 5.5
C. 1.7
D. 12.3
Identify the basic compounds from goven substance
a). A and B
b). B and C
c) A and D
d) C and D
Solution
Part 24
The electronic. configuration of
A ,B and C
A: 2,8. B: 2,8 ,7. C : 2,8,1
Which of the element is non metal
a) A
b) B
c) C
d) A and C
Solution
Part 25
An electrician want to use piece of element
to complete a broken circuit
Element. Insulator. Melting point Ductility
W. ✓. Low. ×
X. ×. High. ✓
Y ✓. Low. ✓
Z. ×. High. ×
Which element is used by electrician
a) W and Z
b ) X only
c ) Y only
d ) Z and X
Solution
Part 26
A convex lens of power 3 D. is held in contact with a concave lens of power -1D .At what distance from combination will beam get focused
a. 2 cm
b) 25 cm
c) 0.5 cm
d) 50 cm
Solution
Part 27
The velocity of light in a. glass is 2×10⁸ m/s in air is 3×10⁸ m/s .By how much an ink dot appears to be raised when covered by glass plate of 6 cm thick
Ratio of LCM and HCF of the least composite and least prime number is
a) 1:2
b) 2:1
c) 1:1
d) 1:3
Ans ( b)
Que 2
The value of k for which the lines
5x+7y= 3and 15x+21y = k coincide is
a) 9
b) 5
c ) 7
d) 18
Ans (a)
Que 3
Girl walks 200 m east and then 150 m towards north the distance of the girl from the starting point is
a) 350m
b) 250 m
c) 300 m
d) 225 m
Ans (b)
Que 4
The length of the diagonals of a rhombus are 24 cm and 32 cm then the length of the altitude of the rhombus is
a) 12 cm
b) 12.8 cm
c) 19 cm
d) 19.2 cm
Ans ( d )
Que 5
Two fair coins are tossed what is the probability of getting at the most one head
a) ¾
b) ¼
c) ½
d) ⅜
Ans (a)
Que 6
∆ABC ~∆PQR If AM and PN are attitudes of∆ABC and ∆PQR respectively. and
AB²: PQ² = 4:9 then AM : PN
a) 16:81
b) 4:9
c ) 3:2
d) 2:3
Ans ( d)
Que 7
If 2sin²B-cos²B =2 then value of B is
a) 0°
b) 90°
c) 45°
d) 30°
Ans ( b )
Que 8
Prime factors of the denominator of a rational number with the decimal expansion 44.1 23 are
a) 2,3
b) 2,3,5
c) 2,5
d) 3,5
Ans (c)
Que 9
The lines x=a and y= b are
a) intersecting
b) parallel
c) overlapping
d) none
Ans (a)
Que 10
The distance of point A(-5,6) from the origin is
a) 11 units
b) 61 units
c) √11 units
d) √61 units
Ans (d)
Que 11
If a²= 23/25 then a is
a) rational
b) irrational
c) whole number
d) integer
Ans (b )
Que 12
If LCM (x,18) =36 and HCF (x,18) = 2 then x is
a) 2
b) 3
c) 4
d) 5
Ans (c)
Que 13
In ∆ ABC right angled at B if tan A =√ 3 then cos A cosC - sin A sin C =
a) -1
b) 0
c) 1
d) √3/2
Ans (b)
Que 14
If the angles of ∆ABC are in ratio 1:1:2 (largest angle being angle C) then the value of secA/cosec B - tan A/ cot B is
a) 0
b)½
c) 1
d)√3/2
Ans (a)
Que 15
Number of revolutions made by a circular wheel of radius 0.7 m in rolling a distance of 176 m is
a) 22
b) 24
c) 75
d) 40
Ans (d )
Que 16
∆ABC is such that AB =3cm ,BC=2 cm ,
CA = 2.5 cm If ∆ ABC ~∆ DEF ,EF = 4 cm then perimeter of ∆DEF is
a) 7.5cm
b) 15 cm
c) 22.5 cm
d) 30 cm
Ans (b)
Solution
Que 17
If DE||BC ,AD= 3cm ,BD= 4cm and BC = 14 cm then DE equals
a) 7 cm
b) 6 cm
c) 4 cm
d) 3cm
Ans (b)
Solution
Que 18
If 4tan B = 3, then
(.4sinB-3cosB)/(4sinB +3cosB)
a) 0
b) ⅓
c) ⅔
d) ¾
Ans (a)
Solution
Que 19
One equation of a pair of independent linear equation is -5x+7y = 2 the second equation can be
a) 10x + 14y +4 = 0
b) -10 x- 14 y + 4 = 0
c) -10 x + 14 y + 4 = 0
d) 10x -14 y = - 4
Que 20
Letter of English alphabet is chosen at random what is the probability that it is a letter of the word"MATHEMATICS"?
a) 4/13
b) 9/26
c) 5/13
d) 11/26
Ans (a)
Solution
Que 21
Sum of the two numbers is 12 15 their HCF is 81 then the possible number of pairs of such numbers are
a) 2
b) 3
c) 4
d) 5
Que 22
Given below is the graph representing two linear equations by the lines AB and CD respectively what is the area of the triangle formed by these two lines and the line x =0
a) 3
b) 4
c) 6
d) 8
Ans (a)
Solution
Que 23
If tan A + cotA = 2 then tan²⁰ A+ cot²⁰ A.is
a) 0
b) 2
c) 20
d) 2²⁰
Ans (b)
Solution
Que 24
If 217 x+ 131 y = 913 ,
131x+ 217 y = 827 then x+y is
a) 5
b) 6
c) 7
d) 8
Ans ( a )
Solution
Que 25
The LCM of two prime numbers p and q (p>q) is 221 .Find value of 3p-q
a) 4
b) 28
c) 38
d) 48
Que 26
A card is drawn from a well shuffled deck of cards what is the probability that the card drawn is neither or king nor queen
a) 11/13
b) 12/ 13
c) 11/26
d) 11/ 52
Que 27
Two fair dice are rolled simultaneously the probability that 5 will come up at least once is
a) 5/36
b)11/36
c) 12/36
d) 23/36
Que 28
1+sin²A = 3 sinAcosA then values of cot A
a) -1,1
b) 0,1
c) 1,2
d) -1,-1
Ans ( c )
Solution
Que 29
Vertices of a parallelogram in order are A(1,2),B(4,y),C(x,6) D(3,5) then (x,y) is
a) (6,3)
b) (3,6)
c) (5,6)
d) ( 1,4)
Que 30
In the given figure ∆ACB =∆CDA ,AC = 8 cm ,AD = 3 cm then BD is
a) 22/3
b) 26/ 3
c) 55/3
d) 64/3
Que. 31
Definition of the perpendicular bisector of a line segment joining points A( 4,5) and
B( -2,3) is
a) 2x -y +7 = 0
b) 3x + 2y -7 = 0
c) 3x - y- 7 = 0
d) 3x + y - 7 = 0
Ans ( d )
Solution
Que 32
In the given figure ,D is mid point of BC then value of cot y ° / cot x° is
a) 2
b) 1/2
c) 1/3
d) 1/4
Ans ( a )
Solution
Que 33
Smallest number by which 1 /13 should be multiplied so that its decimal expansion terminates after two decimal places
a) 13/ 100
b) 13/ 10
c) 10/ 13
d) 100/13
Que 34
Side AB and BE of a right triangle right angled at B are of lengths 16 cm and 8 cm respectively the length of the side of the largest square FDGB that can be inscribed in a triangle ABE is
a) 32/3
b) 16/ 3
c ) 8/ 3
d) 4/ 3
Que 35
Point. P divides the line segment joining
R (-1,3) and S( 9,8) in ratio k:1 if P lies on the line x-y +2 =0 then value of k is
a) 2/3
b) 1/2
c) 1/3
d) 1/4
Ans ( a )
Solution
Que 36
In the figure given below ABCD is square of side 14 cm with E,F,G,H is the midpoints of the sides AB,BC,CD,DA respectively the area of the shaded portion is
a) 44
b) 49
c) 98
d) 49π/2
Que 37
Given below is the picture of the Olympic rings made by taking five congruent circles of radius 1 cm each intersecting in such a way that the chord formed by joining the point of intersection of two circles is also of length 1 cm the total area of all the dotted regions assuming the thickness of the things to be negligible is
a) 4( π/12-√3/4)
b) (π/6-√3/4)
c) 4( π/6-√3/4)
d) 8(π/6-√3/4)
Ans ( d)
Solution
Que 38
If 2 and ½ are the zeros of px²+ 5x +r then
a) p=r= 2
b) p=r= -2
c) p=2,r=-2
d) p=-2,r=2
An (b )
Solution
Que 39
Circumference of a circle is 100 cm the side of a square inscribed in a circle is
a) 50 √ 2
b) 100/π
c) 50√2/π
d) 100√2/ π
Ans ( c )
Solution
Que 40
The number of solutions of 3^(x+y) = 243
243^(x-y) =3 is
a) 0
b) 1
c) 2
d ) infinite
Que 41
The graph of the polynomial is given below
The zeros of polynomial are
a) -3,-2,0,0
b) -2,0,2,0
c) -3,-2,0,2
d) -3,2,0,2
Solution (c)
Solution----
Que 42
Find number of zeros of polynomial for given graph
a) 4
b) 2
c) 3
d) none
Solution
Que 43
Which of the following is not a quadratic polynomial
Solution-
Que 44
If 1 is the zero of the polynomial.
3x² +5x + a find the value of a
a) -8
b) 8
c) 7
d). - 7
Solution
Que 45
A polynomial whose sum and product of zeros is 3 and 2. Find the equation of polynomial
a ) x²+3x+2
b) x²-3x-2
c) x²-3x + 2
d) none of these
Solution--
Que 46
Find a quadratic polynomial whose zeros are 3 and 1/4
a) 2x²+13x -3 = 0
b ) 4x² + 13 x +3 = 0
c ) 4x²-13 x -3 = 0
d) 4x² -13 x +3 = 0
Que 47
If 2 and 3 are the zeros of the polynomial 3x²-2kx+2m = 0 then value of k and m are
a) 15,9/2
b) 15/2 ,- 9
c) 15/2,. 9
d ) none
Solution
Que 48
If a and b are the zeros of the equation
x²-p(x+1)+ c = 0
Then ( a+1) ( b+1) = 0 then value of c is
a ) -1
b) 1
c) 1/2
d) -1/2
Solution
Part 49
If one zero of the polynomial 2x²- 5x -(2x+1) is twice the other zero then value of k