UKSSSC Scaler Exam Previous Year Question Paper with Detailed Solutions

UKSSSC Scaler Exam Previous Year Question Paper with Detailed Solutions

If you are preparing for the UKSSSC Scaler Exam, then this Previous Year Question Paper with Answers and Detailed Solutions will help you improve your preparation level. This paper contains important Physics, Chemistry, Biology and Mathematics questions asked in competitive examinations.

UKSSSC Scaler PDF | UKSSSC Paper with Solution | UKSSSC Exam Notes

In this post, you will get:-

100 Important MCQs
Detailed Solutions
Physics, Chemistry, Biology and Mathematics Questions
Exam-Oriented Practice Set
One-Liner Concepts for Revision

These questions are based on previous year exam patterns and important competitive exam topics.

Q1. A pump lifts 1000 kg of water to a height of 12 m in 20 minutes. The power of pump will be (Take g = 10 m/s²)

(A) 120 Watt

(B) 150 Watt

(D) 80 Watt

Answer: (C) 100 Watt

Q2. The first biosphere reserve established in Bharat is -

(A) Nanda Devi

(B) Gulf of Mannar

(D) Manas

Answer: (C) Nilgiri

Q3. A student carries out an experiment and plots the V – I graph of three samples with resistances R1,R2 and R3 respectively. Which of the following option is true?

(A) R1= R2= R3

(B) R1>R2>R3

(D) R3>R2>R1

Answer: (D) R3>R2>R1

Q4. Match List – I with List – II and choose the correct answer from the codes given below the lists:

List – I List – II

a. Human blood 5.0

b. Black coffee 6.4

c. Lime water 7.4

d. Human saliva 10.4

Code

a b c d

(A) 3 1 4 2

(B) 4 2 3 1

(D) 2 3 4 1

Answer: (A) 3 1 4 2

Q5. Following are two statements identified as Assertion (A) and Reason (R). Choose the correct answer as per the given code.

Assertion (A): Although India has only 2.4 percent of the world's land area, its share of global species diversity is an impressive 8.1 percent.

Reason (R): India is one of the 12 mega diversity countries of the world.

Code:
(A) Both (A) and (R) are correct and (R) is the correct explanation of (A)
(B) Both (A) and (R) are correct, but (R) is not the correct explanation of (A)
(C) (A) is correct, but (R) is wrong
(D) Both (A) and (R) are wrong

Answer: (A) Both (A) and (R) are correct and (R) is the correct explanation of (A)

Q6. Choose the correct option whether the following statements are true or false respectively.

1. The bluish colour of water in deep sea is due to scattering of light.

2. The bluish colour of water in deep sea is due to absorption of light by the sea.

3. The twinkling of stars is due to atmospheric refraction of star light.

4.The twinkling of stars is due to internal reflection of light by clouds.

(A) 1 – True, 2 – False, 3 – True, 4 – False
(B) 1 – True, 2 – False, 3 – False, 4 – True
(C) 1 – False, 2 – True, 3 – True, 4 – False
(D) 1 – False, 2 – True, 3 – True, 4 – True

Answer: (A) 1 – True, 2 – False, 3 – True, 4 – False

Q7. Match List – I with List – II and select the correct answer by using codes given below the Lists.

List – I (Constituents of Petroleum)
a. Kerosene
b. Paraffin wax
c. Diesel
d. Bitumen

List – II (Uses)

Ointments
Electric generators
Paints
Jet Aircrafts

Code:
(A) a-2, b-1, c-4, d-3
(B) a-3, b-4, c-1, d-2
(C) a-1, b-2, c-3, d-4
(D) a-4, b-1, c-2, d-3

Answer: (D) a-4, b-1, c-2, d-3

Q8. Which of the following statement(s) is/are correct?

i. Soap micelles can scatter light.
ii. Soap solution appears cloudy.
iii. Detergents are generally sodium salt of sulphonic acid.
iv. Only soap emulsify the oily dirt while detergent not.

--Select the correct answer by using the code given below:

Code:
(A) Only i, ii and iii
(B) Only i and ii
(C) Only i and iv
(D) Only ii

Answer: (A) Only i, ii and iii

Q9. What is the composition of aqua regia?

(A) 4 : 3 ratio of conc. HCl and conc. HNO₃
(B) 3 : 1 ratio of conc. HCl and conc. HNO₃
(C) 1 : 1 ratio of conc. HCl and conc. HNO₃
(D) 1 : 3 ratio of conc. HCl and conc. HNO₃

Answer: (C) 1 : 1 ratio of conc. HCl and conc. HNO₃

Q10. Blood group of a child is 'A' and that of mother is also 'A'. What will be the possibility of blood groups in father?

(A) A, AB
(B) A, B, AB, O
(C) A, B, O
(D) A, B

Answer: (B) A, B, AB, O

Q11. Right hand thumb rule is used to calculate the direction of -

(A) Electric field
(B) Magnetic field
(C) Force field
(D) None of these

Answer: (B) Magnetic field

Q12. Identify the given following diagram and choose the correct option indicating the parts labeled as 1 to 4.

Options:
(A) Oviduct, Fimbriae, Cervix and Fundus
(B) Oviduct, Cervix, Fundus and Fimbriae
(C) Fundus, Oviduct, Cervix and Fimbriae
(D) Cervix, Fimbriae, Oviduct and Fundus

Answer: (A) Oviduct, Fimbriae, Cervix and Fundus

Q13. Select the false statement.

(A) Cyanobacteria are not important for nitrogen fixation.
(B) Copper is required in leg haemoglobin synthesis.
(C) Molybdenum functions alternately as an electron acceptor and donor in the reduction of nitrogen ammonia.
(D) Cobalt is important for plants capable of fixing molecular nitrogen.

Answer: (A) Cyanobacteria are not important for nitrogen fixation.

Q14. In series combination of resistors -

(A) Current remains same
(B) Voltage remains same
(C) Current and voltage both remain same
(D) None of the above

Answer: (A) Current remains same

Q15. If a wire is stretched to make it 0.1% longer, its resistance will -

(A) Decrease by 0.2%
(B) Increase by 0.2%
(C) Remain unchanged
(D) Increase by 0.1%

Answer: (B) Increase by 0.2%

Q16. Light inhibits the growth of -

(A) Auxins
(B) Anthocyanins
(C) Carotenes
(D) Chlorophyll

Answer: (A) Auxins

Q17. From principle of Archimedes, Apparent weight of solid will be in a liquid,

W = weight of solid, D = density of solid, d = density of liquid

(A) W(1+d\D )
(B) W(1-D\d )
(C) W(1+D\d )
(D) W(1-d\D )

Answer: (D) W(1-d\D )

Q18. Which of the following standard atom is used in defining ‘atomic mass unit’ (amu)?

(A) ¹H
(B) ²He
(C) ¹²C
(D) ¹⁶O

Answer: (C) ¹²C

19. Which of the following is the correct order of reactivity of metals?

(A) Au > Ag > Hg > Cu
(B) Pb > K > Na > Au
(C) Mg > Al > Zn > Pb
(D) Hg > Cu > Pb > Fe

Answer: (C) Mg > Al > Zn > Pb

Q20. A small object is placed at a distance of 7.2 cm from a magnifier of focal length 8.0 cm, value of the linear magnification will be

(A) 15
(B) 20
(C) 30
(D) 10

Answer: (D) 10

Q21. Match List – I with List – II and select the correct answer by using the codes given below the Lists.

List – I
a. Discovery of Neutron
b. Discovery of proton
c. Charge on electron
d. Charge to mass ratio of electron

List – II

E. Goldstein
James Chadwick
J. J. Thomson
R. A. Millikan

Code:

a b c d
(A) 1 2 3 4
(B) 2 1 4 3
(C) 2 1 4 3
(D) 1 3 2 4

Answer: (C) 2 1 4 3

Q22. In aerial roots of some Orchids and other epiphytic plants, a specialized water absorbing tissue is present.

(A) Phellem
(B) Motor cells
(C) Velamen
(D) Passage cells

Answer: (C) Velamen

Q23. A car starts from rest and accelerates with 10 m/s². The distance covered in 5th second will be -

(A) 70 m
(B) 40 m
(C) 90 m
(D) 45 m

Answer: (D) 45 m

Q24. Which of the following plant does not exhibit entomophily?

(A) Colocasia
(B) Fig
(C) Maize
(D) Salvia

Answer: (C) Maize

Q25. Black-Striped Tiger population can be seen in the wild only, at which of the following?

(A) Sunderbans
(B) Simlipal
(C) Panna
(D) Bor

Answer: (B) Simlipal

Q26. When there is no current in the 10 Ω resistor in the circuit given below, the value of resistance ‘R’ in the circuit will be

(A) 10 Ω

(B) 50 Ω
(C) 60 Ω
(D) 20 Ω

Answer: (C) 60 Ω

Q27. Which of the following is related with climate cycle in Pacific Ocean with a global impact on weather patterns?

(A) Global warming
(B) El Nino effect
(C) Green house effect
(D) Ozone depletion

Answer: (B) El Nino effect

Q28. Temporary hardness of water is due to

(A) Chlorides and bicarbonates of Na and K
(B) Chlorides and sulphates of Ca and Mg
(C) Bicarbonates of Ca and Mg
(D) Chlorides and sulphates of Mg and K

Answer: (C) Bicarbonates of Ca and Mg

Q29. The structure called radula relates to which of the following phyla?

(A) Hemichordata
(B) Echinodermata
(C) Arthropoda
(D) Mollusca

Answer: (D) Mollusca

Q30. In which of the following alloy of (Ag + Sn + Hg) is used?

(A) For making ornaments

(B) For filling of teeth

(D) For manufacturing of medicines

Answer: (B) For filling of teeth

Q31. Match List–I with List–II.

List–I

a. Myopia
b. Hypermetropia
c. Human eye
d. Total internal reflection

List–II

1.Camera lens

2.Concave lens

3.Optical fibre

4.Convex lens

Code:
a b c d
(A) 3 4 2 1
(B) 2 4 1 3
(C) 4 1 2 3
(D) 1 2 3 4

Answer: (B) 2 4 1 3

Q32. Name the given placentation found in cucumber ovary.

(A) Basal

(B) Parietal

(D) Free central

Answer: (B) Parietal

Q33. Match List–I with List–II and choose the correct answer by using the codes given below the Lists.

List–I (Compound)

a. PCl₅
b. SF₆
c. BF₃
d. ClF₃

List–II (Structure)

1.Octahedral

2.Trigonal planar

3.Trigonal bipyramidal

4.T-shape

Code:

a b c d

(A) 1 3 4 2

(B) 1 4 3 2

(D) 3 2 1 4

Answer: (C) 3 1 2 4

Q34. Which of the following coal has maximum percent of carbon?

(A) Peat
(B) Bituminous
(C) Anthracite
(D) Lignite

Answer: (C) Anthracite

Q35. Study the following diagram and choose the correct option showing the number of segments in the parts labeled as 1 and 2.

(A) 26 and 7
(B) 23 and 10
(C) 25 and 8
(D) 33 and 7

Answer: (C) 25 and 8

Q36.What is the angular momentum of electron according to Bohr’s atomic model?

(A) nh / 4π

(B) nh / 2π

(D) nh² / 4π²

Answer: (B) nh / 2π

Q37. Magnetic lines of force do not intersect because

(A) These are parallel lines

(B) These are imaginary lines

(D) None of the above

Answer: (C) There will be two directions of magnetic field at the point of intersection

Q38. Assertion and Reason -

Assertion (A): In Rutherford scattering experiment most of the α-particles pass through gold foil undeflected.

Reason (R): Radius of nucleus is of the order of (10^{-15}) m while radius of atom is of the order of (10^{-10}) m.

Code:
(A) ‘A’ is correct, but ‘R’ is wrong
(B) ‘R’ is correct, but ‘A’ is wrong
(C) Both ‘A’ and ‘R’ are correct and ‘R’ is correct explanation of ‘A’
(D) Both ‘A’ and ‘R’ are correct but ‘R’ is not correct explanation of ‘A’

Answer: (C) Both ‘A’ and ‘R’ are correct and ‘R’ is the correct explanation of ‘A’.

39. Match the following

Column – A

1.Project Elephant
2. Project Tiger
3.Gir Lion Project
4.National Wildlife Action Plan
5.Forest Conservation Act

Column – B

a. 1972
b. 1991–92
c. 1973
d. 1980
e. 1982

Options

1 2 3 4 5

(A) a b c d e
(B) b c a e d
(C) b a c d e
(D) c b e a d

Answer: (B) b c a e d

Q40. Consider the following statements:

In diamond, each carbon atom is bonded to four other carbon atoms forming a rigid three-dimensional structure.
In graphite, each carbon atom is bonded to three other carbon atoms in the same plane giving it a hexagonal array.

Which of the above statement is/are correct?

(A) Only 1
(B) Only 2
(C) Both the statements 1 and 2 are correct
(D) Both the statements 1 and 2 are incorrect

Answer: (C) Both the statements 1 and 2 are correct.

Q41. The focal lengths of a convex lens for blue and red colours of light are f₆ and fᵣ respectively and those of a concave lens are F₆ and Fᵣ.

(A) f₆ < fᵣ and F₆ < Fᵣ

(B) f₆ < fᵣ and F₆ > Fᵣ

(D) f₆ < fᵣ and (F₆ < Fᵣ

Answer: (B) f₆ < fᵣ and f₆ > Fᵣ

Q42. Name the root system developing in the given Bryophyllum leaf diagram.

(A) Adventitious roots
(B) Climbing roots
(C) Tap roots
(D) Stilt roots

Answer: (A) Adventitious roots

Q43. Which of the following statement is not correct?

(A) Washing soda is used in the glass industry.
(B) Plaster of Paris is used for removing permanent hardness of water.
(C) Baking powder is a mixture of sodium hydrogen carbonate and tartaric acid.
(D) Bleaching powder is used to make drinking water free from germs.

Answer: (B) Plaster of Paris is used for removing permanent hardness of water.

Q44. Choose the correct option whether the following statements are True or False respectively.

For human ears the audible range is 20 Hz to 20000 Hz.
Ultrasound has frequency of vibration above 20000 Hz.
1 Hz is equal to 1 vibration per minute.
1 Hz is equal to 60 vibration per minute.

Options

(A) 1 – True, 2 – True, 3 – True, 4 – False
(B) 1 – True, 2 – False, 3 – True, 4 – False
(C) 1 – False, 2 – True, 3 – False, 4 – True
(D) 1 – True, 2 – True, 3 – False, 4 – True

Answer: (D) 1 – True, 2 – True, 3 – False, 4 – True

Q45. Which of the following is a disorder caused due to the absence of one of the X-chromosomes?

(A) Phenylketonuria
(B) Turner’s syndrome
(C) Down’s syndrome
(D) Thalassemia

Answer: (B) Turner’s syndrome

Q46. Which of the following is correct order of energy of orbitals?

(A) 3p > 3d > 4s > 4p
(B) 3p < 3d < 4s < 4p
(C) 3p > 4s > 3d > 4p
(D) 3p < 4s < 3d < 4p

Answer: (D) 3p < 4s < 3d < 4p

Q47. Image formed by a convex lens is virtual and erect, when object is placed

(A) at F
(B) between F and the lens
(C) at 2F
(D) beyond 2F

Answer: (B) between F and the lens

Q48. Given below are two statements, one is Assertion (A) and the other is Reason (R). Answer by using code given below.

Assertion (A): Tooth decay starts when the pH of the mouth is lower than 5.5.

Reason (R): Enamel, made up of calcium phosphate, is corroded when the pH of the mouth is below 5.5.

(A) (A) is correct, but (R) is wrong
(B) (R) is correct, but (A) is wrong
(C) Both (A) and (R) are correct and (R) is the correct explanation of (A)
(D) Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Answer: (C) Both (A) and (R) are correct and (R) is the correct explanation of (A)

Q49. Which of the following is a distinguishing character of Toad?

(A) Skin moist and both jaws toothless
(B) Snout conical and tongue bifid
(C) Snout ovoid and a paratoid gland
(D) Males with vocal sacs

Answer: (C) Snout ovoid and a paratoid gland

Q50. A car goes from station A to station B with a constant speed of 40 km h⁻¹ and returns back with a constant speed of 60 km h⁻¹.

a. Average speed for the entire journey is 50 km h⁻¹.
b. Average velocity for the entire journey is zero km h⁻¹.

For the given statements, which of the following option is correct?

(A) Statement (a) is correct and statement (b) is incorrect.
(B) Statement (a) is incorrect and statement (b) is correct.
(C) Both the statements (a) and (b) are correct.
(D) Both the statements (a) and (b) are incorrect.

Answer: (B) Statement (a) is incorrect and statement (b) is correct.

51. The standard deviation of first n natural numbers is

(A) √n^2-1 \ 12
(B) √n^2+1 \ 14
(C) n^2+1 / 16
(D) None of these

Answer: (A) √n^2-1 \ 12

Q52. In the given figure, (AB = BC) and (AC = CD). Then (\angle BAD : \angle ADB) is -

(A) (2:1)
(B) (3:1)
(C) (4:1)
(D) (5:1)

Answer: (A) (2:1)

Q53. In the given figure, if (BE perp AC), (angle ECB = 40⁰) and (angle DAC = 30⁰), then what are the values of alpha and beta respectively?

(A) 20⁰ , 40⁰
(B) 50⁰ , 80⁰
(C) 80⁰ , 50⁰
(D) 90⁰ , 80⁰

Answer: (B) 50⁰, 80⁰

Q54. If there are six students of equal height, 6 feet each, what will be their mean deviation?

(A) 6 feet
(B) √6 feet
(C) 36 feet
(D) 0

Answer: (D) 0

Q55. If A and B are two independent events such that P(A) = 1\5 P(A U B) = 7\10, then P(not in B) is equal to -

(A) 3\8
(B) 2\7
(C) 7\9
(D) None of these

Answer: (A) 3/8

Q56. Consider the two arithmetic progressions (a1, a1 + d, a1 + 2d, ... and b1, b1 + d', b1 + 2d', ......) Let the (n^th) terms of these two progressions be equal, then which of the following cannot be true?

(A) (a1 = 7, b1 = 3, d = 1, d' = 2)

(B) (a1 = 3, b1 = 7, d = 7, d' = 2)

(D) (a1 = 3, b1 = 7, d = 3, d' = 2)

Answer: (B) (a1 = 3, b1 = 7, d = 7, d' = 2)

Q57. What number should be added to (2x^3 - 3x^2 + x), so that when the resulting polynomial is divided by ((x - 2)) the remainder is 3?

(A) (-5)
(B) (-7)
(C) (-3)
(D) (-9)

Q58. Which of the following is false?

(A) Every rectangle is a parallelogram

(B) Every square is a parallelogram

(D) Every rhombus is a square

Answer: (D) Every rhombus is a square

Q59. The locus of a point which moves so that its distance from the axis of (x) is always one half its distance from the origin will be -

(A) (x^2 = 3y^2)

(B) (x^2 = y^2)

(D) (x = 3y)

Q60. Find the values of (a) and (b), if the symbols have their usual meanings.

(A) (a = 3, b = 2)

(B) (a = 9, b = 6)

(D) (a = 9, b = 3)

Answer: (D) (a = 9,\ b = 3)

Q61. On XY-plane, if a rocket travelling along the line (x = 1) gets reflected from the line (x + y = 1), then the equation of the line along which the reflected rocket travels is -

(A) (x + y = 1) line

(B) X-axis

(D) None of these

Answer: (B) X-axis

Q62. If (x = 2 + √3), then the value of [x^2 + 1 \ x^2] will be -

(A) 14

(B) 18

(D) 14

Answer: (A) 14

Q63. If 1 is the remainder when [x^3 + ax^2 + 2x + 1] is divided by ((x - 2)), then the value of (a) is -

(A) 1

(B) (-3)

(D) 0

Answer: (B) (-3)

Q64. The sum of the digits of a natural number ((10^n - 1)) is 369, where (n) is a natural number. The value of (n) is -

(A) 123

(B) 41

(D) 213

Answer: (B) 41

Q65. Let aₙ be an arithmetic progression and a₆ = 32 Also, a₅ - a₃ = 10, then the value of
(a₈ \ 7) is -

(A) 21

(B) 6

(D) 42

Answer: (B) 6

Q66. Let quadrilateral ABCD be inscribed in a circle with centre O, then consider the following two statements
P : ∠ABC + ∠ADC = 180°
Q : ∠BAD + ∠BCD = 180°
Choose the correct statement from the following.

(A) Only P is true
(B) Only Q is true
(C) Both P and Q are true
(D) Neither P nor Q is true
Answer: (C) Both P and Q are true

Q67. On the basis of given figure, which of the following option is not true?

(A) sin α = sin β
(B) sin θ = sin α
(C) sin θ > sin α
(D) tan α = tan θ
Answer: (C) sin θ > sin α

Q68. Choose the correct option which represents the polar form of the equation
x² – y² = 2ay

(A) rcosθ = 2asin²θ
(B) rcosθ = 2asinθ
(C) r² = a²cos2θ
(D) rcos2θ = asinθ
Answer: (A) rcosθ = 2asin²θ

Q69. There are some examinees in the two centres 1 and 2. To make the number of examinees equal in each centre, 10 examinees are sent from centre 1 to 2. But if 20 examinees are sent from centre 2 to 1, the number of examinees in centre 1 becomes double the number of examinees in centre 2. The number of examinees in the centres 1 and 2 respectively are -

(A) 100 and 50
(B) 130 and 40
(C) 80 and 100
(D) 100 and 80
Answer: (A) 100 and 50

Q70. From a group of 10 persons consisting of 5 professors, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each category is -

(A) 1/2
(B) 1/3
(C) 3/5
(D) None of these
Answer: (B) 1/3

Q71. The set of real values of x satisfying |x − 1| ≤ 3 and |x − 1| ≥ 1 is -

(A) [2, 4]
(B) [−2, 0] ∪ [2, 4]
(C) (−∞, 2] ∪ [4, ∞)
(D) None of the above
Answer: (B) [−2, 0] ∪ [2, 4]

Q72. n² − 1 is divisible by 8, if n is -

(A) An even integer
(B) An odd integer
(C) A natural number
(D) None of the above
Answer: (B) An odd integer

Q73. Consider the following two quadratic equations:

x² − αx + 6 = 0 (1)
x² − 6x + β = 0 (2)
Above equations have a common root which is 2. Then choose the correct option.
(A) Other root of equation (1) is 5 and of equation (2) is 6
(B) Both the equations have common other root
(C) Other root of equation (1) is 4 and of equation (2) is 5
(D) Other root of equation (1) is 3 and of equation (2) is 4
Answer: (C) Other root of equation (1) is 4 and of equation (2) is 5

Q74. The arithmetic mean of the data represented by the graph will lie in which class interval?

(A) 150 – 200
(B) 200 – 250
(C) 250 – 300
(D) 300 – 350
Answer: (B) 200 – 250

Q75. If the sum of n terms of an arithmetic progression is nP + ½ n(n – 1)Q, where P and Q are constants, then common difference of the progression is -

(A) P
(B) Q
(C) P + Q
(D) P – Q
Answer: (B) Q

Q76. A square of 14 cm side has four quadrant circles on its all corners of equal radius. Find the area of shaded portion as shown in the diagram.

(A) 154 sq.cm
(B) 42 sq.cm
(C) 49 sq.cm
(D) 196 sq.cm
Answer: (A) 154 sq.cm

Q77. If α + β = 90°, then the maximum value of sinα sinβ is -

(A) ½
(B) 1
(C) None of these
Answer: (A) ½

Q78. The quadratic equation ( ax^2 + 3x + 1 = 0 ) has irrational roots, if -

(A) ( a = 4 )
(B) ( a = -4 )
(C) ( a = 7 )
(D) ( a = 2 )
Answer: (C) ( a = 7 )

Q79. The points (0, −1), (2, 1), (0, 3) and (−2, 1) are the vertices of a -

(A) Parallelogram
(B) Square
(C) Rectangle
(D) Rhombus
Answer: (A) Parallelogram

Q80. The number of solution(s) of the pair of linear equations in two variables in the case of consistency is/are -

(A) Unique or only
(B) Infinitely many
(C) Both (A) and (B)
(D) Zero or no solution
Answer: (C) Both (A) and (B)

Q81. The mean and variance of 7 observations are 8 and 16 respectively. If 5 of the observations are 2, 4, 10, 12 and 14, then remaining two observations are -

(A) 16, 6
(B) 16, 8
(C) 6, 6
(D) 16, 18
Answer: (A) 16, 6

Q82. The number of distinct roots of the quadratic equation ( |x^2 - 5x| + 4 = 0 ) is -

(A) Exact two
(B) More than four
(C) Three
(D) Four
Answer: (A) Exact two

Q83. A bus travels a distance of 120 km at a uniform speed. If the speed had been 6 km/h less, then it would have taken 3 hours more to cover the same distance. Then the quadratic equation which gives the speed ( x ) of bus is -

(A) ( 3x^2 - 12x - 480 = 0 )
(B) ( 3x^2 - 8x - 1280 = 0 )
(C) ( 3x^2 + 12x - 480 = 0 )
(D) ( x^2 - 8x + 1280 = 0 )
Answer: (A) ( 3x^2 - 12x - 480 = 0 )

Q84. For any two distinct real numbers a and b, consider the following two statements:
P: if ∃ n ∈ N such that na > b then a < b.
Q: if ∃ z ∈ Z such that za > b then a > b.
Choose the correct statement from the following.

(A) P is necessarily true
(B) Q is necessarily true
(C) P and Q both are necessarily true
(D) P and Q both are not necessarily true
Answer: (D) P and Q both are not necessarily true

Q85. Let (α + β) be a root of a polynomial R(x), where R(x) = p(x) + q(x) then which of the following is necessarily true?

(A) α is a root of p(x) and β is a root of q(x)
(B) α is a root of q(x) and β is a root of p(x)
(C) α, β is a root of A(x) = p(x)q(x)
(D) None of the above
Answer: (D) None of the above

Q86. Which of the following statement is true for the set of real numbers R, set of rational numbers Q and set of irrational numbers Qᶜ?

(A) Q ∩ Qᶜ = ∅
(B) Q ∪ Qᶜ = R
(C) Q ⊂ Qᶜ
(D) Qᶜ ⊂ Q
Answer: (B) Q ∪ Qᶜ = R

Q87. In the given figure, ∠BAC = 60° and ∠ABC = 65°, then

(A) CF > AF
(B) CF < AF
(C) CF = AF
(D) CF + AF < AC
Answer: (A) CF > AF

Q88. If in a biased coin the probability of the occurrence of tail is thrice the probability of head, then the probability of getting at least one head in three tosses of this coin is

(A) 37/64
(B) 9/64
(C) 63/64
(D) 7/8
Answer: (A) 37/64

Q89. For the triangle A

Which one of the following four options has different value from the other three options?

(A) sin²A + sin²B
(B) cos²A + cos²B
(C) tanA · tanB
(D) sin²A + cos²B
Answer: (D) sin²A + cos²B

Q90. If a and b are real numbers then the system of straight lines
x = a → 1
2x = b → 2

(A) has a unique solution if 2a = b
(B) has infinitely many solutions if 2a = b
(C) has no solution if 2a = b
(D) has infinitely many solutions if 2a ≠ b
Answer: (B) has infinitely many solutions if 2a = b

Q91. Let a sequence be defined as follows:
a₁ = 1, aₙ = aₙ₋₁ + 2, for n ≥ 2, then the value of a₅ is

(A) 7
(B) 8
(C) 9
(D) 10
Answer: (C) 9

Q92. If cosθ = −1, then θ = ?

(A) (2n + 1)π, n ∈ Z
(B) 2nπ, n ∈ Z
(C) (2n + 1)π/2, n ∈ Z
(D) None of the above
Answer: (A) (2n + 1)π, n ∈ Z

Q93. In the given figure, if line segment AB is parallel to CD and O is midpoint of BC. Then which of the following option is not correct?

(A) O is midpoint of line segment AD
(B) △AOB ≡ △DOC
(C) ∠AOB ≠ ∠DOC
(D) ∠ABO = ∠DCO
Answer: (C) ∠AOB ≠ ∠DOC

Q94. Let the quadratic equation ax² + bx + c = 0 has only positive real roots, then

(A) a > 0, b > 0, c > 0
(B) a < 0, b < 0, c > 0
(C) a > 0, b < 0, c > 0
(D) a < 0, b > 0, c > 0
Answer: (C) a > 0, b < 0, c > 0

Q95. Let α be the smallest non-negative rational number, then the correct statement is

(A) α > 0
(B) α = 0
(C) α = 1
(D) α cannot be determined
Answer: (B) α = 0

Q96. The area of the triangle surrounded by the straight lines y = x, y = −x and y = 5 is

(A) 10 unit²
(B) 15 unit²
(C) 25 unit²
(D) 30 unit²
Answer: (C) 25 unit²

Q97. Which of the following implication is not true for a pair of linear equations in two variables ( a1x + b1y = c1 ) and ( a2x + b2y = c2 )?

(A) a1 \ a2 ≠ b1 \ b2 → unique solution
(B) a1 \ a2 = b1 \ b2 = c1 \ c2 → infinitely many solutions
(C) a1 \ a2 = b1 \ b2 ≠ c1 \ c2 → no solution
(D) None of the above
Answer: (D) None of the above

Q98. From the top of a tower of height ( h ), angles of depression of two points, which are in line with the foot of the tower are ( \alpha ) and ( \beta ) (( \beta > \alpha )). Then the distance between the points is -

(A) h(tan alpha + tan beta)
(B) h(cot alpha + cot beta)
(C) h(cot alpha - cot beta)
(D) htan alpha.tan beta
Answer: (C) h(cot alpha - cot beta)

Q99. Two figures are called similar if and only if they have -

(A) Same size but not necessarily the same shape
(B) Same shape and same size
(C) Same shape but not necessarily the same size
(D) Neither same shape nor same size
Answer: (C) Same shape but not necessarily the same size

Q100. The probability of having 53 Sundays in a leap year is -

(A) 1\7
(B) 2\7
(C) 3\7
(D) 4\7
Answer: (B) 2\7

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UKSSSC Scaler Exam Previous Year Question Paper with Detailed Solutions

Q1. A pump lifts 1000 kg of water to a height of 12 m in 20 minutes. The power of pump will be (Take g = 10 m/s²)

Q2. The first biosphere reserve established in Bharat is -

Q3. A student carries out an experiment and plots the V – I graph of three samples with resistances R1,R2 and R3 respectively. Which of the following option is true?

Q4. Match List – I with List – II and choose the correct answer from the codes given below the lists:

Q5. Following are two statements identified as Assertion (A) and Reason (R). Choose the correct answer as per the given code.

Q6. Choose the correct option whether the following statements are true or false respectively.

Q7. Match List – I with List – II and select the correct answer by using codes given below the Lists.

Q8. Which of the following statement(s) is/are correct?

Q9. What is the composition of aqua regia?

Q10. Blood group of a child is 'A' and that of mother is also 'A'. What will be the possibility of blood groups in father?

Q11. Right hand thumb rule is used to calculate the direction of -

Q12. Identify the given following diagram and choose the correct option indicating the parts labeled as 1 to 4.

Q13. Select the false statement.

Q14. In series combination of resistors -

Q15. If a wire is stretched to make it 0.1% longer, its resistance will -

Q16. Light inhibits the growth of -

Q17. From principle of Archimedes, Apparent weight of solid will be in a liquid,

Q18. Which of the following standard atom is used in defining ‘atomic mass unit’ (amu)?

19. Which of the following is the correct order of reactivity of metals?

Q20. A small object is placed at a distance of 7.2 cm from a magnifier of focal length 8.0 cm, value of the linear magnification will be

Q21. Match List – I with List – II and select the correct answer by using the codes given below the Lists.

Q22. In aerial roots of some Orchids and other epiphytic plants, a specialized water absorbing tissue is present.

Q23. A car starts from rest and accelerates with 10 m/s². The distance covered in 5th second will be -

Q24. Which of the following plant does not exhibit entomophily?

Q25. Black-Striped Tiger population can be seen in the wild only, at which of the following?

Q26. When there is no current in the 10 Ω resistor in the circuit given below, the value of resistance ‘R’ in the circuit will be

Q27. Which of the following is related with climate cycle in Pacific Ocean with a global impact on weather patterns?

Q28. Temporary hardness of water is due to

Q29. The structure called radula relates to which of the following phyla?

Q30. In which of the following alloy of (Ag + Sn + Hg) is used?

Q31. Match List–I with List–II.

Q32. Name the given placentation found in cucumber ovary.

Q33. Match List–I with List–II and choose the correct answer by using the codes given below the Lists.

Q34. Which of the following coal has maximum percent of carbon?

Q35. Study the following diagram and choose the correct option showing the number of segments in the parts labeled as 1 and 2.

Q36.What is the angular momentum of electron according to Bohr’s atomic model?

Q37. Magnetic lines of force do not intersect because

Q38. Assertion and Reason -

39. Match the following

Column – A

Column – B

Options

Q40. Consider the following statements:

Q42. Name the root system developing in the given Bryophyllum leaf diagram.

Q43. Which of the following statement is not correct?

Q44. Choose the correct option whether the following statements are True or False respectively.

Options

Q45. Which of the following is a disorder caused due to the absence of one of the X-chromosomes?

Q46. Which of the following is correct order of energy of orbitals?

Q47. Image formed by a convex lens is virtual and erect, when object is placed

Q48. Given below are two statements, one is Assertion (A) and the other is Reason (R). Answer by using code given below.

Q49. Which of the following is a distinguishing character of Toad?

Q50. A car goes from station A to station B with a constant speed of 40 km h⁻¹ and returns back with a constant speed of 60 km h⁻¹.

51. The standard deviation of first n natural numbers is

Q52. In the given figure, (AB = BC) and (AC = CD). Then (\angle BAD : \angle ADB) is -

Q53. In the given figure, if (BE perp AC), (angle ECB = 40⁰) and (angle DAC = 30⁰), then what are the values of alpha and beta respectively?

Q54. If there are six students of equal height, 6 feet each, what will be their mean deviation?

Q56. Consider the two arithmetic progressions (a1, a1 + d, a1 + 2d, ... and b1, b1 + d', b1 + 2d', ......) Let the (n^th) terms of these two progressions be equal, then which of the following cannot be true?

Q57. What number should be added to (2x^3 - 3x^2 + x), so that when the resulting polynomial is divided by ((x - 2)) the remainder is 3?

Q58. Which of the following is false?

Q59. The locus of a point which moves so that its distance from the axis of (x) is always one half its distance from the origin will be -

Q60. Find the values of (a) and (b), if the symbols have their usual meanings.

Q61. On XY-plane, if a rocket travelling along the line (x = 1) gets reflected from the line (x + y = 1), then the equation of the line along which the reflected rocket travels is -

Q62. If (x = 2 + √3), then the value of [x^2 + 1 \ x^2] will be -

Q63. If 1 is the remainder when [x^3 + ax^2 + 2x + 1] is divided by ((x - 2)), then the value of (a) is -

Q64. The sum of the digits of a natural number ((10^n - 1)) is 369, where (n) is a natural number. The value of (n) is -

Q65. Let aₙ be an arithmetic progression and a₆ = 32 Also, a₅ - a₃ = 10, then the value of (a₈ \ 7) is -

Q66. Let quadrilateral ABCD be inscribed in a circle with centre O, then consider the following two statementsP : ∠ABC + ∠ADC = 180°Q : ∠BAD + ∠BCD = 180°Choose the correct statement from the following.

Q67. On the basis of given figure, which of the following option is not true?

Q68. Choose the correct option which represents the polar form of the equationx² – y² = 2ay

Q70. From a group of 10 persons consisting of 5 professors, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each category is -

Q71. The set of real values of x satisfying |x − 1| ≤ 3 and |x − 1| ≥ 1 is -

Q72. n² − 1 is divisible by 8, if n is -

Q73. Consider the following two quadratic equations:

Q74. The arithmetic mean of the data represented by the graph will lie in which class interval?

Q75. If the sum of n terms of an arithmetic progression is nP + ½ n(n – 1)Q, where P and Q are constants, then common difference of the progression is -

Q76. A square of 14 cm side has four quadrant circles on its all corners of equal radius. Find the area of shaded portion as shown in the diagram.

Q77. If α + β = 90°, then the maximum value of sinα sinβ is -

Q26. When there is no current in the 10 Ω resistor in the circuit given below, the value of resistance ‘R’ in the circuit will be

Q65. Let aₙ be an arithmetic progression and a₆ = 32 Also, a₅ - a₃ = 10, then the value of
(a₈ \ 7) is -

Q66. Let quadrilateral ABCD be inscribed in a circle with centre O, then consider the following two statements
P : ∠ABC + ∠ADC = 180°
Q : ∠BAD + ∠BCD = 180°
Choose the correct statement from the following.

Q68. Choose the correct option which represents the polar form of the equation
x² – y² = 2ay

Q84. For any two distinct real numbers a and b, consider the following two statements:
P: if ∃ n ∈ N such that na > b then a < b.
Q: if ∃ z ∈ Z such that za > b then a > b.
Choose the correct statement from the following.

Q90. If a and b are real numbers then the system of straight lines
x = a → 1
2x = b → 2

Q91. Let a sequence be defined as follows:
a₁ = 1, aₙ = aₙ₋₁ + 2, for n ≥ 2, then the value of a₅ is