**MATHEMATICS**

51. Diameter is the longest ………… of a circle.

- Arc
**Chord**- Area
- Circumference

52. The value of 3^{2}*3^{4}*3^{8}*3^{6} is …….

**3**^{20}- 3
^{18} - 3
^{16} - 3
^{12}

53. Three angles of a quadrilateral are 55°,70° and 85°. Find the fourth angle.

- 100°
- 180°
- 105°
**150°**

54. Find the LCM of 12, 15, 21.

- 204
- 402
**420**- 120

55. The volume of a cylinder is

- 1/3π r
^{2}h **π r**^{2}h- 2 π r h
- 1/2π r
^{2}h

56. The cube root of the number 729 is ……………

**9**- 3
- 6
- 81

57. Sin (90°-A)=?

- Cosec A
**Cos A**- Tan A
- Cot A

Answer:** B**

59. Find the square root of 64.

**8**- 4
- 16
- 2

60. Find the Additive inverse of 2/8.

- 0
- 1/8
- 4/8
**-2/8**

61. If 2x – (x+3) = 5, then the value of x is

- 2
- 3
- 5
**8**

62. Determine Median of the following data :

16,24,14,10,20,14,15,21

- 15
- 16
**5**- 5

63. The value of 92/[18+4{6+(12-11)}]

**2**- ½
- 1
- 0

64. If sides of a triangle are 5 cm, 12 cm and 13 cm, then the area of a triangle (in cm^{2}) will be

**30**- 20
- 40
- 35

**Answer: D**

66. The additive inverse of -8 is

- -8
- 1/8
- -1/8
**8**

67. A cube has a volume of 1331 cm. Area of its one face is

- 11 cm
^{2} **121 cm**^{2}- 111 cm
^{2} - 131 cm
^{2}

**Answer: A**

69. If 100 m long train passes a platform of length 200 m in 10 seconds, then the speed of the train is

**30 m/s**- 10 m/s
- 40 m/s
- 100 m/s

70. The median of first 8 odd natural numbers is

- 16
**8**- 7
- 9

71. The angle of depression of car parked on the road from the top of a 150 m high tower is 30The distance of the car from the tower (in metres) is – **50 under root 3**

72. The chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is: – **10 under root 2**

73. If K, 2K+1 are three consecutive terms of an A.P., then value of K is

- 2
**3**- -3
- 5

74. The factors of 4x^{2 }+8x+3 are

- (x+1) (x+3)
**(2x+1) (2x+3)**- (2x+2) (2x+5)
- (2x+1) (2x-3)

75. The surface area of a sphere of radius 7 cm is

**616 cm**^{2}- 626cm
^{2} - 606cm
^{2} - 516cm
^{2}

**GENERAL KNOWLEDGE**

76. Which is the lowest literate District In Himachal Pradesh?

**Chamba**- Kangra
- Hamirpur
- Una

77. Name of the present Education Minister of Himachal Pradesh is “?

**Suresh Bhardwaj**- Govind Thakur
- Virender Kumar
- Mahender Singh Thakur

78. In which district of Himachal Pradesh where salt is founded?

**Mandi**- Bilaspur
- Solan
- Chamba

79. Full form of R.M.S.A.?

**Rashtriya Madhyamik Shiksha Abhiyan**- Rajkiya Madhyamik Seva Abhiyan
- Rozgar Madhyamik Seva Abhiyan
- Rashtriya Motor Shiksha Abhiyan.

80. How many Vidhan Sabha seats are there in State of Himachal Pradesh?

**68**- 68
- 69
- 66

81. International famous “Rumal Art” belongs to which District of Himachal Pradesh?

**Chamba**- Sirmour
- Shimla
- Mandi

82. Mehmood Gajnavi looted and broke which temple in Kangra District?

**Vajreshwari Temple**- Naina Devi Temple
- Chamunda Temple
- Jawala Devi Temple

83. When did R.T.E. came in existence?

**In 2005**- In 2003
- In 2002
- In 2000

84. Which of the following is **not** neighbouring State of H.P.?

**Delhi**- Punjab
- Haryana
- Uttranchal

85. What is the State bird of H.P.?

**Western Tragopan**- Peacock
- King Fisher
- Monal

86. In which year the Law was passed in favour of Widow marriage?

- 1756
- 1764
- 1850
**1856**

87. In which place “ Prarthana Samaj” was established in 1876?

**Bombay**- Aligarh
- Chennai
- Amritsar

88. Who established “Hindustan Socialist Republican Association “?

**Bhagat Singh**- Chitranjan Dass
- M.N. Roy
- Vinoba Bhave

89. In which of the following “Christmas Festival” is celebrated in Summer?

- Japan
- India
**Australia**- Nepal

90. In which Ocean “The Mariana Trench” lies?

**Pacific ocean**- Indian ocean
- Arabian ocean
- Mediterranean ocean

91. “World’s highest plateau” lies at

**Tibet**- India
- Australia
- Africa

92. What is “ISRO”?

**Indian Space Agency**- French Space Agency
- American Space Agency
- China’s Space Agency

93. Which is the “Oldest Trade Fair” of Himachal Pradesh?

- Bilaspur’s Nalwar
- Kullu’s Dushera
**Rampur’s Lavi**- Chamba’s Minjar

94. What is “Karyala”?

**Play**- Temple
- Cloth
- Religion

95. “Iravati” is the Sanskrit name of which river?

- Beas
**Ravi**- Chenab
- Yamuna

96. What is the formula of Magnesium Chloride?

- MgO
**MgCl**_{2}- NaCl
- MgSO
_{4}

97. To which class of Animals do Bats belong?

- Pisces
- Aves
**Mammals**- Reptiles

98. Old name of Beas river was?

**Bipasa**- Kalindi
- Satdru
- Seer

99. On which river bank Taj Mahal is situated?

**Yamuna**- Ganga
- Godavari
- Ravi

100. In which place Himachal Pradesh Public service Commission Office is situated?

**Shimla**- Hamirpur
- Solan
- Una

**Read more: JBT Entrance Exam 2018**

Q-55 formula for volume of cylinder is == (pi)(r)^2(h)