1. What are the Highest Common Factor and Lowest Common Multiple of 6, 72, 120?

A. 12, 180 B. 6, 360 C. 360, 6 D. 12, 360

Answer: Option (B)
2. If a uadratic polynomial y = a[latex]x^2[/latex] + b[latex]x[/latex] + c intersects x axis α and β, then

A. α + β = -b/a B. α + β = a/b C. α x β = a/c D. α/β = 1

Answer: Option (A)
3. If in two equations ax + by = c and dx + ey = f and a/d = b/e = c/f then, which of the following is true about the two equations?

A. They represent intersecting lines B. They represent coincident lines C. Have a unique solution D. None of these

Answer: Option (B)
4. Roots of the quadratic equations 2[latex]x^2[/latex] + [latex]x[/latex] - 528 = 0 is:

A. 16 B. -33/2 C. Both A and B D. None of these

Answer: Option (C)
5. Sum of all positive integers from 1 to 100 is:

A. 5050 B. 5020 C. 10800 D. 2400

Answer: Option (A)
6. If area of similar triangles △ABC and △DEF be 64sq cm and 121 sq cm and EF = 15.4 cm then BC equals:

A. 8 cm B. 18 cm C. 11.2 cm D. 8.2 cm

Answer: Option (C)
7. Area of triangle with vertices at (2,3), (-1, 0) and (2, -4) is:

A. 21/2 cm B. 21/2 sq units C. 21 sq units D. None of these

Answer: Option (B)
8. 2 x Tan[latex]{30}^0[/latex]/ (1 + [latex]{Tan}^2{30}^2[/latex])

A. Sin [latex]{60}^0[/latex] B. Cos [latex]{60}^0[/latex] C. Tan [latex]{60}^0[/latex] D. Sin [latex]{30}^0[/latex]

Answer: Option (A)
9. The angle of elevation of the top of a tower from a point on gorund which is 30 mtrs. away from the foot of the tower is [latex]{30}^0[/latex]. Height of the tower is:

A. 10/[latex]\sqrt{3}[/latex] mtrs. B. 10 x [latex]\sqrt{3}[/latex] mtrs. C. 100 mtrs. D. 20 mtrs.

Answer: Option (B)
10. The length of a tangent from a point A at a distance 5 cms. from the centre of the circle is 4 cms. Radius of the circle is

A. 2 cms B. 3 cms C. [latex]\sqrt{3}[/latex] cms D. [latex]\sqrt{3}[/latex]/2 cms

Answer: Option (B)
11. Length of a minute hand of a clock is 14 cms. Area swept by the minute hand in 5 minutes is:

A. 154 sq cms B. 154/3 sq cms C. 210 sq cms D. 154/[latex]\sqrt{3}[/latex] sq cms

Answer: Option (B)
12. A metallic sphere of radius 4.2 cms. is melted and recast into the shape of a cylinder of radius 6 cms, height of the resultant cylinder would be:

A. 110 cms B. 3.84 cms C. 30 cms D. 2.74 cms

Answer: Option (D)
13. A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it would be white.

A. Cannot be determined B. 1 C. 7/9 D. 2/9

Answer: Option (D)
14. Which of the following cannot be the probability of an event?

A. 2/3 B. -1.5 C. 15% D. 0.7

Answer: Option (B)
15. Mean of a grouped data calculated using direct method, assumed mean method or step deviation method:

A. Is the same B. Varies slightly C. Has huge variation D. None of these

Answer: Option (A)
16. Which of the following is a Prime Number?

A. 12 B. 7 C. 9 D. 4

Answer: Option (B)
17. If polynomial P(x) = [latex]x^3[/latex] - 3[latex]x^2[/latex] + 5[latex]x[/latex] - 3 is divided by polynomial G(X) = [latex]x^2[/latex] - 2, the quotient and remainder are:

A. [latex]x[/latex] - 3, 7[latex]x[/latex] - 9 B. [latex]x[/latex], 7[latex]x[/latex] C. [latex]x[/latex] - 3, 7[latex]x[/latex] D. [latex]x[/latex], 7[latex]x[/latex] - 9

Answer: Option (A)
18. If in triangle ABC, if side AB = 6[latex]\sqrt{3}[/latex], AC = 12 and BC = 6, then angle B equals:

A. [latex]{120}^0[/latex] B. [latex]{60}^0[/latex] C. [latex]{90}^0[/latex] D. [latex]{45}^0[/latex]

Answer: Option (C)
19. What are the coordinates of the point which divides the line joining (-1, 7) and (4, -3) in the ratio 2 : 3 ?

A. (7, 4) B. (9, 9) C. (1, 3) D. (4, 7)

Answer: Option (C)
20. Volume of a cone with radius r and height h is:

A. r[latex]h^2[/latex] B. π[latex]h^2[/latex]h/2 C. πrh/3 D. π[latex]h^2[/latex]h/3

Answer: Option (D)

21. International Day of Yoga is celebrated annually on:

A. 21 June B. 10 December C. 21 July D. 21 September

Answer: Option (A)
22. City of lakes in India is:

A. Lucknow B. Chandigarh C. Bengaluru D. Udaipur

Answer: Option (D)
23. Which of the diseases is not caused by virus?

A. TB B. Chickenpox C. Dengue D. Polio

Answer: Option (A)
24. How many States are there in India?

A. 26 B. 28 C. 27 D. 29

Answer: Option (D)
25. During Akbar's regime, who carries out land revenue reforms:

A. Mann Singh B. Todar Mal C. Birbal D. Tansen

Answer: Option (B)
26. Which of the following is the unit of heat?

A. Joule B. Ohm C. Ampere D. Volt

Answer: Option (A)
27. Who among the following is the future Buddha that is yet to come?

A. Lokes Varna B. Maitreya C. Laughing Buddha D. Chanakya

Answer: Option (B)
28. Jaundice is caused due to malfunctioning of:

A. Liver B. Stomach C. Pancreas D. Kidney

Answer: Option (A)
29. Tsangpo river flowing through Tibet is known in India as:

A. Brahmputra B. Ganges C. Sutlej D. Beas

Answer: Option (A)
30. Yuri Gagarin, the first cosmonaut to reach space, was from whic country?

A. UK B. Japan C. China D. Russia

Answer: Option (D)
31. What is boiling point of water in Fahrenheit?

A. [latex]100^0[/latex] F B. [latex]32^0[/latex] F C. [latex]212^0[/latex] F D. [latex]0^0[/latex] F

Answer: Option (C)
32. Kalibangan, the Indus Valley site, is in:

A. Rajasthan B. Gujarat C. Madhya Pradesh D. Uttar Pradesh

Answer: Option (A)
33. Who was the founder of Banaras Hindu University

A. Sukumar Dey B. Madan Mohan Malviya C. Dr. Rajendra Prasad D. Motilal Nehru

Answer: Option (B)
34. Where do you find the temple of Angkorwat?

A. Thailand B. Malaysia C. Combodia D. Myanmar

Answer: Option (C)
35. Which of the following can cause a Tsunami

A. Volcano B. Avalanche C. Tornado D. Earthquake

Answer: Option (D)
36. The Bhakra Dam in India is built on:

A. Beas River B. Jhelum River C. Sutlej River D. Ghagra River

Answer: Option (C)
37. Who wrote 'Ramcharitmanas'?

A. Tulsidas B. Vedvyas C. Kalidas D. Panini

Answer: Option (A)
38. The river known as Ganges of the South is:

A. Godavari B. Krishna C. Kaveri D. None of these

Answer: Option (C)
39. Where is Tungbhadra Sactuary located?

A. MP B. UP C. Karnataka D. WB

Answer: Option (C)
40. Where is Nanda Devi Mountain?

A. Uttarakhand B. Rajasthan C. Himachal Pradesh D. Arunachal Pradesh

Answer: Option (A)

41. Jaya Samhita is the orginal name of:

A. Ramayana B. Bhagwat Gita C. Panchtantra D. Mahabharata

Answer: Option (D)
42. Rickets is caused due to deficiency of:

A. Vitamin D B. Vitamin K C. Vitamin B12 D. Vitamin A

Answer: Option (A)
43. Who was the first woman speaker of Lok Sabha?

A. Sumitra Mahajan B. Najm Heptullah C. Meira Kumar D. Paratibha Patil

Answer: Option (C)
44. With which sport is term Butterfly aassociated with:

A. Kabaddi B. Cricket C. Football D. Swimming

Answer: Option (D)
45. The resolution fro removal of Vice President of India should be moved in:

A. Lok Sabha B. Rajya Sabha C. Either of the Houses D. None of these

Answer: Option (B)
46. What happens when dilute hydrochloric acid is added to iron fillings

A. Hydrogen gas and iron chloride are produced B. Chlorine gas and iron hydroxide are produced C. No reaction takes place D. Iron salt and water are produced

Answer: Option (A)
47. A solution turns red litmus paper blue. Its Ph is likely to be:

A. 1 B. 4 C. 5 D. 10

Answer: Option (D)
48. An element reacts with oxygen to give a compound with a high melting point. This compound is also soluble in water. The element is likely to be:

A. Calcium B. Carbon C. Silicon D. Iron

Answer: Option (A)
49. While cooking, if the buttom of the vessel is getting blackened on the outside, it means that:

A. The food is not cooked completely B. The fuel is not burning completely C. The fuel is wet D. The fuel is burning completely

Answer: Option (B)
50. Which of the following statements is not correct about the trend when going from left to right across the periods of the periodic table:

A. The elements become less metallic in nature B. The number of valence electrons increase C. Atoms lose their electron more easily D. Oxides of the element become more acidic

Answer: Option (D)
51. Kidneys in human beings are a part of the system for:

A. Nutrition B. Respiration C. Excretion D. Transportation

Answer: Option (C)
52. The gap between two neurons is called a:

A. Dendrite B. Synapse C. Axon D. Impulse

Answer: Option (B)
53. In a plant, the anther contains:

A. Sepals B. Ovules C. Pistil D. Pollen grains

Answer: Option (D)
54. In evolutionary terms, we have more in common with:

A. Chinese school boy B. Chimpanzee C. Spider D. Bacterium

Answer: Option (A)
55. Which of the following mterial cannot be used to make a lens?

A. Water B. Glass C. Plastic D. Clay

Answer: Option (D)
56. The human eyes form the image of an object at its:

A. Cornea B. Iris C. Pupil D. Retina

Answer: Option (D)
57. Which of the following terms does not represent electric power in a circuit?

A. [latex]I^2[/latex]R B. I [latex]R^2[/latex] C. VI D. [latex]V^2[/latex]/R

Answer: Option (B)
58. The device used for producing electric current is called:

A. Generator B. Galvanometer C. Ammeter D. Motor

Answer: Option (A)
59. Which of the following is not an example of bio-mass energy source?

A. Wood B. Gobar gas C. Nuclear energy D. Coal

Answer: Option (C)
60. Which of the following constitute a food chain?

A. Grass, Wheat and Mango B. Grass, Goat and Human C. Goat, Cow and Elephant D. Grass, Fish and Goat

Answer: Option (B)

Directions (61-70): Complete the sentence by choosing the most apprapriate option from those given below:
61. Pleasure and pain are inseparable Facts _______ human existence.

A. in B. on C. of D. by

Answer: Option (C)
62. Is there _____ fitness centre near your house?

A. an B. the C. a D. None of these

Answer: Option (C)
63. He has hardly read _____ book.

A. many B. all C. the D. None of these

Answer: Option (C)
64. _____ of pain is real and affects one's body, mind and spirit.

A. Experiencing B. Experience C. Experienced D. None of these

Answer: Option (B)
65. He drove with _____ care and hence was fined by Traffic Police.

A. much B. little C. all D. None of these

Answer: Option (B)
66. _______ cultural diversity attracts tourists from all over the world.

A. India's B. India C. Both A & B D. None of these

Answer: Option (A)
67. I have been to _______ doctor, whose name figured in the Times of India?

A. the B. an C. any D. None of these

Answer: Option (A)
68. The _______ monkeys that escaped from the Delhi Zoo were found eating bananas in a fruit shop.

A. many B. three C. all D. different

Answer: Option (B)
69. We are _______ to go out for a panic tomorrow.

A. plan B. planning C. plans D. think

Answer: Option (B)
70. The train must _____ reached Delhi by now.

A. has B. had C. have D. None of these

Answer: Option (C)
71. Select the word spelled incorrectly.

A. mischeif B. belief C. thief D. grief

Answer: Option (A)
72. Select the word spelled incorrectly.

A. familiar B. sin C. hammer D. grammer

Answer: Option (D)
73. Select the word spelled incorrectly.

A. focal B. vocal C. vehical D. local

Answer: Option (C)
74. Select the word spelled incorrectly.

A. carpenter B. denteist C. doctor D. plumber

Answer: Option (B)
75. Select the word spelled incorrectly.

A. volkano B. crater C. lava D. earth

Answer: Option (A)
Directions (76-80): Please choose one of the 4 alternatives that can be substituted for the given sentence.
76. A person who believes in God.

A. Theist B. Cynic C. Atheist D. None of these

Answer: Option (A)
77. Story of an individual by himself.

A. biography B. autobiography C. history D. none of these

Answer: Option (B)
78. A book or paper written in hand.

A. edition B. draft C. manuscript D. none of these

Answer: Option (C)
79. A number of ships.

A. Fleet B. Galaxy C. Constellation D. Group

Answer: Option (A)
80. A young cow.

A. bovine B. herd C. calf D. none of these

Answer: Option (C)

81. Find the odd one out of the choices given therein.

A. Vindhya B. Satpura C. Aravali D. Dal Lake

Answer: Option (D)
82. Find the odd one out of the choices given therein.

A. Ganga B. Yamuna C. Brahmputra D. Kaveri

Answer: Option (D)
83. Find the odd one out of the choices given therein.

A. Ammeter B. Thermometer C. Barometer D. Temperature

Answer: Option (D)
84. Find the odd one out of the choices given therein.

A. Mango B. apple C. potato D. blackberry

Answer: Option (C)
85. Find the odd one out of the choices given therein.

A. Aizawal B. Itanagar C. Tripura D. Shillong

Answer: Option (C)
Directions (86-90): Each question contains a pair of words. Find the relationship between these two words. Then choose from the options given in which the relationship is almost similar.
86. copper : metal

A. engine : car B. furniture : wood C. pen : pencil D. pepper : spice

Answer: Option (D)
87. Granary : wheat

A. lake : water B. wine : grapes C. gallery : art D. archieve : documents

Answer: Option (D)
88. Albania : Europe

A. Sydney : Australia B. Congo : South America C. Bengaluru : India D. Cote d'Ivorie : Africa

Answer: Option (D)
89. Uranium : Nuclear power point

A. coal : washery B. sand : sea C. coal : thermal power plant D. steam : furnace

Answer: Option (A)
90. Hallikar : cow

A. dachshund : dog B. Gir : lion C. goat : lamb D. mule : horse

Answer: Option (A)
91. In the number series, what number should come next? 7, 10, 8, 11, 9, 12, ......

A. 11 B. 15 C. 14 D. 10

Answer: Option (D)
92. What comes next R, U, X, A, D ........?

A. F B. G C. H D. I

Answer: Option (B)
93. If the 7th day of a month is 3 days earlier than Friday, then what day will be on the 19th day of the month?

A. Sunday B. Monday C. Wednesday D. Friday

Answer: Option (A)
94. If EARN is related to RANE and BOND is related to NODB, in the same way TEAR is related to:

A. ATRE B. AERT C. ARFT D. REAT

Answer: Option (B)
95. Average age of a father and his son is 22 years. Ratio of their age is 10 : 1, what is the age of the son?

A. 24 years B. 4 years C. 40 years D. 6 years

Answer: Option (B)
Directions(96-100): Each question comprises of a statement and two conclusions (I) and (II). Assuming that the statement is true, which of the conclusions follow logically from the statement?
96.
Statement: In a one day cricket match, a team made 200 runs, out of which 160 runs were made by spinners.
Conclusion: (I) 80% of team consists of spinners. (II) Opening batsmen were spinners

A. Only conclusion (I) follows B. Only conclusion (II) follows C. Neither (I) nor (II) follows D. Both (I) & (II) follows

Answer: Option (C)
97.
Statement: The old order changeth yielding place to new.
Conclusion: (I) Change is the law of nature. (II) Discard old ideas because they are old.

A. Only conclusion (I) follows B. Only conclusion (II) follows C. Neither (I) nor (II) follows D. Both (I) & (II) follows

Answer: Option (A)
98.
Statement: Because of growth in production of Aluminium by National Aluminium Company, India has become self-sufficient in Aluminium.
Conclusion: (I) Previously India had to import Aluminium. (II) At this rate, India may start exporting Aluminium.

A. Only conclusion (I) follows B. Only conclusion (II) follows C. Neither (I) nor (II) follows D. Both (I) & (II) follows

Answer: Option (A)
99.
Statement: All mangoes are golden in colour. No golden coloured things are cheap.
Conclusion: (I) All mangoes are cheap. (II) Golden coloured mangoes are not cheap.

A. Only conclusion (I) follows B. Only conclusion (II) follows C. Neither (I) nor (II) follows D. Both (I) & (II) follows

Answer: Option (C)
100.
Statement: Jade plant has thick leaves and it requires little water.
Conclusion: (I) All plants with thick leaves require little water. (II) Jade plant may grow in places where water is not in abundance

A. Only conclusion (I) follows B. Only conclusion (II) follows C. Neither (I) nor (II) follows D. Both (I) & (II) follows

Answer: Option (C)