UPTET 2021 Paper II (Junior) — 23 January 2022 (Series C) — Mathematics and Science

1. The main characteristic of basic instinct is that which is found

• (a) Only in Cats and Rats
• (b) Only in human beings
• (c) All organism and it is inborn and natural
• (d) Only in Artists

2. The right to free and compulsory education for children between age group of 6 - 14 has been included in Indian Constitution as

• (a) Article 15
• (b) Article 26
• (c) Article 45
• (d) Article 21A

3. Kretschmer has classified the persons in one of the following main types

• (a) Athletic
• (b) Asthenic
• (c) Picnic
• (d) All of these

4. Purpose of T.E.T. is measure which of the following?

• (a) Aptitude
• (b) Intelligence
• (c) Attitude
• (d) Values

5. Consolidation theory explain which of the following?

• (a) Memory
• (b) Learning
• (c) Motivation
• (d) Creativity

6. Who has given the Concept of Educational Quotient for backward children?

• (a) Schonell
• (b) Gorden
• (c) Burton Hall
• (d) Cyril Burt

7. Which among the following is different from characteristics of a good test?

• (a) Validity
• (b) Reliability
• (c) Objectivity
• (d) Aptitude

8. Which of the following is not theory of intelligence?

• (a) Two factor theory
• (b) Unifactor theory
• (c) Theory of regression
• (d) Multifactor theory

9. Which one of the following is not ductless glands?

• (a) Pituitary glands
• (b) Adrenal glands
• (c) Salivary glands
• (d) Thyroid glands

10. According to Piaget the second stage of cognitive development is

• (a) Formal operations stage
• (b) Sensory-motor stage
• (c) Pre-operational stage
• (d) Concrete operations stage

11. Which of the following is the most subjective method of educational psychology?

• (a) Extrospection
• (b) Introspection
• (c) Observation
• (d) Experimentation

12. Albert Bandura is associated with which of the following?

• (a) Behavioural Theory
• (b) Social Learning Theory
• (c) Cognitive Development Theory
• (d) Psychosexual Development

13. Plateau in learning curve is caused due to

• (a) Motivation
• (b) Maturation
• (c) Fatigue
• (d) Interest

14. Mirror Drawing Test is used to measure

• (a) Transfer of learning
• (b) Rate of learning
• (c) Creativity
• (d) Interest

15. Cloud Picture Test is used to measure which of the following?

• (a) Personality
• (b) Intelligence
• (c) Aptitude
• (d) Interest

16. What is the factor influencing physical development in the following?

• (a) Environment
• (b) Heredity
• (c) Sports and exercise
• (d) All of these

17. Which of the following is correct formula to calculate I.Q.?

• (a) C.A. / M.A.
• (b) (M.A. / C.A.) × 100
• (c) (C.A. / M.A.) × 100
• (d) M.A. / (C.A. × 100)

18. Who described 'Reflective Thinking' from the following?

• (a) Ross
• (b) Dewey
• (c) Woodworth
• (d) Drever

19. Which is not included in the levels of inductive reasoning?

• (a) Experiment
• (b) Observation
• (c) Generalization
• (d) Imagination

20. Failure in retention and recall of learnt content is

• (a) Memory
• (b) Forgetting
• (c) Retention
• (d) Thinking

21. Five years old Mohan has mental age of eight. What is his I.Q.?

• (a) 160
• (b) 150
• (c) 140
• (d) 135

22. Which I.Q. range is called trainable I.Q. level of mentally retarded children?

• (a) 50 - 69
• (b) 70 - 79
• (c) 36 - 49
• (d) 35 and below

23. Rorschach ink blot test is used to measure which of the following?

• (a) Intelligence
• (b) Personality
• (c) Interest
• (d) Aptitude

24. It is not the cause of forgetting

• (a) Desire to remember
• (b) Under learning
• (c) Mental conflict
• (d) Defective methods of remembering

25. The science which deals with the method of collecting, classifying, presenting, comparing and interpreting numerical data is called

• (a) Mathematics
• (b) Statistics
• (c) Geometry
• (d) Probability

26. Find the odd one out.

• (a) 16 - P.F.
• (b) T.A.T.
• (c) Raven's test
• (d) Draw a man test

27. The median of 7, 8, 9, 10, 11, 12 is

• (a) 9
• (b) 8
• (c) 10
• (d) 9.5

28. Who has propounded the theory of insight?

• (a) Gestalt Psychologist
• (b) Thorndike
• (c) Hegarty
• (d) Skinner

29. According to McDougall, every instinct is associated with

• (a) Emotion
• (b) Cognition
• (c) Sensation
• (d) Thinking

30. Giving meaning to sensation on the basis of past experience is called

• (a) Perception
• (b) Sensation
• (c) Motivation
• (d) Imagination

31. निम्नलिखित में से वाचन शिक्षण की विधि नहीं है

• (a) अनुध्वनि विधि
• (b) ध्वनि साम्य विधि
• (c) व्याख्या विधि
• (d) समवेत पाठ विधि

32. निम्नलिखित में अभिवृत्यात्मक उद्देश्य है

• (a) साहित्य का रसास्वादन करना
• (b) स्वानुभूत विचारों व भावों को अभिव्यक्त करना
• (c) धैर्यपूर्वक सुनना
• (d) भाषा और साहित्य में रुचि

33. हिन्दी साहित्य के इतिहास के संबंध में 'मॉडर्न वरनाक्यूलर लिटरेचर ऑफ हिन्दोस्तान' किसने लिखा है?

• (a) सुमित कुमार चटर्जी
• (b) जॉर्ज अब्राहम ग्रियर्सन
• (c) गार्सा द तासी
• (d) धीरेन्द्र वर्मा

34. 'विरहनी बावरी सी भई ऊँची चढ़ि अपने भवन में टेरत हाय दई ले अंचरा मुख अँसुवन पोंछत उघरे गात सही' - किसकी पंक्ति है?

• (a) मीराबाई
• (b) सहजोबाई
• (c) झीमा चारिणी
• (d) दयाबाई

35. हिन्दी का पहला पत्र है

• (a) इतिहास तिमिरनाशक
• (b) उदंत मार्तण्ड
• (c) बनारस अखबार
• (d) हरिश्चन्द्र मैगज़ीन

36. धर्म पालन करने में बाधा डालने वाली प्रवृत्तियाँ कौन-सी हैं?

• (a) धर्म का ज्ञान न होना।
• (b) कमजोर मन, उद्देश्य का निश्चित न होना तथा चंचल मनोवृत्ति का होना।
• (c) आलस्य की अधिकता।
• (d) जानकारी की कमी।

37. संसार के बड़े-बड़े लोगों ने सबसे श्रेष्ठ माना है

• (a) सदाचार को
• (b) उत्तम चरित्र को
• (c) परोपकार को
• (d) अपने कर्त्तव्य को

38. 'निर्बलता' शब्द में उपसर्ग और प्रत्यय का सही विकल्प है

• (a) निर + बल + ता
• (b) निर् + बल + ता
• (c) निर + बलत + आ
• (d) निर + बल + अता

39. 'कायर' की भाववाचक संज्ञा है

• (a) कायरतत्व
• (b) अकायरता
• (c) कायरपन
• (d) कायरता

40. 'अपना मतलब निकालने वाला' के लिए उचित शब्द क्या है?

• (a) स्वार्थपरता
• (b) स्वार्थी
• (c) स्वार्थपरक
• (d) कुटिल

41. पंकज में कौन-सा समास है?

• (a) द्विगु
• (b) द्वन्द्व
• (c) कर्मधारय
• (d) बहुव्रीहि

42. अयोगवाह कहा जाता है

• (a) अनुस्वार एवं विसर्ग को
• (b) महाप्राण को
• (c) संयुक्त व्यंजन को
• (d) अल्पप्राण को

43. एक ओर अजगरहिं लखि एक ओर मृगराय। विकल बटोही बीच ही पर्यो मूरछा खाय॥ इन पंक्तियों में प्रयुक्त रस है

• (a) वीर रस
• (b) रौद्र रस
• (c) भयानक रस
• (d) करुण रस

44. 'से' विभक्ति निम्न में से किस कारक के लिए प्रयुक्त होता है?

• (a) कर्म
• (b) कर्ता
• (c) सम्प्रदान
• (d) करण

45. 'उसने नहाकर भोजन किया' - इस वाक्य में 'नहाकर' निम्नांकित में से किस क्रिया का उदाहरण है?

• (a) प्रेरणार्थक क्रिया
• (b) संयुक्त क्रिया
• (c) द्विकर्मक क्रिया
• (d) पूर्वकालिक क्रिया

46. कौन-सा वाक्य शुद्ध है?

• (a) परशुराम के क्रोधाग्नि ने क्षत्रियों को जला दिया।
• (b) खेतों में लम्बे-लम्बे घास उग आए।
• (c) गलियों को चौड़ा करना आवश्यक है।
• (d) वृक्षों पर कोयल कूक रही है।

47. विद्यार्थी में कौन-सी सन्धि है?

• (a) वृद्धि सन्धि
• (b) दीर्घ सन्धि
• (c) गुण सन्धि
• (d) यण सन्धि

48. 'कानन' का पर्यायवाची शब्द है

• (a) विहिप
• (b) पुष्प
• (c) वन
• (d) इनमें से कोई नहीं

49. 'वाक्य विग्रह' का अर्थ है

• (a) वाक्य रचना करना।
• (b) शब्दों को जोड़ना।
• (c) वाक्य खंडों को अलग-अलग करके उनका सम्बन्ध बताना।
• (d) सन्धि और समास बताना।

50. बिनु पग चलै सुनै बिनु काना, कर बिनु कर्म करै विधि नाना। इन पंक्तियों में प्रयुक्त अलंकार है

• (a) विशेषोक्ति अलंकार
• (b) विभावना अलंकार
• (c) असंगति अलंकार
• (d) दृष्टान्त अलंकार

51. सूफी सन्तों की शैली है

• (a) मसनवी
• (b) मर्सिया
• (c) ग़ज़ल
• (d) तर्जुमा

52. 'गुड़िया भीतर गुड़िया' के रचनाकार कौन है?

• (a) मैत्रेयी पुष्पा
• (b) कृष्णा सोबती
• (c) प्रभा खेतान
• (d) उषा प्रियंवदा

53. 'सौ अजान एक सुजान' के रचनाकार का नाम है

• (a) बालकृष्ण भट्ट
• (b) बदरीनारायण चौधरी
• (c) बालमुकुन्द गुप्त
• (d) सरदार पूर्ण सिंह

54. गोस्वामी तुलसीदास का निधन वाराणसी के किस घाट पर हुआ?

• (a) अस्सी घाट
• (b) दशाश्वमेध घाट
• (c) राम घाट
• (d) मणिकर्णिका घाट

55. 'भक्तमाल' के रचनाकार हैं

• (a) केशव दास
• (b) नाभा दास
• (c) विष्णु दास
• (d) सुन्दर दास

56. 'सुई' का तत्सम रूप क्या है?

• (a) सूचि
• (b) सुज्जा
• (c) सलाई
• (d) सूची

57. 'परिसीमन' का विलोम है

• (a) निरसीमन
• (b) ससीम
• (c) असीमन
• (d) ससीमन

58. 'धूसर' शब्द का पर्याय है

• (a) मेघ
• (b) अश्व
• (c) गर्दभ
• (d) अजा

59. 'भूतों अर्थात् जीवों द्वारा होने वाला (दुख)' - वाक्य के लिए एक शब्द बताइये।

• (a) आधिभौतिक
• (b) आधिदैविक
• (c) आधिदैहिक
• (d) आत्मघाती

60. 'ऊँट की चोरी निहुरे निहुरे' का अर्थ है

• (a) बड़े काम छिपकर नहीं किये जा सकते।
• (b) जान जोखिम में डालना।
• (c) उद्दंड व्यक्ति की दुष्टता।
• (d) किसी की वस्तु किसी दूसरे को देना।

61. Bees are kept in

• (a) A nursery
• (b) A pantry
• (c) An apiary
• (d) An aquarium

62. The idiom 'green-eyed monster' means

• (a) To be sick
• (b) To be jealous
• (c) To be angry
• (d) To be blind

63. Select the sentence in which the article has been wrongly used.

• (a) Twelve inches make a foot.
• (b) He is a M.A.
• (c) A pupil should obey his teacher.
• (d) He is a European.

64. Pick the correct question tag from the options. People shouldn't drink and drive, _____

• (a) should not they?
• (b) should they?
• (c) isn't it?
• (d) shall they?

65. Point out the part that has an error in the sentence. (A) You are learning English / (B) for the last one year / (C) but you show / (D) no improvement at all.

• (a) B
• (b) A
• (c) C
• (d) D

66. What is the total time spent by the elderly lady in writing a postcard?

• (a) A full day
• (b) Three minutes
• (c) Four hours and five minutes
• (d) Half an hour

67. What happens when the time to be spent on some work increases?

• (a) The work is done leisurely
• (b) The work is done smoothly
• (c) The work consumes all the time
• (d) The work needs additional time

68. What does the expression 'pillar box' stand for?

• (a) A box in the pillar
• (b) A box attached to the pillar
• (c) Box office
• (d) A pillar-type post box

69. Who is the person likely to take more time to do work?

• (a) An elderly person
• (b) A busy man
• (c) A man of leisure
• (d) An exhausted person

70. Point out the most appropriate explanation of the sentence 'Work expands so as to fill the time available for its completion.'

• (a) Whatever time is available for a given amount of work, all of it will be used.
• (b) The more work there is to be done, the more the time needed.
• (c) If you have more time, you can do more work.
• (d) If you have some important work to do, you should always have some additional time.

71. Choose the correct sentence.

• (a) The committee was one on this point.
• (b) The committee were one on this point.
• (c) The committee was divided on this point.
• (d) The committee have one on this point.

72. Which of the following is an example of Simile?

• (a) Life is a dream
• (b) I wandered lonely as a cloud
• (c) Anxiety is sitting on her face
• (d) A lie has no legs

73. Change the following sentence into Active Voice. "The visitors were shown the new-born by the woman."

• (a) The woman has shown the new-born to the visitors.
• (b) The new-born was shown to the visitors by the woman.
• (c) The woman showed the visitors the new-born.
• (d) The woman might have shown the new-born.

74. Select the antonym for the word. 'Adverse'

• (a) Friendly
• (b) Hostile
• (c) Inimical
• (d) Unwilling

75. Fill in the blank with correct word to complete the proverb. "Blood is _____ than water."

• (a) Thicker
• (b) Thinner
• (c) Purer
• (d) Precious

76. The word 'congested' in the passage means

• (a) The place has no place
• (b) The place is roomy
• (c) The place can be accessed by police vans
• (d) The place has so much of smoke due to fire

77. A helicopter can hover while an aeroplane cannot, according to the passage. 'Hover' in the passage means

• (a) Move straight up in the air
• (b) Stay at one place in the air
• (c) Go backward in the air
• (d) Fly sideways

78. Point out the grammatical category of the word 'perform' in the passage.

• (a) Verb
• (b) Noun
• (c) Adverb
• (d) Helping verb

79. Why is a helicopter used as an ambulance?

• (a) It crosses all difficulties of traffic
• (b) Its movement can be manoeuvred easily
• (c) It reaches the inaccessible places easily
• (d) It can fire fight

80. Point out the grammatical category of the underlined word 'very' in the above passage.

• (a) Adjective
• (b) Adverb
• (c) Noun
• (d) Verb

81. Give one word substitution for: The scientific study of insects.

• (a) Entomology
• (b) Criminology
• (c) Mycology
• (d) Meteorology

82. Point out the correct direct speech of the following. I asked why he was looking through the keyhole.

• (a) 'Do not look through the keyhole' I said.
• (b) 'Are you looking through the keyhole?' I said.
• (c) 'Why are you looking through the keyhole?' I said.
• (d) 'You are looking through the keyhole?' I said.

83. Put the verbs in brackets into the correct present tense. My daughter never (write) to me so I never (know) what she (do).

• (a) My daughter never write to me so I never knew what she does.
• (b) My daughter never wrote to me so I never knew what she do.
• (c) My daughter never writes to me so I never know what she is doing.
• (d) My daughter never writes to me so I never knew what she does.

84. Pick out the correct synonym of the word. 'Cantankerous'

• (a) Quarrelsome
• (b) Rash
• (c) Noisy
• (d) Disrespectful

85. Pick out the sentence that has a demonstrative adjective in it.

• (a) This kind of question is often asked in examinations.
• (b) It is a twenty-kilometers walk.
• (c) Each of them received ten rupees.
• (d) His written statement differs from his oral one.

86. 'To chew the cud' correctly means

• (a) To die on duty
• (b) Contrive against someone
• (c) To meditate
• (d) To inculcate virtues

87. Complete the following sentence with most appropriate choice. 'He was very much ashamed _____ his mischief.'

• (a) of
• (b) for
• (c) with
• (d) over

88. Complete the following sentence with appropriate choice. '_____ he stood first, he would have gone to America.'

• (a) Had
• (b) If
• (c) Have
• (d) Anyways

89. Fill in the blank. 'Of the sword and pen the _____ is more powerful.'

• (a) later
• (b) last one
• (c) latter
• (d) last

90. Which prefix can be used with the following words? behave, guide, use

• (a) dis
• (b) in
• (c) mis
• (d) re

91. Sound waves consist of 20 compressions and 20 rare in 10 meter length. The wavelength of wave is

• (a) 50 cm
• (b) 25 cm
• (c) 75 cm
• (d) 100 cm

92. If 4/3 and 3/2 be respectively the absolute refractive index of water and glass, then the refractive index of glass relative to water is

• (a) 9/8
• (b) 8/9
• (c) 4/3
• (d) 3/4

93. In Household wiring, what is the colour of "Earth wire"?

• (a) Green
• (b) Red
• (c) Black
• (d) White

94. Kirchhoff's current law based on conservation of

• (a) Momentum
• (b) Energy
• (c) Charge
• (d) Mass

95. The decimal number equivalent of binary number (1101)₂ is

• (a) 11
• (b) 9
• (c) 13
• (d) 15

96. What is silk farming?

• (a) Pisciculture
• (b) Epiculture
• (c) Sericulture
• (d) Agriculture

97. All organisms belonging to Kingdom Protista are

• (a) Unicellular and prokaryotic
• (b) Unicellular and eukaryotic
• (c) Multicellular and prokaryotic
• (d) Multicellular and eukaryotic

98. Which of the following pigment is associated with the germination of seeds?

• (a) Plastocyanin
• (b) Phytochrome
• (c) Chlorophyll
• (d) Xanthophyll

99. The tissue that connects one bone with the other bone is called

• (a) Cartilage
• (b) Adipose tissue
• (c) Epithelium
• (d) Ligaments

100. Viviparous germination of seeds occur in

• (a) Rhizophora
• (b) Mango
• (c) Potato
• (d) Sugarcane

101. SI unit of heat is

• (a) Erg
• (b) Joule
• (c) Calorie
• (d) Watt

102. If P, F and A represent pressure, force and area respectively, then

• (a)
• (b)
• (c)
• (d)

103. If the momentum of body increases from 10 unit to 25 unit in 5 sec, then working force acting on it is

• (a) 2 unit
• (b) 1 unit
• (c) 3 unit
• (d) 4 unit

104. Mica is used in cooking utensil because it is

• (a) Bad conductor of heat but good conductor of electricity
• (b) Good conductor of heat but bad conductor of electricity
• (c) Good conductor of both heat and electricity
• (d) Bad conductor of both heat and electricity

105. Angle of dip at magnetic pole of earth is

• (a) 45°
• (b) 0°
• (c) 90°
• (d) 135°

106. The source of oxygen liberated as byproduct during photosynthesis is

• (a) Water
• (b) Carbon dioxide
• (c) Glucose
• (d) Chlorophyll

107. The component of blood that prevents its clotting in intact blood vessels is

• (a) Heparin
• (b) Antibody
• (c) Thrombin
• (d) Haemoglobin

108. Islets of Langerhans are present in

• (a) Liver
• (b) Stomach
• (c) Pancreas
• (d) Heart

109. Enzymes are chemically

• (a) Acid
• (b) Lipid
• (c) Carbohydrate
• (d) Protein

110. Which of the following acid is also a vitamin?

• (a) Ascorbic acid
• (b) Formic acid
• (c) Malic acid
• (d) Palmitic acid

111. The monomer of natural rubber is

• (a) Isoprene
• (b) Neoprene
• (c) Terylene
• (d) Orlon

112. Which compound has highest boiling point?

• (a) Isopentane
• (b) n-pentane
• (c) Neopentane
• (d) Isobutane

113. The number of π-electrons in molecule of aromatic compound is

• (a) 4n + 1
• (b) 4n
• (c) 4n + 2
• (d) 2n + 4

114. Rutherford's alpha (α) particles scattering experiment resulted into discovery of

• (a) Nucleus in the atom
• (b) Proton
• (c) Electron
• (d) Atomic mass

115. Which one of the following is not a heterogenous mixture?

• (a) Milk
• (b) Air
• (c) Smoke
• (d) Jelly

116. Which of the following is not a constituent of petroleum?

• (a) Coke
• (b) Petrol
• (c) Paraffin wax
• (d) Lubricating oil

117. A metal 'M' does not liberate hydrogen from acids, but reacts with oxygen to give a black colour product. Identify 'M'.

• (a) Mg
• (b) Na
• (c) Cu
• (d) Ca

118. Which of the following has maximum number of atoms?

• (a) 16 g of CO₂
• (b) 16 g of N₂
• (c) 16 g of CH₄
• (d) 16 g of O₂

119. In laboratory, ethylene and acetylene can be distinguished by

• (a) KMnO₄/OH⁻/H₂O
• (b) Br₂/H₂O
• (c) Tollen's reagent
• (d) Fehling solution

120. In which of the given compound oxidation number of oxygen is +2?

• (a) Na₂O
• (b) OF₂
• (c) NaO₂
• (d) NaO₃

121. A company makes an advertisement to collect a capital of Rs. 25 lacs of shares. If the printed price of one share is Rs. 100, then find the number of shares circulated by the company

• (a) 25000 shares
• (b) 20000 shares
• (c) 30000 shares
• (d) 15000 shares

122. From a pack of 52 playing cards one card is drawn at random. What is the probability that the card is a spade or an ace?

• (a) 6/13
• (b) 4/13
• (c) 8/13
• (d) 2/5

123. In figure ABCD is a cyclic quadrilateral, then the ordered pair (x, y) is

• (a) (10°, 15°)
• (b) (15°, 25°)
• (c) (15°, 35°)
• (d) (40°, 35°)

124. For what value of x the mode of the following data is 27? 25, 26, 27, 23, 27, 26, 24, x, 27, 26, 25, 25

• (a) 24
• (b) 27
• (c) 25
• (d) 26

125. If x = 2, y = 1, z = -3, then x³ + y³ + z³ - 3xyz equals

• (a) 2
• (b) 6
• (c) 8
• (d) 0

126. Jatin buys an article for 10% less than its value and sells it for 10% more than its value, his gain is

• (a) 22 7/9%
• (b) 20%
• (c) 22 2/9%
• (d) None of these

127. If the roots of the equation x² - px + 54 = 0 are in the ratio 2 : 3, then the value of p is

• (a) 21
• (b) 18
• (c) -21
• (d) 15

128. Ratio of the heights of two right circular cones is 25 : 64 and ratio of their diameters is 4 : 5. The ratio of their volumes is

• (a) 1 : 4
• (b) 1 : 3
• (c) 5 : 8
• (d) 1 : 2

129. If A = {x : x is a letter in word BELOW}, B = {x : x is a letter in word WOOL} and C = A - B, then the number of subsets of C is

• (a) 2
• (b) 1
• (c) 3
• (d) 4

130. The perimeter of a rhombus whose diagonals are 10 cm and 24 cm is

• (a) 34 cm
• (b) 120 cm
• (c) 68 cm
• (d) 52 cm

131. Which of the following statement is true?

• (a) Equations can be learnt without learning arithmetic.
• (b) Different branches of mathematics viz. Algebra, Geometry etc. are dependent on each other.
• (c) Congruence of triangles can be learnt without learning algebra.
• (d) Statistics can be learnt without learning algebra.

132. Which among the following is the best pedagogical way to teach mathematics?

• (a) Find the weakness and teach only those parts
• (b) Motivate the learners to develop their existing capabilities
• (c) Find the gaps and address only them
• (d) Teach every student with the same approach

133. If A's salary is 25% more than that of B, then how much percent is B's salary less than that of A?

• (a) 18%
• (b) 25%
• (c) 20%
• (d) 15%

134. Sum of two natural numbers is 8. Determine the numbers if the sum of their reciprocal is 8/15.

• (a) 4, 4
• (b) 1, 7
• (c) 2, 6
• (d) 3, 5

135. The expenditure of a family in a month is given in figure (a pie chart: Education 25%, House Rent 20%, Travel 15%, Food 20%, Savings 20%). If the difference of expenditure between education and travel is ₹ 4,000; what will be the total income of the family?

• (a) ₹ 40,000
• (b) ₹ 50,000
• (c) ₹ 60,000
• (d) ₹ 30,000

136. In a religious gathering the ratio of number of ladies to that of gents was 3 : 2. When 20 more gents joined, the ratio was reversed. The number of ladies was

• (a) 40
• (b) 36
• (c) 16
• (d) 24

137. For three non-zero real numbers a, b, c if a/2 = b/3 = c/4 = (2a - 3b + 5c)/K, the value of K is

• (a) 15
• (b) 10
• (c) 20
• (d) 25

138. If A and B be any two sets such that A - B = A, then A ∩ B is

• (a) A
• (b) ϕ
• (c) B
• (d) A ∪ B

139. If the roots of the equation x² - bx + c = 0 are two consecutive integers, then b² - 4c is

• (a) -1
• (b) 1
• (c) 0
• (d) 2

140. The HCF and LCM of two numbers is 13 and 1989 respectively. If one of the number is 117, then the other number is

• (a) 221
• (b) 222
• (c) 223
• (d) 225

141. If a, a + 2, a + 4 are prime numbers, then the number of values of 'a' are

• (a) Two
• (b) One
• (c) Three
• (d) More than three

142. Find the biggest 4 digit number which is a perfect square.

• (a) 1899
• (b) 9999
• (c) 9000
• (d) 9801

143. When x¹³ + 1 is divided by x - 1, then what is the remainder?

• (a) 1
• (b) 0
• (c) 2
• (d) -1

144. If A and B are non-empty subsets of a set C, then A ∪ (A ∩ B) is equal to

• (a) A ∪ B
• (b) A ∩ B
• (c) A
• (d) B

145. The population of a village increases by 5% yearly. If at present the population of the village is 4410, then what was the population before 2 years?

• (a) 4430
• (b) 4420
• (c) 4200
• (d) 4000

146. The number of observations in a survey is 40. If the mean of first 10 observations is 4.5 and that of remaining is 3.5, then the mean of whole survey is

• (a) 3.80
• (b) 2.82
• (c) 3.75
• (d) 4.25

147. A right circular cylinder of maximum volume is cut from a solid cube of edge 14 cm. The total surface of cylinder is

• (a) 1134 cm³
• (b) 924 cm³
• (c) 2464 cm³
• (d) 616 cm³

148. There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is -3.5. The mean of the given numbers is

• (a) 53.5
• (b) 49.5
• (c) 46.5
• (d) 56.5

149. Ten observations 5, 9, 14, 15, x + 1, 2x - 13, 26, 30, 32, 34 are written in an ascending order. The median of the data is 24. Find the value of x.

• (a) 19
• (b) 20
• (c) 21
• (d) 16

150. 44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

• (a) 11 cows more
• (b) 15 cows more
• (c) 11 cows less
• (d) 15 cows less