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LU BCA Entrance Previous Year Question Paper Pattern – Model Paper Set 5 (2027) with Answers

LU BCA Entrance 2027 Model Paper – Set 5 (Lucknow University UGET) with answers and explanations. 100 MCQs – LU entrance syllabus ke hisaab se. Har sawaal ke neeche “Answer dekho” par click karke sahi answer aur hal dekho.

📌 Note: Ye LUUPDATE expert team ka banaya model paper (practice set) hai, jo LU entrance ke syllabus aur pattern par based hai. Official LU previous year paper nahi hai. Detailed syllabus: LU BCA Entrance 2027 syllabus & pattern · Syllabus PDF

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Section A — Computer Awareness

Q1. Which drive is made up of a series of circular disks called platters?

  1. (A) Floppy disk drive
  2. (B) Solid state drive
  3. (C) Static disk drive
  4. (D) Hard disk drive
Answer dekho

✔ Answer: (D) Hard disk drive

Q2. Who owns the Windows operating system?

  1. (A) Microsoft
  2. (B) Intel
  3. (C) Apple
  4. (D) IBM
Answer dekho

✔ Answer: (A) Microsoft

Q3. Which of the following is NOT an operating system?

  1. (A) Microsoft office
  2. (B) Apple's OS
  3. (C) Linux
  4. (D) Windows Vista
Answer dekho

✔ Answer: (A) Microsoft office

Q4. The trial test of a computer or software before the commercial launch is called

  1. (A) Alpha test
  2. (B) E-test
  3. (C) Delta test
  4. (D) Beta test
Answer dekho

✔ Answer: (D) Beta test

Q5. Which of the following logic gates outputs 0 when the input values are different?

  1. (A) NAND
  2. (B) XNOR
  3. (C) XOR
  4. (D) OR
Answer dekho

✔ Answer: (B) XNOR

Q6. The full form of 'IC' in electronics is

  1. (A) Integrated circuit
  2. (B) Inbuilt circuit
  3. (C) Independent circuit
  4. (D) Internal circuit
Answer dekho

✔ Answer: (A) Integrated circuit

Q7. SMS stands for

  1. (A) Short Message Service
  2. (B) Small Mails Service
  3. (C) Small Message System
  4. (D) Short Mails System
Answer dekho

✔ Answer: (A) Short Message Service

Q8. Mac is a type of personal computer made by

  1. (A) Apple
  2. (B) Dell
  3. (C) HP
  4. (D) Acer
Answer dekho

✔ Answer: (A) Apple

Q9. In MS Word, you can create lists with

  1. (A) Only numbers
  2. (B) Only bullets
  3. (C) Bullets and numbering
  4. (D) Neither
Answer dekho

✔ Answer: (C) Bullets and numbering
Word supports bulleted and numbered lists.

Q10. YCT Binary number system is also called as the

  1. (A) Base-10 number system
  2. (B) Base-16 number system
  3. (C) Base-2 number system
  4. (D) Base-8 number system
Answer dekho

✔ Answer: (C) Base-2 number system

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Q11. Which of these is a search engine?

  1. (A) Bing
  2. (B) Windows
  3. (C) Oracle
  4. (D) Excel
Answer dekho

✔ Answer: (A) Bing
Bing is Microsoft's search engine.

Q12. The extension of a Python file is

  1. (A) .py
  2. (B) .p
  3. (C) .pt
  4. (D) .pyt
Answer dekho

✔ Answer: (A) .py
Python source files use .py.

Q13. The extension of a Java source file is

  1. (A) .jv
  2. (B) .class
  3. (C) .java
  4. (D) .js
Answer dekho

✔ Answer: (C) .java
.java (compiled to .class).

Q14. Which device converts digital signals to analog and back?

  1. (A) Modem
  2. (B) Router
  3. (C) Hub
  4. (D) Switch
Answer dekho

✔ Answer: (A) Modem
Modem = modulator-demodulator.

Q15. Bluetooth is a technology for

  1. (A) Wired LANs
  2. (B) Optical fibre networks
  3. (C) Short-range wireless communication
  4. (D) Long-distance satellite links
Answer dekho

✔ Answer: (C) Short-range wireless communication
Bluetooth is short-range wireless.

Q16. Wi-Fi is based on which IEEE standard?

  1. (A) 802.3
  2. (B) 802.11
  3. (C) 802.5
  4. (D) 802.15
Answer dekho

✔ Answer: (B) 802.11
Wi-Fi follows IEEE 802.11.

Q17. Ethernet is based on which IEEE standard?

  1. (A) 802.3
  2. (B) 802.1
  3. (C) 802.16
  4. (D) 802.11
Answer dekho

✔ Answer: (A) 802.3
Ethernet = IEEE 802.3.

Q18. Which port number is used by HTTPS by default?

  1. (A) 25
  2. (B) 443
  3. (C) 80
  4. (D) 21
Answer dekho

✔ Answer: (B) 443
HTTPS uses port 443; HTTP uses 80.

Q19. Which key is used to refresh a web page?

  1. (A) F5
  2. (B) F7
  3. (C) F2
  4. (D) F12
Answer dekho

✔ Answer: (A) F5
F5 refreshes the page.

Q20. Which key opens Help in most Windows programs?

  1. (A) F5
  2. (B) F10
  3. (C) F1
  4. (D) F3
Answer dekho

✔ Answer: (C) F1
F1 opens Help.

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Q21. Spreadsheet software is used mainly for

  1. (A) Typing letters only
  2. (B) Calculations and data analysis
  3. (C) Browsing
  4. (D) Drawing
Answer dekho

✔ Answer: (B) Calculations and data analysis
Spreadsheets handle numbers and formulas.

Q22. The smallest addressable unit of memory is usually

  1. (A) Word
  2. (B) Byte
  3. (C) Bit
  4. (D) Nibble
Answer dekho

✔ Answer: (B) Byte
Memory is byte-addressable in most computers.

Q23. 4 bits are called a

  1. (A) Kilobit
  2. (B) Word
  3. (C) Byte
  4. (D) Nibble
Answer dekho

✔ Answer: (D) Nibble
A nibble = 4 bits.

Q24. Which unit is larger?

  1. (A) Terabyte
  2. (B) Gigabyte
  3. (C) Kilobyte
  4. (D) Megabyte
Answer dekho

✔ Answer: (A) Terabyte
TB > GB > MB > KB.

Q25. The speed of a CPU is measured in

  1. (A) Bytes
  2. (B) Pixels
  3. (C) Hertz (GHz)
  4. (D) dpi
Answer dekho

✔ Answer: (C) Hertz (GHz)
Clock speed is in hertz, typically GHz.

Q26. Printer resolution is measured in

  1. (A) bps
  2. (B) Hz
  3. (C) dpi
  4. (D) ppm
Answer dekho

✔ Answer: (C) dpi
Dots per inch (dpi).

Q27. Data transfer rate is measured in

  1. (A) Hz only
  2. (B) Pixels
  3. (C) bps
  4. (D) dpi
Answer dekho

✔ Answer: (C) bps
Bits per second.

Q28. ASCII is a

  1. (A) Database
  2. (B) Programming language
  3. (C) Character encoding standard
  4. (D) Network protocol
Answer dekho

✔ Answer: (C) Character encoding standard
ASCII encodes characters as 7-bit codes.

Q29. Unicode is used to

  1. (A) Encrypt data
  2. (B) Compress files
  3. (C) Draw graphics
  4. (D) Represent characters of most world languages
Answer dekho

✔ Answer: (D) Represent characters of most world languages
Unicode covers scripts worldwide, including Devanagari.

Q30. The brain of a computer that performs arithmetic and logic is the

  1. (A) Memory
  2. (B) ALU
  3. (C) Control Unit
  4. (D) Input unit
Answer dekho

✔ Answer: (B) ALU
The Arithmetic Logic Unit does calculations.

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Section B — Mathematics (10+2)

Q31. If n(A) = 25, n(B) = 32 and n(A ∩ B) = 17, then n(A ∪ B) is

  1. (A) 74
  2. (B) 23
  3. (C) 57
  4. (D) 40
Answer dekho

✔ Answer: (D) 40
n(A∪B) = n(A) + n(B) − n(A∩B) = 40.

Q32. The value of the determinant |3 0; -5 1| is

  1. (A) 4
  2. (B) 5
  3. (C) 6
  4. (D) 3
Answer dekho

✔ Answer: (D) 3
|a b; c d| = ad − bc = 3×1 − 0×-5 = 3.

Q33. The product of the roots of x² – 3x – 10 = 0 is

  1. (A) -8
  2. (B) 3
  3. (C) 10
  4. (D) -10
Answer dekho

✔ Answer: (D) -10
Product of roots = c/a = -10.

Q34. The distance between (-3, 0) and (0, 4) is

  1. (A) 6
  2. (B) 5
  3. (C) 7
  4. (D) 1
Answer dekho

✔ Answer: (B) 5
√(3² + 4²) = 5.

Q35. The number of subsets of a set with 6 elements is

  1. (A) 12
  2. (B) 36
  3. (C) 63
  4. (D) 64
Answer dekho

✔ Answer: (D) 64
A set with n elements has 2ⁿ = 64 subsets.

Q36. The value of ∫₀^3 4x^3 dx is

  1. (A) 82
  2. (B) 81
  3. (C) 81/2
  4. (D) 108
Answer dekho

✔ Answer: (B) 81
∫4x^3 dx = x^4; from 0 to 3 gives 3^4 = 81.

Q37. The sum of the first 20 natural numbers is

  1. (A) 190
  2. (B) 210
  3. (C) 420
  4. (D) 200
Answer dekho

✔ Answer: (B) 210
Sum = n(n+1)/2 = 20×21/2 = 210.

Q38. The slope of the line joining (2, -3) and (5, -5) is

  1. (A) 1/3
  2. (B) -2/3
  3. (C) -3/2
  4. (D) 2/3
Answer dekho

✔ Answer: (B) -2/3
Slope = (y₂−y₁)/(x₂−x₁) = -2/3 = -2/3.

Q39. The modulus of the complex number 3 + 4i is

  1. (A) 7
  2. (B) 5
  3. (C) 1
  4. (D) 12
Answer dekho

✔ Answer: (B) 5
|z| = √(3² + 4²) = 5.

Q40. The binary equivalent of the decimal number 43 is

  1. (A) 101010
  2. (B) 101100
  3. (C) 101101
  4. (D) 101011
Answer dekho

✔ Answer: (D) 101011
43 in base 2 = 101011.

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Q41. If f(x) = 5x^5, then f′(1) equals

  1. (A) 25
  2. (B) 30
  3. (C) 26
  4. (D) 5
Answer dekho

✔ Answer: (A) 25
f′(x) = 25x^4; at x = 1: 25×1 = 25.

Q42. The 19th term of the AP 10, 12, 14, … is

  1. (A) 44
  2. (B) 38
  3. (C) 48
  4. (D) 46
Answer dekho

✔ Answer: (D) 46
aₙ = a + (n−1)d = 10 + 18×2 = 46.

Q43. The value of ⁿCᵣ for n = 8, r = 2 is

  1. (A) 28
  2. (B) 56
  3. (C) 36
  4. (D) 29
Answer dekho

✔ Answer: (A) 28
8C2 = 8!/(2!·6!) = 28.

Q44. The value of log base 2 of 16 is

  1. (A) 4
  2. (B) 8
  3. (C) 5
  4. (D) 3
Answer dekho

✔ Answer: (A) 4
2^4 = 16, so log_2(16) = 4.

Q45. The value of sin²θ + cos²θ is

  1. (A) sinθ cosθ
  2. (B) 2
  3. (C) 1
  4. (D) 0
Answer dekho

✔ Answer: (C) 1
Standard value: sin²θ + cos²θ = 1.

Section C — Logical Reasoning

Q46. If A @ B means A is the sister of B, A # B means A is the mother of B, and A * B means A is the father of B, what does P * Q @ R # S mean?

  1. (A) P is the grandfather of S
  2. (B) P is the son of S
  3. (C) P is the father of S
  4. (D) P is the son-in-law of S
Answer dekho

✔ Answer: (A) P is the grandfather of S
P is father of Q and R; R is mother of S → P is grandfather of S.

Q47. Find the next term: BX, DU, FR, HO, JL, LI, ?

  1. (A) ME
  2. (B) MF
  3. (C) NE
  4. (D) NF
Answer dekho

✔ Answer: (D) NF

Q48. Harry introduced Mary as the daughter-in-law of his father's only son. How is Mary related to Harry's only son?

  1. (A) Husband
  2. (B) Sister
  3. (C) Mother
  4. (D) Wife
Answer dekho

✔ Answer: (D) Wife
His father's only son is Harry; Harry's daughter-in-law is his son's wife.

Q49. 12 : 144 :: 11 : ?

  1. (A) 122
  2. (B) 144
  3. (C) 1331
  4. (D) 121
Answer dekho

✔ Answer: (D) 121
Second term is the square of the first.

Q50. Find the next number in the series: 8, 10, 14, 20, 28, ?

  1. (A) 41
  2. (B) 38
  3. (C) 39
  4. (D) 36
Answer dekho

✔ Answer: (B) 38
Differences are 2, 4, 6, 8, 10.

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Q51. If each letter of a word is shifted 2 place(s) backward in the alphabet, how will "BRICK" be coded?

  1. (A) IAGPZ
  2. (B) DTKEM
  3. (C) AQHBJ
  4. (D) ZPGAI
Answer dekho

✔ Answer: (D) ZPGAI
Shift every letter of BRICK 2 place(s) backward: ZPGAI.

Q52. P is the father of Q. Q is the sister of R. R is the son of S. How is S related to P?

  1. (A) Daughter
  2. (B) Mother
  3. (C) Wife
  4. (D) Sister
Answer dekho

✔ Answer: (C) Wife
P and S are parents of Q and R; so S is P's wife.

Q53. Ravi walks 8 km towards North, then turns right and walks 15 km. How far is he from the starting point?

  1. (A) 17 km
  2. (B) 7 km
  3. (C) 23 km
  4. (D) 19 km
Answer dekho

✔ Answer: (A) 17 km
Distance = √(8²+15²) = √289 = 17 km.

Q54. Statements: No apple is a mango. All mangoes are fruits. Conclusions: I. Some fruits are not apples. II. No fruit is an apple.

  1. (A) Both follow
  2. (B) Neither follows
  3. (C) Only II follows
  4. (D) Only I follows
Answer dekho

✔ Answer: (D) Only I follows
Mangoes are fruits that are not apples, so I follows; II is not definite.

Q55. Complete the letter series: A, D, G, J, M, ?

  1. (A) Q
  2. (B) O
  3. (C) P
  4. (D) R
Answer dekho

✔ Answer: (C) P
Each letter moves 3 places forward: A, D, G, J, M, P.

Q56. In a row of students, Rahul is 8th from the left and 14th from the right. How many students are in the row?

  1. (A) 22
  2. (B) 23
  3. (C) 21
  4. (D) 20
Answer dekho

✔ Answer: (C) 21
Total = 8 + 14 − 1 = 21.

Q57. Find the odd one out: 63, 55, 99, 33

  1. (A) 63
  2. (B) 55
  3. (C) 33
  4. (D) 99
Answer dekho

✔ Answer: (A) 63
All others are multiples of 11; 63 is not.

Q58. What is the angle between the hour and minute hands of a clock at 5:00?

  1. (A) 160°
  2. (B) 150°
  3. (C) 135°
  4. (D) 170°
Answer dekho

✔ Answer: (B) 150°
Angle = |30H − 5.5M| = |150 − 0| = 150°.

Q59. 13 : 2197 :: 5 : ?

  1. (A) 25
  2. (B) 126
  3. (C) 216
  4. (D) 125
Answer dekho

✔ Answer: (D) 125
Second term is the cube of the first.

Q60. Find the next number in the series: 5, 15, 45, 135, 405, ?

  1. (A) 1213
  2. (B) 1216
  3. (C) 1218
  4. (D) 1215
Answer dekho

✔ Answer: (D) 1215
Each term is multiplied by 3.

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Section D — General English

Q61. Choose the synonym of HURDLE.

  1. (A) Obstacle
  2. (B) Throw
  3. (C) Opposition
  4. (D) Suspicion
Answer dekho

✔ Answer: (A) Obstacle

Q62. Choose the antonym of VETERAN.

  1. (A) Novice
  2. (B) Master
  3. (C) Activist
  4. (D) Enthusiast
Answer dekho

✔ Answer: (A) Novice

Q63. The boys were ________ to hear that we were going to build a bridge.

  1. (A) Delighting
  2. (B) Delighted
  3. (C) Delights
  4. (D) Delight
Answer dekho

✔ Answer: (B) Delighted

Q64. One word for: Loss of memory

  1. (A) Amnesia
  2. (B) Ambrosia
  3. (C) Forgetting
  4. (D) Insomnia
Answer dekho

✔ Answer: (A) Amnesia

Q65. Choose the antonym of FLORID.

  1. (A) Pale
  2. (B) Ugly
  3. (C) Monotonous
  4. (D) Weak
Answer dekho

✔ Answer: (A) Pale

Q66. Improve the sentence: "Vithal had a habit of pass the buck when it came to important issues at work."

  1. (A) Passing buck
  2. (B) No correction required
  3. (C) Pass to bucking
  4. (D) Passing the buck
Answer dekho

✔ Answer: (D) Passing the buck

Q67. One word for: Study of the population of a region

  1. (A) Topography
  2. (B) Ethnology
  3. (C) Demography
  4. (D) Geography
Answer dekho

✔ Answer: (C) Demography
Demography is the statistical study of populations.

Q68. Choose the synonym of ABUNDANT.

  1. (A) Scarce
  2. (B) Meagre
  3. (C) Rare
  4. (D) Plentiful
Answer dekho

✔ Answer: (D) Plentiful
Abundant = plentiful, existing in large quantity.

Q69. Choose the antonym of OPTIMISTIC.

  1. (A) Hopeful
  2. (B) Pessimistic
  3. (C) Cheerful
  4. (D) Positive
Answer dekho

✔ Answer: (B) Pessimistic
Optimistic (hopeful) is the opposite of pessimistic.

Q70. Choose the synonym of METICULOUS.

  1. (A) Careful and precise
  2. (B) Lazy
  3. (C) Careless
  4. (D) Hasty
Answer dekho

✔ Answer: (A) Careful and precise
Meticulous = showing great attention to detail.

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Section E — General Knowledge

Q71. Which city is known as the 'Silicon Valley of India'?

  1. (A) Chennai
  2. (B) Pune
  3. (C) Hyderabad
  4. (D) Bengaluru
Answer dekho

✔ Answer: (D) Bengaluru
Bengaluru is India's IT hub.

Q72. Which organisation regulates the securities market in India?

  1. (A) SEBI
  2. (B) IRDAI
  3. (C) RBI
  4. (D) NABARD
Answer dekho

✔ Answer: (A) SEBI
SEBI (est. 1988, statutory 1992) regulates securities markets.

Q73. The Reserve Bank of India was established in

  1. (A) 1947
  2. (B) 1969
  3. (C) 1949
  4. (D) 1935
Answer dekho

✔ Answer: (D) 1935
RBI began operations on 1 April 1935 (nationalised 1949).

Q74. GST was introduced in India from

  1. (A) 1 April 2017
  2. (B) 1 April 2016
  3. (C) 1 January 2018
  4. (D) 1 July 2017
Answer dekho

✔ Answer: (D) 1 July 2017
GST came into force on 1 July 2017 (101st Amendment).

Q75. The headquarters of the World Trade Organization (WTO) is in

  1. (A) Paris
  2. (B) Geneva
  3. (C) Washington DC
  4. (D) New York
Answer dekho

✔ Answer: (B) Geneva
WTO, est. 1995, is headquartered in Geneva.

Q76. The headquarters of the IMF is in

  1. (A) Geneva
  2. (B) London
  3. (C) Washington DC
  4. (D) New York
Answer dekho

✔ Answer: (C) Washington DC
IMF and World Bank are headquartered in Washington DC.

Q77. Which index of the BSE is known as the 'Sensex'?

  1. (A) BSE 30
  2. (B) BSE 500
  3. (C) Nifty 50
  4. (D) BSE 100
Answer dekho

✔ Answer: (A) BSE 30
Sensex is the 30-share index of BSE.

Q78. Nifty 50 is the index of

  1. (A) NSE
  2. (B) BSE
  3. (C) MCX
  4. (D) RBI
Answer dekho

✔ Answer: (A) NSE
Nifty 50 is the benchmark index of the National Stock Exchange.

Q79. Who is known as the 'Father of the Indian Constitution'?

  1. (A) Dr. B.R. Ambedkar
  2. (B) Rajendra Prasad
  3. (C) Sardar Patel
  4. (D) Jawaharlal Nehru
Answer dekho

✔ Answer: (A) Dr. B.R. Ambedkar
Dr. Ambedkar chaired the Drafting Committee.

Q80. The full form of GDP is

  1. (A) Global Domestic Product
  2. (B) Gross Domestic Product
  3. (C) Gross Development Product
  4. (D) General Development Plan
Answer dekho

✔ Answer: (B) Gross Domestic Product
GDP = Gross Domestic Product.

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Section F — Current Affairs

Q81. NASA's Crew-11 mission ended early in January 2026 because of

  1. (A) A medical evacuation
  2. (B) A docking failure
  3. (C) A rocket failure
  4. (D) A solar storm
Answer dekho

✔ Answer: (A) A medical evacuation
Crew-11 returned early for a crew member's medical issue.

Q82. The Ganges soft-shell turtle is in Schedule I of the Wildlife Protection Act, 1972. Its IUCN Red List status is

  1. (A) Least Concern
  2. (B) Endangered
  3. (C) Extinct in Wild
  4. (D) Vulnerable
Answer dekho

✔ Answer: (B) Endangered
Nilssonia gangetica is Endangered (IUCN) and in Schedule I.

Q83. Who scored the first-ever century in Women's Premier League (WPL) history?

  1. (A) Harmanpreet Kaur
  2. (B) Smriti Mandhana
  3. (C) Nat Sciver-Brunt
  4. (D) Meg Lanning
Answer dekho

✔ Answer: (C) Nat Sciver-Brunt
Nat Sciver-Brunt scored the first WPL hundred (2026).

Q84. 'Operation Sindoor' (May 2025) targeted terror camps in

  1. (A) Myanmar
  2. (B) Pakistan and PoK
  3. (C) Afghanistan
  4. (D) Bangladesh
Answer dekho

✔ Answer: (B) Pakistan and PoK
Operation Sindoor (7 May 2025) struck terror sites in Pakistan and PoK.

Q85. Shubhanshu Shukla became the first Indian to visit the International Space Station under which mission (2025)?

  1. (A) Gaganyaan-1
  2. (B) Crew-10
  3. (C) Axiom-4
  4. (D) Soyuz MS-27
Answer dekho

✔ Answer: (C) Axiom-4
He flew on Axiom Mission 4 in June–July 2025.

Q86. India won the ICC Women's Cricket World Cup 2025 by defeating

  1. (A) Australia
  2. (B) England
  3. (C) South Africa
  4. (D) New Zealand
Answer dekho

✔ Answer: (C) South Africa
India beat South Africa in the final at Navi Mumbai (Nov 2025).

Q87. The currency of the United Kingdom is

  1. (A) Pound sterling
  2. (B) Dollar
  3. (C) Euro
  4. (D) Franc
Answer dekho

✔ Answer: (A) Pound sterling
The UK uses the pound sterling.

Q88. Which of the following is a direct tax?

  1. (A) GST
  2. (B) Customs duty
  3. (C) Excise duty
  4. (D) Income tax
Answer dekho

✔ Answer: (D) Income tax
Income tax is paid directly to government by the taxpayer.

Q89. NITI Aayog replaced the Planning Commission in

  1. (A) 2016
  2. (B) 2017
  3. (C) 2015
  4. (D) 2014
Answer dekho

✔ Answer: (C) 2015
NITI Aayog was set up on 1 January 2015.

Q90. The 'Make in India' initiative was launched in

  1. (A) 2016
  2. (B) 2014
  3. (C) 2012
  4. (D) 2018
Answer dekho

✔ Answer: (B) 2014
Make in India was launched on 25 September 2014.

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Section G — Numerical Ability

Q91. The average weight of 10 students is 40 kg. When the teacher's weight is included, the average increases by 1 kg. What is the teacher's weight?

  1. (A) 52 kg
  2. (B) 41 kg
  3. (C) 50 kg
  4. (D) 51 kg
Answer dekho

✔ Answer: (D) 51 kg
Teacher's weight = new average×11 − old total = 41×11 − 40×10 = 51 kg.

Q92. Find the compound interest on ₹4000 for 2 years at 10% per annum, compounded annually.

  1. (A) 920
  2. (B) 800
  3. (C) 720
  4. (D) 840
Answer dekho

✔ Answer: (D) 840
Amount = 4000×(1+10/100)² = ₹4840; CI = 4840−4000 = ₹840. (SI would be ₹800.)

Q93. Find the HCF of 90 and 54.

  1. (A) 36
  2. (B) 18
  3. (C) 6
  4. (D) 15
Answer dekho

✔ Answer: (B) 18
90 = 18×5, 54 = 18×3; HCF = 18.

Q94. An article bought for ₹400 is sold at a profit of 15%. Find the selling price.

  1. (A) 460
  2. (B) 500
  3. (C) 415
  4. (D) 340
Answer dekho

✔ Answer: (A) 460
SP = CP×(100+P%)/100 = 400×115/100 = ₹460.

Q95. Simplify: 31 × 4 + 36 − 8²

  1. (A) 104
  2. (B) 224
  3. (C) 96
  4. (D) 80
Answer dekho

✔ Answer: (C) 96
31×4 = 124; 8² = 64; 124+36−64 = 96 (BODMAS).

Q96. Find the area of a circle of radius 7 cm (take π = 22/7).

  1. (A) 77 cm²
  2. (B) 161 cm²
  3. (C) 44 cm²
  4. (D) 154 cm²
Answer dekho

✔ Answer: (D) 154 cm²
Area = πr² = 22/7×7×7 = 154 cm².

Q97. A and B start a business investing ₹30000 and ₹45000 for the same period. Out of a profit of ₹15000, what is A's share?

  1. (A) 6000
  2. (B) 7000
  3. (C) 9000
  4. (D) 7500
Answer dekho

✔ Answer: (A) 6000
Profit is shared in ratio 30000:45000; A's share = 30000/75000×15000 = ₹6000.

Q98. Find the simple interest on ₹8000 at 12% per annum for 2 years.

  1. (A) 2080
  2. (B) 960
  3. (C) 1920
  4. (D) 1760
Answer dekho

✔ Answer: (C) 1920
SI = P×R×T/100 = 8000×12×2/100 = ₹1920.

Q99. Find the least number exactly divisible by 8, 12 and 16.

  1. (A) 24
  2. (B) 96
  3. (C) 1536
  4. (D) 48
Answer dekho

✔ Answer: (D) 48
LCM(8, 12, 16) = 48.

Q100. The marked price of a jacket is ₹800. Two successive discounts of 20% and 20% are given. Find the selling price.

  1. (A) 480
  2. (B) 513
  3. (C) 552
  4. (D) 512
Answer dekho

✔ Answer: (D) 512
SP = 800×0.8×0.8 = ₹512. (Successive discounts are not added directly.)

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