Start streak

SSC CGL Tier 1 & Tier 2 Mixed Mock Test: Practice Test 18

Question paper with answer key. Selection Pro

Q1. Which article of the Indian Constitution deal with the Abolition of Untouchability?
  1. Article 14
  2. Article 19
  3. Article 17
  4. Article 21

Answer: (C) Article 17

Article 17 abolishes untouchability and forbids its practice in any form.

Q2. Who was the founder of the Nanda Dynasty in Ancient India?
  1. Dhana Nanda
  2. Mahapadma Nanda
  3. Shisunaga
  4. Bimbisara

Answer: (B) Mahapadma Nanda

Mahapadma Nanda established the Nanda dynasty after overthrowing the Shisunaga dynasty.

Q3. Which atmospheric layer is closest to the Earth's surface and contains most of the weather phenomena?
  1. Stratosphere
  2. Mesosphere
  3. Troposphere
  4. Thermosphere

Answer: (C) Troposphere

The Troposphere is the lowest layer of Earth's atmosphere where almost all weather changes take place.

Q4. What is the SI unit of Luminous Intensity?
  1. Lumen
  2. Candela
  3. Lux
  4. Watt

Answer: (B) Candela

Candela (cd) is the base SI unit of luminous intensity.

Q5. Which cell organelle is known as the 'Suicide Bags' of the cell?
  1. Mitochondria
  2. Lysosome
  3. Ribosome
  4. Golgi Body

Answer: (B) Lysosome

Lysosomes contain digestive enzymes that break down waste materials and cellular debris, earning them the nickname 'suicide bags'.

Q6. Who was the Governor-General of India during the Revolt of 1857?
  1. Lord Dalhousie
  2. Lord Canning
  3. Lord William Bentinck
  4. Lord Lytton

Answer: (B) Lord Canning

Lord Canning was the Governor-General during the 1857 revolt and subsequently became the first Viceroy of India.

Q7. Which acid is present in ants' sting?
  1. Acetic acid
  2. Formic acid
  3. Citric acid
  4. Tartaric acid

Answer: (B) Formic acid

Formic acid (methanoic acid) is present in the venom injected by ant bites.

Q8. The concept of 'Directive Principles of State Policy' in the Indian Constitution was borrowed from which country?
  1. USA
  2. Ireland
  3. Britain
  4. Canada

Answer: (B) Ireland

DPSP (Part IV) was borrowed from the Constitution of Ireland.

Q9. Which pass connects Srinagar with Leh?
  1. Nathu La
  2. Shipki La
  3. Zoji La
  4. Rohtang Pass

Answer: (C) Zoji La

Zoji La pass links Srinagar to Leh on National Highway 1.

Q10. Who authored the famous ancient treatise 'Arthashastra'?
  1. Megasthenes
  2. Banabhatta
  3. Kautilya
  4. Kalidasa

Answer: (C) Kautilya

Arthashastra was written by Kautilya (Chanakya/Vishnugupta).

Q11. Which tax is an indirect tax in India?
  1. Income Tax
  2. Corporation Tax
  3. Goods and Services Tax (GST)
  4. Capital Gains Tax

Answer: (C) Goods and Services Tax (GST)

GST is a comprehensive indirect tax levied on the supply of goods and services.

Q12. In which state is the famous Kaziranga National Park located?
  1. West Bengal
  2. Assam
  3. Uttarakhand
  4. Madhya Pradesh

Answer: (B) Assam

Kaziranga National Park, famous for its one-horned rhinoceroses, is located in Assam.

Q13. What is the common chemical name of Plaster of Paris?
  1. Calcium Sulfate Hemihydrate
  2. Calcium Carbonate
  3. Sodium Chloride
  4. Calcium Hydroxide

Answer: (A) Calcium Sulfate Hemihydrate

Plaster of Paris chemical formula is CaSO4·0.5H2O, which is Calcium Sulfate Hemihydrate.

Q14. Who was the ruler of the Delhi Sultanate when the famous traveler Ibn Battuta visited India?
  1. Alauddin Khalji
  2. Muhammad bin Tughluq
  3. Firoz Shah Tughluq
  4. Iltutmish

Answer: (B) Muhammad bin Tughluq

Ibn Battuta visited India during the reign of Muhammad bin Tughluq in the 14th century.

Q15. Which part of the brain controls involuntary actions like heartbeat and breathing?
  1. Cerebrum
  2. Cerebellum
  3. Medulla Oblongata
  4. Hypothalamus

Answer: (C) Medulla Oblongata

Medulla Oblongata regulates involuntary activities such as heart rate, respiration, and blood pressure.

Q16. Which schedule of the Indian Constitution lists the official languages recognized by the state?
  1. Seventh Schedule
  2. Eighth Schedule
  3. Ninth Schedule
  4. Tenth Schedule

Answer: (B) Eighth Schedule

The Eighth Schedule contains the 22 official languages of India.

Q17. The famous classical dance form 'Kathakali' originated in which Indian state?
  1. Tamil Nadu
  2. Kerala
  3. Karnataka
  4. Andhra Pradesh

Answer: (B) Kerala

Kathakali is a traditional classical dance-drama originating from Kerala.

Q18. Which gas is released during photosynthesis by green plants?
  1. Carbon Dioxide
  2. Nitrogen
  3. Oxygen
  4. Methane

Answer: (C) Oxygen

During photosynthesis, plants take in carbon dioxide and release oxygen.

Q19. Who led the Bardoli Satyagraha in 1928?
  1. Mahatma Gandhi
  2. Sardar Vallabhbhai Patel
  3. Jawaharlal Nehru
  4. Subhas Chandra Bose

Answer: (B) Sardar Vallabhbhai Patel

Sardar Vallabhbhai Patel led the successful peasant movement in Bardoli in 1928.

Q20. What is the phenomenon responsible for the twinkling of stars?
  1. Total Internal Reflection
  2. Atmospheric Refraction
  3. Dispersion of Light
  4. Diffraction of Light

Answer: (B) Atmospheric Refraction

Twinkling of stars is caused by atmospheric refraction of starlight due to changing atmospheric density.

Q21. The Pulicat Lake is situated on the border of which two Indian states?
  1. Odisha and Andhra Pradesh
  2. Andhra Pradesh and Tamil Nadu
  3. Tamil Nadu and Kerala
  4. Karnataka and Goa

Answer: (B) Andhra Pradesh and Tamil Nadu

Pulicat Lake is the second largest brackish water lagoon in India, located on the border of Andhra Pradesh and Tamil Nadu.

Q22. Which body is known as the 'Custodian of the Constitution' of India?
  1. Parliament of India
  2. President of India
  3. Supreme Court of India
  4. Prime Minister's Office

Answer: (C) Supreme Court of India

The Supreme Court of India acts as the guardian and custodian of the Indian Constitution.

Q23. Who established the Arya Samaj in 1875?
  1. Raja Ram Mohan Roy
  2. Swami Vivekananda
  3. Swami Dayanand Saraswati
  4. Jyotirao Phule

Answer: (C) Swami Dayanand Saraswati

Swami Dayanand Saraswati founded the Arya Samaj in 1875 in Bombay.

Q24. Which device converts mechanical energy into electrical energy?
  1. Electric Motor
  2. Dynamo / Electric Generator
  3. Transformer
  4. Voltmeter

Answer: (B) Dynamo / Electric Generator

An electric generator or dynamo converts mechanical energy into electrical energy using electromagnetic induction.

Q25. What is the term of office for a member of the Rajya Sabha?
  1. 5 years
  2. 6 years
  3. 4 years
  4. Permanent till 65 years age

Answer: (B) 6 years

Members of Rajya Sabha are elected for a term of 6 years, with one-third retiring every two years.

Q26. Find the missing term in the sequence: 5, 11, 23, 47, 95, ?
  1. 180
  2. 190
  3. 191
  4. 195

Answer: (C) 191

Pattern: ×2 + 1. (5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95, 95×2+1=191).

Q27. In a certain code, 'SMART' is written as 'TNBUS'. How is 'CANDLE' written in that code?
  1. DBOEMF
  2. DCMEMF
  3. DBOEMG
  4. EBOEMF

Answer: (A) DBOEMF

Pattern: +1 for every letter. C+1=D, A+1=B, N+1=O, D+1=E, L+1=M, E+1=F -> DBOEMF.

Q28. Select the odd pair from the following options:
  1. 6 - 36
  2. 8 - 64
  3. 12 - 144
  4. 14 - 190

Answer: (D) 14 - 190

6²=36, 8²=64, 12²=144. But 14² = 196 (given 190).

Q29. A person walks 12 km East, then 5 km North. How far is he from his initial point?
  1. 17 km
  2. 13 km
  3. 15 km
  4. 10 km

Answer: (B) 13 km

Distance = √(12² + 5²) = √(144 + 25) = √169 = 13 km.

Q30. Statements: All dogs are mammals. All mammals are animals. Conclusions: I. All dogs are animals. II. Some animals are dogs.
  1. Only I follows
  2. Only II follows
  3. Both I and II follow
  4. Neither follows

Answer: (C) Both I and II follow

Dogs are inside Mammals, which are inside Animals. Thus both conclusions are valid.

Q31. Pointing to a photograph, a man said, 'I have no brother or sister, but that man's father is my father's son.' Whose photograph was it?
  1. His own
  2. His father's
  3. His son's
  4. His nephew's

Answer: (C) His son's

'My father's son' = himself (since he has no siblings). So the man's father is himself. The photo is of his son.

Q32. Analogy: Hygrometer : Humidity :: Barometer : ?
  1. Temperature
  2. Pressure
  3. Wind Speed
  4. Earthquake

Answer: (B) Pressure

Hygrometer measures humidity; Barometer measures atmospheric pressure.

Q33. If 1st January 2024 was a Monday, what day of the week was 1st January 2025?
  1. Tuesday
  2. Wednesday
  3. Thursday
  4. Friday

Answer: (B) Wednesday

2024 is a leap year (366 days = 2 odd days). Monday + 2 days = Wednesday.

Q34. If '+' means '×', '-' means '÷', '×' means '+', and '÷' means '-', then solve: 15 - 3 + 4 × 6 ÷ 2 = ?
  1. 24
  2. 22
  3. 20
  4. 26

Answer: (A) 24

15 ÷ 3 × 4 + 6 - 2 = (5 × 4) + 6 - 2 = 20 + 6 - 2 = 24.

Q35. In a row of 50 people, Amit is 18th from the left. What is his rank from the right end?
  1. 32nd
  2. 33rd
  3. 34th
  4. 31st

Answer: (B) 33rd

Rank from right = Total - Rank from left + 1 = 50 - 18 + 1 = 33rd.

Q36. Find the missing number in the series: 2, 6, 12, 20, 30, ?
  1. 40
  2. 42
  3. 44
  4. 36

Answer: (B) 42

Differences: +4, +6, +8, +10, +12. So 30 + 12 = 42. (Or 1×2, 2×3, 3×4, 4×5, 5×6, 6×7 = 42).

Q37. Which Venn diagram represents: Mammals, Cows, Crows?
  1. One circle inside a larger circle, and a third circle completely separate
  2. Three disjoint circles
  3. Three mutually intersecting circles
  4. Two intersecting circles inside a big circle

Answer: (A) One circle inside a larger circle, and a third circle completely separate

Cows are inside Mammals; Crows are birds, represented by an independent separate circle.

Q38. Arrange in logical order: 1. Letter 2. Word 3. Sentence 4. Paragraph 5. Page
  1. 1, 2, 3, 4, 5
  2. 2, 1, 3, 4, 5
  3. 5, 4, 3, 2, 1
  4. 1, 3, 2, 4, 5

Answer: (A) 1, 2, 3, 4, 5

Ascending order: Letter (1) -> Word (2) -> Sentence (3) -> Paragraph (4) -> Page (5).

Q39. If PEN is coded as 35, how is HEN coded?
  1. 25
  2. 27
  3. 29
  4. 31

Answer: (B) 27

PEN = 16 + 5 + 14 = 35. HEN = 8 + 5 + 14 = 27.

Q40. Analogy: 8 : 65 :: 10 : ?
  1. 100
  2. 101
  3. 102
  4. 99

Answer: (B) 101

Pattern: n : n² + 1. (8² + 1 = 65; 10² + 1 = 101).

Q41. Find the angle between the hands of a clock at 4:20.
  1. 0°
  2. 10°
  3. 15°
  4. 20°

Answer: (B) 10°

Angle = |30(4) - (11/2)(20)| = |120 - 110| = 10°.

Q42. Select the odd number out: 64, 125, 216, 300
  1. 64
  2. 125
  3. 216
  4. 300

Answer: (D) 300

64 (4³), 125 (5³), 216 (6³) are perfect cubes, while 300 is not.

Q43. A is B's brother. C is A's father. D is C's sister. E is D's mother. How is B related to E?
  1. Grandson or Granddaughter
  2. Son
  3. Daughter
  4. Brother

Answer: (A) Grandson or Granddaughter

C is father of A and B. E is mother of C. Thus B is grandchild of E.

Q44. Analogy: Doctor : Hospital :: Teacher : ?
  1. School
  2. Books
  3. Students
  4. Board

Answer: (A) School

Doctor's workplace is a hospital; Teacher's workplace is a school.

Q45. Missing term: C3E, E5G, G7I, I9K, ?
  1. K11M
  2. K10M
  3. J11M
  4. K11N

Answer: (A) K11M

First letter (+2): C, E, G, I, K. Middle number (+2): 3, 5, 7, 9, 11. Third letter (+2): E, G, I, K, M.

Q46. A person walks 5 km North, turns right and goes 3 km, turns right again and goes 5 km. Where is he from the start?
  1. 3 km East
  2. 3 km West
  3. 5 km East
  4. At starting point

Answer: (A) 3 km East

North 5, Right (East) 3, Right (South) 5 brings him 3 km East relative to starting point.

Q47. How many squares are there in a standard 3x3 grid chessboard pattern?
  1. 14
  2. 9
  3. 10
  4. 12

Answer: (A) 14

Formula: 1² + 2² + 3² = 1 + 4 + 9 = 14.

Q48. Complete the letter series: m _ o m n _ m _ o m n o
  1. n o n
  2. n o o
  3. m n o
  4. o n m

Answer: (A) n o n

Repeated cluster: 'm n o'. Blanks filled with 'n', 'o', 'n' give m[n]o m n[o] m[n]o m n o.

Q49. Statement: 'Regular exercise improves physical health.' Assumptions: I. People want to stay healthy. II. Physical health is affected by exercise.
  1. Both I and II are implicit
  2. Only I is implicit
  3. Only II is implicit
  4. Neither is implicit

Answer: (A) Both I and II are implicit

Both assumptions logically underpin the recommendation made in the statement.

Q50. Find the missing number in the matrix: | 2 | 3 | 5 | | 4 | 5 | 9 | | 6 | 7 | ? |
  1. 13
  2. 12
  3. 15
  4. 11

Answer: (A) 13

Row-wise rule: First element + Second element = Third element. 6 + 7 = 13.

Q51. Select the synonym of: **BENEVOLENT**
  1. Malevolent
  2. Kind
  3. Cruel
  4. Greedy

Answer: (B) Kind

'Benevolent' means well-meaning and kindly.

Q52. Select the antonym of: **DILIGENT**
  1. Lazy
  2. Hardworking
  3. Active
  4. Careful

Answer: (A) Lazy

'Diligent' means industrious and careful; 'Lazy' is the direct antonym.

Q53. Select the correctly spelt word:
  1. Accommodate
  2. Acommodate
  3. Accomodate
  4. Acomodate

Answer: (A) Accommodate

The correct spelling is 'Accommodate' (double 'c' and double 'm').

Q54. Identify error part: *Scarcely had he entered the room when the lights went off.*
  1. Scarcely had he
  2. entered the room
  3. when the lights went off
  4. No error

Answer: (D) No error

The sentence is grammatically correct ('Scarcely' pairs correctly with 'when').

Q55. Fill in the blank: *The police are looking ___ the murder case.*
  1. at
  2. into
  3. for
  4. on

Answer: (B) into

Phrasal verb 'look into' means to investigate.

Q56. Passive Voice: *They are playing a cricket match.*
  1. A cricket match is played by them.
  2. A cricket match is being played by them.
  3. A cricket match was being played by them.
  4. A cricket match has been played by them.

Answer: (B) A cricket match is being played by them.

Present continuous active ('are playing') converts to 'is being played' in passive.

Q57. Indirect Speech: *Rohan said, 'I have completed my work.'*
  1. Rohan said that he had completed his work.
  2. Rohan said that he completed his work.
  3. Rohan said that I have completed my work.
  4. Rohan told that he has completed his work.

Answer: (A) Rohan said that he had completed his work.

Present perfect ('have completed') shifts to past perfect ('had completed') in indirect speech.

Q58. One word substitution: *A person who dies without leaving a will*
  1. Intestate
  2. Testator
  3. Insolvent
  4. Bankrupt

Answer: (A) Intestate

'Intestate' refers to a person who dies without making a valid will.

Q59. Idiom meaning: **Spill the beans**
  1. To drop food
  2. To reveal a secret
  3. To create a mess
  4. To waste money

Answer: (B) To reveal a secret

'Spill the beans' means to disclose secret information prematurely.

Q60. Select the correctly spelt word:
  1. Maintenance
  2. Maintenence
  3. Maintanance
  4. Maintenace

Answer: (A) Maintenance

The correct spelling is 'Maintenance'.

Q61. Select the synonym of: **CANDID**
  1. Secretive
  2. Frank
  3. Dishonest
  4. Reserved

Answer: (B) Frank

'Candid' means truthful and straightforward; frank.

Q62. Select the antonym of: **TRANSIENT**
  1. Temporary
  2. Permanent
  3. Brief
  4. Fleeting

Answer: (B) Permanent

'Transient' means lasting only for a short time; 'Permanent' is its antonym.

Q63. Sentence Improvement: *If I was you, I would accept the job offer.*
  1. If I were you
  2. If I am you
  3. If I had been you
  4. No improvement

Answer: (A) If I were you

Subjunctive mood for hypothetical conditions uses 'were' with 'I'.

Q64. Fill in the blank: *She is proficient ___ speaking English.*
  1. in
  2. at
  3. with
  4. for

Answer: (A) in

'Proficient' takes the preposition 'in'.

Q65. One word substitution: *A life history of a person written by himself*
  1. Biography
  2. Autobiography
  3. Memoir
  4. Bibliography

Answer: (B) Autobiography

An 'Autobiography' is written by the subject themselves.

Q66. Idiom meaning: **Hit the nail on the head**
  1. To break something
  2. To do or say something exactly right
  3. To get hurt while working
  4. To fail completely

Answer: (B) To do or say something exactly right

'Hit the nail on the head' means to describe or identify a problem exactly.

Q67. Identify error part: *One of the students were absent yesterday.*
  1. One of the students
  2. were absent
  3. yesterday
  4. No error

Answer: (B) were absent

'One of the + plural noun' takes a singular verb ('was absent').

Q68. Fill in the blank: *The news ___ true.*
  1. are
  2. is
  3. were
  4. have been

Answer: (B) is

'News' is an uncountable noun that always takes a singular verb ('is').

Q69. Rearrange parts: P: Is known as Q: The city of Jaipur R: The Pink City S: All over the world
  1. Q-P-R-S
  2. P-Q-R-S
  3. R-S-Q-P
  4. S-R-P-Q

Answer: (A) Q-P-R-S

Correct order: Q ('The city of Jaipur') P ('is known as') R ('the Pink City') S ('all over the world').

Q70. Select the synonym of: **OBSTINATE**
  1. Flexible
  2. Stubborn
  3. Obedient
  4. Yielding

Answer: (B) Stubborn

'Obstinate' means refusing to change one's opinion; stubborn.

Q71. Select the antonym of: **VAGUE**
  1. Unclear
  2. Clear
  3. Indistinct
  4. Obscure

Answer: (B) Clear

'Vague' means indefinite or unclear; 'Clear' is its antonym.

Q72. Select the correctly spelt word:
  1. Millennium
  2. Millenium
  3. Milenium
  4. Milennium

Answer: (A) Millennium

The correct spelling is 'Millennium' (double 'l' and double 'n').

Q73. Fill in the blank: *He deals ___ food grains.*
  1. with
  2. in
  3. at
  4. for

Answer: (B) in

To 'deal in' means to carry on trade or business in a commodity.

Q74. Identify error part: *The teacher prevented the boy from to go out.*
  1. The teacher prevented
  2. the boy
  3. from to go out
  4. No error

Answer: (C) from to go out

'Prevent' takes 'from + V-ing'. It should be 'from going out'.

Q75. Idiom meaning: **Break the ice**
  1. To melt ice cubes
  2. To start a conversation in a social setting
  3. To cause an argument
  4. To get angry

Answer: (B) To start a conversation in a social setting

'Break the ice' means to do or say something to relieve tension or start interaction.

Q76. If the length and breadth of a rectangle are increased by 10% each, what is the percentage increase in area?
  1. 20%
  2. 21%
  3. 22%
  4. 25%

Answer: (B) 21%

Net % change = 10 + 10 + (10 × 10)/100 = 20 + 1 = 21%.

Q77. A article is sold for ₹720 at a profit of 20%. What was its cost price?
  1. ₹600
  2. ₹580
  3. ₹650
  4. ₹500

Answer: (A) ₹600

Cost Price = Selling Price / 1.20 = 720 / 1.20 = ₹600.

Q78. The average age of 5 numbers is 20. If one number is excluded, the average becomes 18. What is the excluded number?
  1. 26
  2. 28
  3. 24
  4. 30

Answer: (B) 28

Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.

Q79. A train 200 meters long crosses a platform 300 meters long in 25 seconds. What is the speed of the train in km/h?
  1. 60 km/h
  2. 72 km/h
  3. 54 km/h
  4. 90 km/h

Answer: (B) 72 km/h

Total distance = 200 + 300 = 500 m. Speed = 500 / 25 = 20 m/s = 20 × (18/5) = 72 km/h.

Q80. If A : B = 2 : 3 and B : C = 4 : 5, find A : B : C.
  1. 8 : 12 : 15
  2. 2 : 3 : 5
  3. 6 : 9 : 10
  4. 8 : 10 : 15

Answer: (A) 8 : 12 : 15

A : B = 8 : 12, B : C = 12 : 15. Thus A : B : C = 8 : 12 : 15.

Q81. A sum of money doubles itself in 5 years under simple interest. What is the rate of interest per annum?
  1. 15%
  2. 20%
  3. 10%
  4. 25%

Answer: (B) 20%

SI = P. Rate = (100 × P) / (P × 5) = 100 / 5 = 20%.

Q82. X can do a job in 10 days and Y can do it in 15 days. How many days will they take together?
  1. 5 days
  2. 6 days
  3. 8 days
  4. 7 days

Answer: (B) 6 days

Together = (10 × 15) / (10 + 15) = 150 / 25 = 6 days.

Q83. Find the HCF of 36, 54, and 90.
  1. 9
  2. 18
  3. 12
  4. 6

Answer: (B) 18

36 = 18×2, 54 = 18×3, 90 = 18×5. The HCF is 18.

Q84. If x - 1/x = 3, find the value of x² + 1/x².
  1. 9
  2. 11
  3. 7
  4. 13

Answer: (B) 11

x² + 1/x² = k² + 2 = 3² + 2 = 9 + 2 = 11.

Q85. The perimeter of a rectangle is 40 cm and its length is 12 cm. Find its area.
  1. 96 cm²
  2. 84 cm²
  3. 100 cm²
  4. 72 cm²

Answer: (A) 96 cm²

Perimeter = 2(l + b) => 40 = 2(12 + b) => 12 + b = 20 => b = 8 cm. Area = 12 × 8 = 96 cm².

Q86. Find the compound interest on ₹10,000 at 10% p.a. for 2 years, compounded annually.
  1. ₹2000
  2. ₹2100
  3. ₹2200
  4. ₹1900

Answer: (B) ₹2100

Amount = 10000 × (1.10)² = 12100. CI = 12100 - 10000 = ₹2100.

Q87. If a + b = 8 and a - b = 2, find the value of ab.
  1. 12
  2. 15
  3. 16
  4. 14

Answer: (B) 15

a = (8+2)/2 = 5, b = (8-2)/2 = 3. Thus ab = 5 × 3 = 15.

Q88. The radius of a circle is 14 cm. What is its circumference? (Use π = 22/7)
  1. 88 cm
  2. 44 cm
  3. 132 cm
  4. 176 cm

Answer: (A) 88 cm

Circumference = 2πr = 2 × (22/7) × 14 = 88 cm.

Q89. If cos θ = 4/5, find tan θ.
  1. 3/5
  2. 3/4
  3. 4/3
  4. 5/3

Answer: (B) 3/4

Adjacent = 4, Hypotenuse = 5, Opposite = √(5² - 4²) = 3. tan θ = Opposite/Adjacent = 3/4.

Q90. An article marked at ₹1000 is sold at a 15% discount. What is the selling price?
  1. ₹850
  2. ₹800
  3. ₹900
  4. ₹875

Answer: (A) ₹850

Selling Price = 1000 × (1 - 0.15) = ₹850.

Q91. What is the value of tan 45° + cot 45°?
  1. 1
  2. 2
  3. 0
  4. 1/2

Answer: (B) 2

tan 45° = 1, cot 45° = 1. Value = 1 + 1 = 2.

Q92. Pipe A can fill a tank in 4 hours and Pipe B in 6 hours. How long will it take to fill the tank if both are opened together?
  1. 2.4 hours
  2. 2.5 hours
  3. 3 hours
  4. 2 hours

Answer: (A) 2.4 hours

Time = (4 × 6) / (4 + 6) = 24 / 10 = 2.4 hours.

Q93. In a right-angled triangle, if one acute angle is 35°, what is the other acute angle?
  1. 45°
  2. 55°
  3. 65°
  4. 50°

Answer: (B) 55°

Sum of acute angles = 90°. Other angle = 90° - 35° = 55°.

Q94. The average of 4 numbers is 15. If a new number 25 is added, what is the new average?
  1. 16
  2. 17
  3. 18
  4. 19

Answer: (B) 17

Sum of 4 numbers = 60. New total sum = 60 + 25 = 85. New average = 85 / 5 = 17.

Q95. If the shadow of a pole is equal to its height, what is the angle of elevation of the Sun?
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Answer: (B) 45°

tan θ = Height / Shadow = 1 => θ = 45°.

Q96. Find the circumradius of an equilateral triangle with side 6√3 cm.
  1. 6 cm
  2. 3 cm
  3. 9 cm
  4. 4.5 cm

Answer: (A) 6 cm

Circumradius R = side / √3 = (6√3) / √3 = 6 cm.

Q97. Find the simple interest on ₹4000 at 5% p.a. for 3 years.
  1. ₹600
  2. ₹500
  3. ₹700
  4. ₹800

Answer: (A) ₹600

SI = (4000 × 5 × 3) / 100 = ₹600.

Q98. In what ratio must water be mixed with milk costing ₹50/litre to get a mixture worth ₹40/litre?
  1. 1 : 4
  2. 1 : 5
  3. 4 : 1
  4. 2 : 3

Answer: (A) 1 : 4

Water price = 0. Alligation ratio Water : Milk = (50 - 40) : (40 - 0) = 10 : 40 = 1 : 4.

Q99. How many diagonals are there in a convex octagon (8 sides)?
  1. 20
  2. 16
  3. 24
  4. 18

Answer: (A) 20

Diagonals = n(n - 3)/2 = 8(8 - 3)/2 = (8 × 5)/2 = 20.

Q100. A boat's speed in still water is 10 km/h and stream speed is 2 km/h. How long will it take to travel 24 km downstream?
  1. 2 hours
  2. 3 hours
  3. 2.5 hours
  4. 1.5 hours

Answer: (A) 2 hours

Downstream speed = 10 + 2 = 12 km/h. Time = 24 / 12 = 2 hours.