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SSC CGL Tier 1 & Tier 2 Mixed Mock Test: Practice Test 17

Question paper with answer key. Selection Pro

Q1. Which Fundamental Right was removed from the list of Fundamental Rights by the 44th Constitutional Amendment Act, 1978?
  1. Right to Equality
  2. Right to Freedom of Religion
  3. Right to Property
  4. Right against Exploitation

Answer: (C) Right to Property

The Right to Property was omitted from Fundamental Rights by the 44th Amendment in 1978 and made a legal right under Article 300A.

Q2. The famous Sun Temple of Konark was built during the reign of which king?
  1. Anantavarman Chodaganga
  2. Narasimhadeva I
  3. Rajendra Chola
  4. Kharavela

Answer: (B) Narasimhadeva I

The Konark Sun Temple in Odisha was constructed by King Narasimhadeva I of the Eastern Ganga Dynasty in the 13th century.

Q3. Which instrument is used to measure the intensity of earthquakes?
  1. Barometer
  2. Hygrometer
  3. Seismograph
  4. Anemometer

Answer: (C) Seismograph

A seismograph is an instrument used to detect and record seismic waves produced by earthquakes.

Q4. Which river is popularly known as the 'Dakshin Ganga'?
  1. Krishna
  2. Godavari
  3. Kaveri
  4. Narmada

Answer: (B) Godavari

Godavari is the largest peninsular river system in India and is often referred to as 'Dakshin Ganga' or 'Vridha Ganga'.

Q5. Which hormone is commonly known as the 'fight-or-flight' hormone?
  1. Insulin
  2. Adrenaline
  3. Thyroxine
  4. Estrogen

Answer: (B) Adrenaline

Adrenaline (epinephrine), secreted by the adrenal glands, prepares the body for quick response during stressful situations.

Q6. Who was the Viceroy of India when the Vernacular Press Act was passed in 1878?
  1. Lord Ripon
  2. Lord Curzon
  3. Lord Lytton
  4. Lord Dufferin

Answer: (C) Lord Lytton

The Vernacular Press Act was enacted by Lord Lytton in 1878 to curtail the freedom of the Indian-language press.

Q7. What is the primary chemical component of natural gas?
  1. Ethane
  2. Methane
  3. Propane
  4. Butane

Answer: (B) Methane

Methane (CH4) makes up the vast majority (70–90%) of natural gas composition.

Q8. Under which Article of the Constitution can the President of India declare a Financial Emergency?
  1. Article 352
  2. Article 356
  3. Article 360
  4. Article 368

Answer: (C) Article 360

Article 360 empowers the President to proclaim a Financial Emergency if the financial stability of India is threatened.

Q9. What is the SI unit of electric resistance?
  1. Ampere
  2. Volt
  3. Ohm
  4. Watt

Answer: (C) Ohm

The SI unit of electrical resistance is the Ohm (represented by Ω).

Q10. Keibul Lamjao, the world's only floating national park, is located in which Indian state?
  1. Assam
  2. Manipur
  3. Meghalaya
  4. Nagaland

Answer: (B) Manipur

Keibul Lamjao National Park is situated on Loktak Lake in the Bishnupur district of Manipur.

Q11. Which Medieval ruler constructed the famous fortress and city of Siri in Delhi?
  1. Qutb ud-Din Aibak
  2. Alauddin Khalji
  3. Iltutmish
  4. Ghiyas ud-din Balban

Answer: (B) Alauddin Khalji

Alauddin Khalji founded the city of Siri around 1303 to protect his empire against Mongol invasions.

Q12. The Duncan Passage separates which two landmasses?
  1. North Andaman and Middle Andaman
  2. South Andaman and Little Andaman
  3. Little Andaman and Nicobar
  4. Minicoy and Lakshadweep

Answer: (B) South Andaman and Little Andaman

Duncan Passage is a strait in the Indian Ocean that separates South Andaman and Little Andaman.

Q13. Which body calculates the Gross Domestic Product (GDP) in India?
  1. Reserve Bank of India
  2. NITI Aayog
  3. National Statistical Office (NSO)
  4. Ministry of Finance

Answer: (C) National Statistical Office (NSO)

The National Statistical Office (NSO), under MoSPI, is responsible for estimating GDP in India.

Q14. Deficiency of Vitamin C leads to which disease?
  1. Night blindness
  2. Rickets
  3. Scurvy
  4. Goitre

Answer: (C) Scurvy

Scurvy is caused by a lack of Vitamin C (ascorbic acid), leading to bleeding gums and skin spots.

Q15. Who founded the 'Servants of India Society' in 1905?
  1. Bal Gangadhar Tilak
  2. Gopal Krishna Gokhale
  3. Lala Lajpat Rai
  4. Dadabhai Naoroji

Answer: (B) Gopal Krishna Gokhale

Gopal Krishna Gokhale formed the Servants of India Society in Pune in 1905 to promote education and social welfare.

Q16. Which Constitutional Amendment is famously known as the 'Mini Constitution'?
  1. 42nd Amendment
  2. 44th Amendment
  3. 73rd Amendment
  4. 86th Amendment

Answer: (A) 42nd Amendment

The 42nd Constitutional Amendment Act of 1976 brought sweeping changes and is called the 'Mini Constitution'.

Q17. Which organelle is responsible for protein synthesis inside the cell?
  1. Mitochondria
  2. Ribosome
  3. Golgi apparatus
  4. Centrosome

Answer: (B) Ribosome

Ribosomes act as the protein factories of the cell, translating genetic information into amino acid sequences.

Q18. Who was the founder of the Maurya Empire?
  1. Ashoka
  2. Chandragupta Maurya
  3. Bindusara
  4. Bimbisara

Answer: (B) Chandragupta Maurya

Chandragupta Maurya established the Maurya Empire around 322 BCE with the assistance of Chanakya.

Q19. What is the common name for Sodium Bicarbonate (NaHCO3)?
  1. Washing soda
  2. Baking soda
  3. Caustic soda
  4. Bleaching powder

Answer: (B) Baking soda

Sodium Bicarbonate is commonly known as Baking soda, while Sodium Carbonate is Washing soda.

Q20. In which year was the Securities and Exchange Board of India (SEBI) established as a statutory body?
  1. 1988
  2. 1992
  3. 1995
  4. 2000

Answer: (B) 1992

SEBI was established as a non-statutory body in 1988 but given statutory status through the SEBI Act in 1992.

Q21. Bihu is a popular traditional folk dance of which Indian state?
  1. West Bengal
  2. Assam
  3. Odisha
  4. Jharkhand

Answer: (B) Assam

Bihu is the indigenous folk dance and harvest festival celebrated in Assam.

Q22. Who acts as the ex-officio Chairman of the Rajya Sabha?
  1. President of India
  2. Vice-President of India
  3. Prime Minister of India
  4. Speaker of Lok Sabha

Answer: (B) Vice-President of India

Under Article 64, the Vice-President of India serves as the ex-officio Chairman of the Rajya Sabha.

Q23. Which non-metal is a good conductor of electricity?
  1. Diamond
  2. Graphite
  3. Sulphur
  4. Phosphorus

Answer: (B) Graphite

Graphite, an allotrope of carbon, conducts electricity due to free delocalized electrons between its layers.

Q24. The Majuli island, the world's largest river island, is formed by which river?
  1. Ganga
  2. Brahmaputra
  3. Indus
  4. Mahanadi

Answer: (B) Brahmaputra

Majuli island is located in the Brahmaputra River in Assam.

Q25. Who was the editor of the revolutionary journal 'Vande Mataram' founded in Paris?
  1. Madam Bhikaji Cama
  2. Lala Hardayal
  3. Shyamji Krishna Varma
  4. V.D. Savarkar

Answer: (A) Madam Bhikaji Cama

Madam Bhikaji Cama founded and edited the Paris-based revolutionary journal 'Vande Mataram' in 1909.

Q26. Find the missing term in the sequence: 4, 9, 20, 43, 90, ?
  1. 180
  2. 185
  3. 183
  4. 187

Answer: (B) 185

Pattern: ×2 + 1, ×2 + 2, ×2 + 3, ×2 + 4, ×2 + 5. (4×2+1=9; 9×2+2=20; 20×2+3=43; 43×2+4=90; 90×2+5=185).

Q27. In a certain code, 'PLANT' is written as 'QMBOU'. How is 'FLOWER' written in that code?
  1. GMZXFS
  2. GOMXFS
  3. GMNXFS
  4. GMPXFS

Answer: (D) GMPXFS

Pattern: Every letter is shifted by +1. F(+1)=G, L(+1)=M, O(+1)=P, W(+1)=X, E(+1)=F, R(+1)=S. Hence, FLOWER becomes GMPXFS.

Q28. Select the odd pair from the following options:
  1. 5 - 25
  2. 7 - 49
  3. 11 - 121
  4. 13 - 167

Answer: (D) 13 - 167

5²=25, 7²=49, 11²=121. But 13² = 169 (given 167).

Q29. A man walks 15 km West, turns South and walks 8 km. How far is he from his starting point?
  1. 23 km
  2. 17 km
  3. 20 km
  4. 19 km

Answer: (B) 17 km

Distance = √(15² + 8²) = √(225 + 64) = √289 = 17 km.

Q30. Statements: All apples are fruits. All fruits are healthy. Conclusions: I. All apples are healthy. II. Some healthy things are apples.
  1. Only I follows
  2. Only II follows
  3. Both I and II follow
  4. Neither follows

Answer: (C) Both I and II follow

Apples are inside Fruits, which are inside Healthy. Hence, all apples are healthy and some healthy things are apples.

Q31. Pointing to a man, a woman said, 'His mother is the only daughter of my father.' How is the woman related to the man?
  1. Sister
  2. Mother
  3. Aunt
  4. Daughter

Answer: (B) Mother

Only daughter of woman's father = the woman herself. She is his mother.

Q32. Complete the letter series: a b _ a a b b _ a a _ b b a
  1. b a b
  2. a b a
  3. b b a
  4. a a b

Answer: (A) b a b

Pattern repeats 'a b b a'. Filled blanks: a b [b] a | a b b [a] | a a [b] b a -> b a b.

Q33. Analogy: Thermometer : Temperature :: Ammeter : ?
  1. Voltage
  2. Electric Current
  3. Power
  4. Resistance

Answer: (B) Electric Current

Thermometer measures temperature; Ammeter measures electric current.

Q34. If 1st March 2023 was a Wednesday, what day of the week was 1st March 2024?
  1. Thursday
  2. Friday
  3. Saturday
  4. Wednesday

Answer: (A) Thursday

2023 is a non-leap year (365 days = 1 odd day). Wednesday + 1 day = Thursday.

Q35. If '+' means '÷', '-' means '+', '×' means '-', and '÷' means '×', then solve: 20 + 4 - 8 ÷ 2 × 5 = ?
  1. 16
  2. 12
  3. 18
  4. 15

Answer: (A) 16

20 ÷ 4 + 8 × 2 - 5 = 5 + 16 - 5 = 16.

Q36. In a row of 40 students, Priya is 15th from the right end. What is her position from the left end?
  1. 25th
  2. 26th
  3. 27th
  4. 24th

Answer: (B) 26th

Position from left = Total - Position from right + 1 = 40 - 15 + 1 = 26th.

Q37. Find the missing number in the series: 3, 8, 18, 38, 78, ?
  1. 156
  2. 158
  3. 160
  4. 154

Answer: (B) 158

Pattern: ×2 + 2. (3×2+2=8, 8×2+2=18, 18×2+2=38, 38×2+2=78, 78×2+2=158).

Q38. Which Venn diagram represents: Vehicles, Buses, Cars?
  1. Two disjoint circles inside a larger outer circle
  2. Three mutually intersecting circles
  3. One circle inside another inside a third
  4. Three completely separate circles

Answer: (A) Two disjoint circles inside a larger outer circle

Both Buses and Cars are separate sub-categories inside the broader circle of Vehicles.

Q39. Arrange in logical order: 1. Country 2. Village 3. State 4. District 5. Continent
  1. 2, 4, 3, 1, 5
  2. 1, 2, 3, 4, 5
  3. 2, 3, 4, 1, 5
  4. 5, 1, 3, 4, 2

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

Ascending order of size: Village (2) -> District (4) -> State (3) -> Country (1) -> Continent (5).

Q40. If CAT is coded as 24 and DOG is coded as 26, how is BIRD coded?
  1. 33
  2. 34
  3. 32
  4. 30

Answer: (A) 33

Sum of positional values of letters: C(3) + A(1) + T(20) = 24, D(4) + O(15) + G(7) = 26. Similarly, B(2) + I(9) + R(18) + D(4) = 33.

Q41. Analogy: 7 : 50 :: 9 : ?
  1. 82
  2. 80
  3. 81
  4. 83

Answer: (A) 82

Pattern: n : n² + 1. (7² + 1 = 50; 9² + 1 = 82).

Q42. Find the angle between the hour hand and minute hand at 3:30.
  1. 75°
  2. 85°
  3. 90°
  4. 60°

Answer: (A) 75°

Angle = |30(3) - (11/2)(30)| = |90 - 165| = 75°.

Q43. Five friends A, B, C, D, E are facing North in a row. C is to the immediate right of D. B is to immediate left of E and immediate right of C. Who sits at extreme left?
  1. A or D
  2. B
  3. C
  4. E

Answer: (A) A or D

Sequence built: D - C - B - E. Position of A can be at extreme left (A - D - C - B - E) or elsewhere.

Q44. Find the odd number out: 125, 216, 343, 500
  1. 125
  2. 216
  3. 343
  4. 500

Answer: (D) 500

125 (5³), 216 (6³), 343 (7³) are perfect cubes, whereas 500 is not.

Q45. A is the sister of B. C is the mother of B. D is the father of C. How is A related to D?
  1. Granddaughter
  2. Daughter
  3. Grandmother
  4. Sister

Answer: (A) Granddaughter

A and B are children of C. D is father of C. Therefore, A is the granddaughter of D.

Q46. Analogy: Chef : Kitchen :: Farmer : ?
  1. Field
  2. Crops
  3. Tractor
  4. Barn

Answer: (A) Field

A chef works in a kitchen; a farmer works in a field.

Q47. Missing term: B2D, D4F, F8H, H16J, ?
  1. J32L
  2. J32K
  3. I32L
  4. J16L

Answer: (A) J32L

First letter (+2): B, D, F, H, J. Middle number (×2): 2, 4, 8, 16, 32. Last letter (+2): D, F, H, J, L.

Q48. A person travels 10 km East, turns left and goes 10 km, then turns left again and goes 10 km. Which direction is he facing now?
  1. West
  2. East
  3. North
  4. South

Answer: (A) West

Started East. First left faces North. Second left faces West.

Q49. Statement: 'Plant more trees to reduce environmental pollution.' Assumptions: I. Trees help in reducing pollution. II. People prefer living in unpolluted environments.
  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

The statement assumes planting trees counteracts pollution and that tackling pollution is desirable.

Q50. How many total straight lines are required to draw a simple star made by overlapping two equilateral triangles (Star of David)?
  1. 6
  2. 8
  3. 12
  4. 10

Answer: (A) 6

Two equilateral triangles require 3 + 3 = 6 straight lines in total.

Q51. Select the synonym of: **MANDATORY**
  1. Optional
  2. Compulsory
  3. Secondary
  4. Voluntary

Answer: (B) Compulsory

'Mandatory' means required by law or rules; compulsory.

Q52. Select the antonym of: **FRUGAL**
  1. Extravagant
  2. Economical
  3. Thrifty
  4. Prudent

Answer: (A) Extravagant

'Frugal' means economical/sparing; 'Extravagant' is its antonym.

Q53. Select the correctly spelt word:
  1. Occurrence
  2. Occurence
  3. Ocurrence
  4. Occurrance

Answer: (A) Occurrence

The correct spelling is 'Occurrence' (double 'c' and double 'r').

Q54. Identify error part: *Hardly had I reached the station than the train left.*
  1. Hardly had I
  2. reached the station
  3. than the train left
  4. No error

Answer: (C) than the train left

'Hardly' should be paired with 'when' or 'before', not 'than'.

Q55. Fill in the blank: *He is addicted ___ playing online video games.*
  1. to
  2. with
  3. for
  4. in

Answer: (A) to

'Addicted' takes the fixed preposition 'to'.

Q56. Passive Voice: *The police caught the thief red-handed.*
  1. The thief was caught red-handed by the police.
  2. The thief is caught red-handed by police.
  3. The thief had been caught red-handed by police.
  4. The thief was being caught red-handed by police.

Answer: (A) The thief was caught red-handed by the police.

Past simple active ('caught') converts to 'was caught' in passive.

Q57. Indirect Speech: *She said to me, 'Where are you going?'*
  1. She asked me where I was going.
  2. She asked me where was I going.
  3. She told me where I am going.
  4. She asked me that where I was going.

Answer: (A) She asked me where I was going.

Interrogative sentences change to assertive word order (subject + verb) in indirect speech.

Q58. One word substitution: *One who looks at the bright side of things*
  1. Pessimist
  2. Optimist
  3. Altruist
  4. Egoist

Answer: (B) Optimist

An 'Optimist' is a person who tends to be hopeful and confident about the future.

Q59. Idiom meaning: **Burn the midnight oil**
  1. To work late into the night
  2. To waste resources
  3. To cause damage
  4. To set something on fire

Answer: (A) To work late into the night

'Burn the midnight oil' means to study or work late into the night.

Q60. Select the correctly spelt word:
  1. Questionnaire
  2. Questionare
  3. Questionaire
  4. Questionnair

Answer: (A) Questionnaire

The correct spelling is 'Questionnaire' (double 'n' and ending in 'aire').

Q61. Select the synonym of: **LUCID**
  1. Clear
  2. Confusing
  3. Vague
  4. Dark

Answer: (A) Clear

'Lucid' means expressed clearly or easy to understand.

Q62. Select the antonym of: **ARROGANT**
  1. Humble
  2. Proud
  3. Haughty
  4. Insolent

Answer: (A) Humble

'Arrogant' means having an exaggerated sense of self-importance; 'Humble' is its antonym.

Q63. Sentence Improvement: *He is senior than me in service.*
  1. senior to me
  2. senior from me
  3. more senior than me
  4. No improvement

Answer: (A) senior to me

Adjectives ending in '-ior' (senior, junior, superior) take 'to' instead of 'than'.

Q64. Fill in the blank: *The meeting was postponed due ___ heavy rain.*
  1. to
  2. for
  3. with
  4. by

Answer: (A) to

The phrase is 'due to', meaning caused by or because of.

Q65. One word substitution: *A person who collects or studies stamps*
  1. Philatelist
  2. Numismatist
  3. Somnambulist
  4. Philanthropist

Answer: (A) Philatelist

A 'Philatelist' studies and collects postage stamps.

Q66. Idiom meaning: **Bite the bullet**
  1. To face a difficult situation with courage
  2. To get shot in battle
  3. To eat something hard
  4. To avoid responsibility

Answer: (A) To face a difficult situation with courage

'Bite the bullet' means to face a painful or tough situation courageously.

Q67. Identify error part: *Neither of the two candidates have submitted their application.*
  1. Neither of the two candidates
  2. have submitted
  3. their application
  4. No error

Answer: (B) have submitted

'Neither' requires a singular verb ('has submitted').

Q68. Fill in the blank: *Bread and butter ___ a wholesome breakfast.*
  1. is
  2. are
  3. were
  4. have been

Answer: (A) is

When two nouns express a single compound idea/item, a singular verb ('is') is used.

Q69. Rearrange parts: P: Honesty Q: Policy R: Best S: Is the
  1. P-S-R-Q
  2. P-Q-R-S
  3. S-P-Q-R
  4. R-S-P-Q

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

Correct order: P ('Honesty') S ('is the') R ('best') Q ('policy').

Q70. Select the synonym of: **ADVERSITY**
  1. Hardship
  2. Prosperity
  3. Happiness
  4. Fortune

Answer: (A) Hardship

'Adversity' means difficult situations or hardship.

Q71. Select the antonym of: **CONCEAL**
  1. Reveal
  2. Hide
  3. Cover
  4. Disguise

Answer: (A) Reveal

'Conceal' means to hide; 'Reveal' means to make known or display.

Q72. Select the correctly spelt word:
  1. Bureaucracy
  2. Beurocracy
  3. Bureaucracey
  4. Burocracy

Answer: (A) Bureaucracy

The correct spelling is 'Bureaucracy'.

Q73. Fill in the blank: *She insisted ___ paying the restaurant bill.*
  1. on
  2. for
  3. to
  4. at

Answer: (A) on

The verb 'insist' takes the preposition 'on'.

Q74. Identify error part: *Although he worked hard, but he failed the exam.*
  1. Although he worked hard
  2. but he failed
  3. the exam
  4. No error

Answer: (B) but he failed

'Although' is not paired with 'but'. Remove 'but' or use 'yet'.

Q75. Idiom meaning: **Once in a blue moon**
  1. Very rarely
  2. Very frequently
  3. On full moon night
  4. Every month

Answer: (A) Very rarely

'Once in a blue moon' means an event that happens very rarely.

Q76. If the side of a square is increased by 20%, by what percentage does its area increase?
  1. 44%
  2. 40%
  3. 20%
  4. 50%

Answer: (A) 44%

% Change = 20 + 20 + (20 × 20)/100 = 40 + 4 = 44%.

Q77. By selling an article for ₹450, a shopkeeper incurs a loss of 10%. At what price should he sell it to gain 20%?
  1. ₹600
  2. ₹550
  3. ₹580
  4. ₹620

Answer: (A) ₹600

Cost Price = 450 / 0.90 = ₹500. New Selling Price = 500 × 1.20 = ₹600.

Q78. The average weight of 8 men is increased by 1.5 kg when a new man comes in place of one weighing 65 kg. What is the weight of the new man?
  1. 77 kg
  2. 75 kg
  3. 80 kg
  4. 72 kg

Answer: (A) 77 kg

Weight of new man = Weight of replaced man + (Total persons × Increase) = 65 + (8 × 1.5) = 65 + 12 = 77 kg.

Q79. A train 150 meters long passes a pole in 9 seconds. What is the speed of the train in km/h?
  1. 60 km/h
  2. 54 km/h
  3. 72 km/h
  4. 48 km/h

Answer: (A) 60 km/h

Speed = 150/9 m/s = (150/9) × (18/5) = 30 × 2 = 60 km/h.

Q80. If 3A = 4B = 5C, find A : B : C.
  1. 20 : 15 : 12
  2. 3 : 4 : 5
  3. 5 : 4 : 3
  4. 12 : 15 : 20

Answer: (A) 20 : 15 : 12

A : B : C = 1/3 : 1/4 : 1/5 = Multiply by LCM (60) => 20 : 15 : 12.

Q81. At what rate of simple interest per annum will a sum of money double itself in 8 years?
  1. 12.5%
  2. 10%
  3. 15%
  4. 8%

Answer: (A) 12.5%

SI = P. R = (100 × SI) / (P × T) = 100 / 8 = 12.5%.

Q82. A can complete a task in 12 days and B can finish it in 24 days. If they work together, how many days will they take?
  1. 8 days
  2. 6 days
  3. 10 days
  4. 9 days

Answer: (A) 8 days

Combined days = (12 × 24) / (12 + 24) = 288 / 36 = 8 days.

Q83. Find the smallest number which when divided by 12, 15, and 20 leaves a remainder of 3 in each case.
  1. 63
  2. 60
  3. 65
  4. 57

Answer: (A) 63

LCM(12, 15, 20) = 60. Required number = LCM + 3 = 60 + 3 = 63.

Q84. If x + 1/x = 4, find the value of x³ + 1/x³.
  1. 52
  2. 64
  3. 48
  4. 56

Answer: (A) 52

x³ + 1/x³ = k³ - 3k = 4³ - 3(4) = 64 - 12 = 52.

Q85. The diagonal of a square is 10√2 cm. What is its perimeter?
  1. 40 cm
  2. 20 cm
  3. 30 cm
  4. 50 cm

Answer: (A) 40 cm

Side = Diagonal / √2 = 10 cm. Perimeter = 4 × side = 40 cm.

Q86. Find the compound interest on ₹8000 for 2 years at 5% per annum, compounded annually.
  1. ₹820
  2. ₹800
  3. ₹840
  4. ₹850

Answer: (A) ₹820

Amount = 8000 × (105/100)² = 8000 × (21/20) × (21/20) = 8820. CI = 8820 - 8000 = ₹820.

Q87. If x + y = 10 and xy = 21, what is the value of x² + y²?
  1. 58
  2. 62
  3. 54
  4. 60

Answer: (A) 58

x² + y² = (x + y)² - 2xy = 10² - 2(21) = 100 - 42 = 58.

Q88. The radius of a sphere is 7 cm. Find its surface area (Take π = 22/7).
  1. 616 cm²
  2. 308 cm²
  3. 1232 cm²
  4. 154 cm²

Answer: (A) 616 cm²

Surface Area = 4πr² = 4 × (22/7) × 7 × 7 = 616 cm².

Q89. If sin θ = 3/5, what is the value of tan θ?
  1. 3/4
  2. 4/3
  3. 4/5
  4. 3/5

Answer: (A) 3/4

Opposite = 3, Hypotenuse = 5, Adjacent = √(5² - 3²) = 4. tan θ = 3/4.

Q90. Two successive discounts of 20% and 10% are equivalent to a single discount of:
  1. 28%
  2. 30%
  3. 25%
  4. 32%

Answer: (A) 28%

Equivalent discount = 20 + 10 - (20 × 10)/100 = 30 - 2 = 28%.

Q91. Evaluate: sin² 30° + cos² 30°
  1. 1
  2. 0
  3. 1/2
  4. 2

Answer: (A) 1

By fundamental identity sin²θ + cos²θ = 1.

Q92. A tap fills a tank in 6 hours and a second tap empties it in 8 hours. How long will it take to fill the tank if both are opened together?
  1. 24 hours
  2. 12 hours
  3. 18 hours
  4. 14 hours

Answer: (A) 24 hours

Net filling rate = 1/6 - 1/8 = 1/24. Time required = 24 hours.

Q93. In a triangle ABC, if ∠A = 50° and ∠B = 60°, what is ∠C?
  1. 70°
  2. 80°
  3. 60°
  4. 90°

Answer: (A) 70°

Sum of angles in a triangle = 180°. ∠C = 180° - (50° + 60°) = 70°.

Q94. The average of 6 numbers is 12. If each number is multiplied by 2, what will be the new average?
  1. 24
  2. 14
  3. 18
  4. 12

Answer: (A) 24

Multiplying each observation by k multiplies the overall average by k. New average = 12 × 2 = 24.

Q95. The angle of elevation of the top of a tower from a point 30 m away from its foot is 45°. What is the height of the tower?
  1. 30 m
  2. 15 m
  3. 30√3 m
  4. 60 m

Answer: (A) 30 m

tan 45° = Height / 30 => 1 = Height / 30 => Height = 30 m.

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

Answer: (A) √3 cm

Inradius r = a / (2√3) = 6 / (2√3) = 3 / √3 = √3 cm.

Q97. What is the simple interest on ₹5000 at 8% p.a. for 2.5 years?
  1. ₹1000
  2. ₹1200
  3. ₹800
  4. ₹1100

Answer: (A) ₹1000

SI = (5000 × 8 × 2.5) / 100 = 50 × 20 = ₹1000.

Q98. In what ratio must tea at ₹60/kg be mixed with tea at ₹75/kg to produce a mixture worth ₹65/kg?
  1. 2 : 1
  2. 1 : 2
  3. 3 : 2
  4. 2 : 3

Answer: (A) 2 : 1

By Alligation: (75 - 65) : (65 - 60) = 10 : 5 = 2 : 1.

Q99. How many diagonals does a convex hexagon (6 sides) have?
  1. 9
  2. 6
  3. 12
  4. 8

Answer: (A) 9

Number of diagonals = n(n - 3)/2 = 6(6 - 3)/2 = (6 × 3)/2 = 9.

Q100. A boat goes 12 km downstream in 1 hour and returns upstream in 2 hours. What is the speed of the stream?
  1. 3 km/h
  2. 6 km/h
  3. 9 km/h
  4. 2 km/h

Answer: (A) 3 km/h

Downstream speed (D) = 12/1 = 12 km/h. Upstream speed (U) = 12/2 = 6 km/h. Stream speed = (D - U)/2 = (12 - 6)/2 = 3 km/h.