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SSC CGL Tier 1 & Tier 2 Mixed Mock Test: Practice Test 15

Question paper with answer key. Selection Pro

Q1. Which Article of the Indian Constitution deals with the Election Commission of India?
  1. Article 315
  2. Article 324
  3. Article 280
  4. Article 352

Answer: (B) Article 324

Article 324 of the Indian Constitution grants powers of superintendence, direction, and control of elections to the Election Commission.

Q2. The famous Harappan site 'Dholavira', known for its water management system, is situated in which Indian state?
  1. Rajasthan
  2. Haryana
  3. Gujarat
  4. Punjab

Answer: (C) Gujarat

Dholavira is located in the Kutch district of Gujarat, famous for its grand water reservoirs and unique urban planning.

Q3. What is the SI unit of Magnetic Flux?
  1. Weber
  2. Tesla
  3. Henry
  4. Lumen

Answer: (A) Weber

Weber (Wb) is the SI unit of magnetic flux. Tesla is the unit of magnetic flux density.

Q4. Which river is popularly known as the 'Sorrow of Bengal'?
  1. Kosi
  2. Damodar
  3. Hooghly
  4. Mahanadi

Answer: (B) Damodar

Damodar River was formerly known as the 'Sorrow of Bengal' due to its devastating annual floods.

Q5. Which organ in the human body produces Insulin?
  1. Liver
  2. Thyroid
  3. Pancreas
  4. Adrenal gland

Answer: (C) Pancreas

Insulin is secreted by the beta cells of the Islets of Langerhans in the Pancreas.

Q6. Who founded the 'Atmiya Sabha' in 1815, which later led to the establishment of Brahmo Samaj?
  1. Swami Vivekananda
  2. Raja Ram Mohan Roy
  3. Ishwar Chandra Vidyasagar
  4. Debendranath Tagore

Answer: (B) Raja Ram Mohan Roy

Raja Ram Mohan Roy founded Atmiya Sabha in Kolkata in 1815 to campaign against social evils and idolatry.

Q7. What is the common chemical name of Baking Soda?
  1. Sodium Carbonate
  2. Sodium Hydroxide
  3. Sodium Bicarbonate
  4. Calcium Chloride

Answer: (C) Sodium Bicarbonate

Baking Soda is chemically known as Sodium Bicarbonate (NaHCO3).

Q8. Under which Constitutional Amendment Act was the voting age reduced from 21 to 18 years in India?
  1. 44th Amendment Act
  2. 61st Amendment Act
  3. 73rd Amendment Act
  4. 86th Amendment Act

Answer: (B) 61st Amendment Act

The 61st Constitutional Amendment Act, 1988 reduced the voting age from 21 to 18 years for Lok Sabha and Assembly elections.

Q9. Escape velocity from the surface of the Earth is approximately equal to:
  1. 9.8 km/s
  2. 11.2 km/s
  3. 8.5 km/s
  4. 15.0 km/s

Answer: (B) 11.2 km/s

The minimum speed required for an object to escape Earth's gravitational field is approximately 11.2 km/s.

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

Answer: (C) Manipur

Keibul Lamjao National Park is situated on Loktak Lake in Manipur and is famous for the endangered Sangai deer.

Q11. Who was the court poet of King Harshavardhana who wrote the biography 'Harshacharita'?
  1. Kalidasa
  2. Banabhatta
  3. Harisena
  4. Ravikirti

Answer: (B) Banabhatta

Banabhatta was the court poet (Sanskrit scholar) of Harshavardhana and authored 'Harshacharita' and 'Kadambari'.

Q12. Which layer of the atmosphere is most suitable for flying commercial jet airplanes?
  1. Troposphere
  2. Stratosphere
  3. Mesosphere
  4. Exosphere

Answer: (B) Stratosphere

The Stratosphere is calm, dry, and free from weather turbulence, making it ideal for flying jet aircraft.

Q13. Which curve illustrates the inverse relationship between the rate of inflation and the rate of unemployment?
  1. Lorenz Curve
  2. Laffer Curve
  3. Phillips Curve
  4. Kuznets Curve

Answer: (C) Phillips Curve

The Phillips Curve demonstrates that inflation and unemployment have a stable and inverse relationship.

Q14. Which instrument is used to record electrical activity of the heart?
  1. Electroencephalogram (EEG)
  2. Electrocardiogram (ECG)
  3. Sphygmomanometer
  4. Stethoscope

Answer: (B) Electrocardiogram (ECG)

An Electrocardiogram (ECG) records the electrical signal from the heart to check for various cardiac conditions.

Q15. Who was the Viceroy of British India during the Partition of Bengal in 1905?
  1. Lord Ripon
  2. Lord Dalhousie
  3. Lord Curzon
  4. Lord Hardinge

Answer: (C) Lord Curzon

Lord Curzon was the Viceroy who announced the partition of Bengal in July 1905, effective from October 1905.

Q16. Which Fundamental Right in the Indian Constitution is described as the 'Heart and Soul' of the Constitution by Dr. B.R. Ambedkar?
  1. Right to Equality
  2. Right to Freedom
  3. Right to Constitutional Remedies
  4. Right to Freedom of Religion

Answer: (C) Right to Constitutional Remedies

Dr. Ambedkar called Article 32 (Right to Constitutional Remedies) the 'Heart and Soul' of the Constitution.

Q17. Which vitamin is also known as Ascorbic Acid?
  1. Vitamin A
  2. Vitamin B12
  3. Vitamin C
  4. Vitamin D

Answer: (C) Vitamin C

Vitamin C is chemically named Ascorbic Acid. Its deficiency causes Scurvy.

Q18. Who among the following completed the construction of the Qutub Minar at Delhi?
  1. Qutb ud-Din Aibak
  2. Iltutmish
  3. Alauddin Khalji
  4. Balban

Answer: (B) Iltutmish

Qutb-ud-din Aibak started Qutub Minar, but it was completed by his successor Iltutmish.

Q19. Which gas is filled inside modern incandescent electric light bulbs to prolong filament life?
  1. Hydrogen
  2. Argon
  3. Oxygen
  4. Carbon Dioxide

Answer: (B) Argon

Inert gases like Argon (often mixed with Nitrogen) are used to prevent the tungsten filament from oxidizing.

Q20. The National Bank for Agriculture and Rural Development (NABARD) was established in which year?
  1. 1975
  2. 1982
  3. 1991
  4. 1969

Answer: (B) 1982

NABARD was set up on 12 July 1982 on the recommendations of the B. Sivaraman Committee.

Q21. Sattriya dance, recognized as a classical dance form of India, belongs to which state?
  1. Odisha
  2. Manipuri
  3. Assam
  4. Kerala

Answer: (C) Assam

Sattriya is an ancient dance-drama performance art originated by Srimanta Sankardev in Assam.

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

Answer: (C) Vice-President of India

Article 64 states that the Vice-President of India shall be ex-officio Chairman of the Council of States (Rajya Sabha).

Q23. What is the primary constituent of Natural Gas?
  1. Ethane
  2. Propane
  3. Methane
  4. Butane

Answer: (C) Methane

Methane (CH4) makes up around 70-90% of natural gas composition.

Q24. Which latitude passes almost halfway through India?
  1. Equator
  2. Tropic of Capricorn
  3. Tropic of Cancer
  4. Arctic Circle

Answer: (C) Tropic of Cancer

The Tropic of Cancer (23°30' N) passes through 8 Indian states, splitting the country into two climatic zones.

Q25. Who gave the famous slogan 'Give me blood, and I shall give you freedom!'?
  1. Bhagat Singh
  2. Subhash Chandra Bose
  3. Chandrashekhar Azad
  4. Mahatma Gandhi

Answer: (B) Subhash Chandra Bose

Netaji Subhash Chandra Bose delivered this historic speech to members of the Indian National Army in Burma in 1944.

Q26. Find the missing term in the given series: 4, 9, 20, 43, 90, ?
  1. 185
  2. 181
  3. 179
  4. 187

Answer: (A) 185

Pattern: ×2 + 1, ×2 + 2, ×2 + 3, ×2 + 4, ×2 + 5. Next term = 90 × 2 + 5 = 185.

Q27. In a certain code, 'TIGER' is written as 'VKIGT'. How is 'HORSE' written in that code?
  1. JQTUG
  2. JQSTG
  3. JRVTG
  4. JPQTG

Answer: (A) JQTUG

Each letter is shifted by +2 position: H(+2)=J, O(+2)=Q, R(+2)=T, S(+2)=U, E(+2)=G -> JQTUG.

Q28. Find the odd number-pair out:
  1. 11 - 121
  2. 15 - 225
  3. 13 - 169
  4. 17 - 279

Answer: (D) 17 - 279

11² = 121, 15² = 225, 13² = 169. However, 17² = 289, not 279.

Q29. A person travels 8 km South, turns West and travels 6 km, then turns North and walks 8 km. How far is he from his starting point?
  1. 10 km
  2. 6 km
  3. 8 km
  4. 14 km

Answer: (B) 6 km

South and North movements (8 km each) cancel out completely. The remaining distance from start is 6 km West.

Q30. Statements: All apples are fruits. All fruits are healthy. Conclusions: I. All apples are healthy. II. Some healthy items 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 a subset of Fruits, which are a subset of Healthy items. Thus, All apples are healthy and Some healthy items are apples.

Q31. Introducing 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

The only daughter of the woman's father is the woman herself. So, 'His mother is me' -> Woman is his Mother.

Q32. Select the missing letters: a _ b c a _ b _ a a b _
  1. a c c c
  2. a b c c
  3. a c b c
  4. b c a c

Answer: (A) a c c c

Pattern repeats 'a a b c': a [a] b c | a [c] b [c] -- wait, standard grouping: a a b c | a a b c | a a b c -> letters inserted are 'a c c c'.

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

Answer: (C) Electric Current

A thermometer measures temperature; an ammeter measures electric current.

Q34. If 15th August 2022 was a Monday, what day of the week was 15th August 2023?
  1. Tuesday
  2. Wednesday
  3. Monday
  4. Sunday

Answer: (A) Tuesday

2022 to 2023 is an ordinary year (365 days = 1 odd day). So Monday + 1 day = Tuesday.

Q35. If '+' means '÷', '×' means '-', '÷' means '+', and '-' means '×', then solve: 20 - 4 + 8 × 6 ÷ 3 = ?
  1. 7
  2. 10
  3. 12
  4. 5

Answer: (A) 7

Replacing symbols: 20 × 4 ÷ 8 - 6 + 3 = 20 × (1/2) - 6 + 3 = 10 - 6 + 3 = 7.

Q36. In a class of 45 students, Rohan is ranked 15th from the top. What is his rank from the bottom?
  1. 30th
  2. 31st
  3. 32nd
  4. 29th

Answer: (B) 31st

Rank from bottom = Total students - Rank from top + 1 = 45 - 15 + 1 = 31st.

Q37. Find the missing number in the series: 2, 6, 12, 20, 30, ?
  1. 40
  2. 42
  3. 44
  4. 38

Answer: (B) 42

Pattern: 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, next is 6×7 = 42.

Q38. Which Venn diagram best depicts the relationship among: Reptiles, Snakes, Lizards?
  1. Two separate circles inside one larger circle
  2. Three intersecting circles
  3. Three separate disjoint circles
  4. One circle inside another inside a third

Answer: (A) Two separate circles inside one larger circle

Snakes and Lizards are both separate categories within the larger set of Reptiles.

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

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

Ascending geographical 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 PIG coded?
  1. 32
  2. 30
  3. 28
  4. 34

Answer: (A) 32

P(16) + I(9) + G(7) = 32.

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

Answer: (A) 75°

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

Q43. Six people A, B, C, D, E, F sit in a line facing North. A and F are at the ends. B is to the immediate right of A. Who is sitting second to the left of F?
  1. E
  2. D
  3. C
  4. B

Answer: (A) E

Positions 1 to 6: Pos 1 = A, Pos 2 = B, Pos 6 = F. Second to left of F is Pos 4 (which is E, assuming alphabetical sequence C, D, E for middle slots).

Q44. Find the odd one out: 27, 64, 125, 144
  1. 27
  2. 64
  3. 125
  4. 144

Answer: (D) 144

27 (3³), 64 (4³), and 125 (5³) are perfect cubes. 144 is a square (12²), not a cube.

Q45. If A is B's sister, C is B's mother, D is C's father, how is A related to D?
  1. Granddaughter
  2. Daughter
  3. Grandmother
  4. Niece

Answer: (A) Granddaughter

A is child of mother C, whose father is D. Thus A is D's granddaughter.

Q46. Analogy: Chef : Restaurant :: Actor : ?
  1. Stage / Theater
  2. Script
  3. Movie
  4. Director

Answer: (A) Stage / Theater

A Chef performs work in a Restaurant; an Actor performs work on a Stage/Theater.

Q47. Missing term: B2D, D4F, F8H, H16J, ?
  1. J32L
  2. J32K
  3. I32L
  4. J24L

Answer: (A) J32L

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

Q48. A person walks 10 km towards East, turns 90° clockwise and walks 10 km, then turns 90° clockwise and walks 10 km. What direction is he facing?
  1. West
  2. North
  3. East
  4. South

Answer: (A) West

Started facing East. First 90° CW turn faces South. Second 90° CW turn faces West.

Q49. Statement: 'Plant more trees to reduce air pollution.' Assumptions: I. Trees help in reducing pollution. II. Air pollution is currently a problem.
  1. Only I is implicit
  2. Only II is implicit
  3. Both I and II are implicit
  4. Neither is implicit

Answer: (C) Both I and II are implicit

Recommending an action implies both the problem exists and the action serves as an effective remedy.

Q50. How many straight lines are needed to construct a standard pentagram (5-pointed star)?
  1. 5
  2. 10
  3. 15
  4. 8

Answer: (A) 5

A continuous 5-pointed star pentagram is drawn using exactly 5 straight lines.

Q51. Select the synonym of: **PRUDENT**
  1. Reckless
  2. Wise
  3. Careless
  4. Foolish

Answer: (B) Wise

'Prudent' means acting with care and thought for the future; 'Wise' is synonymous.

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

Answer: (B) Extravagant

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

Q53. Select the correctly spelt word:
  1. Millennium
  2. Millenium
  3. Milenium
  4. Millenniam

Answer: (A) Millennium

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

Q54. Identify error: *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' is followed by 'when' or 'before', not 'than'. It should be 'when the train left'.

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

Answer: (B) to

The adjective 'addicted' takes the preposition 'to'.

Q56. Passive Voice: *The chef prepared a delicious meal.*
  1. A delicious meal was prepared by the chef.
  2. A delicious meal is prepared by the chef.
  3. A delicious meal had been prepared by chef.
  4. A delicious meal was being prepared by chef.

Answer: (A) A delicious meal was prepared by the chef.

Simple past 'prepared' changes to 'was prepared' in passive voice.

Q57. Indirect Speech: *She said, 'I am going to the market.'*
  1. She said that she was going to the market.
  2. She said that she is going to the market.
  3. She told that she was going to market.
  4. She says she went to the market.

Answer: (A) She said that she was going to the market.

Present continuous 'am going' changes to past continuous 'was going'.

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

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 waste oil
  2. To work or study late into the night
  3. To start a fire
  4. To work inefficiently

Answer: (B) To work or study late into the night

'Burn the midnight oil' means to stay up late working or studying.

Q60. Select the correctly spelt word:
  1. Mischievous
  2. Mischievos
  3. Mischevous
  4. Mischivous

Answer: (A) Mischievous

The correct spelling is 'Mischievous'.

Q61. Select the synonym of: **METICULOUS**
  1. Careless
  2. Thorough
  3. Sloppy
  4. Hasty

Answer: (B) Thorough

'Meticulous' means showing great attention to detail; 'Thorough' or precise.

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

Answer: (B) Humble

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

Q63. Sentence Improvement: *He is superior than all his colleagues.*
  1. superior to
  2. superior from
  3. more superior than
  4. No improvement

Answer: (A) superior to

'Superior' takes the preposition 'to' rather than 'than'.

Q64. Fill in the blank: *The meeting was put ___ due to heavy rain.*
  1. off
  2. out
  3. down
  4. away

Answer: (A) off

'Put off' means to postpone.

Q65. One word substitution: *A government by the officials*
  1. Democracy
  2. Bureaucracy
  3. Autocracy
  4. Oligarchy

Answer: (B) Bureaucracy

'Bureaucracy' is a system of government in which state officials make decisions.

Q66. Idiom meaning: **Bite the bullet**
  1. To act bravely in a tough situation
  2. To taste metal
  3. To avoid responsibilities
  4. To pick a fight

Answer: (A) To act bravely in a tough situation

'Bite the bullet' means to face a difficult situation with courage and force yourself to get through it.

Q67. Identify error part: *Neither of the two candidates are eligible for the job.*
  1. Neither of
  2. the two candidates
  3. are eligible
  4. for the job

Answer: (C) are eligible

'Neither' refers to 'not one or the other' and takes a singular verb ('is eligible').

Q68. Fill in the blank: *Neither John nor his friends ___ attending the party tonight.*
  1. is
  2. are
  3. was
  4. has

Answer: (B) are

In 'neither... nor' constructions, the verb agrees with the closer subject ('his friends' -> plural 'are').

Q69. Rearrange parts: P: is essential Q: Education R: human growth S: for overall
  1. Q-P-S-R
  2. P-Q-R-S
  3. Q-S-R-P
  4. R-S-P-Q

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

Correct order: Q ('Education') P ('is essential') S ('for overall') R ('human growth').

Q70. Select the synonym of: **LUCID**
  1. Confusing
  2. Clear
  3. Vague
  4. Dark

Answer: (B) Clear

'Lucid' means expressed clearly or easy to understand.

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

Answer: (B) Definite

'Vague' means uncertain or unclear; 'Definite' is its direct antonym.

Q72. Select the correctly spelt word:
  1. Bureaucracy
  2. Beuraucracy
  3. Bureaucrasy
  4. Bureucracy

Answer: (A) Bureaucracy

The correct spelling is 'Bureaucracy'.

Q73. Fill in the blank: *She is good ___ mathematics.*
  1. in
  2. at
  3. with
  4. on

Answer: (B) at

We use 'good at' when expressing proficiency in a subject or skill.

Q74. Identify error part: *Supposing if it rains, what shall we do?*
  1. Supposing if
  2. it rains
  3. what shall we do
  4. No error

Answer: (A) Supposing if

'Supposing' and 'if' are redundant when used together. Use either 'Supposing' or 'If'.

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

Answer: (A) Very rarely

'Once in a blue moon' refers to something that happens very rarely.

Q76. If the price of sugar increases by 20%, by what percentage should consumption be reduced so that expenditure remains unchanged?
  1. 20%
  2. 16.67%
  3. 15%
  4. 25%

Answer: (B) 16.67%

Reduction % = [20 / (100 + 20)] × 100 = (20 / 120) × 100 = 16.67%.

Q77. By selling an article for ₹450, a man loses 10%. To gain 20%, what should be the selling price?
  1. ₹500
  2. ₹600
  3. ₹540
  4. ₹580

Answer: (B) ₹600

Cost Price = 450 / 0.90 = ₹500. Selling price for 20% gain = 500 × 1.20 = ₹600.

Q78. The average mark of 40 students is 50. If one student's mark of 45 was incorrectly recorded as 85, find the correct average.
  1. 48
  2. 49
  3. 47.5
  4. 48.5

Answer: (B) 49

Error = 85 - 45 = +40. Reduction in average = 40 / 40 = 1. Correct average = 50 - 1 = 49.

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

Answer: (A) 72 km/h

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

Q80. Divide ₹1500 between A and B in the ratio 3 : 2. What is A's share?
  1. ₹600
  2. ₹900
  3. ₹800
  4. ₹750

Answer: (B) ₹900

A's share = (3 / 5) × 1500 = ₹900.

Q81. Find the compound interest on ₹5000 at 8% per annum for 2 years, compounded annually.
  1. ₹800
  2. ₹832
  3. ₹840
  4. ₹816

Answer: (B) ₹832

Amount = 5000 × (1.08)² = 5000 × 1.1664 = ₹5832. CI = 5832 - 5000 = ₹832.

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

Answer: (B) 8 days

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

Q83. Find the LCM of 12, 18, and 24.
  1. 36
  2. 72
  3. 108
  4. 48

Answer: (B) 72

Prime factorizations: 12=2²×3, 18=2×3², 24=2³×3. LCM = 2³ × 3² = 72.

Q84. If x + 1/x = 4, find the value of x² + 1/x².
  1. 16
  2. 14
  3. 18
  4. 12

Answer: (B) 14

x² + 1/x² = (x + 1/x)² - 2 = 4² - 2 = 16 - 2 = 14.

Q85. The area of a circle is 154 cm². Find its radius (Take π = 22/7).
  1. 14 cm
  2. 7 cm
  3. 10.5 cm
  4. 21 cm

Answer: (B) 7 cm

πr² = 154 => (22/7)r² = 154 => r² = 49 => r = 7 cm.

Q86. In how many years will a sum of ₹2000 double itself at 10% per annum simple interest?
  1. 5 years
  2. 10 years
  3. 8 years
  4. 12 years

Answer: (B) 10 years

To double, SI = Principal = 2000. Time = (100 × SI) / (P × R) = (100 × 2000) / (2000 × 10) = 10 years.

Q87. If a + b + c = 9 and ab + bc + ca = 26, find the value of a² + b² + c².
  1. 29
  2. 81
  3. 53
  4. 35

Answer: (A) 29

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) => 9² = a² + b² + c² + 2(26) => 81 - 52 = 29.

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

Answer: (A) 616 cm²

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

Q89. If sin θ = 3/5, find the value of cos θ.
  1. 4/5
  2. 3/4
  3. 5/4
  4. 1/5

Answer: (A) 4/5

cos θ = √(1 - sin²θ) = √(1 - 9/25) = √(16/25) = 4/5.

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

Answer: (B) 28%

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

Q91. Simplify: sin² 30° + cos² 30° + tan 45°
  1. 1
  2. 2
  3. 0
  4. 3

Answer: (B) 2

sin² 30° + cos² 30° = 1. tan 45° = 1. Total sum = 1 + 1 = 2.

Q92. 12 workers can build a wall in 15 days. How many workers will be required to complete it in 10 days?
  1. 15
  2. 18
  3. 20
  4. 16

Answer: (B) 18

M1 × D1 = M2 × D2 => 12 × 15 = M2 × 10 => M2 = 180 / 10 = 18 workers.

Q93. The three interior angles of a triangle are in the ratio 2 : 3 : 4. Find the largest angle.
  1. 60°
  2. 80°
  3. 100°
  4. 40°

Answer: (B) 80°

Ratio sum = 2 + 3 + 4 = 9. Largest angle = (4/9) × 180° = 80°.

Q94. The average of 6 consecutive even numbers is 25. Find the smallest of these numbers.
  1. 20
  2. 22
  3. 18
  4. 24

Answer: (A) 20

Numbers are: 20, 22, 24, 26, 28, 30 (Average = (24+26)/2 = 25). Smallest = 20.

Q95. From the top of a 50 m high tower, the angle of depression of a car on the ground is 30°. How far is the car from the base of the tower?
  1. 50√3 m
  2. 50/√3 m
  3. 100 m
  4. 25√3 m

Answer: (A) 50√3 m

tan(30°) = Height / Distance => 1/√3 = 50 / Distance => Distance = 50√3 m.

Q96. The inradius of an equilateral triangle with side length 12 cm is:
  1. 2√3 cm
  2. 4√3 cm
  3. 3√3 cm
  4. 6 cm

Answer: (A) 2√3 cm

Inradius r = a / (2√3) = 12 / (2√3) = 6 / √3 = 2√3 cm.

Q97. The difference between Simple Interest and Compound Interest on a sum of money for 2 years at 10% per annum is ₹25. Find the principal.
  1. ₹2000
  2. ₹2500
  3. ₹3000
  4. ₹1500

Answer: (B) ₹2500

Difference = P × (R/100)² => 25 = P × (10/100)² => 25 = P × 1/100 => P = ₹2500.

Q98. In a 60-liter mixture of alcohol and water, alcohol content is 40%. How much water must be added to make alcohol content 30%?
  1. 15 liters
  2. 20 liters
  3. 10 liters
  4. 25 liters

Answer: (B) 20 liters

Alcohol = 0.40 × 60 = 24 L. Let x L water be added: 24 / (60 + x) = 3/10 => 240 = 180 + 3x => 3x = 60 => x = 20 liters.

Q99. Find the measure of each interior angle of a regular hexagon.
  1. 120°
  2. 108°
  3. 135°
  4. 140°

Answer: (A) 120°

Each interior angle = [(n - 2) × 180°] / n = [(6 - 2) × 180°] / 6 = 720° / 6 = 120°.

Q100. A boat goes 24 km upstream in 4 hours and 36 km downstream in 3 hours. What is the speed of the boat in still water?
  1. 9 km/h
  2. 6 km/h
  3. 12 km/h
  4. 3 km/h

Answer: (A) 9 km/h

Upstream speed U = 24/4 = 6 km/h. Downstream speed D = 36/3 = 12 km/h. Speed in still water = (D + U)/2 = (12 + 6)/2 = 9 km/h.