Start streak

SSC CGL Tier 1 & Tier 2 Mixed Mock Test: Practice Test 14

Question paper with answer key. Selection Pro

Q1. Which of the following Comptroller and Auditor General (CAG) articles in the Indian Constitution details the duties and powers of CAG?
  1. Article 148
  2. Article 149
  3. Article 150
  4. Article 151

Answer: (B) Article 149

Article 149 prescribes the duties and powers of the Comptroller and Auditor-General of India.

Q2. During whose reign was the Third Buddhist Council organized at Pataliputra?
  1. Kanishka
  2. Ajatashatru
  3. Ashoka
  4. Kalashoka

Answer: (C) Ashoka

The Third Buddhist Council was held at Pataliputra under the patronage of Emperor Ashoka around 250 BCE.

Q3. What is the unit of measure for electrical conductance?
  1. Siemens
  2. Ohm
  3. Tesla
  4. Farad

Answer: (A) Siemens

Siemens (S) is the SI unit of electrical conductance, which is the reciprocal of electrical resistance (Ohm).

Q4. Which river forms the famous Gersoppa (Jog) Falls in Karnataka?
  1. Kaveri
  2. Sharavati
  3. Krishna
  4. Tungabhadra

Answer: (B) Sharavati

Jog Falls is created by the Sharavati River dropping down a steep cliff in Shimoga district, Karnataka.

Q5. In the human digestive system, which organ secretes Bile Juice?
  1. Gallbladder
  2. Pancreas
  3. Liver
  4. Stomach

Answer: (C) Liver

Bile juice is produced and secreted by the Liver, though it is stored in the Gallbladder.

Q6. Who was the founder of the Servants of India Society in 1905?
  1. Gopal Krishna Gokhale
  2. Bal Gangadhar Tilak
  3. Lala Lajpat Rai
  4. Bipin Chandra Pal

Answer: (A) Gopal Krishna Gokhale

Gopal Krishna Gokhale formed the Servants of India Society in Pune in 1905 to unite and train Indians for social service.

Q7. Which chemical compound is commonly known as 'Plaster of Paris'?
  1. Calcium Sulfate Dihydrate
  2. Calcium Carbonate
  3. Calcium Sulfate Hemihydrate
  4. Calcium Hydroxide

Answer: (C) Calcium Sulfate Hemihydrate

Plaster of Paris is chemically known as Calcium Sulfate Hemihydrate (CaSO4·1/2H2O).

Q8. Which committee recommended the inclusion of Fundamental Duties in the Indian Constitution?
  1. Verma Committee
  2. Sarkaria Commission
  3. Swaran Singh Committee
  4. Balwant Rai Mehta Committee

Answer: (C) Swaran Singh Committee

The Swaran Singh Committee recommended incorporating Fundamental Duties, which was executed by the 42nd Amendment Act in 1976.

Q9. What is the value of Acceleration due to gravity (g) at the center of the Earth?
  1. 9.8 m/s²
  2. 0 m/s²
  3. Infinite
  4. 4.9 m/s²

Answer: (B) 0 m/s²

At the exact center of the Earth, the gravitational force from surrounding mass cancels out, resulting in g = 0 m/s².

Q10. The 'Dachigam National Park', famous for the Hangul (Kashmir Stag), is located in which state/UT?
  1. Himachal Pradesh
  2. Uttarakhand
  3. Jammu & Kashmir
  4. Ladakh

Answer: (C) Jammu & Kashmir

Dachigam National Park is located in Srinagar district, Jammu & Kashmir.

Q11. Which Gupta ruler assumed the famous title of 'Vikramaditya'?
  1. Chandragupta I
  2. Samudragupta
  3. Chandragupta II
  4. Kumaragupta I

Answer: (C) Chandragupta II

Chandragupta II assumed the title of Vikramaditya after defeating the Shaka rulers of Western India.

Q12. Which layer of the atmosphere contains the maximum concentration of Ozone?
  1. Troposphere
  2. Stratosphere
  3. Mesosphere
  4. Thermosphere

Answer: (B) Stratosphere

The Ozone layer resides in the Stratosphere, approximately 15 to 35 km above Earth's surface.

Q13. Giffen goods are goods for which demand increases when:
  1. Price decreases
  2. Price increases
  3. Income increases
  4. Income decreases

Answer: (B) Price increases

Giffen goods violate the basic law of demand; as their price increases, demand increases because of strong negative income effect.

Q14. Which instrument is used to measure humidity in the atmosphere?
  1. Hydrometer
  2. Barometer
  3. Hygrometer
  4. Anemometer

Answer: (C) Hygrometer

A Hygrometer measures atmospheric humidity, whereas a Hydrometer measures liquid specific gravity.

Q15. Who among the following was the founder of the Asiatic Society of Bengal in 1784?
  1. Sir William Jones
  2. Warren Hastings
  3. Max Muller
  4. Charles Wilkins

Answer: (A) Sir William Jones

Sir William Jones founded the Asiatic Society of Bengal in Kolkata in 1784.

Q16. The 73rd Constitutional Amendment Act 1992 added which part to the Indian Constitution?
  1. Part IX
  2. Part IX-A
  3. Part IX-B
  4. Part X

Answer: (A) Part IX

The 73rd Amendment added Part IX titled 'The Panchayats' and the 11th Schedule.

Q17. Deficiency of Vitamin B1 (Thiamine) leads to which disease?
  1. Scurvy
  2. Rickets
  3. Beriberi
  4. Pellagra

Answer: (C) Beriberi

Deficiency of Vitamin B1 leads to Beriberi, affecting the nervous and cardiovascular systems.

Q18. Who was the ruler of Delhi during the First Battle of Panipat in 1526?
  1. Sikandar Lodi
  2. Ibrahim Lodi
  3. Bahlul Lodi
  4. Rana Sanga

Answer: (B) Ibrahim Lodi

Ibrahim Lodi fought Babur in the First Battle of Panipat (1526) where Lodi was defeated.

Q19. Which element has the highest electronegativity on the Pauling scale?
  1. Chlorine
  2. Oxygen
  3. Fluorine
  4. Nitrogen

Answer: (C) Fluorine

Fluorine is the most electronegative chemical element with a value of 3.98 on the Pauling scale.

Q20. Where is the head office of the Small Industries Development Bank of India (SIDBI) situated?
  1. Mumbai
  2. New Delhi
  3. Lucknow
  4. Kolkata

Answer: (C) Lucknow

SIDBI's headquarters is located in Lucknow, Uttar Pradesh.

Q21. Which classical dance form utilizes 'Mudras' heavily and originated in Andhra Pradesh?
  1. Kathakali
  2. Kuchipudi
  3. Bharatnatyam
  4. Odissi

Answer: (B) Kuchipudi

Kuchipudi originated in the Kuchelapuram village of Krishna district, Andhra Pradesh.

Q22. Under which Constitutional Article is the Financial Emergency mentioned?
  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 financial stability is threatened.

Q23. Which alloy consists primarily of Copper and Zinc?
  1. Bronze
  2. Brass
  3. Solder
  4. German Silver

Answer: (B) Brass

Brass is an alloy composed of Copper and Zinc. Bronze is composed of Copper and Tin.

Q24. Which strait connects the Arctic Ocean with the Pacific Ocean?
  1. Strait of Malacca
  2. Bering Strait
  3. Strait of Gibraltar
  4. Palk Strait

Answer: (B) Bering Strait

The Bering Strait connects the Chukchi Sea (Arctic Ocean) with the Bering Sea (Pacific Ocean).

Q25. Who among the following presided over the Kakori Train Action (1925) organization, Hindustan Republican Association (HRA)?
  1. Chandrashekhar Azad
  2. Ram Prasad Bismil
  3. Bhagat Singh
  4. Subhash Chandra Bose

Answer: (B) Ram Prasad Bismil

Ram Prasad Bismil, along with Ashfaqulla Khan and Sachindra Nath Sanyal, was a key leader of HRA behind the Kakori Train robbery.

Q26. Find the missing term in the given series: 6, 13, 28, 59, 122, ?
  1. 249
  2. 247
  3. 245
  4. 251

Answer: (A) 249

Pattern: ×2 + 1, ×2 + 2, ×2 + 3, ×2 + 4, ×2 + 5. Next term = 122 × 2 + 5 = 249.

Q27. In a certain code, 'ORANGE' is written as 'PUBOHF'. How is 'GRAPES' written in that code?
  1. HSBIFT
  2. HQBFJT
  3. HSBQFT
  4. HSBFJT

Answer: (C) HSBQFT

Each letter is incremented by +1: G+1=H, R+1=S, A+1=B, P+1=Q, E+1=F, S+1=T. Thus, GRAPES becomes HSBQFT.

Q28. Find the odd number-pair out:
  1. 14 - 196
  2. 12 - 144
  3. 16 - 256
  4. 18 - 322

Answer: (D) 18 - 322

14² = 196, 12² = 144, 16² = 256. But 18² = 324 (not 322).

Q29. A person walks 12 m North, turns Right and walks 5 m, then turns Right and walks 12 m. How far is he from his initial point?
  1. 12 m
  2. 5 m
  3. 13 m
  4. 17 m

Answer: (B) 5 m

North and South movements (12m and 12m) cancel out. Net displacement is 5 m East.

Q30. Statements: All pens are pencils. All pencils are erasers. Conclusions: I. All pens are erasers. II. Some erasers are pens.
  1. Only I follows
  2. Only II follows
  3. Both I and II follow
  4. Neither follows

Answer: (C) Both I and II follow

Pens are subset of Pencils, which are subset of Erasers. Therefore, All pens are erasers and Some erasers are pens.

Q31. Pointing to a photograph, Rohit said, 'She is the daughter of my grandfather's only son.' How is the girl related to Rohit?
  1. Sister
  2. Cousin
  3. Aunt
  4. Mother

Answer: (A) Sister

Rohit's grandfather's only son = Rohit's father. Daughter of Rohit's father = Rohit's sister.

Q32. Select the missing letters: m _ o m n _ m _ o _ n o
  1. n o n m
  2. n o m m
  3. n m o m
  4. o n m n

Answer: (A) n o n m

Pattern repeats 'm n o': m [n] o | m n [o] | m [n] o | [m] n o.

Q33. Analogy: Seismograph : Earthquake :: Barometer : ?
  1. Temperature
  2. Pressure
  3. Rainfall
  4. Current

Answer: (B) Pressure

A seismograph measures earthquakes; a barometer measures atmospheric pressure.

Q34. If 1st January 2020 was a Wednesday, what day of the week was 1st January 2021?
  1. Thursday
  2. Friday
  3. Saturday
  4. Sunday

Answer: (B) Friday

2020 is a leap year (366 days = 2 odd days). So 1st Jan 2021 = Wednesday + 2 days = Friday.

Q35. If 'P' denotes '÷', 'Q' denotes '×', 'R' denotes '+' and 'S' denotes '-', then value of: 18 Q 12 P 4 R 5 S 6 = ?
  1. 53
  2. 59
  3. 52
  4. 65

Answer: (A) 53

18 × 12 ÷ 4 + 5 - 6 = 18 × 3 + 5 - 6 = 54 + 5 - 6 = 53.

Q36. In a row of boys, Suresh is 7th from the left and Rohit is 12th from the right. If they interchange their positions, Suresh becomes 22nd from the left. How many total boys are there?
  1. 31
  2. 33
  3. 34
  4. 32

Answer: (B) 33

Total = New left rank of Suresh + Old right rank of Rohit - 1 = 22 + 12 - 1 = 33.

Q37. Find the missing term: 3, 5, 9, 17, 33, ?
  1. 65
  2. 60
  3. 67
  4. 52

Answer: (A) 65

Pattern: ×2 - 1. 33 × 2 - 1 = 65.

Q38. Which diagram correctly represents: Mammals, Cows, Crows?
  1. One circle inside another, with a third circle completely outside both
  2. Three overlapping circles
  3. Three disjoint circles
  4. Two concentric circles intersecting a third

Answer: (A) One circle inside another, with a third circle completely outside both

Cows are entirely inside Mammals. Crows are Birds (completely outside both).

Q39. Arrange in logical sequence: 1. Seed 2. Plant 3. Sprout 4. Fruit 5. Flower
  1. 1, 3, 2, 5, 4
  2. 1, 2, 3, 4, 5
  3. 3, 1, 2, 5, 4
  4. 1, 3, 5, 2, 4

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

Sequence: Seed (1) -> Sprout (3) -> Plant (2) -> Flower (5) -> Fruit (4).

Q40. If RED is coded as 27 and GREEN is coded as 49, how is BLUE coded?
  1. 36
  2. 40
  3. 42
  4. 38

Answer: (B) 40

B(2) + L(12) + U(21) + E(5) = 40.

Q41. Analogy: 11 : 132 :: 13 : ?
  1. 182
  2. 169
  3. 156
  4. 195

Answer: (A) 182

Pattern: n : n(n + 1). 11 × 12 = 132; 13 × 14 = 182.

Q42. Find the angle between hour hand and minute hand at 4:20 PM.
  1. 0°
  2. 10°
  3. 20°
  4. 15°

Answer: (B) 10°

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

Q43. Eight friends A, B, C, D, E, F, G, H are sitting in a circle facing center. A is opposite D, B is second to left of D. Who is sitting opposite B?
  1. G
  2. E
  3. H
  4. F

Answer: (A) G

Since D is at position 0, A is at 180° (position 4). B is 2nd to left of D = position 2. Opposite position 2 is position 6 (G in relative slot).

Q44. Find the odd one out: 64, 125, 216, 342
  1. 64
  2. 125
  3. 216
  4. 342

Answer: (D) 342

64 (4³), 125 (5³), 216 (6³) are perfect cubes. 342 is not a perfect cube (7³ - 1).

Q45. If X is the brother of Y's son's son, how is X related to Y?
  1. Son
  2. Grandson
  3. Grandfather
  4. Nephew

Answer: (B) Grandson

Y's son's son is Y's grandson. Brother of Y's grandson is also Y's grandson.

Q46. Complete the analogy: Court : Justice :: Hospital : ?
  1. Doctor
  2. Treatment
  3. Patient
  4. Medicine

Answer: (B) Treatment

Court provides Justice; Hospital provides Treatment.

Q47. Missing term: A1Z, C4X, E9V, G16T, ?
  1. I25R
  2. I25S
  3. H25R
  4. I20R

Answer: (A) I25R

First letter +2 (A, C, E, G, I). Middle number is 1², 2², 3², 4², 5² = 25. Last letter -2 (Z, X, V, T, R).

Q48. A man faces West. He turns 45° clockwise, then 180° clockwise, then 270° anti-clockwise. Which direction is he facing now?
  1. South-West
  2. North-West
  3. South-East
  4. North-East

Answer: (A) South-West

Initial = West (270°). CW = +45 + 180 = +225°. ACW = -270°. Net = -45° from West = South-West.

Q49. Statement: 'Use local bus services to save fuel.' Assumptions: I. People want to save fuel. II. Local buses use less fuel per passenger.
  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

An advisory assumes both desire for goal (save fuel) and effectiveness of recommended action (bus efficiency).

Q50. Count the total triangles in a 3x3 grid subdivided square (Standard 8-subtriangle block / square with diagonals). How many triangles in a square with both diagonals drawn?
  1. 4
  2. 6
  3. 8
  4. 10

Answer: (C) 8

A simple square with two diagonals forms 4 small triangles + 4 large combined triangles = 8 triangles.

Q51. Select the synonym of: **CANDID**
  1. Deceitful
  2. Frank
  3. Secretive
  4. Shy

Answer: (B) Frank

'Candid' means truthful and straightforward; 'Frank' is synonymous.

Q52. Select the antonym of: **OBSOLETE**
  1. Outdated
  2. Modern
  3. Ancient
  4. Archaic

Answer: (B) Modern

'Obsolete' means no longer produced or used; 'Modern' is its antonym.

Q53. Select the correctly spelt word:
  1. Accommodation
  2. Acommodation
  3. Accomodation
  4. Acomodation

Answer: (A) Accommodation

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

Q54. Identify error: *No sooner did the thief see the police when he ran away.*
  1. No sooner did
  2. the thief see
  3. when he ran away
  4. No error

Answer: (C) when he ran away

'No sooner' is always paired with 'than', not 'when'. It should be 'than he ran away'.

Q55. Fill in the blank: *She absorbed herself ___ reading the historical novel.*
  1. in
  2. at
  3. with
  4. on

Answer: (A) in

'Absorbed' is followed by the preposition 'in'.

Q56. Passive Voice: *Who wrote this famous book?*
  1. By whom was this famous book written?
  2. Who was written this famous book?
  3. By whom this famous book was written?
  4. By whom is this famous book written?

Answer: (A) By whom was this famous book written?

Interrogative 'Who' changes to 'By whom + auxiliary + subject + past participle'.

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

Answer: (A) He said that he had completed his homework.

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

Q58. One word substitution: *A sound that cannot be heard*
  1. Audible
  2. Inaudible
  3. Infallible
  4. Invisible

Answer: (B) Inaudible

'Inaudible' means impossible to hear.

Q59. Idiom meaning: **To turn a deaf ear**
  1. To listen attentively
  2. To ignore or refuse to listen
  3. To be hard of hearing
  4. To make a noise

Answer: (B) To ignore or refuse to listen

'To turn a deaf ear' means to deliberately refuse to listen or take notice.

Q60. Select the correctly spelt word:
  1. Guarantee
  2. Garantee
  3. Garanty
  4. Guaranty

Answer: (A) Guarantee

The standard correct spelling is 'Guarantee'.

Q61. Select the synonym of: **AMICABLE**
  1. Hostile
  2. Friendly
  3. Haughty
  4. Antagonistic

Answer: (B) Friendly

'Amicable' means characterized by friendliness and goodwill.

Q62. Select the antonym of: **DILIGENT**
  1. Industrious
  2. Lazy
  3. Hardworking
  4. Active

Answer: (B) Lazy

'Diligent' means showing care and effort; 'Lazy' is the direct antonym.

Q63. Sentence Improvement: *She 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

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

Q64. Fill in the blank: *The police are looking ___ the mysterious disappearance.*
  1. after
  2. into
  3. at
  4. for

Answer: (B) into

'Look into' means to investigate.

Q65. One word substitution: *A life history written by oneself*
  1. Biography
  2. Autobiography
  3. Memoir
  4. Calligraphy

Answer: (B) Autobiography

'Autobiography' is an account of a person's life written by that person.

Q66. Idiom meaning: **Spill the beans**
  1. To drop food
  2. To reveal a secret
  3. To waste money
  4. To cook poorly

Answer: (B) To reveal a secret

'Spill the beans' means to reveal secret information unintentionally or prematurely.

Q67. Identify error part: *Each of the boys have performed well in the exam.*
  1. Each of
  2. the boys have
  3. performed well
  4. in the exam

Answer: (B) the boys have

'Each of' is followed by a plural noun but takes a singular verb ('has performed').

Q68. Fill in the blank: *The news of his sudden death ___ shocking to everyone.*
  1. were
  2. was
  3. are
  4. have been

Answer: (B) was

'News' is an uncountable singular noun and takes a singular verb ('was').

Q69. Rearrange parts: P: health is Q: wealth R: real S: Good
  1. S-P-R-Q
  2. P-Q-R-S
  3. S-R-P-Q
  4. Q-R-S-P

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

Correct order: S ('Good') P ('health is') R ('real') Q ('wealth').

Q70. Select the synonym of: **BENEVOLENT**
  1. Malevolent
  2. Kind
  3. Greedy
  4. Cruel

Answer: (B) Kind

'Benevolent' means well-meaning and kindly.

Q71. Select the antonym of: **TRANSIENT**
  1. Temporary
  2. Permanent
  3. Fleeting
  4. Momentary

Answer: (B) Permanent

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

Q72. Select the correctly spelt word:
  1. Occurrence
  2. Occurence
  3. Ocurrence
  4. Occurrance

Answer: (A) Occurrence

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

Q73. Fill in the blank: *He is proficient ___ English and French.*
  1. in
  2. at
  3. with
  4. on

Answer: (A) in

The adjective 'proficient' is followed by the preposition 'in'.

Q74. Identify error part: *I prefer coffee than tea in the morning.*
  1. I prefer
  2. coffee than tea
  3. in the morning
  4. No error

Answer: (B) coffee than tea

'Prefer' takes preposition 'to' instead of 'than'. It should be 'coffee to tea'.

Q75. Idiom meaning: **At the eleventh hour**
  1. At 11 o'clock exact
  2. At the last possible moment
  3. Early in the morning
  4. When it is too late

Answer: (B) At the last possible moment

'At the eleventh hour' means happening at the last possible moment before it is too late.

Q76. If the price of petrol increases by 25%, by what percentage must a driver reduce petrol consumption to keep expenditure constant?
  1. 25%
  2. 20%
  3. 15%
  4. 30%

Answer: (B) 20%

Reduction = [25 / (100 + 25)] × 100 = (25 / 125) × 100 = 20%.

Q77. By selling an article for ₹720, a shopkeeper incurs a loss of 10%. At what price should he sell it to gain 20%?
  1. ₹860
  2. ₹960
  3. ₹900
  4. ₹920

Answer: (B) ₹960

CP = 720 / 0.90 = ₹800. Required SP for 20% profit = 800 × 1.20 = ₹960.

Q78. The average score of 50 students in an exam is 64. Later it was found that a score of 36 was misread as 86. What is the correct average?
  1. 63
  2. 65
  3. 62
  4. 63.5

Answer: (A) 63

Error = 86 - 36 = +50. Correct sum = Old Sum - 50. Decrease in average = 50 / 50 = 1. Correct average = 64 - 1 = 63.

Q79. A train 300 meters long is running at a speed of 54 km/h. How much time will it take to cross a standing pole?
  1. 15 seconds
  2. 20 seconds
  3. 25 seconds
  4. 18 seconds

Answer: (B) 20 seconds

Speed = 54 × (5/18) = 15 m/s. Time = Distance / Speed = 300 / 15 = 20 seconds.

Q80. Divide ₹1200 among A, B, and C in the ratio 2 : 3 : 5. What is the share of B?
  1. ₹240
  2. ₹360
  3. ₹600
  4. ₹300

Answer: (B) ₹360

Sum of ratio parts = 2 + 3 + 5 = 10. B's share = (3/10) × 1200 = ₹360.

Q81. Calculate the compound interest on ₹10,000 at 10% per annum for 2 years, compounded annually.
  1. ₹2000
  2. ₹2100
  3. ₹2200
  4. ₹1210

Answer: (B) ₹2100

Amount = 10000 × (1.10)² = 10000 × 1.21 = ₹12,100. CI = 12100 - 10000 = ₹2100.

Q82. Pipe A can fill a tank in 10 hours and Pipe B can empty it in 15 hours. If both pipes are opened together, in how many hours will the tank be full?
  1. 25 hours
  2. 30 hours
  3. 20 hours
  4. 12 hours

Answer: (B) 30 hours

Net filling rate per hour = (1/10) - (1/15) = (3 - 2)/30 = 1/30. Time required = 30 hours.

Q83. Find the HCF of 42, 63, and 105.
  1. 7
  2. 14
  3. 21
  4. 3

Answer: (C) 21

42 = 21 × 2, 63 = 21 × 3, 105 = 21 × 5. Greatest common factor is 21.

Q84. If x - 1/x = 5, find the value of x² + 1/x².
  1. 23
  2. 27
  3. 25
  4. 29

Answer: (B) 27

x² + 1/x² = (x - 1/x)² + 2 = 5² + 2 = 25 + 2 = 27.

Q85. The perimeter of a rectangle is 40 cm and its length is 12 cm. Find its area.
  1. 96 cm²
  2. 80 cm²
  3. 48 cm²
  4. 120 cm²

Answer: (A) 96 cm²

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

Q86. At what rate percent simple interest per annum will ₹4000 yield ₹1200 as interest in 3 years?
  1. 8%
  2. 10%
  3. 12%
  4. 15%

Answer: (B) 10%

R = (SI × 100) / (P × T) = (1200 × 100) / (4000 × 3) = 120000 / 12000 = 10%.

Q87. If a + b = 10 and ab = 21, find the value of a³ + b³.
  1. 370
  2. 430
  3. 520
  4. 310

Answer: (A) 370

a³ + b³ = (a + b)³ - 3ab(a + b) = 10³ - 3(21)(10) = 1000 - 630 = 370.

Q88. The height of a right circular cone is 12 cm and its base radius is 5 cm. Find its curved surface area (π = 3.14).
  1. 204.1 cm²
  2. 188.4 cm²
  3. 157.0 cm²
  4. 220.0 cm²

Answer: (A) 204.1 cm²

Slant height l = √(12² + 5²) = 13 cm. CSA = πrl = 3.14 × 5 × 13 = 204.1 cm².

Q89. If tan θ = 4/3, find the value of sin θ + cos θ.
  1. 7/5
  2. 5/7
  3. 1/5
  4. 6/5

Answer: (A) 7/5

In right triangle: perpendicular = 4, base = 3, hypotenuse = 5. sin θ = 4/5, cos θ = 3/5. Sum = 7/5.

Q90. A worker's salary was reduced by 20% and later increased by 20%. What is the net percentage change in his salary?
  1. 0%
  2. 4% decrease
  3. 4% increase
  4. 2% decrease

Answer: (B) 4% decrease

Net change = -20 + 20 - (20 × 20)/100 = -4% (4% decrease).

Q91. Find the value of cos(0°) + sin(90°) + tan(0°).
  1. 0
  2. 1
  3. 2
  4. 3

Answer: (C) 2

cos(0°) = 1, sin(90°) = 1, tan(0°) = 0. Sum = 1 + 1 + 0 = 2.

Q92. If 15 men can complete a project in 20 days, how many days will 10 men take to complete the same project?
  1. 25 days
  2. 30 days
  3. 35 days
  4. 40 days

Answer: (B) 30 days

M1 × D1 = M2 × D2 => 15 × 20 = 10 × D2 => D2 = 300 / 10 = 30 days.

Q93. In a triangle, the sides are in the ratio 3 : 4 : 5 and its perimeter is 36 cm. What is the length of the longest side?
  1. 12 cm
  2. 15 cm
  3. 18 cm
  4. 9 cm

Answer: (B) 15 cm

Ratio sum = 3 + 4 + 5 = 12. Longest side = (5/12) × 36 = 15 cm.

Q94. The average of 5 consecutive odd numbers is 27. What is the largest of these numbers?
  1. 29
  2. 31
  3. 33
  4. 35

Answer: (B) 31

For consecutive odd numbers, average is middle number. Numbers are: 23, 25, 27, 29, 31. Largest = 31.

Q95. The shadow of a vertical pole standing on ground becomes 10 m longer when sun's altitude changes from 60° to 45°. Find height of the pole.
  1. 5(3 + √3) m
  2. 10(√3 + 1) m
  3. 5(√3 - 1) m
  4. 10(√3 - 1) m

Answer: (A) 5(3 + √3) m

Let height = h. Shadow length diff = h(cot 45° - cot 60°) = 10 => h(1 - 1/√3) = 10 => h((√3 - 1)/√3) = 10 => h = 10√3 / (√3 - 1) = 5√3(√3 + 1) = 5(3 + √3) m.

Q96. The circumradius of an equilateral triangle of side 6√3 cm is:
  1. 3 cm
  2. 6 cm
  3. 9 cm
  4. 12 cm

Answer: (B) 6 cm

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

Q97. A sum of ₹10000 yields ₹3310 as compound interest in 3 years compounded annually. What is the rate of interest per annum?
  1. 10%
  2. 5%
  3. 12%
  4. 15%

Answer: (A) 10%

Amount = 10000 + 3310 = ₹13310. (1 + R/100)³ = 13310 / 10000 = 1331/1000 = (11/10)³. So, 1 + R/100 = 11/10 => R = 10%.

Q98. In a mixture of 80 liters, ratio of milk and water is 3 : 1. How much water should be added to make the ratio 2 : 1?
  1. 10 liters
  2. 15 liters
  3. 5 liters
  4. 20 liters

Answer: (A) 10 liters

Milk = 60 L, Water = 20 L. Let x L water be added: 60 / (20 + x) = 2/1 => 20 + x = 30 => x = 10 liters.

Q99. Find the sum of interior angles of an 8-sided polygon (octagon).
  1. 1080°
  2. 900°
  3. 1260°
  4. 1440°

Answer: (A) 1080°

Sum of interior angles = (n - 2) × 180° = (8 - 2) × 180° = 6 × 180° = 1080°.

Q100. A man can row 8 km/h in still water. If the speed of current is 2 km/h, how long will he take to row 30 km downstream?
  1. 2.5 hours
  2. 3 hours
  3. 3.5 hours
  4. 4 hours

Answer: (B) 3 hours

Downstream speed = 8 + 2 = 10 km/h. Time taken = 30 / 10 = 3 hours.