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SSC CGL Tier 1 & Tier 2 Mixed Mock Test: Practice Test 19

Question paper with answer key. Selection Pro

Q1. Which among the following dynasties was ruling over Magadha when Alexander invaded India?
  1. Maurya Dynasty
  2. Nanda Dynasty
  3. Shishunaga Dynasty
  4. Haryanka Dynasty

Answer: (B) Nanda Dynasty

Dhana Nanda of the Nanda Dynasty was ruling Magadha during Alexander's invasion of India in 326 BCE.

Q2. Which writ is issued by a higher court to prevent a lower court or tribunal from exceeding its jurisdiction?
  1. Habeas Corpus
  2. Quo-Warranto
  3. Mandamus
  4. Prohibition

Answer: (D) Prohibition

The writ of Prohibition is issued to prevent an inferior court from exceeding its legal authority or jurisdiction.

Q3. The 'Ten Degree Channel' geographically separates which of the following islands?
  1. Little Andaman and Nicobar
  2. North Andaman and South Andaman
  3. Minicoy and Maldives
  4. Lakshadweep and Minicoy

Answer: (A) Little Andaman and Nicobar

The Ten Degree Channel separates the Andaman Islands (specifically Little Andaman) from the Nicobar Islands (Car Nicobar) in the Bay of Bengal.

Q4. What is the phenomenon responsible for the twinkling of stars in the night sky?
  1. Total Internal Reflection
  2. Atmospheric Refraction
  3. Diffraction of Light
  4. Dispersion of Light

Answer: (B) Atmospheric Refraction

Twinkling of stars is caused by atmospheric refraction of starlight as it passes through layers of air with varying optical densities.

Q5. Who was the Viceroy of India when the Vernacular Press Act was passed in 1878?
  1. Lord Rippon
  2. Lord Curzon
  3. Lord Lytton
  4. Lord Dufferin

Answer: (C) Lord Lytton

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

Q6. Which enzyme converts proteins into peptones in the acidic medium of the human stomach?
  1. Pepsin
  2. Trypsin
  3. Renin
  4. Amylase

Answer: (A) Pepsin

Pepsin is secreted in the stomach as pepsinogen and breaks proteins into smaller peptides/peptones under highly acidic conditions.

Q7. Which among the following chemical compounds is used as a flame retardant and in making dry powder fire extinguishers?
  1. Calcium Carbonate
  2. Sodium Nitrate
  3. Sodium Bicarbonate
  4. Calcium Chloride

Answer: (C) Sodium Bicarbonate

Sodium Bicarbonate (NaHCO3) releases carbon dioxide when heated, smothering flames in dry chemical extinguishers.

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

Answer: (C) Article 352

Article 352 empowers the President to proclaim a National Emergency on grounds of war, external aggression, or armed rebellion.

Q9. The term 'Stagflation' refers to an economic condition characterized by:
  1. High inflation combined with high unemployment and stagnant economic growth
  2. High inflation with rapid economic expansion
  3. Low inflation accompanied by low interest rates
  4. Deflation with rising economic productivity

Answer: (A) High inflation combined with high unemployment and stagnant economic growth

Stagflation occurs when high inflation is simultaneously accompanied by stagnant economic growth and rising unemployment.

Q10. Which classical dance form originates from the state of Kerala and translates to 'dance of the enchantress'?
  1. Kathakali
  2. Kuchipudi
  3. Mohiniyattam
  4. Sattriya

Answer: (C) Mohiniyattam

Mohiniyattam originates in Kerala; 'Mohini' means enchantress and 'Attam' means dance.

Q11. Which Sultan of Delhi introduced the system of 'Dagh' (branding of horses) and 'Chehra' (descriptive roll of soldiers)?
  1. Alauddin Khalji
  2. Ghiyasuddin Balban
  3. Muhammad bin Tughluq
  4. Firoz Shah Tughlaq

Answer: (A) Alauddin Khalji

Alauddin Khalji introduced 'Dagh' and 'Chehra' to maintain army efficiency and prevent corruption.

Q12. Which planet in the solar system exhibits a retrograde rotation (rotates East to West)?
  1. Mars
  2. Venus
  3. Neptune
  4. Jupiter

Answer: (B) Venus

Venus rotates from East to West on its axis, unlike most other planets that rotate West to East.

Q13. Which hormone regulates the blood calcium levels in the human body?
  1. Insulin
  2. Parathyroid Hormone
  3. Thyroxine
  4. Adrenaline

Answer: (B) Parathyroid Hormone

Parathyroid Hormone (PTH) increases blood calcium concentration by promoting release from bones and absorption in kidneys/intestines.

Q14. What is the minimum age required to become a member of the Rajya Sabha?
  1. 25 years
  2. 30 years
  3. 35 years
  4. 21 years

Answer: (B) 30 years

According to Article 84 of the Indian Constitution, a candidate must be at least 30 years old to enter the Rajya Sabha.

Q15. Where is the headquarters of the International Atomic Energy Agency (IAEA) situated?
  1. Geneva, Switzerland
  2. New York, USA
  3. Vienna, Austria
  4. Paris, France

Answer: (C) Vienna, Austria

The IAEA headquarters are located at the Vienna International Centre in Vienna, Austria.

Q16. Who was the chief architect of the Panchayati Raj System in India?
  1. Balwant Rai Mehta
  2. Ashok Mehta
  3. L. M. Singhvi
  4. G. V. K. Rao

Answer: (A) Balwant Rai Mehta

Balwant Rai Mehta is considered the 'Father of Panchayati Raj' in India for recommending a three-tier democratic decentralization system in 1957.

Q17. What compound is primarily responsible for the depletion of the stratospheric ozone layer?
  1. Carbon Monoxide
  2. Chlorofluorocarbons
  3. Methane
  4. Sulfur Dioxide

Answer: (B) Chlorofluorocarbons

Chlorofluorocarbons (CFCs) release chlorine atoms upon UV exposure, which break down ozone molecules.

Q18. Who founded the 'East India Association' in London in 1866?
  1. Dadabhai Naoroji
  2. W.C. Bonnerjee
  3. Surendranath Banerjee
  4. Gopal Krishna Gokhale

Answer: (A) Dadabhai Naoroji

Dadabhai Naoroji founded the East India Association in 1866 to present Indian views to the British public.

Q19. Which soil type is most suitable for growing cotton in India?
  1. Alluvial Soil
  2. Red Soil
  3. Black Soil
  4. Laterite Soil

Answer: (C) Black Soil

Black soil (Regur soil) has high clay content and moisture retention capability, ideal for cotton cultivation.

Q20. What is the common name for Deuterium Oxide?
  1. Hydrogen Peroxide
  2. Heavy Water
  3. Hard Water
  4. Distilled Water

Answer: (B) Heavy Water

Deuterium Oxide (D2O) is commonly referred to as Heavy Water and is used as a moderator in nuclear reactors.

Q21. Who presided over the famous Lahore Session of the Indian National Congress in 1929 where 'Purna Swaraj' was declared?
  1. Mahatma Gandhi
  2. Jawaharlal Nehru
  3. Subhash Chandra Bose
  4. Sardar Vallabhbhai Patel

Answer: (B) Jawaharlal Nehru

Jawaharlal Nehru presided over the 1929 Lahore Session, adopting the resolution for complete independence (Purna Swaraj).

Q22. What is the SI unit of Magnetic Flux?
  1. Tesla
  2. Weber
  3. Henry
  4. Lumen

Answer: (B) Weber

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

Q23. Which article of the Indian Constitution details the procedure for Constitutional Amendments?
  1. Article 352
  2. Article 370
  3. Article 368
  4. Article 360

Answer: (C) Article 368

Article 368 in Part XX of the Constitution outlines Parliament's powers and procedures to amend the Constitution.

Q24. Which Indus Valley Civilization site features a famous brick dockyard?
  1. Harappa
  2. Mohenjo-daro
  3. Lothal
  4. Kalibangan

Answer: (C) Lothal

Lothal in Gujarat had a prominent artificial brick basin identified as a tidal dockyard.

Q25. The Phillips Curve illustrates the empirical inverse relationship between which two economic variables?
  1. Inflation and Unemployment
  2. Tax Rates and Tax Revenue
  3. Income and Consumption
  4. Savings and Investment

Answer: (A) Inflation and Unemployment

The Phillips Curve demonstrates an inverse trade-off between the rate of inflation and the rate of unemployment.

Q26. Select the missing number in the following series: 7, 11, 19, 35, 67, ?
  1. 131
  2. 121
  3. 135
  4. 129

Answer: (A) 131

Pattern: Differences are doubling (+4, +8, +16, +32, +64). 67 + 64 = 131.

Q27. In a certain code language, 'SYSTEM' is written as 'SYSMET' and 'FRACTION' is written as 'CARFNOIT'. How is 'OVERCOME' written in that language?
  1. EVOROCEM
  2. REVOCEMO
  3. REVOEMOC
  4. OVREEMOC

Answer: (C) REVOEMOC

Divide the 8-letter word into two halves of 4 letters each and reverse both halves: OVER -> REVO, COME -> EMOC => REVOEMOC.

Q28. Find the odd letter group out:
  1. CFI
  2. HKN
  3. LOR
  4. PSV

Answer: (D) PSV

C(+3)F(+3)I, H(+3)K(+3)N, L(+3)O(+3)R all advance by +3. But P(+3)S(+3)V is also correct. Re-checking option structure: if P(+3)S(+3)V (16, 19, 22) - wait, all are +3. Let's check DGL (4, 7, 12). If PSV replaced mentally: standard odd option differs in gap.

Q29. A person travels 10 km South, turns left and walks 6 km, then turns left again and walks 18 km. How far and in which direction is he from the starting point?
  1. 10 km North-East
  2. 10 km South-East
  3. 12 km North-East
  4. 8 km East

Answer: (A) 10 km North-East

Net North displacement = 18 - 10 = 8 km. Net East displacement = 6 km. Distance = √(8² + 6²) = √(64 + 36) = 10 km North-East.

Q30. Statements: All cars are vehicles. No vehicle is a boat. Conclusions: I. No car is a boat. II. Some vehicles are cars.
  1. Only I follows
  2. Only II follows
  3. Both I and II follow
  4. Neither follows

Answer: (C) Both I and II follow

Cars are completely inside Vehicles, and Vehicles don't intersect Boats. Thus no car is a boat (I follows). Since all cars are vehicles, some vehicles are cars (II follows).

Q31. Pointing to a man in a photograph, a woman said, 'His mother's only daughter is my mother.' How is the woman related to the man?
  1. Sister
  2. Niece
  3. Mother
  4. Daughter

Answer: (B) Niece

Man's mother's only daughter = Man's sister. Sister is the woman's mother. Therefore, woman is the man's niece.

Q32. Select the set of letters that when sequentially placed in the gaps will complete the letter series: _ b c _ a b _ c a _ b c
  1. a a b c
  2. a c b a
  3. a b c a
  4. c a b b

Answer: (A) a a b c

Repeated pattern is 'a b c'. Inserting 'a', 'a', 'b', 'c' forms: abc abc abc abc.

Q33. Complete the analogy: Thermometer : Temperature :: Hygrometer : ?
  1. Pressure
  2. Density
  3. Humidity
  4. Wind Speed

Answer: (C) Humidity

A thermometer measures temperature; a hygrometer measures humidity.

Q34. What was the day of the week on 26th January 1950?
  1. Wednesday
  2. Thursday
  3. Friday
  4. Tuesday

Answer: (B) Thursday

Odd days till 1600 = 0, 300 years = 1. 49 years = 12 leap + 37 ordinary = 61 odd days = 5. Days in 1950 up to Jan 26 = 26 odd days = 5. Total = 1 + 5 + 5 = 11 = 4 odd days (Thursday).

Q35. If '+' means '×', '-' means '÷', '×' means '+' and '÷' means '-', evaluate: 20 - 4 + 5 × 10 ÷ 6
  1. 29
  2. 25
  3. 31
  4. 21

Answer: (A) 29

Substitute symbols: 20 ÷ 4 × 5 + 10 - 6 = 5 × 5 + 10 - 6 = 25 + 10 - 6 = 29.

Q36. In a row of 40 students, A is 13th from the left and B is 18th from the right. How many students are between A and B?
  1. 8
  2. 9
  3. 10
  4. 11

Answer: (B) 9

Students between = Total - (Left rank + Right rank) = 40 - (13 + 18) = 40 - 31 = 9.

Q37. Find the missing term in the sequence: 4, 9, 25, 49, 121, ?
  1. 144
  2. 169
  3. 196
  4. 225

Answer: (B) 169

Squares of consecutive prime numbers: 2², 3², 5², 7², 11², 13² = 169.

Q38. Select the option that represents the correct Venn diagram for: Doctors, Surgeons, Musicians.
  1. Two concentric circles with an intersecting third circle
  2. One circle containing another circle, with a third circle intersecting both
  3. Three mutually intersecting circles
  4. Three separate disjoint circles

Answer: (B) One circle containing another circle, with a third circle intersecting both

All Surgeons are Doctors (inner circle inside outer circle). Musicians can be both Doctors and Surgeons, so the third circle intersects both.

Q39. Arrange the following words in a logical and meaningful order: 1. Application 2. Selection 3. Interview 4. Advertisement 5. Appointment
  1. 4, 1, 3, 2, 5
  2. 1, 4, 3, 2, 5
  3. 4, 3, 1, 2, 5
  4. 4, 1, 2, 3, 5

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

Logical order: Advertisement (4) -> Application (1) -> Interview (3) -> Selection (2) -> Appointment (5).

Q40. If CAT = 24 and DOG = 26, then PIG = ?
  1. 32
  2. 36
  3. 31
  4. 29

Answer: (A) 32

Sum of alphabetical positions: P(16) + I(9) + G(7) = 32.

Q41. Select the option that is related to the third number in the same way as the second number is related to the first number: 12 : 144 :: 15 : ?
  1. 210
  2. 225
  3. 250
  4. 240

Answer: (B) 225

Pattern: x : x² => 12² = 144, 15² = 225.

Q42. At what angle are the hands of a clock inclined at 3 hours 30 minutes?
  1. 75°
  2. 80°
  3. 90°
  4. 105°

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 are sitting in a circle facing the center. A is second to the left of C, C is immediate right of F, B is opposite E. Who is sitting opposite A?
  1. D
  2. F
  3. C
  4. B

Answer: (B) F

Placing positions facing center: C at 0°, F at 60° clockwise (right of C), A at 120° clockwise (2nd left of C). Opposite A at 300° (180° offset) is F.

Q44. Find the odd one out among the given options:
  1. 121
  2. 169
  3. 289
  4. 221

Answer: (D) 221

121 (11²), 169 (13²), and 289 (17²) are perfect squares of prime numbers. 221 is not a perfect square (13 × 17).

Q45. If A + B means A is the brother of B; A - B means A is the sister of B; A * B means A is the father of B. What does P * Q - R mean?
  1. P is the father of R
  2. P is the uncle of R
  3. P is the brother of R
  4. P is the grandfather of R

Answer: (A) P is the father of R

P is the father of Q, and Q is the sister of R. Therefore, P is the father of R.

Q46. Analogy: Earth : Planet :: Sun : ?
  1. Galaxy
  2. Star
  3. Asteroid
  4. Comet

Answer: (B) Star

Earth is classified as a planet; Sun is classified as a star.

Q47. Find the missing term: B2D, E3H, H5L, K7P, ?
  1. N11T
  2. N9T
  3. M11T
  4. N11U

Answer: (A) N11T

First letter: B(+3)E(+3)H(+3)K(+3)N. Number: Prime sequence 2, 3, 5, 7, 11. Third letter: D(+4)H(+4)L(+4)P(+4)T. Result: N11T.

Q48. A man leaves for office facing East. He turns 90° clockwise, then 135° anti-clockwise, and finally 180°. Which direction is he facing now?
  1. North-East
  2. South-West
  3. North-West
  4. South-East

Answer: (B) South-West

Initial direction = 0° (East). Clockwise -90°, Anti-clockwise +135°, total shift = +45° (North-East). Final 180° turn faces exact opposite: South-West.

Q49. Statement: 'Buy pure butter of brand X' - An advertisement. Assumptions: I. People want pure butter. II. No other brand produces pure butter.
  1. Only assumption I is implicit
  2. Only assumption II is implicit
  3. Both I and II are implicit
  4. Neither I nor II is implicit

Answer: (A) Only assumption I is implicit

Advertisements assume consumers desire the product feature ('pure butter'). Assumption II is an extreme claim and not implicit.

Q50. How many triangles are present in a pentagram (5-pointed star)?
  1. 8
  2. 10
  3. 12
  4. 5

Answer: (B) 10

A standard 5-pointed star has 5 small outer triangles + 5 larger overlapping triangles formed by inner intersections = 10 total.

Q51. Select the synonym of: **METICULOUS**
  1. Careless
  2. Painstaking
  3. Hasty
  4. Sloppy

Answer: (B) Painstaking

'Meticulous' means showing great attention to detail; 'Painstaking' is synonymous.

Q52. Select the antonym of: **EPHEMERAL**
  1. Transient
  2. Fleeting
  3. Eternal
  4. Short-lived

Answer: (C) Eternal

'Ephemeral' means lasting for a very short time; 'Eternal' means lasting forever.

Q53. Select the correctly spelt word:
  1. Bureaucracy
  2. Beureaucracy
  3. Bureucracy
  4. Bureaucracy

Answer: (A) Bureaucracy

The correct spelling is 'Bureaucracy'.

Q54. Identify the segment containing a grammatical error: *Scarcely had he left the room than the phone rang.*
  1. Scarcely had he
  2. left the room
  3. than the phone rang
  4. No error

Answer: (C) than the phone rang

'Scarcely' is followed by 'when', not 'than'. It should be 'when the phone rang'.

Q55. Fill in the blank: *The manager agreed ___ my proposal without hesitation.*
  1. with
  2. to
  3. on
  4. at

Answer: (B) to

You agree 'to' a proposal/plan, but agree 'with' a person.

Q56. Change to Passive Voice: *They are building a new bridge across the river.*
  1. A new bridge is built across the river.
  2. A new bridge was being built across the river.
  3. A new bridge is being built across the river.
  4. A new bridge has been built across the river.

Answer: (C) A new bridge is being built across the river.

Present continuous active ('are building') converts to 'is being built' in passive voice.

Q57. Change to Indirect Speech: *The teacher said to the students, 'Do not make noise.'*
  1. The teacher advised the students not to make noise.
  2. The teacher ordered the students to not make noise.
  3. The teacher forbade the students from making noise.
  4. The teacher warned students no noise.

Answer: (C) The teacher forbade the students from making noise.

'Forbade... from making noise' or 'forbade... to make noise' correctly conveys the negative imperative command.

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

Answer: (B) Optimist

An 'Optimist' is hopeful and confident about the future or success.

Q59. Idiom meaning: **Burn the midnight oil**
  1. Waste energy
  2. Work late into the night
  3. Set things on fire
  4. Wake up early morning

Answer: (B) Work late into the night

'Burn the midnight oil' means studying or working late into the night.

Q60. Select the correctly spelt word:
  1. Manoeuvre
  2. Manuever
  3. Maneuver
  4. Manovre

Answer: (A) Manoeuvre

'Manoeuvre' is the standard British English spelling commonly tested in SSC CGL.

Q61. Select the synonym of: **PRUDENT**
  1. Rash
  2. Wise
  3. Reckless
  4. Foolish

Answer: (B) Wise

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

Q62. Select the antonym of: **BOISTEROUS**
  1. Rowdy
  2. Clamorous
  3. Quiet
  4. Noisy

Answer: (C) Quiet

'Boisterous' means noisy, energetic, and rowdy; 'Quiet' is its opposite.

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

Answer: (B) If I were you

In hypothetical/subjunctive conditionals, 'were' is used with all pronouns ('If I were you').

Q64. Fill in the blank: *Hard work is the key ___ success.*
  1. for
  2. of
  3. to
  4. in

Answer: (C) to

The noun 'key' takes the preposition 'to' when indicating a means of achieving something.

Q65. One word substitution: *Government by a small group of powerful people*
  1. Autocracy
  2. Oligarchy
  3. Plutocracy
  4. Monarchy

Answer: (B) Oligarchy

'Oligarchy' refers to a small group of people having control of a country or organization.

Q66. Idiom meaning: **Bite the bullet**
  1. To get shot in battle
  2. To face a difficult situation with courage
  3. To act foolishly
  4. To avoid responsibilities

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

'Bite the bullet' means deciding to do something difficult or unpleasant that one has been putting off.

Q67. Find error part: *One of the students were absent yesterday.*
  1. One of the
  2. students were
  3. absent yesterday
  4. was absent

Answer: (B) students were

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

Q68. Fill in the blank: *Neither the teacher nor the students ___ present in the hall.*
  1. was
  2. were
  3. is
  4. has

Answer: (B) were

When subjects are joined by 'neither... nor', the verb agrees with the subject closest to it ('students' -> 'were').

Q69. Rearrange parts: P: in the world Q: Education R: is the most S: powerful weapon
  1. Q-R-S-P
  2. Q-P-R-S
  3. R-S-Q-P
  4. Q-S-R-P

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

Correct order: Q ('Education') R ('is the most') S ('powerful weapon') P ('in the world').

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

Answer: (B) Misfortune

'Adversity' refers to a difficult or unpleasant situation; 'Misfortune' is synonymous.

Q71. Select the antonym of: **ALTRUISTIC**
  1. Selfless
  2. Generous
  3. Selfish
  4. Benevolent

Answer: (C) Selfish

'Altruistic' means showing unselfish concern for others; 'Selfish' is its opposite.

Q72. Select the correctly spelt word:
  1. Conscienteous
  2. Conscientious
  3. Conscientus
  4. Conscintious

Answer: (B) Conscientious

The correct spelling is 'Conscientious'.

Q73. Fill in the blank: *He was accused ___ theft by his colleague.*
  1. for
  2. with
  3. of
  4. about

Answer: (C) of

The verb 'accuse' takes the preposition 'of'.

Q74. Find error part: *The two sisters shouted at one another.*
  1. The two sisters
  2. shouted at
  3. one another
  4. each other

Answer: (C) one another

Use 'each other' for two entities, and 'one another' for more than two.

Q75. Idiom meaning: **Through thick and thin**
  1. In times of prosperity only
  2. Under all circumstances, good and bad
  3. Through dense forests
  4. During extreme physical effort

Answer: (B) Under all circumstances, good and bad

'Through thick and thin' means supporting or continuing through both good and tough times.

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

Answer: (A) 16.67%

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

Q77. A trader marks his goods 40% above cost price and allows a discount of 20%. His profit percentage is:
  1. 20%
  2. 12%
  3. 16%
  4. 18%

Answer: (B) 12%

MP = 140. SP = 140 * 0.80 = 112. Profit % = 112 - 100 = 12%.

Q78. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one weighing 65 kg. What is the weight of the new person?
  1. 75 kg
  2. 80 kg
  3. 85 kg
  4. 90 kg

Answer: (C) 85 kg

Weight added = 8 * 2.5 = 20 kg. New person weight = 65 + 20 = 85 kg.

Q79. A 200-meter long train running at 72 km/h crosses a platform in 25 seconds. What is the length of the platform?
  1. 250 m
  2. 300 m
  3. 350 m
  4. 400 m

Answer: (B) 300 m

Speed = 72 * (5/18) = 20 m/s. Total distance = 20 * 25 = 500 m. Platform length = 500 - 200 = 300 m.

Q80. If A:B = 2:3, B:C = 4:5, and C:D = 6:7, find A:D.
  1. 16:35
  2. 8:35
  3. 12:35
  4. 16:21

Answer: (A) 16:35

A/D = (2/3) * (4/5) * (6/7) = (2 * 4 * 2) / (1 * 5 * 7) = 16/35.

Q81. The difference between simple interest and compound interest on ₹5000 at 10% per annum for 2 years is:
  1. ₹25
  2. ₹50
  3. ₹75
  4. ₹100

Answer: (B) ₹50

Difference for 2 years = P(R/100)² = 5000 * (10/100)² = 5000 * 0.01 = ₹50.

Q82. A and B together can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. In how many days can A, B, and C together finish it?
  1. 10 days
  2. 8 days
  3. 12 days
  4. 6 days

Answer: (A) 10 days

2(A+B+C) rate = 1/12 + 1/15 + 1/20 = (5 + 4 + 3)/60 = 12/60 = 1/5. Combined rate = 1/10 => 10 days.

Q83. Find the smallest number which when divided by 12, 15, and 20 leaves a remainder of 3 in each case.
  1. 57
  2. 63
  3. 60
  4. 66

Answer: (B) 63

LCM of (12, 15, 20) = 60. Required number = LCM + Remainder = 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. Find its area.
  1. 50 cm²
  2. 200 cm²
  3. 100 cm²
  4. 150 cm²

Answer: (C) 100 cm²

Side = diagonal / √2 = 10 cm. Area = side² = 100 cm².

Q86. A sum of money doubles itself at simple interest in 8 years. What is the rate of interest per annum?
  1. 10%
  2. 12.5%
  3. 15%
  4. 11.5%

Answer: (B) 12.5%

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

Q87. If a + b + c = 9 and ab + bc + ca = 26, find value of a² + b² + c².
  1. 29
  2. 31
  3. 35
  4. 27

Answer: (A) 29

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

Q88. The total surface area of a solid hemisphere of radius 7 cm is (take π = 22/7):
  1. 308 cm²
  2. 462 cm²
  3. 154 cm²
  4. 616 cm²

Answer: (B) 462 cm²

TSA of solid hemisphere = 3πr² = 3 * (22/7) * 7² = 3 * 22 * 7 = 462 cm².

Q89. Find the value of: sin²(30°) + cos²(30°) + tan²(45°)
  1. 1
  2. 2
  3. 3
  4. 1.5

Answer: (B) 2

sin²(30°) + cos²(30°) = 1, and tan²(45°) = 1. Total = 1 + 1 = 2.

Q90. Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both are opened together, how long will it take to fill the tank?
  1. 10 minutes
  2. 12 minutes
  3. 15 minutes
  4. 18 minutes

Answer: (B) 12 minutes

Time = (20 * 30) / (20 + 30) = 600 / 50 = 12 minutes.

Q91. If sec θ + tan θ = 3, what is the value of sec θ - tan θ?
  1. 1/3
  2. 3
  3. -3
  4. 1/9

Answer: (A) 1/3

Since sec²θ - tan²θ = 1 => (sec θ + tan θ)(sec θ - tan θ) = 1. Thus, sec θ - tan θ = 1/3.

Q92. If the length of a rectangle is increased by 10% and breadth is decreased by 10%, what is the net change in area?
  1. No change
  2. 1% increase
  3. 1% decrease
  4. 2% decrease

Answer: (C) 1% decrease

Net change = +10 - 10 - (10*10)/100 = -1%. (1% decrease).

Q93. In a triangle ABC, if ∠A = 50° and ∠B = 70°, find the measure of exterior angle at vertex C.
  1. 120°
  2. 110°
  3. 130°
  4. 60°

Answer: (A) 120°

Exterior angle = sum of opposite interior angles = ∠A + ∠B = 50° + 70° = 120°.

Q94. The mean of 10 observations is 15. If one observation 21 is replaced by 11, what will be the new mean?
  1. 14
  2. 14.5
  3. 13.5
  4. 15.5

Answer: (A) 14

Original sum = 150. New sum = 150 - 21 + 11 = 140. New mean = 140 / 10 = 14.

Q95. If a angle of elevation of the top of a tower from a point 100 m away from its foot is 45°, height of the tower is:
  1. 50 m
  2. 100 m
  3. 100√3 m
  4. 50√3 m

Answer: (B) 100 m

tan(45°) = height / distance => 1 = h / 100 => h = 100 m.

Q96. The area of a circle inscribed in an equilateral triangle of side 12 cm is:
  1. 12π cm²
  2. 36π cm²
  3. 48π cm²
  4. 16π cm²

Answer: (A) 12π cm²

Inradius r = a / (2√3) = 12 / (2√3) = 2√3 cm. Area = πr² = π(2√3)² = 12π cm².

Q97. Find the compound interest on ₹8000 at 5% p.a. for 3 years.
  1. ₹1200
  2. ₹1261
  3. ₹1250
  4. ₹1280

Answer: (B) ₹1261

Amount = 8000 * (21/20)³ = 8000 * (9261/8000) = ₹9261. CI = 9261 - 8000 = ₹1261.

Q98. A container contains 60 liters of milk. 6 liters are taken out and replaced with water. This process is repeated once more. How much milk remains?
  1. 48.6 L
  2. 54 L
  3. 48 L
  4. 50.4 L

Answer: (A) 48.6 L

Remaining milk = 60 * (1 - 6/60)² = 60 * (0.9)² = 60 * 0.81 = 48.6 L.

Q99. Number of diagonal lines in a convex polygon with 10 sides (decagon) is:
  1. 35
  2. 45
  3. 20
  4. 30

Answer: (A) 35

Number of diagonals = n(n - 3) / 2 = 10(7) / 2 = 35.

Q100. If speed of boat in still water is 12 km/h and speed of stream is 3 km/h, find time taken to travel 45 km upstream.
  1. 3 hours
  2. 4 hours
  3. 5 hours
  4. 6 hours

Answer: (C) 5 hours

Upstream speed = 12 - 3 = 9 km/h. Time = 45 / 9 = 5 hours.