Kerala High Court Assistant Questions Solved Problems with Detailed Solutions [Free PDF]

The time and the distance are directly proportional to each other when speed remains constant.

T₁ = 11 seconds 

∵ The speed of the train same, so T = D

Then,

⇒ 11 seconds = 220 m

⇒ 1 seconds = 20 m      ---(1)

The time taken to cross the bridge is 18 seconds.

We can say that trains take 7 seconds extra to cross the bridge.

Now, from equation (1)

⇒ 7 seconds = 140 m

∴ The length of the bridge is 140 m.

Traditional Method:

Given:

Length of the train = 220 m

Time is taken to cross the signal post = 11 seconds

Time is taken to cross the bridge = 18 second

Formula used:

Speed = Distance/Time

D = d + l

Where,

S = Speed of train, D = Total distance, T = Time take

d = length of bridge, l = length of train

Calculation:

According to the question,

When train passes the signal post

S = l/t₁

⇒ S = 220/11

⇒ S = 20 m/s      ---(1)

Again, according to the question

S = (d + l)/t₂

⇒ S = (d + 220)/18

From equation (1)

⇒ 20 = (d + 220)/18

⇒ 360 = d + 220

⇒ d = 140 m

t1 = time taken by train to cross the telegraph post.

t2 = time taken by train to cross the bridge.

Additional Information

When we cross the pole, man or any other point object, we can consider their length as negligible. 

The average age of three sportsmen = 19 years

The ratio of their ages = 4 ∶ 7 ∶ 8

Formula Used:

Average = (Sum of all observations)/(Total number of all observations)

Calculation:

Let the ages of three sportsmen be 4x, 7x, and 8x respectively.

According to the question, we have

Total age of three sportsmen = 19 × 3 

⇒ 4x + 7x + 8x = 57

⇒ 19x = 57 years

⇒ x = 3

Now, the oldest age of sportsman

8x = 8 × 3

⇒ 24 years

∴ The age of the oldest sportsman is 24 years.

Given:

A can complete the work = 10 days

A and B together can do a piece of work in 6 days.

Concept Used:

Total work = Total efficiency × Total time

Calculation:

According to the question, we have

Total work (LCM of 6 days and 10 days) = 30

The efficiency of A = 30/10 = 3

The efficiency of A & B = 30/6 = 5

The efficiency of B will be  = 5 - 3 = 2

B alone complete that work = 30/2 = 15 days

∴ B alone completes that work in 15 days.

Alternate Method

A and B together can do a piece of work in X days. If A alone can complete the same work in Y days,

then B alone complete that work in (X × Y)/(X - Y) days

According to the question,

B complete the work in (10 × 6)/(10 - 6) = 60/4 = 15 days

∴ B alone completes that work in 15 days.

Confusion Points

• Since the answer does not match with the given options, what we can do is rationalize the given fraction to find the desired result. The given answer is correct according to the official answer key of DSSSB LDC Official Paper 2 (Held on: 18 Aug 2019 Shift 3).
   

EXPLANATION:

Given:

A = (3/7) × (9/28) ÷ (81/343)

B = (4/5) ÷ (16/25) + (3/7) × (28/27)

Calculation:

According to the question,

A = (3/7) × (9/28) ÷ (81/343)

⇒ (3/7) × (9/28) × (343/81)

⇒ (3/7) × (1/4) × (49/9)

⇒ (1/4) × (7/3)

⇒ 7/12

Now, B = (4/5) ÷ (16/25) + (3/7) × (28/27)

⇒ (4/5) × (25/16) + 4/9

⇒ (5/4) + (4/9)

⇒ 61/36

Now, 

B/A = (61/36)/(7/12)

⇒ (61/36) × (12/7)

⇒ (61/3) × (1/7)

⇒ 61/21

⇒ (61 × 21)/(21 × 21)

⇒ 1281/441

∴ The value of B/A is 1281/441.

The correct answer is 0°Latitude.

Key Points

• The latitude of a place on the earth’s surface is its distance north or south of the equator.
• It is measured along the meridian of that place at an angle from the centre of the earth.
• Lines joining places with the same latitudes are called parallels. 
• The line drawn midway between the North Pole and the South Pole that is 0°Latitude is called the equator.
• It is the largest circle and divides the globe into two equal halves, It is also called a great circle.
• All the other parallels get smaller in size, in proportion to their distance from the equator towards the poles and divide the earth into two unequal halves, also referred to as the small circles. 

Additional Information

• The Tropic of Cancer is located 23.5 degrees north of the Equator. 
  • States through which Tropic of cancer pass:
    •  Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram.
• Tropic of Capricorn is located at 23° S in the Southern Hemisphere.
  • It passes through Argentina, Australia, Botswana, Brazil, Chile, Madagascar, Mozambique, Namibia, and Paraguay.
•  The latitude of the North Pole is 90 degrees N, and the latitude of the South Pole is 90 degrees S.
• The Arctic Circle is a parallel of latitude on the Earth at approximately 66.5 degrees north from the equator. 
• The Antarctic Circle is a parallel of latitude on the Earth at approximately 66.5 degrees south of the equator. 

The Correct answer is DDT.

Key Points

• Silent Spring:
  • It is the novel written by American marine biologist, Rachel Carson.
  • She was credited for advancing the global environmental movement.
  • A major theme in the novel is the idea that humans and society, in general, is not aware of the risks that come with using dangerous chemicals in the lands from where food comes from. 
  • The government and the pesticide manufacturers pushed on numerous times for more extensive use of pesticides in the fields and they ignored time and time the risk they imposed.

​​​​Additional Information

• DDT:
  • It stands for Dichloro Diphenyl Trichloroethane.
  • It is a colourless, tasteless crystalline compound.
  • It was infamous due to negative environmental impacts.
  • It was discovered by Paul Muller in 1939.

Given: 

Rohan starts a business = Rs. 75,000 

Suraj starts a business = Rs. 60,000

Formula Used: 

Investment = capital × time 

The profit ratio is equal to the investment ratio

Calculation: 

Rohan investment for 12 months = 75000 × 12 = 900000

Surja investment for (12 - 4) months = 60000 × 8 = 480000

⇒ Investment Ratio (Rohan : Suraj) = 900000 : 480000 = 15 : 8 

⇒ Profit Ratio = 15 : 8 

∴ Their profit ratio at the end of the year is 15 : 8.

The Correct answer is Dr. M. Lilavati.

Key Points

• ONV literary award:
  • It was instituted in 2017.
  • It was awarded annually by O. N. V. cultural academy in memory of Malayalam poet O.N.V. Kuruppu.
  • The award consists of a statuette, certificate and cash prize of Rs.3,00,000.
  • This is a national award given to the writers on the basis of their overall contribution to the literature.
  • First awardee: Sugathakumari.
  • Recent awardee: M. Leelavati.

​
Additional Information

• M. Leelavati:
  • Malayalam poet and critic.
  • Leelavathy's important works include 'Varnaraji', 'Amruthamashnuthe', 'Malayala Kavitha Sahithya Charithram', 'Adipraroopangal Sahithyathil', 'Appuvinte Anweshanam', and 'Navatharangam'.
• Akkitham Achuthan Namboothiri:
  • Malayalam poet and essayist. 
  • He won Jnapith Award, India's highest literary honour in 2019.
  • He also won ONV literary award in 2019.
  • Important works:  Irupatham Noottandinte Ithihasam, Balidarshanam, Nimisha Kshetram.
• Praba Varma:
  • Malayalam Poet and Journalist.
  • He won the Kerala Sahitya Akademi Award for Arkkapoornima in 1995.
  • He won the Kendra Sahitya Akademi Award for Shyama Madhavam in 2016.
• C Radhakrishnan:​
  • Malayalam writer and film director.
  • He won Moorthidevi Puraskaram for his novel Theekkadal Kadannu Thirumadhuram in 2013.
  • Theekkadal Kadannu Thirumadhuram is the book that deals with the biography of Thunchath Ezhuthachan, the Father of the modern Malayalam language.

The correct answer is Thiruvananthapuram.

Key Points

• Shashi Tharoor was elected for a third consecutive term as Member of Parliament from Thiruvananthapuram, Kerala in 17th Loksabha, 2019.
• Tharoor, a former UN Under-Secretary-General, has been representing Thiruvananthapuram since 2009.
• In 2014, he won by a narrow margin of 15,000-odd votes against BJP veteran O. Rajagopal.
• In 2019, he defeated Kummanam Rajasekharan of the BJP by 99,989 votes.