SSC CHSL 2020 PYQs

Question 1

Δ‌PQRis an isosceles triangle such thatPQ=QR=10‌cmandΔ‌PQR=90°. What is the length of the perpendicular drawn from Q on PR ?

Accepted Answer

Since ΔPQR is a right-angled isosceles triangle, PR = 10√2 cm. The area can be calculated as (1/2) * base * height. Equating (1/2)*PQ*QR = (1/2)*PR*h, we get h = (10*10)/(10√2) = 10/√2 = 5√2 cm.

Question 2

Ifx2+1x2=38, then what is the value of|x−1x|?

Accepted Answer

Use the identity (a-b)² = a² + b² - 2ab. Here, (x - 1/x)² = x² + 1/x² - 2(x)(1/x) = 38 - 2 = 36. So, |x - 1/x| = √36 = 6.

Question 3

Tap A can fill a tank in6hand tap B can empty the same tank in10h. If both taps are opened together, then how much time (in h) will be taken to fill the tank?

Accepted Answer

Tap A fills 1/6 of the tank per hour, and tap B empties 1/10 per hour. Together, the net filling rate is 1/6 - 1/10 = 2/30 = 1/15 per hour. So, the tank fills in 15 hours.

Question 4

In the given bar graph, the white bar shows the income and the black bar shows the expenditure of company (in ₹ lakhs). Study the graph and answer the question that follows.The percentage decrease in the income of the company in 2002 as compared to that in 2001 is

Accepted Answer

Income in 2001 was 60 lakhs and in 2002 was 50 lakhs. Decrease = 60 - 50 = 10 lakhs. Percentage decrease = (10/60) * 100 = 16.66% or 16 2/3%.

Question 5

In how many years shall₹3500invested at the rate of10%simple interest per annum, amount to₹4500?

Accepted Answer

Simple Interest (SI) = Amount - Principal = 4500 - 3500 = 1000. Using SI = (P * R * T) / 100, we get 1000 = (3500 * 10 * T) / 100. Solving for T gives T = 1000 / 350 = 100 / 35 = 20 / 7 years.

Question 6

Kishore had a loss of20%on selling an article for₹7160. At what price should he have sold the item to make a profit of30%?

Accepted Answer

First, find the cost price (CP) using the 20% loss: CP = 7160 / (1 - 0.20) = 7160 / 0.80 = ₹8950. Then, calculate the selling price for a 30% profit: SP = 8950 * (1 + 0.30) = 8950 * 1.30 = ₹11635.

Question 7

The cost price of 15 pens is equal to the selling price of 20 pens. The loss or profit percentage is

Accepted Answer

Let CP of 1 pen be Re 1. Total CP = Rs 15. SP of 20 pens = CP of 15 pens = Rs 15. So, SP of 1 pen = 15/20 = Re 0.75. Loss = 1 - 0.75 = Re 0.25. Loss% = (0.25/1) * 100 = 25%.

Question 8

Ifa=355,b=356,c=357, then find the value ofa3+b3+c3−3abc.

Accepted Answer

Use the identity a³+b³+c³−3abc = (a+b+c)/2 * [(a-b)² + (b-c)² + (c-a)²]. Substitute the values a=355, b=356, c=357 to get the result 3204.

Question 9

General AwarenessHow many times did Pankaj Advani win the 'IBSF World Billiards Championship'?

Accepted Answer

Pankaj Advani is a renowned Indian billiards and snooker player. He has won the IBSF World Billiards Championship a record 22 times, showcasing his dominance in the sport.

Question 10

General AwarenessNew Delhi's Lotus Temple was designed by an architect from

Accepted Answer

The Lotus Temple in New Delhi was designed by an Iranian architect named Fariborz Sahba. It is a Baháʼí House of Worship.

Question 11

General AwarenessThe 'transformation curve' is also known as the

Accepted Answer

The 'transformation curve' is another name for the Production Possibility Curve (PPC), which illustrates the maximum output combinations of two goods.

Question 12

General AwarenessAs per the Constitution 91st Amendment Act, 2003, the total number of ministers, including the Chief Minister, in the Council of Ministers in a state cannot exceed of the total number of members of the Legislative Assembly of the state.

Accepted Answer

The 91st Constitutional Amendment Act of 2003 limits the size of the Council of Ministers to 15% of the total members of the Legislative Assembly, including the Chief Minister.

Question 13

General AwarenessWho was the last Viceroy of India who oversaw the creation of the independent states of India and Pakistan?

Accepted Answer

Lord Mountbatten was the last Viceroy of India, responsible for overseeing the partition of British India into India and Pakistan in 1947.

Question 14

In a computer, which unit is responsible for processing data and is also called the electronic brain of the computer?

Accepted Answer

The Central Processing Unit (CPU) is the primary component that executes instructions and processes data, earning it the nickname 'electronic brain'.

Question 15

When did the Sarkaria Commission submit its report?

Accepted Answer

The Sarkaria Commission, established in 1983, submitted its comprehensive report on Centre-State relations in January 1988. This is a direct factual recall question.

Question 16

What is the name of the force with which Earth pulls everything towards itself ?

Accepted Answer

Gravity is the natural force by which a planet or other body draws objects toward its center. The Earth's pull is specifically called gravity.

Question 17

The State Government of Goa launched the 'Swasthya Sakhi Project' in January 2020 to ensure the

Accepted Answer

The 'Swasthya Sakhi Project' specifically targets women's health and welfare, as 'Sakhi' (सखी) means female friend/companion, indicating a focus on women.

Question 18

In July 2018, a stable body of liquid water was found on Mars using a radar instrument on board the   European Space Agency's Mars Express orbiter. The tool that was used for the discovery is called

Accepted Answer

The passage explicitly states that the radar instrument used for the discovery was called MARSIS. This is a direct fact retrieval from the provided text.

Question 19

On which day is Constitution Day celebrated every year in India?

Accepted Answer

Constitution Day in India is celebrated on November 26th each year to commemorate the adoption of the Constitution of India.

Question 20

Which country is to train Indian flight surgeons to enable them to monitor the health of astronauts selected for the human space mission Gaganyaan

Accepted Answer

France signed an agreement with India to train Indian flight surgeons for the Gaganyaan mission. This collaboration focuses on space medicine and astronaut health monitoring.