SSC CGL Undated PYQs

Question 1

If a + b = 10 and ab = 24, then what is the value of a3 + b3?

Accepted Answer

Use the algebraic identity a³ + b³ = (a+b)³ - 3ab(a+b). Substitute the given values: 10³ - 3(24)(10) = 1000 - 720 = 280.

Question 2

Which queen of the Kakatiya dynasty ruled over Warangal, part of modern Andhra Pradesh?

Accepted Answer

Rani Rudramadevi was a prominent monarch of the Kakatiya dynasty in the Deccan Plateau, ruling from Warangal (1263–1289 CE). She was one of the few ruling queens in Indian history.

Question 3

Who discovered X-rays?

Accepted Answer

Wilhelm Conrad Roentgen, a German physicist, discovered X-rays in 1895 while experimenting with cathode rays. He received the first Nobel Prize in Physics in 1901 for this groundbreaking discovery.

Question 4

Which of the following disease is caused by female Anopheles mosquito?

Accepted Answer

Malaria is caused by the Plasmodium parasite, which is transmitted to humans primarily through the bites of infected female Anopheles mosquitoes.

Question 5

Improve the bracketed part of the sentence. He thanked me for what I (have done) for his wife.

Accepted Answer

The main verb 'thanked' is in the simple past. The action of 'doing' for his wife happened before he thanked, requiring the past perfect tense 'had done'.

Question 6

If the force applied on the object is in the direction opposite to the direction of motion, the speed of the object __________.

Accepted Answer

According to Newton's laws, a force applied opposite to the direction of motion causes negative acceleration (deceleration), which gradually reduces the object's speed.

Question 7

If a saree is sold for Rs 2880 the seller will face 10% loss, at what price (in Rs) should he sell to gain 20% profit?

Accepted Answer

Selling price at 10% loss is 90% of CP. So, CP = 2880 / 0.9 = Rs 3200. To gain 20%, new SP = 3200 × 1.2 = Rs 3840.

Question 8

The laws which govern the motion of planets are called ___________________.

Accepted Answer

Johannes Kepler formulated three laws of planetary motion that describe the orbits of planets around the Sun, including the laws of ellipses, equal areas, and harmonies.

Question 9

How many types of writ are there in the Indian Constitution?

Accepted Answer

Article 32 and 226 of the Indian Constitution provide for five types of writs: Habeas Corpus, Mandamus, Prohibition, Certiorari, and Quo-Warranto to protect fundamental rights.

Question 10

Which of the following was a leader of the Hindustan Socialist Republican Army founded in 1928?

Accepted Answer

Chandra Shekhar Azad was the principal leader and commander-in-chief of the Hindustan Socialist Republican Association (Army) founded in 1928 at Feroz Shah Kotla, Delhi.

Question 11

The closest example of a centrally planned economy is the __________ for the major part of the 20th Century.

Accepted Answer

The Soviet Union operated a centrally planned (command) economy where the government made all major decisions regarding production, pricing, and distribution, unlike capitalist or mixed economies.

Question 12

A person lent Rs 10000 to B for 3 years and Rs 6000 to C for 4 years on simple interest at same rate of interest and received Rs 5400 in all from both of them as interest. What is the rate of interest (in %)?

Accepted Answer

Total simple interest is the sum of interest from B and C. (10000 × 3 × R)/100 + (6000 × 4 × R)/100 = 5400. This gives 300R + 240R = 5400, so 540R = 5400, meaning R = 10%.

Question 13

In the following question, select the related number from the given alternatives. 56 : 41 : : 94 : ?

Accepted Answer

The logic is (Product of digits) + (Sum of digits). For 56: (5×6) + (5+6) = 30 + 11 = 41. For 94: (9×4) + (9+4) = 36 + 13 = 49.

Question 14

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3 + z3?

Accepted Answer

Use the identity x³+y³+z³ - 3xyz = (x+y+z)[(x+y+z)² - 3(xy+yz+zx)]. Substituting the values gives x³+y³+z³ - 144 = 12[144 - 132] = 144. Thus, x³+y³+z³ = 288.

Question 15

Who discovered bacteria?

Accepted Answer

Antonie van Leeuwenhoek discovered bacteria in 1676 using a single-lens microscope of his own design. He originally called these microscopic organisms 'animalcules'.

Question 16

A __________ thread is actually stronger than a steel wire.

Accepted Answer

Nylon is a synthetic polymer known for its exceptional tensile strength and elasticity. A nylon thread of the same thickness can bear more weight than a steel wire.

Question 17

Animals like annelids and arthropods etc where the body can be divided into identical left and right halves in only one plane, exhibit ________ symmetry.

Accepted Answer

When an animal's body can be divided into identical left and right halves through a single central plane, it is called bilateral symmetry. Annelids and arthropods show this trait.

Question 18

Rohan borrowed a certain sum of money at simple interest. Rate of interest was 3% per annum for first 3 years, 4% per annum for next 5 years and 6% per annum for next 7 years. If he paid Rs 2059 as interest, then what is the sum borrowed (in Rs)?

Accepted Answer

Total simple interest is the sum of (rate × time) for each period: (3×3) + (4×5) + (6×7) = 71%. Since 71% of the principal equals Rs 2059, the principal is 2059 / 0.71 = Rs 2900.

Question 19

What is the stock (in '000 quintals) of country C at end of the 4 year period?

Accepted Answer

Calculate the final stock by taking the initial stock of country C, adding the total production over the 4 years, and subtracting the total consumption. This yields 6826.

Question 20

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

Accepted Answer

The difference between 30% and 25% of the number is 5%. Since 5% equals 27, the total number (100%) is 27 multiplied by 20, which gives 540.