SSC CGL Undated PYQs

Question 1

What is the least value of tan2 θ + cot2 θ + sin2 θ + cos2 θ + sec2 θ + cosec2 θ?

Accepted Answer

Using identities, the expression simplifies to 3 + 2(tan² θ + cot² θ). Since the minimum value of tan² θ + cot² θ is 2 (by AM ≥ GM), the least value is 3 + 2(2) = 7.

Question 2

If 1 shirt is offered free on purchase of 4 shirts, what is the effective discount (in %) on each shirt?

Accepted Answer

Total shirts received is 5 (4 paid + 1 free). The discount is calculated on the total items. Discount % = (1 / 5) × 100 = 20%.

Question 3

The queen with the title Didda ruled over which part of India between 980 - 1003?

Accepted Answer

Queen Didda, often called the Catherine of Kashmir, ruled the Kashmir region from 980 to 1003 CE. She was a powerful and influential female monarch of the Utpala dynasty.

Question 4

RBCs are formed in the ____________ in the adults.

Accepted Answer

In adults, Red Blood Cells (RBCs) are primarily produced in the red bone marrow of large bones like the femur and ribs through a process called erythropoiesis.

Question 5

There are five energy drinks - Red, Moto, Energy, Lion and Bull containing different range of sugar content. Moto having sugar content more than all other drinks. Energy having the sugar content only more than the Lion. Bull is not having sugar content more than the Red. Which of the following drink having the second most sugar content? ?

Accepted Answer

Moto is 1st. Energy is 4th (only more than Lion, which is 5th). Bull is not more than Red, so Red > Bull. The order is Moto > Red > Bull > Energy > Lion. Red is 2nd.

Question 6

If ETHANOL is coded as HWKDQRO, then how will MIX be coded as?

Accepted Answer

Each letter in the word is shifted forward by 3 positions in the alphabet. Applying this to MIX: M+3=P, I+3=L, X+3=A. Thus, the code is PLA.

Question 7

The _________ of a firm is a relationship between inputs used and output produced by the firm.

Accepted Answer

The production function mathematically describes the maximum output a firm can produce from a given combination of inputs like labor and capital.

Question 8

The average marks per student in English is what percent of the average marks per student in Hindi?

Accepted Answer

To find the required percentage, divide the average marks in English by the average marks in Hindi and multiply by 100. (English Avg / Hindi Avg) × 100 ≈ 92.71%.

Question 9

Why does a black board appears black in colour?

Accepted Answer

An object appears black when it absorbs all wavelengths of visible light and reflects none. Since no light reaches our eyes from it, we perceive it as black.

Question 10

In humans, the sound is produced by the ________.

Accepted Answer

The larynx, also known as the voice box, contains vocal cords that vibrate to produce sound when air passes through them from the lungs.

Question 11

___________ makes laws on matters included in Union List and Concurrent List.

Accepted Answer

The Parliament, which includes the Lok Sabha, has the constitutional authority to legislate on subjects mentioned in the Union List and the Concurrent List.

Question 12

The place on the earth's surface above the focus is called the __________.

Accepted Answer

The focus is where an earthquake originates inside the Earth. The point directly above it on the Earth's surface is called the epicentre.

Question 13

In which market form, a market or an industry is dominated by a single seller? ?

Accepted Answer

A monopoly is a market structure characterized by a single seller or producer that holds a dominant position in an industry, facing no significant competition.

Question 14

Opposite the micropylar end, is the __________, representing the basal part of the ovule.

Accepted Answer

The chalaza is located directly opposite the micropyle in a plant ovule. It represents the basal part where the nucellus and integuments merge.

Question 15

What is the surplus (in '000 quintals) of country A of years 2013 and 2014 taken together?

Accepted Answer

Identify the surplus values for country A in the years 2013 and 2014 from the given chart/table and add them together to get 131.

Question 16

Arrange the given words in the sequence in which they occur in the dictionary. 1. Counter 2. Crop 3. Create 4. Carnation 5. Creator 1. Counter 2. Crop 3. Create 4. Carnation 5. Creator

Accepted Answer

Comparing letter by letter, the dictionary order is Carnation (4), Counter (1), Create (3), Creator (5), and Crop (2). The sequence is 41352.

Question 17

In the following question, select the related word pair from the given alternatives. Canada : Ottawa : : ? : ?

Accepted Answer

Ottawa is the capital city of Canada. Similarly, Cairo is the capital city of Egypt. The relationship is Country : Capital.

Question 18

In each testes in a male reproductive system, there are ________ compartments called testicular lobules.

Accepted Answer

Each testis has about 250 compartments known as testicular lobules. Each lobule contains one to three highly coiled seminiferous tubules where sperms are produced.

Question 19

Bishnoi movement was started against which of the following?

Accepted Answer

The Bishnoi movement was initiated in the 18th century in Rajasthan by Amrita Devi and villagers to protect sacred Khejri trees from being cut down by the king's soldiers.

Question 20

Total trade of Year 1 is twice of the total trade of Year 5. If total trade of Year 1 is 5700 crore dollars, then what is the difference (in crore dollars) in exports of Year 1 and Year 5?

Accepted Answer

Year 1 trade = 5700. Year 5 trade = 5700 / 2 = 2850. Multiply these by their respective export shares from the provided chart, then find the difference to get 1632.