SSC CGL Undated PYQs

Question 1

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

Accepted Answer

Sum of ages: Ram+Rahim=36, Rahim+Ramesh=50, Ram+Ramesh=58. Total sum of all three = (36+50+58)/2 = 72. The eldest is Ramesh: 72 - (Ram+Rahim) = 72 - 36 = 36 years.

Question 2

PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ΔMQN is 48 cm2, then what is the length (in cm) of PR ?

Accepted Answer

Let the side of the square be a. MQ = a/2 and QN = a/3. Area of ΔMQN = 1/2 × a/2 × a/3 = a²/12 = 48. Thus, a = 24. Diagonal PR = a√2 = 24√2.

Question 3

Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?

Accepted Answer

Since ∠E = 90° and ∠D = 45°, ∠F must be 45°. Thus, cosecF = cosec(45°) = √2 and cotD = cot(45°) = 1. Their product is √2 × 1 = √2.

Question 4

The winning candidate got how many more votes than the one who came second?

Accepted Answer

Find the difference in votes or percentages between the first and second candidates from the given data chart, then calculate that difference from the total votes to get 6000.

Question 5

A spaceship travels at 1,260 km/h. How many metres does it travel in 1/10 th of a second?

Accepted Answer

Convert speed to m/s: 1260 × (5/18) = 350 m/s. Distance in 1/10 second = Speed × Time = 350 × (1/10) = 35 metres.

Question 6

If area of country B is 20,00,000 sq km, what is its population?

Accepted Answer

Based on the associated data chart (not provided here), apply the population density or ratio for country B to its area (20,00,000) to calculate the correct population of 10,00,000.

Question 7

While selling an article for Rs 18450, a person suffered a loss of 50%. At what price he should have sold the article (in Rs) to earn a profit of 50%?

Accepted Answer

A 50% loss means Rs 18450 is 50% of the cost price. Thus, CP = 18450 × 2 = 36900. For a 50% profit, the new selling price is 150% of CP, which is 36900 × 1.5 = 55350.

Question 8

If 40% of x = y, then y% of 40 is same as _____ of x.

Accepted Answer

Given y = 0.4x. We need y% of 40, which is 0.4y. Substituting y gives 0.4 * 0.4x = 0.16x, which is exactly 16% of x.

Question 9

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 10

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 11

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 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

___________ 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 20

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.