SSC CGL Undated PYQs

Question 1

If (x/y) + (y/x) = 1, then what is the value of x3 + y3?

Accepted Answer

Simplify the given equation to x^2 + y^2 = xy, which means x^2 - xy + y^2 = 0. Since x^3 + y^3 = (x+y)(x^2 - xy + y^2), the result is 0.

Question 2

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

Accepted Answer

Convert the fractions to approximate decimals: 5/113 ≈ 0.044, 7/120 ≈ 0.058, 13/145 ≈ 0.089, and 17/160 ≈ 0.106. Clearly, 17/160 has the highest value.

Question 3

From the given words, select the word which cannot be formed using the letters of the given word. SANCTION SANCTION

Accepted Answer

The word 'SANCTION' does not contain the letter 'E'. Therefore, the word 'STONE' cannot be formed using its letters.

Question 4

Which Fundamental Right in the Indian Constitution states that every person has the right to practice, profess and propagate the religion of their choice.

Accepted Answer

Article 25 of the Indian Constitution guarantees the Right to Freedom of Religion, allowing all citizens to freely profess, practice, and propagate the religion of their choice.

Question 5

During uniform motion of an object along a straight line, the ________ remains constant with time.

Accepted Answer

In uniform motion along a straight line, an object covers equal distances in equal time intervals. Therefore, its velocity remains constant, and its acceleration is zero.

Question 6

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Accepted Answer

Use the identity tan(90° - θ) = cot θ. tan 84° becomes cot 6° and tan 54° becomes cot 36°. Since tan θ × cot θ = 1 and tan 45° = 1, the product is 1.

Question 7

In how many years were the net exports more than that of the previous year?

Accepted Answer

Analyze the provided data chart. Carefully compare each year's net exports with the immediately preceding year. Count only the instances where the current year's value is strictly greater. There are exactly 2 such years.

Question 8

Which of the following country doesn't matches to its famous tourist place?

Accepted Answer

Padmanabhaswamy Temple is located in Thiruvananthapuram, Kerala, India, not in Sri Lanka. The other three pairs correctly match the country with its famous landmark.

Question 9

The marked price of an article is 20% more than its cost price. If 5% discount is given on the marked price, then what is the profit percentage?

Accepted Answer

Let CP = 100. Then MP = 120. A 5% discount on 120 is 6, making the SP = 114. Profit is 114 - 100 = 14, so profit percentage is 14%.

Question 10

____________ means that the President of India can refer any matter that is of public importance or that which involves interpretation of Constitution to Supreme Court for advice.

Accepted Answer

Under Article 143 of the Constitution, the President has the power to seek the Supreme Court's opinion on questions of law or fact of public importance. This is known as Advisory Jurisdiction.

Question 11

Blue Vitriol is another name for which of the following? 9/7/2017 Staff Selection Commision

Accepted Answer

Blue Vitriol is the common name for copper(II) sulphate pentahydrate (CuSO4·5H2O). It is widely known for its bright blue crystals and is used as a fungicide and pesticide.

Question 12

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

Accepted Answer

Let Sahil's age be S and Nihal's be N. S - 7 = N. Also, (S - 5) + (N + 6) = 58. Solving gives S = 32. Ruchi's present age = 32 + 4 = 36. After 10 years, 36 + 10 = 46.

Question 13

__________ refers to the number of births during a given period in the population that are added to the initial density.

Accepted Answer

Natality refers to the birth rate within a population over a specific period, which directly increases the initial population density. Mortality decreases it, while immigration relates to movement.

Question 14

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

Accepted Answer

For an equilateral triangle, circumradius R = a/√3 and inradius r = a/(2√3). The difference is a/(2√3). With a=12, difference = 12/(2√3) = 6/√3 = 2√3 cm.

Question 15

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?

Accepted Answer

Since distance is constant, S1 × T1 = S2 × T2. So, 40 × 25 = S2 × 20, making the new speed 50 km/hr. The required increase is 50 - 40 = 10 km/hr.

Question 16

The areas of two similar triangles ΔXYZ and ΔPQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?

Accepted Answer

The ratio of areas of similar triangles equals the square of the ratio of their corresponding sides. So, 100/25 = (XY/4)². This gives 4 = XY²/16, meaning XY² = 64, hence XY = 8 cm.

Question 17

What is the value of 9991 x 10009?

Accepted Answer

Use the identity (a-b)(a+b) = a² - b². Rewrite as (10000 - 9)(10000 + 9). This equals 10000² - 9², which is 100000000 - 81 = 99999919.

Question 18

At 20% discount the selling price of an article is Rs 2400, what is the selling price (in Rs) if the discount is 32.5%?

Accepted Answer

Let Marked Price be MP. 80% of MP = 2400, so MP = 3000. The new selling price at 32.5% discount is 67.5% of 3000, which equals 2025.

Question 19

Amazon river flows through which of the following country? ?

Accepted Answer

The Amazon River is located in South America. It primarily flows through Brazil, Peru, and Colombia, making Brazil the correct answer among the given options.

Question 20

Process of loosing electrons is known as _____.

Accepted Answer

Oxidation is the chemical process where an atom, molecule, or ion loses one or more electrons, resulting in an increase in its oxidation state.