SSC CGL Undated PYQs

Question 1

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 2

____________ 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 3

Blue Vitriol is another name for which of the following?

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 4

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 5

__________ 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 6

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 7

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 8

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 9

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 10

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 11

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 12

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.

Question 13

How many states does India have as of June 2017?

Accepted Answer

As of June 2017, India had 29 states. Telangana was formed as the 29th state in 2014. The number later reduced to 28 in 2019.

Question 14

In the following question, select the missing number from the given series. 3, 8, 5, 27, 8, 64, 12, 125, 17, ?

Accepted Answer

The series alternates. Odd positions increase by +2, +3, +4, +5. Even positions are cubes of consecutive numbers: 2³, 3³, 4³, 5³. The missing number is 6³ = 216.

Question 15

Constituent Assembly of India was founded in the year ________.

Accepted Answer

The Constituent Assembly of India was formed in December 1946 under the Cabinet Mission Plan to draft the Constitution of India. Its first meeting was held on December 9, 1946.

Question 16

The melting point of ice is ____ K.

Accepted Answer

The melting point of ice is 0°C. To convert Celsius to Kelvin, we add 273.15. The exact triple point of water is 273.16 K, which is often used as the standard.

Question 17

If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

Accepted Answer

Guess values for a and b. Since ab = 6 and a³ + b³ = 35, a = 2 and b = 3 fit perfectly (8 + 27 = 35). Thus, a + b = 2 + 3 = 5.

Question 18

If a - b = 2 and ab = 8, 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: 2³ + 3(8)(2) = 8 + 48 = 56.

Question 19

Which type of forests majorly comprises of lichens and mosses? ?

Accepted Answer

Tundra biomes have extremely cold temperatures and permafrost, preventing large tree growth. Therefore, their vegetation is primarily limited to low-growing plants like mosses and lichens.

Question 20

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

Accepted Answer

The angle formed by two secants intersecting outside a circle is half the difference of the intercepted arcs. Thus, ∠PTQ = (Arc PQ - Arc RS) / 2 = (180° - 40°) / 2 = 70°.