SSC CGL Undated PYQs

Question 1

If Candidate A is disqualified then which candidate will be declared the winner?

Accepted Answer

If the top candidate A is disqualified, the candidate with the second-highest number of valid votes in the given data, which is F, will naturally be declared the winner.

Question 2

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

Accepted Answer

Since DE || BC, ΔADE ~ ΔABC. The ratio of sides AD:AB = 2:5, so the area ratio is (2/5)² = 4/25. Area of ΔADE = 16. Area of BDEC = 100 - 16 = 84.

Question 3

PET is a very familiar form of _____________. It is used for making bottles.

Accepted Answer

PET stands for Polyethylene terephthalate, which is a common thermoplastic polymer resin of the polyester family. It is widely used to manufacture plastic bottles and containers.

Question 4

In Animal Kingdom classification, which of the following is not a Phylum?

Accepted Answer

Coelomates are animals that possess a true body cavity (coelom); it is a structural classification, not a phylum. Mollusca, Chordata, and Annelida are actual phyla.

Question 5

If a - b = 10 and ab =-21, then what is the value of a3 - b3?

Accepted Answer

Use the algebraic identity a^3 - b^3 = (a - b)^3 + 3ab(a - b). Substituting the given values: 10^3 + 3(-21)(10) = 1000 - 630 = 370.

Question 6

For an article the profit is 190% of the cost price. If the cost price increase by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)? ?

Accepted Answer

Let CP = 100. Profit = 190, so SP = 290. New CP = 110, SP remains 290. New Profit = 180. Profit % on SP = (180/290) × 100 ≈ 62%.

Question 7

What is the area (in sq cm) of a regular hexagon of side 6 cm? 9/7/2017 Staff Selection Commision

Accepted Answer

The area of a regular hexagon is given by (3√3/2) × a². Substituting a = 6 cm, we get (3√3/2) × 36 = 54√3 sq cm.

Question 8

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?

Accepted Answer

Rewrite as x-y = 3√2-1 and x+y = 3√2+1. Then x²-y² = (3√2-1)(3√2+1) = 17. Also xy = [(x+y)²-(x-y)²]/4 = 3√2. Thus, 12xy(x²-y²) = 12 × 3√2 × 17 = 612√2.

Question 9

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

Accepted Answer

sin^8 θ + cos^8 θ = 1 simplifies to 1 - 4sin^2 θ cos^2 θ + 2sin^4 θ cos^4 θ = 1. This gives 2sin^2 θ cos^2 θ (sin^2 θ cos^2 θ - 2) = 0. Since the maximum value of sin^2 θ cos^2 θ is 1/4, it must be 0.

Question 10

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 – 3x + 2) / (3x4 + 3)?

Accepted Answer

Divide numerator and denominator by x^2 to get [2(x^2+1/x^2) + 3(x-1/x) + 13] / [3(x^2+1/x^2)]. Since x-1/x=3, x^2+1/x^2=11. Substituting gives (22+9+13)/33 = 44/33 = 4/3.

Question 11

If Cos θ = 35/37, then what is the value of Cosec θ?

Accepted Answer

Cos θ = base/hypotenuse = 35/37. Using Pythagoras theorem, perpendicular = √(37² - 35²) = 12. Cosec θ = hypotenuse/perpendicular = 37/12.

Question 12

According to the categories of land mentioned in the Chola inscriptions ___________ was known as the land donated to Jaina institutions?

Accepted Answer

In Chola inscriptions, Pallichchhandam refers to land donated to Jaina institutions. Brahmadeya was for Brahmanas, Shalabhoga for schools, and Vellanvagai for non-Brahmana peasants.

Question 13

the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1 : All wheat are grain. Statement 2 : Some wheat are flour. Conclusion I : Some grain are flour. Conclusion II : Some flour are wheat.

Accepted Answer

Since all wheat are grain and some wheat are flour, the overlapping part of wheat and flour is also grain, making conclusion I true. Conclusion II is the direct converse of statement 2, so it is also true.

Question 14

Which Fundamental Right in the Indian Constitution allows citizens to move the court if they believe that any of their Fundamental Rights have been violated by the State?

Accepted Answer

Article 32 guarantees the Right to Constitutional Remedies, allowing citizens to directly approach the Supreme Court to seek enforcement of their Fundamental Rights if violated.

Question 15

Which among the following Mughal Emperor was illiterate?

Accepted Answer

Akbar was the only Mughal emperor who was illiterate. Despite his lack of formal education, he was a great patron of art, literature, and architecture.

Question 16

______________ scheme launched by the Central Government plans to issue soil cards to farmers which will carry crop-wise recommendations of nutrients and fertilisers.

Accepted Answer

The Soil Health Card scheme provides farmers with soil nutrient status and crop-wise fertilizer recommendations to improve productivity and maintain soil health.

Question 17

In which city was Ariana Grande performing in when her concert was hit by a terrorist attack in May 2017?

Accepted Answer

On May 22, 2017, a tragic suicide bombing occurred at the Manchester Arena in Manchester, England, immediately following an Ariana Grande concert, claiming 22 lives.

Question 18

Who appoints Governor of a state in India? ?

Accepted Answer

Under Article 155 of the Constitution, the Governor of a state is appointed directly by the President of India by warrant under his hand and seal.

Question 19

In animals like Annelids, Molluscs, organs have associated to form functional systems, each system concerned with a specific physiological function. This pattern is called ________ system level of organization.

Accepted Answer

When organs combine to form functional systems (like digestive or respiratory) to perform specific physiological functions, it is termed the 'organ system' level of organization.

Question 20

The bending of light when it passes around a corner or a slit is due to ______.

Accepted Answer

Diffraction is the phenomenon where light waves bend around the sharp edges of an obstacle or slit, spreading out into the region of its geometrical shadow.