SSC CGL Undated PYQs

Question 1

________ is separated from India by a narrow channel of sea formed by Palk Strait and the Gulf of Mannar.

Accepted Answer

Sri Lanka is separated from the southern coast of India by the Palk Strait and the Gulf of Mannar, forming a narrow maritime boundary between the two nations.

Question 2

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

Accepted Answer

Substitute Cot 45° = 1 and Cosec 60° = 2/√3. The expression becomes 1/√2 + 2/3. Taking the LCM, we get (3 + 2√2) / 3√2.

Question 3

Divit's birthday is on Friday 30th June. On what day of the week will be Samar's Birthday in the same year if Samar was born on 15th November?

Accepted Answer

Calculate odd days from June 30 to Nov 15: July(3) + Aug(3) + Sept(2) + Oct(3) + Nov(1) = 12 days. 12 ÷ 7 leaves remainder 5. Friday + 5 days = Wednesday.

Question 4

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

Accepted Answer

Use the formula sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2). We get 2 sin(3θ) cos(2θ) = sin(3θ). Since sin(3θ) ≠ 0, cos(2θ) = 1/2, giving 2θ = 60° and θ = 30°.

Question 5

Which county was in the first rank in the 2016 Human Development Index published by the United Nations Development Programme?

Accepted Answer

Norway ranked first in the 2016 Human Development Index (HDI) released by UNDP, scoring highest in life expectancy, education, and per capita income indicators.

Question 6

What is the simplified value of [2/(cot A – tan A)]?

Accepted Answer

Convert cot A and tan A to cos/sin. The denominator becomes (cos²A - sin²A)/(sinA cosA) = cos 2A / (sinA cosA). The expression simplifies to (2 sinA cosA)/cos 2A = sin 2A / cos 2A = tan 2A.

Question 7

Other name of Platelets is?

Accepted Answer

Platelets are scientifically known as thrombocytes. They are tiny blood cells that help your body form clots to stop bleeding. Leucocytes are white blood cells, and erythrocytes are red blood cells.

Question 8

The average marks of 10 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 34 instead of 43. What is the correct average?

Accepted Answer

The difference in marks is 43 - 34 = +9. This increase of 9 is distributed among 10 students, adding 9/10 = 0.9 to the average. Correct average = 25 + 0.9 = 25.9.

Question 9

Himalayan mountain range falls under which type of mountains?

Accepted Answer

The Himalayas are young fold mountains formed by the collision of the Eurasian and Indo-Australian tectonic plates, causing the Earth's crust to fold upwards.

Question 10

If 19 (36) 13 and 37 (81) 28, then what is the value of 'A' in 43 (A) 38?

Accepted Answer

The pattern is the square of the difference between the outer numbers. (19-13)² = 36, (37-28)² = 81. So, (43-38)² = 5² = 25.

Question 11

'Wimbledon' is a place associated with which of the following sports?

Accepted Answer

Wimbledon is the oldest tennis tournament in the world, held annually in London. It is one of the four major Grand Slam tennis tournaments, famously played on grass courts.

Question 12

If PONDERS is coded as ONCDQR, then how will MAT be coded as?

Accepted Answer

Each letter in the word is shifted backward by one position in the alphabetical order (-1). Applying this to MAT: M-1 = L, A-1 = Z, T-1 = S.

Question 13

Which is the only one example of Mollusca Phylum?

Accepted Answer

Octopus belongs to the phylum Mollusca, characterized by soft bodies. Locusts, butterflies, and scorpions belong to the phylum Arthropoda, known for their jointed appendages.

Question 14

If 3 % 2 = 50, 2 % 4 = 60 then what is the value of 5 % 4 = ?

Accepted Answer

The pattern is (A + B) × 10. For 3 % 2, (3+2)×10 = 50. For 2 % 4, (2+4)×10 = 60. Thus, 5 % 4 = (5+4)×10 = 90.

Question 15

Pradhan Mantri Surakshit Matritwa Abhiyan provides facility of free health check-up and required treatment on _____ day of every month.

Accepted Answer

The Pradhan Mantri Surakshit Matritwa Abhiyan (PMSMA) guarantees a minimum package of antenatal care services to pregnant women on the 9th of every month.

Question 16

Which of the following stores data permanently in a computer?

Accepted Answer

ROM (Read-Only Memory) is non-volatile, meaning it retains its data even when the computer is powered off, making it permanent storage. RAM and Cache are volatile.

Question 17

Improve the bracketed part of the sentence. The equipment is (adapted to) cotton industries.

Accepted Answer

The correct preposition to use with 'adapted' when referring to purpose or suitability is 'for'. Thus, 'adapted for' is correct.

Question 18

In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

Accepted Answer

Cost price of the mixture = 42 / 1.2 = Rs 35/kg. Using alligation on the cost prices: (45 - 35) : (35 - 30) = 10 : 5 = 2 : 1.

Question 19

What is the sum of the ﬁrst 12 terms of an arithmetic progression if the ﬁrst term is -19 and last term is 36?

Accepted Answer

Use the AP sum formula: S = n/2 × (a + l). Here, n = 12, a = -19, and l = 36. So, S = 12/2 × (-19 + 36) = 6 × 17 = 102.

Question 20

If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?

Accepted Answer

The pattern is the sum of the squares of the numbers. A^2 + 8^2 + 9^2 = 289. So, A^2 + 145 = 289, which gives A^2 = 144, meaning A = 12.