SSC CGL Undated PYQs

Question 1

Δ ABC is right angled at B. If m∠A = 30o, what is the length of AB (in cm), if AC = 10 cm?

Accepted Answer

In right triangle ABC, cos(30°) = Base/Hypotenuse = AB/AC. So, √3/2 = AB/10, which gives AB = 5√3 cm.

Question 2

If A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1, then what is value of A : C : D?

Accepted Answer

Combine A:B = 2:5 and B:C = 4:3 to get A:B:C = 8:20:15. Then combine with C:D = 2:1 to get A:B:C:D = 16:40:30:15. Thus, A:C:D = 16:30:15.

Question 3

Which play of Shakespeare's was recently claimed to be dated wrongly?

Accepted Answer

Researchers recently claimed that Shakespeare's famous tragedy "Hamlet" was written earlier than traditionally believed, challenging the established chronological order of his works.

Question 4

In the following question, select the related word from the given alternatives. Frog : Amphibian : : Lizard : ?

Accepted Answer

Just as a frog belongs to the amphibian class of animals, a lizard belongs to the reptile class. Thus, reptile is the correct answer.

Question 5

A number is greater than 58 times its reciprocal by 3/4. What is the number?

Accepted Answer

Let the number be x. The equation is x - 58/x = 3/4. By checking the options, if x = 8, 8 - 58/8 = 8 - 29/4 = 3/4. Thus, 8 is correct.

Question 6

The salt concentration (measured as salinity in parts per thousand), is less than ______ % in inland waters.

Accepted Answer

Inland waters (freshwater bodies) typically have a salinity of less than 5 parts per thousand (ppt). In contrast, sea water is around 30-35 ppt.

Question 7

Animals in which the cells are arranged in two embryonic layers are called ________.

Accepted Answer

Animals with two embryonic layers (ectoderm and endoderm) are called diploblastic. Examples include sponges and cnidarians. Triploblastic animals have a third layer, the mesoderm.

Question 8

The collection of all possible combinations of the goods and services that can be produced from a given amount of resources and a given stock of technological knowledge is called the ____________ of the economy.

Accepted Answer

It represents the maximum potential output of an economy given its resources and technology, defining the production possibility set or frontier.

Question 9

In a row of 74 girls, Shweta is 27th from left end. Palak is 7th to the right of Shweta. What is Palak's position from the right end of the row?

Accepted Answer

Palak's position from the left = 27 + 7 = 34. Her position from the right end = Total - Left + 1 = 74 - 34 + 1 = 41.

Question 10

On the basis of distribution, resources can be classified into ____________?

Accepted Answer

Based on distribution, resources are classified as ubiquitous (found everywhere, like air) or localized (found in specific places). Actual and potential classifications are based on the level of development.

Question 11

Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?

Accepted Answer

Total weight = 3+5+7 = 15. Original price ∝ 15² = 225. New price ∝ 3² + 5² + 7² = 83. Loss = 225 - 83 = 142 units. 142 units = 42600, so 1 unit = 300. Original price = 225 × 300 = 67500.

Question 12

What is the value of the Least Distance of Distinct vision (in cm) for a normal human being?

Accepted Answer

For a normal human eye, the least distance of distinct vision is 25 cm. Objects closer than this appear blurred because the eye lens cannot accommodate further.

Question 13

19th SAARC Summit was planned to be held in November 2016 but it got postponed. Which country was its host?

Accepted Answer

The 19th SAARC Summit was scheduled to be held in Islamabad, Pakistan in November 2016. It was cancelled after India and other nations boycotted it following the Uri terror attack.

Question 14

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR? ?

Accepted Answer

Since PQ is the diameter, ∠PRQ = 90°. In ∆PRQ, ∠PQR = 180° - (90° + 38°) = 52°. For cyclic quadrilateral PQRS, opposite angles sum to 180°, so ∠PSR = 180° - 52° = 128°.

Question 15

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 16:9 and PQ = 3.6 cm, then what is the length(in cm) of XY?

Accepted Answer

For similar triangles, the ratio of perimeters equals the ratio of corresponding sides. So, XY/PQ = 16/9. Substituting PQ = 3.6 gives XY = (16/9) × 3.6 = 6.4 cm.

Question 16

What are isobars?

Accepted Answer

Isobars are atoms of different chemical elements that have the same mass number (total protons and neutrons) but different atomic numbers (protons). Example: Argon-40 and Calcium-40.

Question 17

In the following question, select the missing number from the given series. 13, 27, 56, 115, ?

Accepted Answer

The pattern is ×2+1, ×2+2, ×2+3, ×2+4. Following this, 115 × 2 + 4 = 230 + 4 = 234.

Question 18

___________ is the most ecologically relevant environmental factor.

Accepted Answer

Temperature is the most ecologically relevant environmental factor because it directly affects enzyme kinetics, thereby regulating the basal metabolism and physiological functions of all organisms.

Question 19

Which of the following is NOT a primary green house gas in the earth's atmosphere?

Accepted Answer

Primary greenhouse gases include water vapor, carbon dioxide, methane, nitrous oxide, and ozone. Hydrogen is not a greenhouse gas as it does not absorb infrared radiation in the atmosphere.

Question 20

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

Accepted Answer

Use the AP sum formula Sn = n/2(a + l). Here, n = 13, a = -10, and l = 26. So, Sum = 13/2(-10 + 26) = 13/2(16) = 13 × 8 = 104.