SSC CGL Undated PYQs

Question 1

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

Accepted Answer

Relative speed in opposite directions = 43 + 51 = 94 km/h. Convert to m/s: 94 × 5/18. Length of slower train = Relative speed × time = (94 × 5/18) × 9 = 235 m.

Question 2

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

Accepted Answer

Use the parallelogram law: 2(AB² + BC²) = AC² + BD². Substituting the values gives 2(49 + 81) = 64 + BD², so BD² = 196, making BD = 14 cm.

Question 3

_____________ is the number of deaths in the population during a given period.

Accepted Answer

Mortality refers to the number of deaths in a population over a specific period. In contrast, natality refers to the number of births.

Question 4

Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?

Accepted Answer

The area of 4 walls of a cuboid is 2(l + b)h. Given 2(18 + b) × 8 = 448. Solving this: 16(18 + b) = 448, so 18 + b = 28, which gives b = 10 cm.

Question 5

The average weight of P, Q and R is 45 kg. If the average weight of P and Q be 36.5 kg and that of Q and R be 52 kg, then what is the weight (in kgs) of Q?

Accepted Answer

Total weight of P+Q+R = 45 × 3 = 135 kg. P+Q = 36.5 × 2 = 73 kg. Q+R = 52 × 2 = 104 kg. Q = (P+Q) + (Q+R) - (P+Q+R) = 73 + 104 - 135 = 42 kg.

Question 6

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

Accepted Answer

Use the slope formula m = (y2 - y1) / (x2 - x1). Here, -4/3 = (3 - (-5)) / (-5 - x). Solving gives -4/3 = 8 / (-5 - x), so 20 + 4x = 24, meaning x = 1.

Question 7

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

Accepted Answer

Area of 4 walls = 2(l + b)h. Given 2(15 + b) × 8 = 400. So, 16(15 + b) = 400, which gives 15 + b = 25. Thus, b = 10 cm.

Question 8

If Cosec θ = 25/7 , then what is the value of Cot θ?

Accepted Answer

Cosec θ = Hypotenuse/Opposite = 25/7. Using the Pythagorean triplet (7, 24, 25), the adjacent side is 24. Therefore, Cot θ = Adjacent/Opposite = 24/7.

Question 9

'Neo-Malthusian Theory' is associated with which of the following?

Accepted Answer

Neo-Malthusian theory argues that rapid population growth will outpace agricultural production and available resources, ultimately leading to severe resource scarcity and environmental degradation.

Question 10

Which key is used to move to next line in a Ms-Word document?

Accepted Answer

In MS Word, pressing the Enter key inserts a paragraph break, moving the cursor to the beginning of the next line.

Question 11

In the following question, select the related word from the given alternatives. Mathematics : Formulas : : Chemistry : ?

Accepted Answer

Just as mathematics is fundamentally based on formulas to solve problems, chemistry relies heavily on chemical reactions to understand and describe processes.

Question 12

Which among the following is used to treat Indigestion?

Accepted Answer

Antacids are mild bases, such as magnesium hydroxide, that neutralize excess stomach acid. This neutralization process provides quick relief from indigestion and heartburn.

Question 13

A] The author of the novel 'The Corrections' is Jonathan Franzen. B] The author of the novel 'A Visit from the Goon Squad' is Edward P Jones. C] The author of the novel 'Forty Thieves' is Thomas Perry. Which of the statements given above are correct?

Accepted Answer

Statements A and C are correct. Statement B is incorrect because the novel 'A Visit from the Goon Squad' was actually written by Jennifer Egan, not Edward P Jones.

Question 14

In the following question, select the odd word pair from the given alternatives.

Accepted Answer

Dates are recorded in a calendar, notes in a notebook, and entries in accounts. All are written records. Milk is a physical product obtained from a dairy, making it the odd one out.

Question 15

What is the name of the scheme for the Employees State Insurance Corporation (ESIC) beneficiaries launched in Delhi region?

Accepted Answer

The 'Kahin Bhi Kabhi Bhi' scheme was launched by ESIC in Delhi to allow beneficiaries to seek primary healthcare services at any ESIC dispensary, regardless of their registered location.

Question 16

Cinnamon is obtained from which part of the plant?

Accepted Answer

Cinnamon is a popular spice obtained from the inner bark of several tree species belonging to the genus Cinnamomum. The bark is peeled and dried to form rolls.

Question 17

Sumitra remembers that her mother's birthday is after 13th February but before 16th February but her brother remembers that his mother's birthday is after 14th February but before 17th February. On which date Sumitra's mother's birthday will be celebrated?

Accepted Answer

According to Sumitra, the possible dates are 14th and 15th. According to her brother, the possible dates are 15th and 16th. The only common date satisfying both conditions is 15th February.

Question 18

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

Accepted Answer

In ΔPQR, ∠Q = 90° and ∠R = 30°. Therefore, ∠P = 180° - (90° + 30°) = 60°. The value of Cot P is Cot 60° = 1/√3.

Question 19

Who discovered the Cholera causing germ?

Accepted Answer

Filippo Pacini first discovered the cholera bacterium (Vibrio cholerae) in 1854. Robert Koch later independently identified it in 1883, but Pacini was the first.

Question 20

In the following question, select the related number from the given alternatives. 9143 : 9963 : : 6731 : ?

Accepted Answer

The sum of the digits of 9143 is 17, and for 9963 it is 27. Similarly, the digit sum of 6731 is 17, so the next number must have a digit sum of 27. 8+9+6+4 = 27.