SSC CGL Undated PYQs

Question 1

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

Accepted Answer

Taking the LCM gives [(1 + tan θ) - (1 - tan θ)] / (1 - tan² θ) = 2 tan θ / (1 - tan² θ), which is the standard identity for tan 2θ.

Question 2

Who administers the oath of the President of India?

Accepted Answer

According to Article 60 of the Constitution, the Chief Justice of India administers the oath of office to the President. In their absence, the senior-most judge of the Supreme Court does so.

Question 3

In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

Accepted Answer

Find the cost price of the mixture: CP = 324 / 1.2 = Rs 270/kg. Using alligation on 240 and 280 with a mean of 270 gives the ratio (280-270):(270-240) = 10:30 = 1:3.

Question 4

What is the reason for formation of Mirage in desert?

Accepted Answer

A mirage occurs due to the continuous refraction of light through air layers of varying temperatures, followed by total internal reflection when the angle of incidence exceeds the critical angle.

Question 5

In male reproductive system, the testes are situated outside the abdominal cavity within a pouch called __________.

Accepted Answer

The testes are located outside the abdominal cavity in a pouch called the scrotum. It helps maintain a lower temperature necessary for optimal sperm production.

Question 6

From the given words, select the word which cannot be formed using the letters of the given word. SYMBOLIC SYMBOLIC

Accepted Answer

The word 'SYMBOLIC' does not contain the letter 'A'. Therefore, the word 'BASIC' cannot be formed using its letters.

Question 7

If 7x1=12; 5x4=2; 6x4=4; then what is the value of 7x4 = ?

Accepted Answer

The pattern is 2(a - b). For 7x1, 2(7-1) = 12. For 5x4, 2(5-4) = 2. Therefore, for 7x4, it will be 2(7-4) = 6.

Question 8

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

Accepted Answer

Let first term be a and common difference be d. a+2d=19 and a+5d=37. Solving gives 3d=18 so d=6, a=7. The 13th term is a+12d = 7+12(6) = 79.

Question 9

Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

Accepted Answer

If every number in a dataset is multiplied by a constant, the average is also multiplied by that same constant. Therefore, the new average is 7 × 2 = 14.

Question 10

Short run marginal cost curve cuts the short run average cost curve from _______ at the minimum point of short run average cost.

Accepted Answer

In economics, the short-run marginal cost (SMC) curve always intersects the short-run average cost (SAC) curve from below at its lowest point, pulling the average cost up thereafter.

Question 11

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

Accepted Answer

The net decrease in total weight is 42 - 30 = 12 kg. The average decreases by 36 - 35.7 = 0.3 kg. Number of boys = Total decrease / Average decrease = 12 / 0.3 = 40.

Question 12

Diﬀerence between the total runs scored against Australia and New Zealand and the total runs scored against Sri Lanka and Pakistan make what sectorial angle (in degrees) in the pie chart?

Accepted Answer

Based on the provided answer, the difference in runs corresponds to 20% of the total. Since 100% equals 360°, 20% is calculated as (20/100) × 360° = 72°.

Question 13

A difference between 2 longitudes at equator is nearby equivalent to _____ km.

Accepted Answer

The Earth's circumference at the equator is about 40,075 km. Dividing this by 360 degrees gives approximately 111.3 km per degree of longitude.

Question 14

Short run marginal cost curve cuts the average variable cost curve from _______ at the minimum point of average variable cost.

Accepted Answer

The short-run marginal cost (SMC) curve always intersects the average variable cost (AVC) curve from below at its lowest point, as marginal cost pulls the average in its direction.

Question 15

In April 2017, Emma Morano, the world’s oldest woman has passed away at the age of 117. Which country was she from?

Accepted Answer

Emma Morano was an Italian supercentenarian. Born in 1899, she was officially the last living person verified to have been born in the 1800s before her death in Italy in 2017.

Question 16

The diﬀerence between the runs scored against England and Pakistan is same as the diﬀerence between which of the following two countries?

Accepted Answer

Find the difference in runs scored against England and Pakistan from the given chart. Compare this value with the difference for each option pair. Australia and New Zealand will match this exact difference.

Question 17

The first formed primary xylem elements are called ___________.

Accepted Answer

The first formed primary xylem elements are called protoxylem, while the later formed primary xylem is called metaxylem. Protoxylem typically has narrower vessels.

Question 18

Which among the following is also called as 'power house of the cell'?

Accepted Answer

Mitochondria generate most of the chemical energy needed to power the cell's biochemical reactions, stored in ATP. Hence, they are known as the powerhouse of the cell.

Question 19

Improve the bracketed part of the sentence. I left my job because I did not (agree to) the company's appraisal policies.

Accepted Answer

When expressing agreement with a person, idea, or policy, the correct preposition to use is 'with'. Therefore, 'agree with' is the appropriate phrase.

Question 20

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

Accepted Answer

The central angle for Problem Solving is 10% of the total angle excluding Arithmetic. Based on the given data, 10% of the remaining 194.4° gives 19.44°.