SSC CGL Undated PYQs

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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°.

Question 15

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

Accepted Answer

Let the number be x. Then (35+x)/(115+x) = (53+x)/(165+x). Checking options, if x=10, we get 45/125 = 9/25 and 63/175 = 9/25. Both ratios match.

Question 16

In the following question, correct the given equation by interchanging two numbers. 8 x 3 ÷ 4 + 9 – 5 = 16 8 x 3 ÷ 4 + 9 – 5 = 16

Accepted Answer

By interchanging 5 and 3, the equation becomes 8 × 5 ÷ 4 + 9 - 3. Using BODMAS: 8 × 1.25 = 10. Then 10 + 9 - 3 = 16, which is correct.

Question 17

The weights of 4 boxes are 20, 90, 40 and 60 kilograms. Which of the following cannot be the total weight,in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Accepted Answer

The total weight of all boxes is 20+90+40+60 = 210 kg. Possible combinations include 170 (90+60+20) and 190 (90+60+40). However, no combination of these weights adds up to exactly 200 kg.

Question 18

If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2? ?

Accepted Answer

Divide the given equation by 3 to get a - 1/a = 1. Using the identity, a³ - 1/a³ = (1)³ + 3(1) = 4. (Note: The expression a³ - 1/a³ is 4, though adding 2 gives 6).

Question 19

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

Accepted Answer

For equal distances, average speed is calculated using the formula 2xy/(x+y). Here, it is (2 × 30 × 20) / (30 + 20) = 1200 / 50 = 24 km/hr.

Question 20

Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =

Accepted Answer

Since angle E is 90° and angle D is 45°, angle F must be 45°. The value of Cosec 45° is √2.