SSC CGL Undated PYQs

Question 1

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 2

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 3

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 4

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 5

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 6

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.

Question 7

The incident ray, the _________ at the point of incidence and the reflected ray all lie in the same plane.

Accepted Answer

According to the first law of reflection, the incident ray, the reflected ray, and the normal to the surface at the point of incidence all lie in the same plane.

Question 8

What is the difference (in '000 quintals) in average production and average sales respectively of country C in the given four years?

Accepted Answer

Calculate the total production and total sales for country C over the four years. Find their averages by dividing by 4. Subtract average sales from average production to get -252.25.

Question 9

Number of work visas issued were more than those issued in the previous years in how many years?

Accepted Answer

Analyze the given data graph and compare each year's visa count with the preceding year. Count the exact number of instances where the current year's value is strictly greater.

Question 10

Which type of forest is most widespread in India?

Accepted Answer

Tropical deciduous forests, also known as monsoon forests, are the most widespread in India. They thrive in regions receiving 70-200 cm of rainfall, covering major parts of the country.

Question 11

The weights of 4 boxes are 20, 30, 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 150 kg. To get 140 kg, we would need to exclude a 10 kg box, which doesn't exist. Thus, 140 kg is impossible.

Question 12

With which country has India signed an agreement for assistance in green and sustainable construction of infrastructure in the Himalayan Kingdom in December, 2016?

Accepted Answer

In December 2016, India signed an MoU with Bhutan to provide technical assistance for green and sustainable infrastructure construction, reflecting their strong bilateral ties in the Himalayan region.

Question 13

Prime Minister of which country attended the recently organised river festival 'Namami Brahmaputra' in India?

Accepted Answer

Bhutan's then Prime Minister Tshering Tobgay attended the 'Namami Brahmaputra' festival in 2017. It was organized in Assam to showcase the river's economic potential and celebrate its cultural heritage.

Question 14

If the total population of City 4 is 600000, then how many literate people are there in city 4? ?

Accepted Answer

Based on the given data chart, the literacy rate for City 4 is 63%. Therefore, the number of literate people is 63% of 600,000, which equals 378,000.

Question 15

If 18% of M.B.B.S. who have filled the form are from XYZ University, then how many M.B.B.S. candidates from XYZ University have filled the form?

Accepted Answer

Based on the provided data chart, find the total number of M.B.B.S. candidates (which is 6,800,000). Calculate 18% of this total: 6800000 × 0.18 = 1,224,000.

Question 16

There are total _________ parliamentary seats (Lok Sabha constituency) in Uttarakhand.

Accepted Answer

Uttarakhand has a total of 5 Lok Sabha constituencies. These are Tehri Garhwal, Garhwal, Almora, Nainital-Udhamsingh Nagar, and Haridwar. It also has 3 Rajya Sabha seats.

Question 17

Which of the following "writ" of the High Court or the Supreme Court is issued to restrain a person from holding a public ofﬁce which he is not entitled to?

Accepted Answer

Quo Warranto literally means 'by what authority'. It is issued by the courts to prevent the illegal usurpation of a public office by an individual.

Question 18

If sec2 θ + tan2 θ = 5/3, then what is the value of tan 2θ?

Accepted Answer

Substitute sec²θ = 1 + tan²θ to get 1 + 2tan²θ = 5/3. Solving gives tanθ = 1/√3, so θ = 30°. Thus, tan 2θ = tan 60° = √3.

Question 19

Which of the following is not true about a Demand Draft?

Accepted Answer

A Demand Draft is a prepaid instrument where the bank guarantees payment. Unlike a regular cheque, it cannot bounce or be dishonoured due to insufficient funds.

Question 20

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

Accepted Answer

The sum of the positional values of the first two letters equals the third letter. B(2)+N(14)=P(16). But G(7)+I(9)=16(P), not R(18).