SSC CGL Undated PYQs

Question 1

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

Accepted Answer

Take sec θ common and simplify the fractions. The numerator becomes 2 sec θ and the denominator becomes sec² θ - 1, which is tan² θ. Simplifying 2 sec² θ / tan² θ gives 2 cosec² θ.

Question 2

Arrange the given words in the sequence in which they occur in the dictionary. 1. Decollete 2. Desecrate 3. Decorous 4. Desipicable 5. Destitute 1. Decollete 2. Desecrate 3. Decorous 4. Desipicable 5. Destitute

Accepted Answer

Compare the letters alphabetically. 'Deco' comes first (Decollete, Decorous), followed by 'Dese', 'Desi', and 'Dest'. Thus, the correct dictionary order is 1, 3, 2, 4, 5.

Question 3

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

Accepted Answer

Use the identity (a+b)³ = a³+b³ + 3ab(a+b). Let x = a+b, then x³ = 19 - 18x, which simplifies to x³ + 18x - 19 = 0. Clearly, x = 1 satisfies this equation.

Question 4

Select the odd word from the given alternatives.

Accepted Answer

Tyre, bangle, and compact disk are all circular in shape. However, a book is typically rectangular or cuboidal, making it the odd one out in this group.

Question 5

A ___________ deﬁcit is ﬁnanced by net capital ﬂows from the rest of the world, thus by a capital account surplus.

Accepted Answer

A current account deficit means a country imports more than it exports. It is balanced by a capital account surplus, representing net capital inflows from foreign investments and loans.

Question 6

Who among the following has been awarded the 'Rajiv Gandhi Khel Ratna Award' for the year 2016?

Accepted Answer

In 2016, shooter Jitu Rai was awarded the Rajiv Gandhi Khel Ratna Award along with PV Sindhu, Dipa Karmakar, and Sakshi Malik for his outstanding performance in shooting.

Question 7

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

Accepted Answer

Let the fraction be x. The equation is x + 3/x = 19/4. Testing option 1 (3/4): 3/4 + 3(4/3) = 3/4 + 4 = 19/4. It satisfies the condition.

Question 8

A few organisms can tolerate and thrive in a narrow range of temperatures. Such organisms are called ___________.

Accepted Answer

Organisms restricted to a narrow temperature range are called stenothermal. In contrast, eurythermal organisms can tolerate a wide range of temperatures.

Question 9

"Young Girls" is the famous work of which painter?

Accepted Answer

"Young Girls" is a famous 1932 oil painting by Indian-Hungarian painter Amrita Shergill. It won her a gold medal in Paris and marked her major breakthrough in the art world.

Question 10

The weights of 4 boxes are 30, 40, 50 and 100 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

Check combinations: 190 = 100+50+40. 180 = 100+50+30. 140 = 100+40. However, 160 cannot be formed using any subset of {30, 40, 50, 100}.

Question 11

The average of four consecutive odd numbers is 64. What is the value of largest number?

Accepted Answer

Let the four consecutive odd numbers be x, x+2, x+4, and x+6. Their average is x+3 = 64, giving x = 61. The largest number is 61 + 6 = 67.

Question 12

Teach Text' is a text editor in which of the following operating systems?

Accepted Answer

'TeachText' was a simple text editor created by Apple Computer, included with System 7.1 and earlier versions of the Macintosh operating system.

Question 13

If (x/y) + (y/x) = 1, then what is the value of x3 + y3?

Accepted Answer

Simplify the given equation to x^2 + y^2 = xy, which means x^2 - xy + y^2 = 0. Since x^3 + y^3 = (x+y)(x^2 - xy + y^2), the result is 0.

Question 14

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

Accepted Answer

Convert the fractions to approximate decimals: 5/113 ≈ 0.044, 7/120 ≈ 0.058, 13/145 ≈ 0.089, and 17/160 ≈ 0.106. Clearly, 17/160 has the highest value.

Question 15

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

Accepted Answer

The word 'SANCTION' does not contain the letter 'E'. Therefore, the word 'STONE' cannot be formed using its letters.

Question 16

Which Fundamental Right in the Indian Constitution states that every person has the right to practice, profess and propagate the religion of their choice.

Accepted Answer

Article 25 of the Indian Constitution guarantees the Right to Freedom of Religion, allowing all citizens to freely profess, practice, and propagate the religion of their choice.

Question 17

During uniform motion of an object along a straight line, the ________ remains constant with time.

Accepted Answer

In uniform motion along a straight line, an object covers equal distances in equal time intervals. Therefore, its velocity remains constant, and its acceleration is zero.

Question 18

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Accepted Answer

Use the identity tan(90° - θ) = cot θ. tan 84° becomes cot 6° and tan 54° becomes cot 36°. Since tan θ × cot θ = 1 and tan 45° = 1, the product is 1.

Question 19

In how many years were the net exports more than that of the previous year?

Accepted Answer

Analyze the provided data chart. Carefully compare each year's net exports with the immediately preceding year. Count only the instances where the current year's value is strictly greater. There are exactly 2 such years.

Question 20

Which of the following country doesn't matches to its famous tourist place?

Accepted Answer

Padmanabhaswamy Temple is located in Thiruvananthapuram, Kerala, India, not in Sri Lanka. The other three pairs correctly match the country with its famous landmark.