SSC CGL Undated PYQs

Question 1

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

Accepted Answer

Slope m = (-4 - (-1)) / (4 - 5) = -3 / -1 = 3. Since parallel lines have identical slopes, the required slope is also 3.

Question 2

If the cost of total spending on transport for the seminar was Rs 9 lakhs and the cost of hosting the students was Rs 15000 per student then what was the ratio of hosting cost of all the students to that of spending on transport?

Accepted Answer

Using the chart data (assuming 90 students), total hosting cost = 90 × 15,000 = Rs 13.5 lakhs. The ratio of hosting to transport = 13.5 lakhs : 9 lakhs = 3:2.

Question 3

32% of a number exceeds 17% of the same number by 120. What is the value of the number?

Accepted Answer

The difference in percentages is 32% - 17% = 15%. This 15% corresponds to 120. Therefore, 1% = 120 / 15 = 8. The original number (100%) is 8 × 100 = 800.

Question 4

In April 2017, to address growing unemployment, which country has abolished the 457 Visa Programme used by thousands of temporary foreign workers, a majority of them Indians?

Accepted Answer

In April 2017, Australia abolished the 457 visa program to tackle domestic unemployment. It was replaced by the Temporary Skill Shortage (TSS) visa, prioritizing Australian workers.

Question 5

A, B and C are three students. A got 18% more marks than B and 12% less than C. If B got 220 marks, then how much marks C has got? ?

Accepted Answer

B = 220. A gets 18% more, so A = 220 × 1.18 = 259.6. A is 12% less than C, meaning A = 0.88 × C. Thus, C = 259.6 / 0.88 = 295.

Question 6

Which one of the following is not a type of coal?

Accepted Answer

Anthracite, lignite, and peat are different types of coal based on carbon content. Siderite is an iron ore (iron carbonate), not coal.

Question 7

What is the equation of a line having a slope -1/3 and y-intercept equal to 6?

Accepted Answer

The equation of a line is y = mx + c. Here, m = -1/3 and c = 6. Substituting these gives y = -x/3 + 6, which simplifies to x + 3y = 18.

Question 8

If Sin θ = 20/29, then what is the value of Cos θ?

Accepted Answer

Sin θ = 20/29 (Perpendicular/Hypotenuse). Using Pythagoras theorem, Base = √(29² - 20²) = √441 = 21. Therefore, Cos θ = Base/Hypotenuse = 21/29.

Question 9

Reflection from a smooth surface like that of a mirror is called ___________ reflection.

Accepted Answer

When light rays hit a smooth surface like a mirror, they reflect parallel to each other in a definite direction. This is known as regular reflection.

Question 10

In which sport did India win Silver medal at Rio Olympics 2016?

Accepted Answer

PV Sindhu won the silver medal in women's singles badminton at the 2016 Rio Olympics, becoming the first Indian woman to achieve this feat at the Olympic Games.

Question 11

Which Fundamental Right in the Indian Constitution includes abolition of untouchability?

Accepted Answer

Article 17 of the Indian Constitution abolishes untouchability. It falls under the 'Right to Equality' (Articles 14-18), ensuring equal treatment and prohibiting discrimination based on caste.

Question 12

What is the simpliﬁed value of sec4 θ – sec2 θ tan2 θ?

Accepted Answer

Factor out sec²θ to get sec²θ(sec²θ - tan²θ). Using the standard trigonometric identity sec²θ - tan²θ = 1, the expression simplifies to sec²θ(1) = sec²θ.

Question 13

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 14

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 15

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 16

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 17

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 18

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 19

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 20

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.