SSC CGL Undated PYQs

Question 1

From the given alternative words, select the word which cannot be formed using the letters of the given word: ELABORATE ELABORATE

Accepted Answer

The word 'ELABORATE' does not contain the letter 'U'. Therefore, the word 'BRUTAL' cannot be formed using its letters.

Question 2

With which country India celebrated its 25th year of diplomatic ties in 2017?

Accepted Answer

India and Israel established full diplomatic relations in 1992. Therefore, in 2017, both nations celebrated the 25th anniversary of their diplomatic ties, marked by PM Modi's historic visit.

Question 3

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

Accepted Answer

Let first term be a and common difference d. a+4d=7 and a+8d=13. Solving gives d=1.5 and a=1. The 15th term is a+14d = 1+14(1.5) = 22.

Question 4

An item is sold at two successive gains of 30% and 20%. If the ﬁnal selling price is Rs 31200, then what is the cost price (in Rs)?

Accepted Answer

Let CP be x. Successive gains of 30% and 20% mean x × 1.30 × 1.20 = 31200. This gives 1.56x = 31200, so x = 31200 / 1.56 = 20000.

Question 5

What is the area (in sq cm) of an equilateral triangle of side 10 cm?

Accepted Answer

The area of an equilateral triangle is given by the formula (√3/4) × a². Here, a = 10. So, Area = (√3/4) × 100 = 25√3 sq cm.

Question 6

If 27x + 27[x–(1/3)] = 972, then what is the value of x? ?

Accepted Answer

Substitute x = 2 into the equation: 27^2 + 27^(2 - 1/3) = 729 + 27^(5/3) = 729 + 243 = 972. This satisfies the given equation perfectly.

Question 7

If 23@5=56; 6@7=26; 5@2=14; then what is the value of 7@5=?

Accepted Answer

The pattern is (A + B) × 2. For 7@5, add 7 and 5 to get 12, then multiply by 2 to get 24.

Question 8

The simple and compound interest that can be earned in two years at the same rate is Rs 1,000 and Rs 1,040 respectively. What is the rate (percent per annum) of interest?

Accepted Answer

SI for 1 year is Rs 500. The difference between CI and SI for 2 years is Rs 40, which is the interest on the first year's SI. Rate = (40/500) × 100 = 8%.

Question 9

The later (second) formed primary xylem elements are called _____________.

Accepted Answer

Primary xylem consists of protoxylem and metaxylem. The first formed elements are called protoxylem, while the later formed primary xylem elements are known as metaxylem.

Question 10

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

Accepted Answer

Let CP = 100. With 60% profit, SP = 160. Since discount is 20%, MP = 160 / 0.8 = 200. At 40% discount, new SP = 120. Profit = 20%.

Question 11

Convex mirror is generally used in _____.

Accepted Answer

Convex mirrors diverge light and provide a wider field of view, making them ideal for rear-view mirrors in vehicles to safely monitor traffic behind.

Question 12

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

Accepted Answer

Given Sin θ = Perpendicular/Hypotenuse = 20/29. Base = √(29² - 20²) = √441 = 21. Therefore, Sec θ = Hypotenuse/Base = 29/21.

Question 13

If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?

Accepted Answer

Volume is proportional to r²h. A 25% increase in radius makes r² become 25/16. To keep volume constant, height must become 16/25, which is a reduction of 9/25 or 36%.

Question 14

50% of others who have filled the form are B. Arch. and 45% of others who were present in the exam are B. Arch. How many B. Arch. candidates did not gave the exam?

Accepted Answer

Calculate the total B.Arch candidates who filled the form using the 50% data, then subtract the 45% of present B.Arch candidates to find those who missed the exam.

Question 15

What is the slope of the line perpendicular to the line passing through the points (3 , -2) and (4 , 2)?

Accepted Answer

The slope of the line through (3, -2) and (4, 2) is (2 - (-2))/(4 - 3) = 4. The perpendicular line's slope is the negative reciprocal, -1/4.

Question 16

The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

Accepted Answer

Current total age = 5 × 24 = 120. Total age 8 years ago = 120 - (5 × 8) = 80. Average of the 4 members then = 80 / 4 = 20 years.

Question 17

In the following question, select the missing number from the given series. 19, 11, 13, 16, 15, 17, 13, 19, 21, ?

Accepted Answer

The sequence consists of three interleaved series. The first series (1st, 4th, 7th terms) is 19, 16, 13, decreasing by 3. The next term is 13 - 3 = 10.

Question 18

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". I would love to come to your party! Thank you for (invites) me.

Accepted Answer

The preposition 'for' must be followed by a gerund (verb + -ing) when it acts as the object of the preposition. Thus, 'inviting' is the correct form.

Question 19

Improve the bracketed part of the sentence. He jumped off the train while it (had been running).

Accepted Answer

The action of jumping happened while the train was in continuous motion. Past continuous tense ('was running') correctly describes an ongoing action in the past.

Question 20

Doldrums pressure belts lies in between which of the following latitudes?

Accepted Answer

The Doldrums, or equatorial low-pressure belt, lies between 5° North and 5° South latitudes. It is characterized by calm, light winds due to intense heating at the equator.