SSC CGL Undated PYQs

Question 1

The ratio of present ages of R and S is 11:17. Before 11 years the ratio of their ages was 11:20. What is R's present age (in years)?

Accepted Answer

Let present ages be 11x and 17x. (11x - 11) / (17x - 11) = 11/20. Solving gives 220x - 220 = 187x - 121, so 33x = 99, x = 3. R's age = 11(3) = 33.

Question 2

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

Accepted Answer

Let side be a. Circumcircle area = πa²/3, incircle area = πa²/12. Sum = 5πa²/12 = 770. Solving gives a² = 588. Triangle area = (√3/4)a² = 147√3.

Question 3

If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?

Accepted Answer

Let B's marks be 100, then A's marks are 120. The difference is 20. The percentage by which B is less than A is (20/120) × 100 = 16.66%.

Question 4

Δ DEF is right angled at E. If m ∠D = 30°. What is the length (in cm) of DE, if EF = 2√3 cm?

Accepted Answer

In right ΔDEF, tan(D) = EF / DE. So, tan(30°) = 2√3 / DE. Since tan(30°) = 1/√3, we get DE = 2√3 × √3 = 6 cm.

Question 5

On which principle does the hydraulic lift works? ?

Accepted Answer

Hydraulic lifts work on Pascal's law, which states that pressure applied to an enclosed fluid is transmitted equally and undiminished to every part of the fluid.

Question 6

In a certain code language, "who are you" is written as "432", "they is you" is written as "485" and "they are dangerous" is written as "295". How is "dangerous" written in that code language?

Accepted Answer

Comparing the sentences, 'you' = 4, 'are' = 2, and 'they' = 5. In 'they are dangerous' (295), removing 5 and 2 leaves 9 as the code for 'dangerous'.

Question 7

What is the simplified value of (cosec4 A – cot2 A) – (cot4 A + cosec2 A)?

Accepted Answer

Rearrange to (cosec^4 A - cot^4 A) - (cosec^2 A + cot^2 A). Using a^2 - b^2 and cosec^2 A - cot^2 A = 1, it simplifies to (cosec^2 A + cot^2 A) - (cosec^2 A + cot^2 A) = 0.

Question 8

In the following question, select the missing number from the given series. 21, 26, 33, 42, 53, ?

Accepted Answer

The differences between consecutive terms are consecutive odd numbers: +5, +7, +9, +11. The next difference is +13. So, 53 + 13 = 66.

Question 9

What is the absolute difference in the B.Tech.'s who have filled the form and M.B.A.'s who were present in the examination?

Accepted Answer

Extract the total number of B.Tech students who filled the form from the data. Then find the MBA students actually present. Subtracting these two values gives the absolute difference of 4050000.

Question 10

A chord of length 60 cm is at a distance of 16 cm from the centre of a circle. What is the radius (in cm) of the circle?

Accepted Answer

The perpendicular from the center bisects the chord. Half-chord = 30 cm. Using Pythagoras theorem, radius = √(30² + 16²) = √(900 + 256) = √1156 = 34 cm.

Question 11

Gurkiran's birthday is on Sunday 21st May. On what day of the week will be Shreyas's Birthday in the same year if Shreyas was born on 14th November?

Accepted Answer

Days from May 21 to Nov 14: May(10) + Jun(30) + Jul(31) + Aug(31) + Sep(30) + Oct(31) + Nov(14) = 177 days. 177 ÷ 7 leaves remainder 2. Sunday + 2 = Tuesday.

Question 12

What are the main components of Brass Alloy?

Accepted Answer

Brass is a widely used alloy primarily composed of copper and zinc. The proportion of zinc can be varied to create different types of brass with varying properties.

Question 13

In MICR, what does 'I' stands for? ?

Accepted Answer

MICR stands for Magnetic Ink Character Recognition. It is a character-recognition technology used mainly by the banking industry to ease the processing and clearance of cheques.

Question 14

Which of the following country has co-sponsored 'Cobra Gold' – an annual multilateral military exercise alongwith Thailand?

Accepted Answer

'Cobra Gold' is one of the largest multinational military exercises in the Asia-Pacific region, held annually in Thailand and co-sponsored by the USA and Thailand to enhance regional security.

Question 15

If 56M4 is completely divisible by 11, then what is the value of M?

Accepted Answer

For a number to be divisible by 11, the difference of sums of alternating digits must be 0 or a multiple of 11. Here, (6+4) - (5+M) = 10 - 5 - M = 5 - M. Thus, M = 5.

Question 16

A series is given, with one word missing. Choose the correct alternative from the given ones that will complete the series. master, ember, bombay, animal, abdomen, ?

Accepted Answer

In each successive word, the position of the letter 'm' shifts one place to the right (1st, 2nd, 3rd, 4th, 5th). The next word must have 'm' at the 6th position, which is 'deform'.

Question 17

Which among the following metal is used for galvanization?

Accepted Answer

Galvanization is the process of applying a protective zinc coating to steel or iron to prevent rusting. Thus, zinc is the correct metal used.

Question 18

Classes comprising animals like ﬁshes, amphibians, reptiles, birds along with mammals constitute the category called?

Accepted Answer

Fishes, amphibians, reptiles, birds, and mammals are all classes that belong to the subphylum Vertebrata, which falls under the Phylum Chordata. Phylum is the rank above class.

Question 19

Improve the bracketed part of the sentence. She is not used (to sleep) for so long.

Accepted Answer

The phrase 'be used to' is followed by a gerund (verb + -ing) when it means 'accustomed to'. Therefore, 'to sleeping' is the correct form.

Question 20

The frictional force exerted by fluids is also called ________.

Accepted Answer

Fluids (liquids and gases) exert a resistive force on objects moving through them. This fluid friction is scientifically termed as drag, which opposes the object's relative motion.