SSC CGL Undated PYQs

Question 1

In the following question, select the related letters from the given alternatives. NPBG : OQCH : : AJOT : ? NPBG : OQCH : : AJOT : ?

Accepted Answer

Each letter in the first term is shifted forward by 1 position (+1) to get the second term. Applying +1 to AJOT gives BKPU.

Question 2

Select the correct option: Convert decimal 99 to binary.

Accepted Answer

Divide 99 by 2 repeatedly and record the remainders. Alternatively, 99 = 64 + 32 + 2 + 1. In binary, this is 2^6 + 2^5 + 2^1 + 2^0, which gives 1100011.

Question 3

The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options. P-But he did not know how to ﬁnd one at that hour. Q-It was his ﬁrst visit to the city and he didn't know where to go. R-Mohanlal's train was late and it reached Kolkata a little after midnight. S-He thought he would go to a choultry where he would not have to pay rent.

Accepted Answer

Sentence R introduces Mohanlal's arrival. Q explains his unfamiliarity. S describes his plan, and P presents the challenge. This sequence forms a logical narrative flow.

Question 4

The diagonal of a square is 10 cm. What is the length (in cm) of its side?

Accepted Answer

The diagonal of a square is side × √2. Given diagonal = 10, so side = 10 / √2. Rationalizing the denominator gives (10√2) / 2 = 5√2 cm.

Question 5

In a certain code language, "BIOLOGY" is written as "YRLOLTB". How is "PHYSICS" written in that code language?

Accepted Answer

Each letter is replaced by its opposite letter in the English alphabet (e.g., B-Y, I-R). Applying this to PHYSICS gives K, S, B, H, R, X, H.

Question 6

Who built the Konark''s Sun Temple?

Accepted Answer

The Konark Sun Temple in Odisha was built in the 13th century by King Narasimhadeva I of the Eastern Ganga dynasty. It is famous for its chariot-like architecture.

Question 7

____________ scheme by the Central Government aims at setting up an organized rural Panchayat in order to make the villages more self-sustained.

Accepted Answer

'Gram Uday Se Bharat Uday Abhiyan' was launched to strengthen Panchayati Raj institutions and promote rural development, aiming to make villages self-sustained and prosperous.

Question 8

If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of x + y + z – 5?

Accepted Answer

Since the sum of squares is zero, each term must be zero. Thus, x = 2, y = -3, and z = 15. Substituting these gives 2 - 3 + 15 - 5 = 9.

Question 9

A spaceship travels at 810 km/hr. How many metres does it travel in 1/5th of a second?

Accepted Answer

Convert speed to m/s by multiplying 810 by 5/18 to get 225 m/s. Multiply this by the time (1/5 s) to find the distance: 225 × 1/5 = 45 metres.

Question 10

A woman walks 3 km North, then turns West and walks 4 km, then turns South and walks 7 km, then turns to her left and walks 4 km. Where is she now with reference to her starting position?

Accepted Answer

She goes 3 km North, 4 km West, 7 km South, and 4 km East (left turn from South). East-West cancels out. Net vertical movement is 3 - 7 = -4 km, meaning 4 km South.

Question 11

Bhavin's birthday is on Monday 29th May. On what day of the week will be Rachit's Birthday in the same year if Rachit was born on 17th November?

Accepted Answer

Total days from May 29 to Nov 17: May(2) + Jun(30) + Jul(31) + Aug(31) + Sep(30) + Oct(31) + Nov(17) = 172 days. 172 ÷ 7 leaves remainder 4. Monday + 4 = Friday.

Question 12

Who invented the Centigrade scale?

Accepted Answer

Swedish astronomer Anders Celsius invented the Centigrade (Celsius) temperature scale in 1742, basing it on the freezing and boiling points of water.

Question 13

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

Accepted Answer

Relative speed in opposite directions = 43 + 51 = 94 km/h. Convert to m/s: 94 × 5/18. Length of slower train = Relative speed × time = (94 × 5/18) × 9 = 235 m.

Question 14

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

Accepted Answer

Use the parallelogram law: 2(AB² + BC²) = AC² + BD². Substituting the values gives 2(49 + 81) = 64 + BD², so BD² = 196, making BD = 14 cm.

Question 15

_____________ is the number of deaths in the population during a given period.

Accepted Answer

Mortality refers to the number of deaths in a population over a specific period. In contrast, natality refers to the number of births.

Question 16

Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?

Accepted Answer

The area of 4 walls of a cuboid is 2(l + b)h. Given 2(18 + b) × 8 = 448. Solving this: 16(18 + b) = 448, so 18 + b = 28, which gives b = 10 cm.

Question 17

The average weight of P, Q and R is 45 kg. If the average weight of P and Q be 36.5 kg and that of Q and R be 52 kg, then what is the weight (in kgs) of Q?

Accepted Answer

Total weight of P+Q+R = 45 × 3 = 135 kg. P+Q = 36.5 × 2 = 73 kg. Q+R = 52 × 2 = 104 kg. Q = (P+Q) + (Q+R) - (P+Q+R) = 73 + 104 - 135 = 42 kg.

Question 18

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

Accepted Answer

Use the slope formula m = (y2 - y1) / (x2 - x1). Here, -4/3 = (3 - (-5)) / (-5 - x). Solving gives -4/3 = 8 / (-5 - x), so 20 + 4x = 24, meaning x = 1.

Question 19

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

Accepted Answer

Area of 4 walls = 2(l + b)h. Given 2(15 + b) × 8 = 400. So, 16(15 + b) = 400, which gives 15 + b = 25. Thus, b = 10 cm.

Question 20

If Cosec θ = 25/7 , then what is the value of Cot θ?

Accepted Answer

Cosec θ = Hypotenuse/Opposite = 25/7. Using the Pythagorean triplet (7, 24, 25), the adjacent side is 24. Therefore, Cot θ = Adjacent/Opposite = 24/7.