SSC CGL Undated PYQs

Question 1

If x2+ y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

Accepted Answer

The given condition x2 + y2 + z2 = xy + yz + zx implies x = y = z. Substituting y and z with x in the expression gives (7x + 3x - 5x)/5x = 5x/5x = 1.

Question 2

In March 2017, in which country was "world's largest artificial sun" switched on?

Accepted Answer

In March 2017, Germany switched on 'Synlight', the world's largest artificial sun. It uses 149 giant xenon short-arc lamps to simulate sunlight for producing climate-friendly solar fuels like hydrogen.

Question 3

Which article was referred to as the 'the heart and soul' of the constitution by Dr. B. R. Ambedkar?

Accepted Answer

Article 32 provides the right to constitutional remedies, allowing citizens to approach the Supreme Court to protect fundamental rights. Hence, Dr. Ambedkar called it the heart and soul.

Question 4

Who invented the waterproof raincoat?

Accepted Answer

Scottish chemist Charles Macintosh invented the waterproof raincoat in 1823. He achieved this by sandwiching a layer of liquid rubber between two pieces of fabric, making it impermeable to water.

Question 5

If Pujara has scored 1875 runs in total, then what is the difference in runs scored by Pujara against South Africa and New Zealand? ?

Accepted Answer

Based on the given data chart, the difference in percentage between South Africa and New Zealand is 8%. Calculating 8% of the total 1875 runs gives (8/100) × 1875 = 150 runs.

Question 6

The ratio of present ages of L and N is 7 : 5. If the age of N after seven years will be 32 years, then what is the present age (in years) of L?

Accepted Answer

N's present age is 32 - 7 = 25 years. Since the ratio of L to N is 7:5, 5 units = 25, so 1 unit = 5. L's present age is 7 × 5 = 35 years.

Question 7

Energy in the form of heat is wasted when a machine is operated. This heat is generated due to ___________.

Accepted Answer

When machine parts move against each other, friction opposes the motion, converting kinetic energy into wasted heat energy.

Question 8

Who invented the electric tram?

Accepted Answer

Fyodor Pirotsky, a Ukrainian-born engineer, invented the world's first electric tram in 1880. He successfully tested it in Saint Petersburg, revolutionizing urban public transportation.

Question 9

Who was the pioneer of Chipko movement of 1973?

Accepted Answer

Sunderlal Bahuguna was the pioneer of the 1973 Chipko movement in Uttarakhand. He led the peaceful protest to protect forests by hugging trees to prevent them from being cut down.

Question 10

In which battle was Siraj ud–Daulah defeated by Lord Clive?

Accepted Answer

Siraj ud-Daulah, the Nawab of Bengal, was defeated by the British East India Company led by Robert Clive in the Battle of Plassey on June 23, 1757.

Question 11

If tan2 θ + cot2 θ = 2, then what is the value of 2sec θ cosec θ?

Accepted Answer

Given tan²θ + cot²θ = 2, we get (tanθ - cotθ)² = 0, so tanθ = cotθ, meaning θ = 45°. Thus, 2sec(45°)cosec(45°) = 2(√2)(√2) = 4.

Question 12

In the following question, select the missing number from the given series. 3, 7, 16, 35, ? 3, 7, 16, 35, ?

Accepted Answer

The pattern is multiply by 2 and add consecutive integers: 3×2+1=7, 7×2+2=16, 16×2+3=35. So, the next number is 35×2+4 = 74.

Question 13

The force exerted by a magnet is an example of _________.

Accepted Answer

A magnet can exert a pull or push on magnetic materials from a distance without physically touching them, making it a non-contact force.

Question 14

If the ___________ firm has zero costs or only has fixed cost, the quantity supplied in equilibrium is given by the point where the marginal revenue is zero.

Accepted Answer

For a monopoly with zero marginal cost, profit maximization (MR = MC) occurs where MR = 0. The firm produces up to this point to maximize its total revenue.

Question 15

___________ is obtained by evaporation of sea. 9/7/2017 Staff Selection Commision

Accepted Answer

Seawater contains a high concentration of dissolved minerals, primarily sodium chloride. When seawater evaporates under the sun, the water turns into vapor, leaving solid salt crystals behind.

Question 16

Two cars A and B travel from one city to another, at speeds of 35 km/hr and 45 km/hr respectively. If car B takes 2 hours lesser time than car A for the journey, then the distance (in kms) between the two cities is?

Accepted Answer

Let distance be D. The time difference is D/35 - D/45 = 2. Solving this gives 10D / (35 × 45) = 2, which simplifies to D = 315 km.

Question 17

A woman in a shopping complex walks 150 m East, then she turns North and walks 180 m, then she turns West and walks 70 m, then she turns to her left and walks 180 m. Where is she now with reference to her starting position?

Accepted Answer

She goes 150m East, 180m North, 70m West, then turns left (South) for 180m. The North and South distances cancel out. She is 150 - 70 = 80m East of the start.

Question 18

∆ ABC is right angled at B. If m∠A = 30°., then Sec C =?

Accepted Answer

In right ∆ABC, ∠B = 90° and ∠A = 30°, so ∠C = 180° - 120° = 60°. The value of Sec 60° is 2.

Question 19

Nasir's birthday is on Thursday 18th May. On what day of the week will be Rehan's Birthday in the same year if Rehan was born on 19th August?

Accepted Answer

Days from May 18 to Aug 19: May(13) + Jun(30) + Jul(31) + Aug(19) = 93 days. 93 divided by 7 leaves a remainder of 2. Thursday + 2 = Saturday.

Question 20

A car travels 17 km South, then turns East and travels 11 km, then turns North and travels 9 km, then turns to its left and travels 11 km. Where is the car now with reference to its starting position?

Accepted Answer

The car goes 17 km South, 11 km East, 9 km North, and 11 km West (left turn). The East-West distances cancel out. Net distance is 17 - 9 = 8 km South.