SSC CGL Undated PYQs

Question 1

Select the related letters from the given alternatives. DGI : JMO :: RUW : ?

Accepted Answer

Each letter in the first term is shifted forward by 6 positions (+6) to get the second term. Applying +6 to RUW gives XAC.

Question 2

A trader allowed a discount of 15% on a trolley bag having list price of Rs 1360 and earns a profit of 15.6%. What is the cost price (in Rs) of the trolley bag?

Accepted Answer

Selling price = 1360 × 0.85 = Rs 1156. Since profit is 15.6%, Cost price = 1156 / 1.156 = Rs 1000.

Question 3

If 1 saree is offered free on purchase of 3 sarees, what is the effective discount on each saree?

Accepted Answer

Total sarees received = 3 (purchased) + 1 (free) = 4. The discount percentage is calculated on the total items: (1 / 4) × 100 = 25%.

Question 4

The weights of 4 boxes are 30, 70, 60 and 20 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Accepted Answer

The maximum possible weight by combining all boxes is 30 + 70 + 60 + 20 = 180 kg. Therefore, a total weight of 190 kg is impossible to achieve.

Question 5

Mahila Police volunteer scheme to be implemented in all states of the country has been launched on pilot basis firstly in which state?

Accepted Answer

The Mahila Police Volunteer scheme was first launched on a pilot basis in Haryana (Karnal and Mahendragarh districts) in December 2016 to bridge the gap between police and civil society.

Question 6

If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

Accepted Answer

The maximum number of intersection points for n lines in a plane is n(n-1)/2. For 4 lines, the maximum is 4(3)/2 = 6. Therefore, 7 intersection points are impossible.

Question 7

A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?

Accepted Answer

A covers 90m in 3s. Relative speed is 20m/s, so B catches A in 90/20 = 4.5s. Distance each travels is 50 × 4.5 = 225m. Total distance = 225 + 225 = 450m.

Question 8

What is the value of Cot 45° - (1/√3)Cosec 60°?

Accepted Answer

Substitute the standard trigonometric values: Cot 45° = 1 and Cosec 60° = 2/√3. The expression becomes 1 - (1/√3) × (2/√3) = 1 - 2/3 = 1/3.

Question 9

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

Accepted Answer

Since A is the midpoint and lines are parallel, B and C are midpoints of PQ and PR. ABPC is a parallelogram with all sides 9 cm. Perimeter = 4 × 9 = 36 cm.

Question 10

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

Accepted Answer

In right triangle OAP, ∠OAP = 90°. Thus, ∠APO = 180° - (90° + 50°) = 40°. Since tangents subtend equal angles, ∠APB = 2 × ∠APO = 80°.

Question 11

If 14 (16) 18 and 33 (64) 25, then what is the value of ‘A’ in 25 (49) A?

Accepted Answer

The middle number is the square of the difference between the outer numbers. So, |25 - A| = √49 = 7. Thus, A can be 25 + 7 = 32 or 25 - 7 = 18.

Question 12

In the following question, select the missing number from the given series. 13, 16, 11, 18, 9, 20, ?

Accepted Answer

The series consists of two alternating sequences. The first sequence (13, 11, 9, ?) decreases by 2 each time. Thus, the next term is 9 - 2 = 7.

Question 13

_____________ is the number of individuals of the same species that have come into the habitat from elsewhere during the time period under consideration.

Accepted Answer

Immigration refers to the inward movement of individuals of a species into a new habitat. Emigration is outward movement, while natality and mortality refer to birth and death rates.

Question 14

Select the related number from the given alternatives. 55 : 11 :: 125 : ?

Accepted Answer

The second number is obtained by dividing the first number by 5 (55 ÷ 5 = 11). Similarly, 125 ÷ 5 = 25.

Question 15

Night Blindness is caused by deficiency of which of the following Vitamin? ?

Accepted Answer

Night blindness is caused by a deficiency of Vitamin A. This vitamin is essential for producing rhodopsin, a pigment in the retina that helps you see in low light conditions.

Question 16

What is the value of 20% of 500% of 50?

Accepted Answer

Convert percentages to fractions: (20/100) × (500/100) × 50. This simplifies to (1/5) × 5 × 50. The 5s cancel out, leaving exactly 50.

Question 17

The demand for a normal good decreases with ________ in the consumer's income.

Accepted Answer

For normal goods, demand is directly proportional to income. If a consumer's income decreases, their purchasing power drops, leading to a decrease in the demand for such goods.

Question 18

In the first 45 overs of a 50 over innings, the run rate was 5.8 runs per over. What is the required run rate in the remaining overs to reach the target of 295 runs?

Accepted Answer

Runs scored in 45 overs = 45 × 5.8 = 261. Runs needed = 295 - 261 = 34. Remaining overs = 50 - 45 = 5. Required run rate = 34 / 5 = 6.8.

Question 19

The temperature at which a solid melts to become a liquid at the atmospheric pressure is called its ___________.

Accepted Answer

The melting point is the specific temperature at which a solid changes its state to a liquid at standard atmospheric pressure by overcoming its intermolecular forces.

Question 20

Improve the bracketed part of the sentence. (Being a pleasant evening), we went out for a long drive on a highway.

Accepted Answer

The original sentence has a dangling participle. 'Being a pleasant evening' needs a subject. 'It' correctly introduces the absolute phrase, making the sentence grammatically sound.