SSC CGL Undated PYQs

Question 1

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 2

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 3

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 4

If 14 (16) 18 and 33 (64) 25, then what is the value of ‘A’ in 25 (49) A? 9/8/2017 Staff Selection Commision

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 5

By what value (in %) the revenue from sale of product B in 2016 was greater than that of 2015?

Accepted Answer

Use the data from the given table. Calculate the percentage increase using the formula: ((Revenue in 2016 - Revenue in 2015) / Revenue in 2015) × 100 to get the correct percentage.

Question 6

In the following question, select the missing number from the given series. 13, 16, 11, 18, 9, 20, ? 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 7

_____________ is the number of individuals of the same species that have come into the habitat from elsewhere during the time period under consideration. 9/7/2017 Staff Selection Commision

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 8

Select the related number from the given alternatives. 55 : 11 :: 125 : ? 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 9

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 10

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 11

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 12

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 13

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 14

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.

Question 15

Which among the following country exited from Trans Pacific Partnership (TTP) in Jan 2017 ?

Accepted Answer

In January 2017, US President Donald Trump signed an executive order to formally withdraw the United States from the Trans-Pacific Partnership (TPP) trade deal.

Question 16

In the following question, select the related letter from the given alternatives. DE : O : : AF : ? DE : O : : AF : ?

Accepted Answer

The pattern is (D+E) = (4+5) = 9. O is the 15th letter. 9+6=15. So, for AF, (A+F) = (1+6) = 7. Adding 6 gives 13, which is K.

Question 17

Which among the following is/are female hormones? (i) Estrogen (ii) Progesterone (iii) Testosterone

Accepted Answer

Estrogen and progesterone are the primary female sex hormones responsible for the reproductive system. Testosterone is primarily a male sex hormone.

Question 18

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

Accepted Answer

Inferior goods have a negative income elasticity of demand. As a consumer's income increases, they purchase less of these goods and shift to higher-quality alternatives.

Question 19

What is the difference in number of shoes of Puma and Vans?

Accepted Answer

Identify the total number of Puma and Vans shoes from the provided data chart. Subtract the smaller value from the larger one to find the exact difference, which is 96.

Question 20

What is the common characteristic of the elements of the same group in the periodic table?

Accepted Answer

Elements in the same group of the periodic table have the same number of valence electrons (electrons in the outermost shell), which gives them similar chemical properties.