SSC CGL Undated PYQs

Question 1

How many states does India have as of June 2017?

Accepted Answer

As of June 2017, India had 29 states. Telangana was formed as the 29th state in 2014. The number later reduced to 28 in 2019.

Question 2

In the following question, select the missing number from the given series. 3, 8, 5, 27, 8, 64, 12, 125, 17, ? 3, 8, 5, 27, 8, 64, 12, 125, 17, ?

Accepted Answer

The series alternates. Odd positions increase by +2, +3, +4, +5. Even positions are cubes of consecutive numbers: 2³, 3³, 4³, 5³. The missing number is 6³ = 216.

Question 3

Constituent Assembly of India was founded in the year ________.

Accepted Answer

The Constituent Assembly of India was formed in December 1946 under the Cabinet Mission Plan to draft the Constitution of India. Its first meeting was held on December 9, 1946.

Question 4

The melting point of ice is ____ K.

Accepted Answer

The melting point of ice is 0°C. To convert Celsius to Kelvin, we add 273.15. The exact triple point of water is 273.16 K, which is often used as the standard.

Question 5

If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

Accepted Answer

Guess values for a and b. Since ab = 6 and a³ + b³ = 35, a = 2 and b = 3 fit perfectly (8 + 27 = 35). Thus, a + b = 2 + 3 = 5.

Question 6

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

Accepted Answer

Use the algebraic identity a³ - b³ = (a - b)³ + 3ab(a - b). Substitute the given values: 2³ + 3(8)(2) = 8 + 48 = 56.

Question 7

Which type of forests majorly comprises of lichens and mosses? ?

Accepted Answer

Tundra biomes have extremely cold temperatures and permafrost, preventing large tree growth. Therefore, their vegetation is primarily limited to low-growing plants like mosses and lichens.

Question 8

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

Accepted Answer

The angle formed by two secants intersecting outside a circle is half the difference of the intercepted arcs. Thus, ∠PTQ = (Arc PQ - Arc RS) / 2 = (180° - 40°) / 2 = 70°.

Question 9

If 7x - (3/2) * (4x - 9) = 6.5, then the value of x is?

Accepted Answer

Expand the bracket: 7x - 6x + 13.5 = 6.5. Simplify to get x + 13.5 = 6.5. Subtracting 13.5 from both sides gives x = -7.

Question 10

Akshar remembers that the match is after 26th April but before 30th April, while Suresh remembers that the match is after 22nd April but before 28th April. On which date of April is the match?

Accepted Answer

Akshar's possible dates are 27, 28, 29. Suresh's possible dates are 23, 24, 25, 26, 27. The only common date satisfying both conditions is 27th April.

Question 11

What is the percentage increase in the number of audience in Screen 1 from second show to third show?

Accepted Answer

The audience doubled from the second to the third show. A 100% increase means the final value is exactly twice the initial value. Formula: ((Final - Initial) / Initial) × 100.

Question 12

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, then what is the area of the bigger circle which is not enclosed by the two smaller circles (in cm2)?

Accepted Answer

Bigger circle radius is 14 cm, area = 616 cm². Smaller circles have diameter 14 cm (radius 7 cm), area = 154 cm² each. Unenclosed area = 616 - 2(154) = 308 cm².

Question 13

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

Accepted Answer

Normal goods have a positive income elasticity of demand. As a consumer's income increases, their purchasing power rises, leading to a higher demand for these goods.

Question 14

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26 θ + cot100 θ?

Accepted Answer

Since tan θ - cot θ = 0, tan θ = cot θ, which means θ = 45°. Both tan 45° and cot 45° are 1. Thus, 1^26 + 1^100 = 1 + 1 = 2.

Question 15

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus? ?

Accepted Answer

Side a=6, smaller diagonal d1=6. Using d1² + d2² = 4a², we get 36 + d2² = 144, so d2 = 6√3. Area of the equilateral triangle = (√3/4) × (6√3)² = 27√3.

Question 16

What is the HCF of 6345 and 2160?

Accepted Answer

Find the prime factorization: 2160 = 2⁴×3³×5 and 6345 = 3³×5×47. The highest common factor is the product of the lowest powers of common primes: 3³×5 = 135.

Question 17

Which of the following is not among the three different forms of 'if' statement?

Accepted Answer

In programming, the standard conditional statements are 'if', 'if...else', and 'if...else if...else'. 'if...and' is not a valid conditional structure; 'and' is a logical operator used inside conditions.

Question 18

Improve the bracketed part of the sentence. I had (not only helped her by) giving hints but also with providing him links.

Accepted Answer

The correlative conjunction 'not only... but also' requires parallel structures. The correct placement is 'helped her not only by giving hints but also by providing links'.

Question 19

Select the odd word from the given alternatives. REGISTRATION NUMBER : EXAM DATE : 23-August-2017 EXAM NAME : SSC Examination TOTAL MARKS : 200 CANDIDATE NAME : EXAM START TIME : 13:15:00 EXAM DURATION  :  01:00 Hrs TOTAL NO OF QUESTIONS :  100 SSC CGL 2017 TIER I AUGUST 23, 2017 SHIFT 2 QUESTION PAPER 9/7/2017 Staff Selection Commision

Accepted Answer

Carrot, radish, and beet are root vegetables that grow underground. Brinjal is the only vegetable here that grows above the ground, making it the odd one out.

Question 20

How much tax (in Rs '000 crores) was paid by XYZ limited in Y7?

Accepted Answer

Based on the provided data chart or table for year Y7, the tax paid by XYZ limited is calculated or directly read as 118.8 thousand crore rupees.