SSC CGL Undated PYQs

Question 1

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

Accepted Answer

Half of the common chord is 6 cm. The radii are 7.5 cm and 6.5 cm. Distances from centers to the chord are √(7.5² - 6²) = 4.5 and √(6.5² - 6²) = 2.5. Total distance = 4.5 + 2.5 = 7 cm.

Question 2

If 9x - [5(2x + 1)/2] = 9/2, then the value of x is?

Accepted Answer

Multiply the entire equation by 2 to remove fractions: 18x - 10x - 5 = 9. Simplifying gives 8x = 14, which reduces to x = 7/4.

Question 3

Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?

Accepted Answer

Let income be x. After 20% donation, remainder is 0.8x. He deposits 20% of this remainder, leaving 80% of 0.8x, which is 0.64x. Equating 0.64x = 12800 gives x = 20000.

Question 4

The reaction of Copper Sulphate and Iron produces Iron Sulphate and __________.

Accepted Answer

Iron is more reactive than copper, so it displaces copper from the copper sulphate solution, forming iron sulphate and solid copper in a single displacement reaction.

Question 5

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Accepted Answer

Since DE || BC, ΔADE ~ ΔABC. The ratio of their sides AD:AB is 1:5. The ratio of their areas is (1/5)² = 1/25. Thus, Area(BDEC) is 25 - 1 = 24, making the required ratio 1:24.

Question 6

Sycon (Scypha), Spongilla (Fresh water sponge) and Euspongia (Bath sponge) are examples of which Phylum?

Accepted Answer

Sycon, Spongilla, and Euspongia are all types of sponges. Sponges are pore-bearing multicellular animals that belong exclusively to the phylum Porifera.

Question 7

If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3 – 3abc?

Accepted Answer

Use the formula 1/2(a+b+c)[(a-b)²+(b-c)²+(c-a)²]. The sum (a+b+c) is 222, and the sum of squared differences is 6. Thus, 1/2 × 222 × 6 = 666.

Question 8

The ratio of present ages of Anil and Aakash is 4 : 5. Three years later their ages will be in ratio 7 : 8. What is the present age (in years) of Anil? ?

Accepted Answer

Let their present ages be 4x and 5x. After 3 years, (4x + 3)/(5x + 3) = 7/8. Solving this gives 3x = 3, so x = 1. Anil's present age is 4(1) = 4 years.

Question 9

A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

Accepted Answer

Let car speed be v, so train speed is 1.4v. Time difference: 140/v - 140/1.4v = 25/60 hours. Solving gives 40/v = 5/12, so v = 96. Train speed = 1.4 × 96 = 134.4 km/hr.

Question 10

In the following question, select the missing number from the given series. 2, 5, 17, 71, ?

Accepted Answer

The pattern is ×2+1, ×3+2, ×4+3. So, 2×2+1=5, 5×3+2=17, 17×4+3=71. The next term will be 71×5+4 = 355+4 = 359.

Question 11

Faiyaz's birthday is on Wednesday 12th April. On what day of the week will be Shray's Birthday in the same year if Shray was born on 2nd October?

Accepted Answer

Calculate days from April 12 to Oct 2: 18(Apr) + 31(May) + 30(Jun) + 31(Jul) + 31(Aug) + 30(Sep) + 2(Oct) = 173 days. 173 ÷ 7 leaves remainder 5. Wednesday + 5 = Monday.

Question 12

Select the related letters from the given alternatives. ILN : FIK :: RUW : ?

Accepted Answer

Each letter in the first term is shifted backward by 3 positions to get the second term (I-3=F, L-3=I, N-3=K). Applying the same to RUW gives ORT.

Question 13

Which country won the 2016 Men's Kabaddi World Cup?

Accepted Answer

India won the 2016 Men's Kabaddi World Cup by defeating Iran in the final match held in Ahmedabad. India has historically dominated this international tournament.

Question 14

Arrange the given words in the sequence in which they occur in the dictionary. 1. Yangtze 2. Yakking 3. Yakuzas 4. Yobbery 5. Yobbish 1. Yangtze 2. Yakking 3. Yakuzas 4. Yobbery 5. Yobbish

Accepted Answer

Compare letters alphabetically. 'Yakking' (2) comes first, followed by 'Yakuzas' (3), then 'Yangtze' (1). Between 'Yobbery' (4) and 'Yobbish' (5), 'e' comes before 'i', so 4 precedes 5. Order: 2, 3, 1, 4, 5.

Question 15

Which of the following country is not a member of BRICS association?

Accepted Answer

BRICS is an acronym for five major emerging economies: Brazil, Russia, India, China, and South Africa. Iceland is not a member of this association.

Question 16

Which tax causes a burden on the poorer section of the society?

Accepted Answer

Indirect taxes are levied on goods and services. They are regressive, meaning everyone pays the same amount regardless of income, placing a heavier relative burden on the poorer sections.

Question 17

A and B do (3/5)th part of a work and the rest of the work is completed by C. If A, B and C take the same work for Rs 5000, then what is the share of C (in Rs)?

Accepted Answer

C completes the remaining work, which is 1 - 3/5 = 2/5 of the total work. The share of C is proportional to the work done: (2/5) × 5000 = Rs 2000.

Question 18

The male sex organs in a flower is the __________.

Accepted Answer

The stamen is the male reproductive part of a flower, consisting of an anther (which produces pollen) and a filament. The pistil is the female part.

Question 19

Who invented the electrocardiogram (ECG)?

Accepted Answer

Willem Einthoven invented the first practical electrocardiogram (ECG) in 1903, a device used to record the electrical activity of the heart. He won a Nobel Prize for this.

Question 20

Select the related word from the given alternatives. Office : Colleagues :: Home : ?

Accepted Answer

Just as colleagues are the group of people you associate and work with in an office, family members are the group of people you live with at home.