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Staff Selection Commission Combined Graduate Level Exam

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Question : If $x^2+\frac{1}{x^2}=7$, then the value of $x^3+\frac{1}{x^3}$ where x > 0 is equal to:

Option 1: 18

Option 2: 12

Option 3: 15

Option 4: 16

Team Careers360 12th Jan, 2024

Correct Answer: 18


Solution : If $x^2+\frac{1}{x^2}=7$, then the value of $x^3+\frac{1}{x^3}$ where x > 0 is equal to:
$(x+\frac{1}{x})^2 = x^2+2+ (\frac{1}{x})^2$
⇒ $(x+\frac{1}{x})^2 = 2+7$
⇒ $(x+\frac{1}{x})^2 = 9$
⇒ $(x+\frac{1}{x}) = 3$
⇒ $(x+\frac{1}{x})^3 = 3^3$
⇒ $x^3 + (\frac{1}{x})^3+3x\frac{1}{x}(x+\frac{1}{x}) = 27$
⇒ $x^3 + (\frac{1}{x})^3+3(3) =

23 Views

Question : Which of the following is not soluble in water?

Option 1: Lead sulphate

Option 2: Zinc sulphate

Option 3: Potassium sulphate

Option 4: Sodium sulphate

Team Careers360 23rd Jan, 2024

Correct Answer: Lead sulphate


Solution : The correct option is Lead sulphate.

Lead sulphate is considered insoluble in water and forms a solid precipitate when lead ions (Pb²⁺) and sulphate ions (SO₄²⁻) combine in a solution. The other compounds mentioned—zinc sulphate (ZnSO4), potassium sulphate (K2SO

19 Views

Question : Directions: In a certain code language, DENTIST is written as CDMSHRS, and TOOTH is written as SNNSG. How will HEALING be written in that language?

Option 1: IFBMJOH

Option 2: GDZMJOH

Option 3: IFBKHMF

Option 4: GDZKHMF

Team Careers360 23rd Jan, 2024

Correct Answer: GDZKHMF


Solution : Given:
DENTIST is written as CDMSHRS, and TOOTH is written as SNNSG.

On subtracting 1 from the place value of the letters of the word DENTIST, we get –
D – 1 = C; E – 1 = D; ​​​​​​N – 1 = M; T

69 Views

Question : Ruchi, Khushi, and Teju can do a piece of work in 30, 40, and 60 days respectively. In how many days can Ruchi do the work, if she is assisted by both Khushi and Teju on every third day?

Option 1: $\frac{550}{12}$

Option 2: $\frac{85}{4}$

Option 3: $\frac{71}{2}$

Option 4: $\frac{360}{17}$

Team Careers360 8th Jan, 2024

Correct Answer: $\frac{85}{4}$


Solution : Let the total work be 120 units.
As LCM of 30, 40 and 60 is 120 units.
The efficiency of Ruchi, Khushi and Teju = 4, 3, 2
In 3 days, the total work complete = 4 + 4 + 9 = 17 units of

26 Views

Question : The Hemis Festival influences which religion?

Option 1: Jainism

Option 2: Islam

Option 3: Buddhism

Option 4: Hinduism

Team Careers360 23rd Jan, 2024

Correct Answer: Buddhism


Solution : The correct option is Buddhism.

The Hemis Festival is a two-day, extensive cultural event held in Ladakh, which is a part of the state of Jammu and Kashmir in northern India. The festival honours the Buddhist master of the eighth century, Guru Padmasambhava, and

30 Views

Question : How many KB is equal to 1 GB?

Option 1: 1024

Option 2: 256 x 1024

Option 3: 1024 x 1024

Option 4: 1024 x 1024 x 128

Team Careers360 14th Jan, 2024

Correct Answer: 1024 x 1024


Solution : The correct answer is 1024 x 1024.

1 gigabyte (GB) contains 1024 megabytes (MB).

The formula used to compute is - 1 GB = 1024 MB; 1 MB = 1024 KB
As a result, 1 GB is 1024 * 1024 KB =

7 Views

Question : Bharatanatyam expresses South Indian religious themes and spiritual ideas of______.

Option 1: Sufism

Option 2: Shaivism

Option 3: Buddhism

Option 4: Jainism

Team Careers360 12th Jan, 2024

Correct Answer: Shaivism


Solution : The correct answer is Shaivism.

Tamil Nadu is where the ancient dance form known as Bharatanatyam originated. It is one of the eight Indian classical dance styles that the Sangeet Natak Akademi has approved, and it expresses South Indian religious themes and spiritual ideas,

13 Views

Question : A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.

Option 1: 28 cm

Option 2: 23 cm

Option 3: 24 cm

Option 4: 21 cm

Team Careers360 17th Jan, 2024

Correct Answer: 24 cm


Solution : Area of the parallelogram = $28 \times 12 = 336\ \mathrm{cm^2}$
Let the length of the altitude of the triangle be $h$ cm.
​According to the question,
$\frac{1}{2}\times h \times 28 = 336$
⇒ $h = 12\times2$
⇒ $h = 24\text{ cm}$
Hence, the

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