Staff Selection Commission Combined Graduate Level Exam
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
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) =
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
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
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
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
Question : Select the option that expresses the given sentence in active voice. All previous ages are far surpassed in knowledge by our age.
Option 1: Our age far surpassed all previous ages in knowledge.
Option 2: Our age will far surpasses all previous ages in knowledge.
Option 3: Our age is far surpassing all previous ages in knowledge.
Option 4: Our age far surpasses all previous ages in knowledge.
Correct Answer: Our age far surpasses all previous ages in knowledge.
Solution : The fourth option is the correct answer.
Active voice is the voice in which the subject is the doer. In active voice, the subject (our age) is placed at the beginning of the sentence, followed by the
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: $\frac{360}{17}$
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
Question : The Hemis Festival influences which religion?
Option 1: Jainism
Option 2: Islam
Option 3: Buddhism
Option 4: Hinduism
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
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
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 =
Question : Bharatanatyam expresses South Indian religious themes and spiritual ideas of______.
Option 1: Sufism
Option 2: Shaivism
Option 4: Jainism
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,
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
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
Question :
Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols.
Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 – 12 ÷ 4 = 3
Option 1: – and ÷
Option 2: + and ×
Option 3: + and ÷
Option 4: + and –
Correct Answer: – and ÷
Solution : Given:
Let's check the options —
First option: – and ÷;
After replacing the symbols, the equation becomes 5 + 3 × 8 ÷ 12 – 4 = 3. So, this
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