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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
35 * 5 * 7 * 2 * 19 = 42

Option 1: ×, ÷, –, +

Option 2: ÷, ×, +, +

Option 3: +, –, +, –

Option 4: ÷, ×, –, –

Team Careers360 19th Jan, 2024

Correct Answer: ×, ÷, –, +


Solution : Given:
35 * 5 * 7 * 2 * 19 = 42

Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option: ×, ÷, –, +
⇒ 35 ×

14 Views

Question : Directions: Rajneesh started walking towards north. He took a left turn after walking 20 metres. He again took a right turn after walking 30 metres. Which direction is he facing now?

Option 1: North

Option 2: East

Option 3: West

Option 4: South

Team Careers360 19th Jan, 2024

Correct Answer: North


Solution : Firstly, we will draw the diagram as per the given instructions –


Here, A is the starting point and D is the endpoint.

So, Rajneesh is facing in the north direction. Hence, the first option is correct.

8 Views

Question : Which of the following cell organelles is made up of ribosomal RNA and protein?

Option 1: Ribosome

Option 2: Nucleus

Option 3: Golgi body

Option 4: Lysosome

Team Careers360 25th Jan, 2024

Correct Answer: Ribosome


Solution : The correct option is Ribosome.

Ribosomes are cellular structures responsible for protein synthesis. They can be found in both prokaryotic and eukaryotic cells. Ribosomes read the genetic code from messenger RNA (mRNA) and facilitate the assembly of amino acids into a polypeptide chain, forming

19 Views

Question : The members of the Rajya Sabha are elected by

Option 1: Elected members of the Legislative Assembly

Option 2: Elected member Legislative Council

Option 3: The people

Option 4: Lok Sabha

Team Careers360 16th Jan, 2024

Correct Answer: Elected members of the Legislative Assembly


Solution : The correct answer is Elected members of the Legislative Assembly.

The upper house of the Indian parliament is known as the Rajya Sabha. It cannot be dissolved because it is the legislature's permanent body. The State legislative Assemblies directly elect

20 Views

Question : Who was the Nawab when Dalhousie annexed Awadh in 1856 ?

Option 1: Nasiruddin Mahmud Shah

Option 2: Wajid Ali Shah

Option 3: Shajaud Daula

Option 4: Alivardi Khan

Team Careers360 12th Jan, 2024

Correct Answer: Wajid Ali Shah


Solution : The correct option is Wajid Ali Shah.

Wajid Ali Shah was the Nawab of Awadh (Oudh) at the time that Lord Dalhousie annexed the region in 1856. He was the final Nawab (ruler) of the Awadh Kingdom. During the period of British colonial

18 Views

Question : Which of the following is not a conductor?

Option 1: Hard rubber

Option 2: Copper

Option 3: Silver

Option 4: Nickel

Team Careers360 21st Jan, 2024

Correct Answer: Hard rubber


Solution : The correct answer is Hard rubber.

Hard rubber is not a conductor of electricity. It is an insulator or non-conductor of electricity. Rubber, especially hard rubber, does not allow the flow of electric current and is used in various electrical applications to insulate

17 Views

Question : If $x=\frac{\sqrt{5}-\sqrt{4}}{\sqrt{5}+\sqrt{4}}$ and $y=\frac{\sqrt{5}+\sqrt{4}}{\sqrt{5}-\sqrt{4}}$ then the value of $\frac{x^2-x y+y^2}{x^2+x y+y^2}=$?

Option 1: $\frac{361}{363}$

Option 2: $\frac{341}{343}$

Option 3: $\frac{384}{387}$

Option 4: $\frac{321}{323}$

Team Careers360 21st Jan, 2024

Correct Answer: $\frac{321}{323}$


Solution : $x=\frac{\sqrt{5}-\sqrt{4}}{\sqrt{5}+\sqrt{4}} = \frac{(\sqrt{5}-\sqrt{4})^2}{(\sqrt{5}+\sqrt{4})(\sqrt{5}-\sqrt{4})} = \frac{5+4-4\sqrt5}{5-4} = 9-4\sqrt5$
$y=\frac{\sqrt{5}+\sqrt{4}}{\sqrt{5}-\sqrt{4}} = \frac{(\sqrt{5}+\sqrt{4})^2}{(\sqrt{5}-\sqrt{4})(\sqrt{5}+\sqrt{4})} = \frac{5+4+4\sqrt5}{5-4} = 9+4\sqrt5$
⇒ $xy=\frac{\sqrt{5}-\sqrt{4}}{\sqrt{5}+\sqrt{4}}×\frac{\sqrt{5}+\sqrt{4}}{\sqrt{5}-\sqrt{4}}=1$
and $x+y=9-4\sqrt5+9+4\sqrt5=18$
Now, $\frac{x^2-x y+y^2}{x^2+x y+y^2}$
= $\frac{x^2+2xy+y^2-3xy}{x^2+2xy+y^2-xy}$
= $\frac{(x+y)^2-3xy}{(x+y)^2-xy}$
= $\frac{(18)^2-3}{(18)^2-1}$
= $\frac{321}{323}$
Hence, the correct answer is $\frac{321}{323}$.

25 Views

Question : There are 15 students in a class. Their average weight is 40 kg. When one student leaves the class, the average weight is 39.5 kg. What is the weight of the student who left the class (where kg means kilogram)?

Option 1: 47 kg

Option 2: 42 kg

Option 3: 52 kg

Option 4: 48 kg

Team Careers360 20th Jan, 2024

Correct Answer: 47 kg


Solution : Given: There are 15 students in a class. Their average weight is 40 kg.
Before one student left, the combined weight of the class was: 15 × 40 = 600 kg
After one student left the class, the remaining student's combined weight = 14

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