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Staff Selection Commission Combined Graduate Level Exam

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Question : A solid cube has a side of 8 cm. It is cut along diagonals of the top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

Option 1: $96 + 64\sqrt2$

Option 2: $80 + 64\sqrt2$

Option 3: $96 + 48\sqrt2$

Option 4: $80 + 48\sqrt2$

Team Careers360 25th Jan, 2024

Correct Answer: $96 + 64\sqrt2$


Solution : Diagonal of the face = (side of cube) × $\sqrt{2} = 8\sqrt{2}$ cm
The total surface area of the part
= Area of one face of cube + 2 × $\frac{1}{4}$ × area of top face + 2 × side of cube ×

6 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : According to the given figure series – 
From Box 1 to Box 2 – The square becomes unshaded and shifts at the first position followed by the unshaded triangle at the second position and the circle at the third position. The symbol at the third position,

21 Views

Question : Directions: Out of the following five figures, four are alike in some manner and one differs from these in that manner. Select the odd figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 16th Jan, 2024

Correct Answer:


Solution : According to the given figures –

In Images first, second, third, and fifth, the half arrow is drawn to the right-hand side of the arrows at the other end of the line.
But in image 4, the half arrow is drawn to the left-hand side of

6 Views

Question : Select the option which means the same as the group of words given.

The sovereign head of a state

Option 1: Monochrome

Option 2: Monarch

Option 3: Monolith

Option 4: Monotone

Team Careers360 19th Jan, 2024

Correct Answer: Monarch


Solution : The second option is the correct choice.

A monarch is typically a king or queen who holds a position of authority and often inherits the position through a hereditary line. The word monarch accurately captures the idea of a sovereign head of state, making it

8 Views

Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series?
WNM, ULO, SJQ, QHS, ?

Option 1: OFU

Option 2: PFS

Option 3: OGU

Option 4: PGT

Team Careers360 20th Jan, 2024

Correct Answer: OFU


Solution : Given:
WNM, ULO, SJQ, QHS, ?

Here, subtract 2 from the place value of the first and second letters and add 2 to the place value of the third letter of the previous term to get the next term of the series.
WNM→W – 2

52 Views

Question : Simplify the following expression:
[$\sqrt{25}$ + 12 ÷ 3 – {20 + (16 of 8 ÷ 16) – (54 ÷ 18 of $\frac{1}{2}$}]

Option 1: –13

Option 2: 12

Option 3: 22

Option 4: 0

Team Careers360 21st Jan, 2024

Correct Answer: –13


Solution : [$\sqrt {25}$ + 12 ÷ 3 – {20 + (16 of 8 ÷ 16) – (54 ÷ 18 of $\frac{1}{2}$)}]
= [5 + 12 ÷ 3 – {20 + (128 ÷ 16) – (54 ÷ 9)}]
= [5 + 12 ÷ 3 – {20 +

13 Views

Question : The term ''Doab'' means

Option 1: a\; land\; between\; two\; mountains

 

 

 

Option 2: a\; land\; between\; two\; lakes

Option 3: a\; land\; between\; two\; rivers

Option 4: a\; land\; between\; two\; seas

Team Careers360 18th Jan, 2024

Correct Answer: a\; land\; between\; two\; rivers


Solution : The correct answer is the land between two rivers. 

Land between the confluence of two rivers is called Doab. Usually they are the most agriculturally fertile region. Example- Ganga Yamuna Doab, Raichur Doab, etc. 

Additional information-

Largest doab in the world in Sindh Sagar doab which

11 Views

Question : The police of which state/UT launched the Anubhuti, a QR code-based feedback system in February 2022?

Option 1: Madhya Pradesh

Option 2: Goa

Option 3: Maharashtra

Option 4: Delhi

Team Careers360 21st Jan, 2024

Correct Answer: Delhi


Solution : The correct answer is Delhi.

On February 28, 2012, the Delhi Police unveiled e-Chittha, a revamped website, and Anubhuti, a QR code-based feedback system. The e-Chittha platform would facilitate the deployment of duties for the Delhi Police.

7 Views

Question : Direction: In the following question, out of four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Balanced diet (comprises of water), roughage and other nutritional values.

  1. comprises water
  2. comprises of water
  3. comprised of water
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 16th Jan, 2024

Correct Answer: 1


Solution : The appropriate answer is the first option as there's an error in the usage of the preposition. In this sentence, the preposition 'of' should not be used with 'comprises' which means 'composed of' thus not conveying the proper meaning.

Therefore, the correct statement should be

9 Views

Question : If $x=222, y=223$ and $z=224$, then find the value of $x^3+y^3+z^3-3 x y z$.

Option 1: 2007

Option 2: 2004

Option 3: 2006

Option 4: 2005

Team Careers360 16th Jan, 2024

Correct Answer: 2007


Solution : $x^3 + y^3 +z^3-3xyz=\frac{1}{2}(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]$
$= (\frac{1}{2})(222+ 223 + 224)[(222-223)^2 + (223-224)^2 + (224-222)^2]$
$= (\frac{1}{2})(669)[(1)+(1) + (4)]$
$= 3\times 669 = 2007$
Hence, the correct answer is 2007.

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