Staff Selection Commission Combined Graduate Level Exam
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: $80 + 48\sqrt2$
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 ×
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:
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,
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.
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
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
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
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
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
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
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 +
Question : The term ''Doab'' means
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
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
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.
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.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
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
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
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.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update