Staff Selection Commission Combined Graduate Level Exam
Question : In 'annular' pattern , rivers flow
Option 1: From West to East
Option 2: From North to South
Option 3: Like a ring
Option 4: in transverse direction
Correct Answer: Like a ring
Solution : The correct option is like a ring.
Rivers generally flow in a "annular" or ring-shaped pattern around the centre highland or elevated location. This river pattern is common in structural basins or dome-shaped geological features. The rivers tend to flow in a round
Question : The length, breadth, and height of a hall are 10 m, 20 m, and 15 m, respectively. Find the cost of whitewashing the walls of the inside of the hall and ceiling, at the rate of INR 10.20 per m2.
Option 1: INR 13,394
Option 2: INR 11,220
Option 3: INR 15,320
Option 4: INR 16,542
Correct Answer: INR 11,220
Solution : Given: The length, breadth, and height of a hall are 10 m, 20 m, and 15 m, respectively. The total area of the four walls of the hall = 2 × height (length + breadth) = 2 × 15 (10 + 20) m2
Question : Directions: Select the option figure that is embedded in the given figure as its part (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the first option figure is embedded in the given question figure.
Hence, the first option is correct.
Question : Select the most appropriate indirect form of the given sentence. She said to them, “Don’t smoke here.”
Option 1: She asked them to not smoke here.
Option 2: She told them do not smoke here.
Option 3: She told them not to smoke there.
Option 4: She asked them to smoke somewhere else.
Correct Answer: She told them not to smoke there.
Solution : The correct choice is the third option.
The indirect form of a sentence involves reporting or paraphrasing what someone said, thought, or felt without using their exact words.
The steps of conversion are as follows:
Question : A shopkeeper is allowed a 20% discount on his Advertised price and makes a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000?
Option 1: 36,000
Option 2: 37,500
Option 3: 39,000
Option 4: 42,500
Correct Answer: 37,500
Solution : Given: A shopkeeper is allowed a 20% discount on his advertised price and makes a profit of 25% on his outlay. Let the cost price be 100 units. Selling price = $100×\frac{125}{100}=125$ units (since profit if 25%) Profit = (125 – 100) = 25 units
Question : If $2x+3y=16$ and $xy=9$, then find the value of $8x^3+27y^3$.
Option 1: 1980
Option 2: 2980
Option 3: 1504
Option 4: 2189
Correct Answer: 1504
Solution : Given: $2x+3y=16$ and $xy=9$ We know that $(a+b)^{3}=a^{3}+b^{3}+3ab(a+b)$ ⇒ $(2x+3y)^{3}=8x^{3}+27y^{3}+18xy(2x+3y)$ Putting the given values, we have, ⇒ $(16)^{3}=8x^{3}+27y^{3}+18×9×(16)$ ⇒ $4096=8x^{3}+27y^{3}+2592$ ⇒ $8x^{3}+27y^{3}=4096–2592$ ⇒ $8x^{3}+27y^{3}=1504$ Hence, the correct answer is 1504.
Question : Directions: Golu is the son of Bhola. Sheetal is the daughter of Golu. Chitra is the daughter of Dilip and Dilip is the brother of Bhola. How is Chitra related to Sheetal?
Option 1: Sister
Option 2: Mother
Option 3: Aunt
Option 4: Mother-in-law
Correct Answer: Aunt
Solution : According to the given information, the family tree is shown below –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, according to the above family tree, Chitra is the aunt of Sheetal. Hence, the third option
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
He was (1) / very kind enough (2) / to invite me. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The phrase "very kind enough" is redundant, as "kind enough" already implies a high level of kindness.
Therefore, the correct sentence is: He was kind enough to invite me.
Question : If $(x+\frac{1}{x})=6$ and $x>1$, find the value of $(x^2–\frac{1}{x^2})$.
Option 1: $18 \sqrt{2}$
Option 2: $30 \sqrt{2}$
Option 3: $24 \sqrt{2}$
Option 4: $12 \sqrt{10}$
Correct Answer: $24 \sqrt{2}$
Solution : Given: $(x+\frac{1}{x})=6$, and $x>1$. We know, $(x–\frac{1}{x})^2=(x+\frac{1}{x})^2–4×x×\frac{1}{x}$ ⇒ $(x–\frac{1}{x})^2=(6)^2–4$ ⇒ $(x–\frac{1}{x})=\sqrt{32}=4\sqrt2$ ⇒ $x^2–\frac{1}{x^2}=(x+\frac{1}{x})(x–\frac{1}{x})$ ⇒ $x^2–\frac{1}{x^2}=(6)(4\sqrt2)=24\sqrt2$ Hence, the correct answer is $24\sqrt2$.
Question : Select the most appropriate option to replace the underlined segment in the given sentence. Shyama does not laugh, nor she smiles.
Option 1: nor she does smile.
Option 2: she does smile.
Option 3: nor does she smile.
Option 4: nor she smile does.
Correct Answer: nor does she smile.
Explanation: The original sentence has a coordination error due to the incorrect structure of the negative construction.
The correct form should follow the "neither/nor + auxiliary/modal verb + subject" pattern. Therefore, "nor does
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