Staff Selection Commission Combined Graduate Level Exam
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
Question : Directions: Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All c is f. No f is t. All p is c. Conclusions: I. Some t is c. II. No p is t.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Either conclusion I or II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some t is c – From the Venn diagram, it is evident that all c is f and no f is t.
Question : Raju ate $\frac{3}{8}$th part of a pizza and Adam ate $\frac{3}{10}$th part of the remaining pizza. Then Renu ate $\frac{4}{7}$th part of the pizza that was left. What fraction of the pizza is still left?
Option 1: $\frac{5}{12}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{8}$
Option 4: $\frac{3}{16}$
Correct Answer: $\frac{3}{16}$
Solution : Let the total pizza be 1 part. Raju ate $\frac{3}{8}$th part of it. Remaining Part of the pizza $=(1 - \frac{3}{8})=\frac{5}{8}$ part Adam ate $\frac{3}{10}$th part of the remaining pizza. So, Adam ate $(\frac{5}{8} × \frac{3}{10}) = \frac{15}{80} = \frac{3}{16}$ part of the total pizza
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