Staff Selection Commission Combined Graduate Level Exam
Question : If $(x-2)(x-p) = x^2-ax+6$, then the value of $(a - p)$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $(x-2)(x-p) = x^2-ax+6$ ⇒ $x^2-px-2x+2p=x^2-ax+6$ ⇒ $x^2-(p+2)x+2p=x^2-ax+6$ By comparing both sides of the equation, $p+2=a$ ⇒ $a-p=2$ Hence, the correct answer is 2.
Question : A alone can finish a work in 15 days. A works only for the first two days and the last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?
Option 1: $\frac{90}{8}$
Option 2: $\frac{80}{7}$
Option 3: $\frac{80}{9}$
Option 4: $\frac{70}{8}$
Correct Answer: $\frac{80}{9}$
Solution : Time taken by A alone to do the work = 15 Work done by A alone in a day = $\frac{1}{15}$ Work done by A in the first and last two days = $\frac{4}{15}$ Work done by B in 16 days = 1 – $\frac{4}{15}$
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
You can't avoid notifying the building while travelling.
(1) avoid to look
(2) avoid to noticing
(3) avoid noticing
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct choice for the sentence.
In this context, avoid noticing is the appropriate phrase because it conveys the idea that we cannot refrain from observing or paying attention to the building while travelling.
The other options, avoid to look and
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Tim is Jack. No Jack is Ben. Some Ben is Ruth. Conclusions: I. No Ruth is Jack. II. Some Ben is Jack. III. No Ben is Tim.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion III follows
Option 3: Only conclusion I follows
Option 4: Only conclusions I and III follow
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No Ruth is Jack – From the Venn diagram, it is evident that there is no direct relation between Ruth and Jack.
Question :
"Green banking" means:
Option 1:
banks financing agriculture
Option 2:
banks financing irrigation projects
Option 3: banks financing farmers
Option 4: banks financing pro-environmental projects
Correct Answer: banks financing pro-environmental projects
Solution : The correct answer is banks financing pro-environmental projects.
"Green banking" refers to banks sponsoring pro-environmental projects and efforts that have a good influence on the environment and contribute to long-term sustainability. Renewable energy, energy efficiency, sustainable agriculture, clean technology, and other
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’.
I found my bag to lie where I had left it.
Option 1: No improvement required
Option 2: to be lying
Option 3: lying
Option 4: to lay
Correct Answer: lying
Solution : The correct choice is the third option.
Explanation:
The correct verb form to be used here is the present participle form, which is lying. Thus, to lie should be replaced with lying i.e. gerund form of the verb, to make the sentence
Question : Select the option that expresses the given sentence in passive voice.
Rahul knows Shahbaz since childhood.
Option 1: Shahbaz was known to Rahul since childhood.
Option 2: Shahbaz is known to Rahul since childhood.
Option 3: Shahbaz known by Rahul since childhood.
Option 4: Shahbaz has known Rahul since childhood.
Correct Answer: Shahbaz is known to Rahul since childhood.
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the object experiencing an action rather than the person that performs the action. Hence, the object in the
Question : If $\frac{11-13x}{x}+\frac{11-13y}{y}+\frac{11-13z}{z}=5$, then what is the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$?
Option 1: $1$
Option 2: $\frac{13}{11}$
Option 3: $\frac{13}{5}$
Option 4: $4$
Correct Answer: $4$
Solution : Given: $\frac{11-13x}{x}+\frac{11-13y}{y}+\frac{11-13z}{z}=5$ $⇒\frac{11}{x}-\frac{13x}{x}+\frac{11}{y}-\frac{13y}{y}+\frac{11}{z}-\frac{13z}{z}=5$ $⇒\frac{11}{x}+\frac{11}{x}+\frac{11}{x}-39=5$ $⇒11(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})=44$ $\therefore\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{44}{11}=4$ Hence, the correct answer is $4$.
Conglobate gland is a leaf like structure found in:
Female Cockroach
Male Cockroach
Option 3: Male Ascaris
Option 4: Female Ascaris
Correct Answer:
Solution : The correct option is male cockroach.
The "conglobate gland" is a male cockroach structure. In male cockroaches, the conglobate gland is a specialised gland connected with the reproductive system. It's termed a "conglobate" structure because it looks like a folded leaf. This gland creates
Question : Directions: A is taller than B, C is taller than A. D is taller than E but shorter than B. Who is the tallest?
Option 1: C
Option 2: A
Option 3: D
Option 4: B
Correct Answer: C
Solution : Given: A is taller than B; A > B C is taller than A; C > A D is taller than E but shorter than B; B > D > E
By concluding all the given information, we have – E < D < B
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