Staff Selection Commission Combined Graduate Level Exam
Question : Simplify the expression $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$, where $x=2$ and $y=3$.
Option 1: $2\sqrt{6}-6$
Option 2: $\sqrt{6}-5$
Option 3: $5-2\sqrt{6}$
Option 4: $2\sqrt{6}-5$
Correct Answer: $2\sqrt{6}-5$
Solution : $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$ Rationalising the denominator, $=\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}} \times \frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}-\sqrt{y}}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{(\sqrt{x}+\sqrt{y})\times (\sqrt{x}-\sqrt{y})}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{x-y}$ Putting $x=2$ and $y=3$ in the equation. $=\frac{(\sqrt2 -\sqrt3)^2}{2-3}$ $=\frac{2+3-2\sqrt6}{-1}$ $=-5+2\sqrt6$ Hence, the correct answer is $2\sqrt6-5$.
Question : The Earliest Settlements of Aryan tribes were at
Option 1: Utter Pradesh
Option 2: Bengal
Option 3: Sapta Sindhu
Option 4: Delhi
Correct Answer: Sapta Sindhu
Solution : The correct option is Sapta Sindhu.
The Sapta Sindhu area, today known as the Punjab region in northern India, was the site of the first Aryan tribes settlements. The Sapta Sindhu area is called for the rivers that run through it: the Indus, Jhelum,
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. Simon teaches children ___ water colour painting.
Option 1: the art on
Option 2: the art in
Option 3: the art by
Option 4: the art of
Correct Answer: the art of
Solution : The correct choice is the fourth option.
Explanation: "The art of" is a commonly used phrase to describe teaching a specific skill or technique within an art form. In this context, it accurately conveys that Simon is teaching children the skill or technique
Question : Which of the following fibers catches fire least?
Option 1: Nylon
Option 2: Cotton
Option 3: Rayon
Option 4: Terricot
Correct Answer: Cotton
Solution : The correct option is Cotton.
Cotton is the fiber among the options listed that catches fire least easily. Cotton is a natural fiber derived from the cotton plant, and it has a higher ignition temperature compared to synthetic fibers like rayon, nylon, or terricot. Cotton
Question : Directions: In a certain code language, GLAND is written as GQDOJ, and MEANS is written as VQDHP. How will CYSTS be written in that language?
Option 1: VWVCF
Option 2: FBVWV
Option 3: UVUAE
Option 4: VWVBF
Correct Answer: VWVBF
Solution : Given: GLAND is written as GQDOJ, and MEANS is written as VQDHP.
Add 3 to the place value of each letter of GLAND and MEANS and then, reverse the order of the letters to get the required codes. GLAND→G + 3 = J; L +
Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The master assured her___ success in the examination.
Option 1: of
Option 2: in
Option 3: for
Option 4: with
Correct Answer: of
Solution : The correct choice will be the first option.
The reason for this choice is that when we assure someone of something, we are guaranteeing them a particular outcome or possession. In this case, the master assures her of success in the examination, indicating that he
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The bank decided to _____ them the money as they were reliable clients.
Option 1: let
Option 2: lend
Option 3: borrow
Option 4: lease
Correct Answer: lend
Solution : The second option is the correct answer: lend.
let: to allow someone to use or occupy something, often temporarily.
lend: to give something to someone with the expectation of getting it back, typically money or an item.
borrow: to take something from
Question : In a peridic table of elements on moving from left to right across a period ,the atomic radius
Option 1: Decreases
Option 2: Increases
Option 3: Remains un changed
Option 4: Does not follow a definite pattern
Correct Answer: Decreases
Solution : The correct option is - decreases.
In a period, the atomic radius decreases from left to right. Protons are added to the atom's nucleus of the elements, increasing its positive charge and strengthening its pull on the electrons. As a result the size of atom
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
My friend is owing an expensive cell phone.
Option 1: own an expensive cell phone
Option 2: owns an expensive cell phone.
Option 3: No substitution
Option 4: is own an expensive cell phone
Correct Answer: owns an expensive cell phone.
Solution : The correct choice is the second option.
The original sentence is not correct because it uses the wrong word with the wrong tense form to show ownership. To convey the intended meaning, the second option is the appropriate choice. It correctly
Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error. The meeting was held upon / for an hour / due to non-availability / of the committee members.
Option 1: of the committee members
Option 2: due to non-availability
Option 3: for an hour
Option 4: The meeting was held upon
Correct Answer: The meeting was held upon
Solution : The right option is the fourth option.
The grammatical error is in the phrase "meeting was held upon". The correct preposition to indicate the duration for which the meeting was held is for rather than upon.
Upon is a preposition
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