Staff Selection Commission Combined Graduate Level Exam
Question : What is the value of $(a+b)^2-(a-b)^2$?
Option 1: $2\left(a^2+b^2\right)$
Option 2: $4\left(a^2+b^2\right)$
Option 3: $8ab$
Option 4: $4ab$
Correct Answer: $4ab$
Solution : $(a+b)^2-(a-b)^2$ = $a^2+b^2+2ab-(a^2+b^2-2ab)$ = $a^2+b^2+2ab-a^2-b^2+2ab$ = $4ab$ Hence, the correct answer is $4ab$.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A robot is a mechanical or virtual artificial agent, usually an electromechanical machine that is (1)______ by a computer programme or electronic circuitry. In general, robots can be autonomous or semi-autonomous and are now used in different fields. They have replaced (2)_______ in performing repetitive and dangerous tasks which humans prefer not to do, or are unable to do because of size limitations, or which take place in extreme (3)________ such as outer space or the bottom of the sea. For instance, robots can now be used in industry, as in car manufacturing, or they can be used in homes to do the (4)_______. Some robots may respond to speech or even be medical operating tools. There are concerns about the increasing use of robots and their role in society. Robots are blamed for the rising (5)________ as they replace workers in increasing numbers of functions.
Question:
Select the most appropriate option to fill in the blank number 2.
Option 1: machines
Option 2: humans
Option 3: agents
Option 4: toys
Correct Answer: humans
Solution : The correct choice is the second option.
The sentence talks about tasks that are repetitive or dangerous, which humans might avoid due to preference or limitations. In such cases, machines are often used to perform these tasks instead of humans.
Therefore, the complete sentence
Question : The _________ Cabinet approved the country’s first-of-its-kind gene bank programme in the State.
Option 1: Rajasthan
Option 2: Maharashtra
Option 3: Andhra Pradesh
Option 4: Odisha
Correct Answer: Maharashtra
Solution : The correct option is Maharashtra.
The Maharashtra Cabinet approved the country’s first-of-its-kind gene bank programme in the state. The Maharashtra Gene Bank is a unique project that will help to conserve and protect the genetic resources of the state. The bank will store the
Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 9
Option 1: 9 – 5 × 4 + 6 ÷ 3 = 30
Option 2: 9 × 3 + 5 ÷ 1 – 6 = 20
Option 3: 7 × 9 + 5 – 8 ÷ 4 = 40
Option 4: 9 × 4 + 5 – 8 ÷ 2 = 25
Correct Answer: 9 × 4 + 5 – 8 ÷ 2 = 25
Solution : Given: Interchange 5 and 9
Interchanging 5 and 9 in each of the given options. Let's check each option – First option: 9 – 5 × 4 + 6 ÷ 3 = 30 5 –
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'.
I wouldn't dream to raise the price.
Option 1: to raising
Option 2: to rise
Option 3: No improvement
Option 4: of raising
Correct Answer: of raising
Solution : The correct choice is the fourth option.
The verb dream is often followed by of when expressing intentions or actions. In this context, the correct preposition to use is of to make the sentence grammatically accurate.
Therefore, the correct sentence is: I wouldn't dream
Question : In a circle, a 14 cm long chord is 24 cm from the centre of the circle. Find the length of the radius of the circle.
Option 1: 30 cm
Option 2: 25 cm
Option 3: 50 cm
Option 4: 27 cm
Correct Answer: 25 cm
Solution : Let O be the centre, AB be the chord, and OD $\perp $ AB. AB = 14 cm therefore, AD = 7 cm OD = 24 cm $\triangle$ OAD is a right-angled triangle, by using Pythagoras theorem, OA2 = OD2 + AD
Question : Which one of the following chemicals is associated with muscle fatigue ?
Option 1: Uric acid
Option 2: Acetic acid
Option 3: Pyruvic acid
Option 4: Lactic acid
Correct Answer: Lactic acid
Solution : The correct option is Lactic acid.
Lactic acid (lactate) is one of the primary compounds responsible for muscular fatigue. During vigorous or sustained muscular exercise, oxygen delivery may fall short of meeting energy needs, resulting in anaerobic metabolism. This causes lactic acid to build
Question : If $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$, then the value of $x$ is:
Option 1: –1.5
Option 2: –3
Option 3: –2.5
Option 4: 6
Correct Answer: –1.5
Solution : Given: $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$. ⇒ $\frac{1}{6} × x-\frac{7}{2} ×\frac{3}{7}= -\frac{7}{4}$ ⇒ $\frac{x}{6} -\frac{3}{2}= -\frac{7}{4}$ ⇒ $\frac{x}{6} =-\frac{7}{4}+\frac{3}{2}$ ⇒ $\frac{x}{6} =-\frac{1}{4}$ ⇒ $x =-\frac{3}{2}$ ⇒ $x=-1.5$ Hence, the correct answer is –1.5.
Question : Which of the following high dignitaries, who are not members of Parliament , has the right to address it ?
Option 1: Chief Justice of India
Option 2: Attorney General of India
Option 3: Solicitor General of India
Option 4: Chief Election COmmissioner of India
Correct Answer: Attorney General of India
Solution : The correct option is Attorney General of India.
Even though they are not members of Parliament, the Attorney General of India has the power to address both Houses of Parliament (Lok Sabha and Rajya Sabha). The Attorney General can participate in legislative
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. Information technology has developed by leaps and bounds.
Option 1: at a rapid pace
Option 2: very gradually
Option 3: through unfair means
Option 4: in far off places
Correct Answer: at a rapid pace
Solution : The first option is the correct choice.
Hence, the correct meaning is, at a rapid
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