Staff Selection Commission Combined Graduate Level Exam
Question : If the highest common factor (HCF) of x and y is 15, then the HCF of 36x2 – 81y2 and 81x2 – 9y2 is divisible by ________.
Option 1: 135
Option 2: 120
Option 3: 180
Option 4: 90
Correct Answer: 135
Solution : The factor of 36x2 – 81y2 = 9 × (4x2 - 9y2) The factor of 81x2 – 9y2 = 9 × (9x2 - y2) So, the HCF of (36x2 – 81y2) and
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Phone : Talk :: Television : ?
Option 1: Remote
Option 2: View
Option 3: Read
Option 4: Channel
Correct Answer: View
Solution : Given: Phone : Talk :: Television : ?
A phone is a device by which we can talk. Similarly, television is a device by which we can view.
So, the analogy will be Television : View. Hence, the second option is correct.
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. I've ____ finished painting the house.
Option 1: about
Option 2: nearing
Option 3: towards
Option 4: almost
Correct Answer: almost
Solution : The fourth option is the correct answer: almost.
These words are prepositions or adverbs that indicate various aspects of direction, proximity, or relation in a sentence. "almost" means "nearly or close to but not quite." and this is the only option that
Question : Direction: Rajat moves from his office straight to the canteen at a distance of 12 metres. Then he turned left and walked for 2 metres. Then he turns left again and walks straight for 12 metres. How far is he from his office?
Option 1: 10 meters
Option 2: 12 meters
Option 3: 8 meters
Option 4: 2 meters
Correct Answer: 2 meters
Solution : As per the given information, movement of Rajat will look as follows -
According to the one of the properties of rectangle i.e. opposite sides are equal and parallel to each other, the distance between Rajat's office and the end point will be 2
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
By May next year I have been working in this college for twenty years.
(1) No Error
(2) By May next year
(3) I have been working in this college
(4) for twenty years.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The phrase "for twenty years" is in the present perfect tense, which is not suitable for expressing an action that will be completed in the future. To convey this idea correctly, you should use the future perfect tense. Also, for clarity, the phrase "by May
Question : Which one of the following is also regarded as disguised unemployment?
Option 1: Under employment
Option 2: Frictional unemployment
Option 3: Seasonal unemployment
Option 4: Cyclical unemployment
Correct Answer: Under employment
Solution : The correct option is Under unemployment.
In this type of underemployment, a person contributes less to the Indian economy than they can do. For example, an engineer works as a clerk in a small location.
The new lecturer (1)/ seems to be very popular with (2)/ most of the class. (3)/ No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence is grammatically correct and conveys the intended meaning that the new lecturer is popular with most of the class.
Therefore, there are no errors in the sentence.
Question : Sum of the factors of $4b^2c^2-(b^2+c^2-a^2)^2$ is:
Option 1: $a+b+c$
Option 2: $2(a+b+c)$
Option 3: $0$
Option 4: $1$
Correct Answer: $2(a+b+c)$
Solution : $4b^2c^2-(b^2+c^2-a^2)^2$ $=(2bc)^2-(b^2+c^2-a^2)^2$ $=(2bc+b^2+c^2-a^2)(2bc-b^2-c^2+a^2)$ $=((b + c)^2-a^2)(a^2-(b^2+ c^2-2bc))$ $=(b + c + a) (b + c -a) (a^2 -(b-c)^2)$ $=(b+ c+a) (b + c -a) (a + b -c) (a -b + c)$ So, the required sum of factors is given as $b+c+a+b+c-a+a+b-c+a-b+ c=2(a+b+c)$ Hence, the
Question : Which of the following is the operation executed on data stored in registers?
Option 1: Bit-operation
Option 2: Macro-operation
Option 3: Micro-operation
Option 4: Byte-operation
Correct Answer: Micro-operation
Solution : The correct answer is Micro-operation.
A micro-operation is an operation performed on data stored in registers in computer architecture and digital design. Micro-operations are fundamental operations that alter register contents at a very low level and they are often employed in the control and data
Question :
The enzyme in whose presence glucose and fructose are converted into alcohol is
Option 1:
Diastase
Option 2:
Maltase
Option 3:
Invertase
Option 4: Zymase
Correct Answer: Zymase
Solution : The correct option is zymase.
Zymase is an enzyme complex present in yeast cells that plays an important part in the fermentation process. It catalyses the transformation of glucose and fructose (simple sugars) into ethanol (alcohol) and CO2. This biochemical reaction is essential in the
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