Staff Selection Commission Combined Graduate Level Exam
Question : If 4x2 + y2 = 40 and xy = 6, then find the value of 2x + y.
Option 1: 6
Option 2: 8
Option 3: 5
Option 4: 4
Correct Answer: 8
Solution : Given: 4x2 + y2 = 40 and xy = 6 (2x + y)2 = 4x2 + y2 + 2 × 2x × y ⇒ (2x + y)2 = 40 + 4 × 6 ⇒ (2x + y)2 =
Question : Directions: If X × Y means that X is the father of Y, X ÷ Y means that X is the mother of Y, and X – Y means that X is the brother of Y then which of the following expressions shows that A is the father of C?
Option 1: A – B × C
Option 2: A ÷ C – B
Option 3: A × B ÷ C
Option 4: A × B – C
Correct Answer: A × B – C
Solution : Given: X × Y means that X is the father of Y. X ÷ Y means that X is the mother of Y. X – Y means that X is the brother of Y.
Let's check the given options – First
Question : Baking soda is ________________.
Option 1: sodium carbonate
Option 2: sodium sulphate
Option 3: sodium hydrogen carbonate
Option 4: sodium hydroxide
Correct Answer: sodium hydrogen carbonate
Solution : The correct option is sodium hydrogen carbonate.
Baking soda is the common name for sodium bicarbonate, which is a chemical compound with the formula NaHCO3. It is a white, crystalline powder that is commonly used as a leavening agent in
Question : Select the incorrect statement about Phylum Arthropoda.
Option 1: Class Insecta is the largest class of Phylum Arthropoda.
Option 2: Lignin is the main component of the exoskeletons of Arthropods.
Option 3: Over 85% of all known animal species are Arthropods.
Option 4: Phylum Arthropoda comprises a wide diversity of animals with hard exoskeletons and jointed Appendages.
Correct Answer: Lignin is the main component of the exoskeletons of Arthropods.
Solution : The correct option is Lignin is the main component of the exoskeletons of arthropods.
The exoskeleton of the Arthropod is made of chitin, not lignin.
Some features of arthropods are:
Question : The annual incomes of Amit and Veeri are in the ratio of 3 : 2, while the ratio of their expenditures is 5 : 3. If at the end of the year, each saves INR 1,000, the annual income of Amit is:
Option 1: INR 9,000
Option 2: INR 8,000
Option 3: INR 7,000
Option 4: INR 6,000
Correct Answer: INR 6,000
Solution : Given: The annual incomes of Amit and Veer = 3 : 2 Expenditures = 5 : 3 Savings = INR 1,000 Let the annual income of Amit and Veer be $3x$ and $2x$. We know that, Income – Saving = Expenditure According to question:
Question : Directions: In the following question, select the related number from the given alternatives. 24 : 60 :: 210 : ?
Option 1: 348
Option 2: 336
Option 3: 340
Option 4: 326
Correct Answer: 336
Solution : Given: 24 : 60 :: 210 : ?
Like, 24 : 60→(3)3 – 3 = 27 – 3 = 24; (3 + 1)3 – (3 + 1) = (4)3 – 4 = 64 – 4 = 60 Similarly, (6)3 – 6
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No error' as your answer.
If things were not going to be normal / after the pandemic, mankind will / have to accept the new normal.
Option 1: after the pandemic, mankind will
Option 2: have to accept the New Normal
Option 3: If things were not going to be normal
Option 4: no error
Correct Answer: If things were not going to be normal
Solution : The correct choice is the third option.
To maintain the tense consistency in the sentence, the auxiliary verb in the sentence should be changed from "were" to "are". The sentence conveys the meaning that if the circumstances in
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. The family has visit many parts of Europe when the man was working with an international educational agency.
Option 1: had visited
Option 2: are visited
Option 3: have visit
Option 4: has visiting
Correct Answer: had visited
Solution : The correct answer is the first option.
In the original sentence, the use of "has visit" is grammatically incorrect and uses the present tense, which doesn't match the past time frame implied by when the man was working. To convey that the family's visits
Question : Parts of the following sentence are given as options. Identify the segment that contains a grammatical error.
She don’t go for a walk everyday.
Option 1: everyday
Option 2: a walk
Option 3: She don’t
Option 4: go for
Correct Answer: She don’t
Explanation:
The error lies in the use of the incorrect verb form. The correct form should be doesn't. In English, the third person singular requires the use of does not or the contraction doesn't with
Question : What is a bug in computer terminology?
Option 1: A virus.
Option 2: A program.
Option 3: An error in program.
Option 4: Magnetic disk storage device.
Correct Answer: An error in program.
Solution : The correct answer is An error in the program.
In computer terminology, a bug refers to an error, flaw, or unexpected behavior in software or hardware that causes it to behave in unintended ways. Bugs can manifest in various forms, including causing
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