Staff Selection Commission Combined Graduate Level Exam
Question : The product of two positive integers is 2048 and one of them is twice the other. The smaller number is:
Option 1: 32
Option 2: 64
Option 3: 16
Option 4: 1024
Correct Answer: 32
Solution : Let the first number be $x$, then the second number is $2x$. According to the question, $x(2x) = 2048$ ⇒ $x^2 = 1024$ ⇒ $x = 32$ So, the smaller number is 32. Hence, the correct answer is 32.
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 64
Option 2: 125
Option 3: 225
Option 4: 216
Correct Answer: 225
Solution : Let's check the options — First option: 64→43 = 64 Second option: 125→53 = 125 Third option: 225→225 is not a perfect cube. Fourth option: 216→63 = 216
So, the third option is different from the other three options as all other
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (7, 5, 10); (2, 1, 5); (16, 6, ?) (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 2: 50
Option 3: 45
Option 4: 24
Correct Answer: 50
Solution : Given: (7, 5, 10); (2, 1, 5); (16, 6, ?)
In the given sets, multiply the difference of the first and second numbers by 5 to get the third number. Like, (7, 5, 10)→(7 – 5) × 5 = 2 × 5 = 10 And,
Question : Directions: From the given option figures, select the one in which the question figure is embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures. The question figure is embedded only in the third option figure.
Hence, the third option is
Question : The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.
Option 1: 6048
Option 2: 5616
Option 3: 6024
Option 4: 5832
Correct Answer: 6048
Solution : Let the two numbers be $a$ and $b$. $(a–b)^3=1728$ and $ab=108$. ⇒ $(a–b)=\sqrt[3]{1728}$ ⇒ $(a–b)=12$ -------------------------------(equation 1) Now, $(a+b)^2=(a–b)^2+4ab$ ⇒ $(a+b)^2=(12)^2+4(108)$ ⇒ $(a+b)=\sqrt{144+432}$ ⇒ $(a+b)=24$ ---------------------------(equation 2) Performing equation (2) – equation (1), we get: $(a+b)-(a-b) = 24-12$ ⇒ $2b = 12$ ⇒ $b=6$ Substituting
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Solution : According to the given figures – 1. The line outside the square is moving in the anticlockwise direction and the number of positions from it is being shifted is increasing by 1 from the previous box. 2. The triangle inside the square is moving in the
Question : In which of the following classes can we put Adrenaline?
Option 1: Hormone
Option 2: Enzyme
Option 3: Protein
Option 4: Fat
Correct Answer: Hormone
Solution : The correct option is Hormone.
Controlling visceral functions, like breathing, is done by the hormone and medication Adrenaline, frequently referred to as Epinephrine. It activates the body's "fight or flight" response, which increases heart rate, dilates airways, redirects blood flow to muscles, and increases
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. Mob lynching is the act of a group of people murdering a person without due process of law for an (1)_________ infraction. In recent years, mob lynching has become one of the hate (2)_________ that targets persons of a certain identity, members of a minority population, or strangers on the basis of a mere (3)___________. Without obeying any principles of law, the mob takes the law into their own hands to punish the supposed (4)__________ in the name of justice. Mob lynching is a breach of human dignity and a (5)_________ violation of the Universal Declaration of Human Rights, according to Article 21 of the Indian Constitution. Select the most appropriate answer to fill in the blank 5.
Option 1: prevalent
Option 2: convenient
Option 3: covert
Option 4: flagrant
Correct Answer: flagrant
Solution : The fourth option is correct.
The word flagrant describes an action that is considered wrong or immoral.
In the context of mob lynching, the term flagrant emphasises that such incidents of violence are not just breaches of human dignity but are overt and glaring violations
Question : "All India Muslim League" was established in 1906 at _____________.
Option 1: Dacca
Option 2: Bombay
Option 3: Madras
Option 4: Surat
Correct Answer: Dacca
Solution : The correct option is Dacca.
The All India Muslim League was established in 1906 in Dacca, which was then part of British India and is now the capital of Bangladesh. It was established during the annual session of the All India Muhammadan Educational Conference
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
He is a fast bowler of repute, but his yesterday's performance was not up to the mark.
(1) to not refrain from
(2) to refrain to
(3) to refrain not from
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The original sentence is grammatically correct and effectively conveys the intended meaning. His yesterday's performance is the appropriate way to refer to the performance of the previous day, and the other alternatives do not improve the sentence.
Therefore, the correct choice is the fourth option
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