Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The train is running late time.
(1) after
(2) behind
(3) off
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct answer is the second option: behind
It is the correct choice because it conveys the idea that the train is running late as per the scheduled or expected time. "Behind time" is a common expression used to indicate that something is delayed.
Question : Which of the following options is NOT a correct trigonometric identity?
Option 1: $1+\cot ^2 \theta =\operatorname{cosec}^2 \theta$
Option 2: $1+\tan ^2 \theta =\sec ^2 \theta$
Option 3: $1-\sin ^2 \theta =\cos ^2 \theta$
Option 4: $\cos ^2 \theta-\sin ^2 \theta=1$
Correct Answer: $\cos ^2 \theta-\sin ^2 \theta=1$
Solution : Let's check the options: Option 1: $1 + \cot^{2}\theta = \operatorname{cosec}^{2}\theta$. It is a trigonometric identity. Option 2: $1+\tan^{2}\theta = \sec^{2}\theta$. It is a trigonometric identity. Option 3: $1-\sin^{2}\theta = \cos^{2}\theta$. It is a trigonometric identity. Option 4: $\cos^{2}\theta - \sin^{2}\theta
Question : The midpoints of sides AB and AC of the triangle ABC are, respectively, X and Y. If (BC + XY) = 12 units, then the value of (BC – XY) is:
Option 1: 2 units
Option 2: 6 units
Option 3: 8 units
Option 4: 4 units
Correct Answer: 4 units
Solution : Given: (BC + XY) = 12 units -- (1) Since A line joining the midpoints of two sides of a triangle is half of the third side and also parallel to it. So, XY = $\frac{1}{2}$×BC ⇒ BC = 2XY Putting the value of
Question : When ice cubes are made, the entropy of water ?
Option 1: does not change
Option 2: decreases
Option 3: increases
Option 4: may either increase or decrease depending on the process used
Correct Answer: decreases
Solution : The correct option is Decreases.
The entropy of water decreases as ice cubes are formed. Entropy tends to rise when substances move from solid to liquid to gas. When water is frozen into ice, the water molecules become more organised and grouped in a crystalline
Question : The Indian Constitution was enacted on which of the following dates?
Option 1: 26th November 1949
Option 2: 26th January 1949
Option 3: 26th November 1950
Option 4: 26th January 1950
Correct Answer: 26th November 1949
Solution : The correct answer is 26th November 1949.
The Constituent Assembly of India, which was tasked with drafting the Constitution, completed its work on November 26 1949. This day marked the acceptance of the Constitution, with its final version being signed by Dr. Rajendra
Question : Directions: In the following question, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is "No Error".
The arm was so badly injured (1) / that he must have (2) / it amputated. (3) / No Error (4)
Solution : The correct choice is the second option.
The sentence is in the past perfect tense, as it is telling about an event that was completed after a past event. Thus, the correct usage is "he had to get" in place of "he must have".
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 4, 9, 16, 25, 36, ?
Option 1: 49
Option 2: 56
Option 3: 21
Option 4: 94
Correct Answer: 49
Solution : Given: 4, 9, 16, 25, 36, ?
In the given series, each number is the square of consecutive natural numbers. 4 = 22; 9 = 32; 16 = 42; 25 = 52; 36 = 62;
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".
So hoarse he was that he could not make the speech.
(1) So hoarse he was
(2) that he could not make
(3) the speech.
(4) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The original sentence has the word order reversed. In English, we typically use the word order "subject + verb + adjective/adverb" instead of "adjective/adverb + subject + verb." Therefore, the correct word order is "He was so hoarse," which makes the sentence grammatically correct.
Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, the sum of the squares of the numbers is:
Option 1: 120
Option 2: 126
Option 3: 132
Option 4: 138
Correct Answer: 126
Solution : Let the three positive numbers be $x, y,$ and $z$. The sum of three positive numbers, $x + y + z = 18$--------- (1) The product of the three numbers, $x × y × z = 162$---------------------- (2) Given that the sum of two numbers
Question : Directions: A family got split and the children of R were left with R's maternal grandfather's only granddaughter's father. How is the person with whom the children are left related to R?
Option 1: R's son
Option 2: R's paternal grandfather
Option 3: R's maternal grandfather
Option 4: R's father
Correct Answer: R's father
Solution : According to the given information, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, the person with whom R's children are left with is R's father. Hence, the fourth option
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