Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 7 : 25 :: 4 : 4 :: 3 : ?
Option 1: 5
Option 2: 4
Option 3: 1
Option 4: 7
Correct Answer: 1
Solution : Given: 7 : 25 :: 4 : 4 :: 3 : ?
Like, 7 : 25→(7 – 2)2 = (5)2 = 25 And, 4 : 4→(4 – 2)2 = (2)2 = 4 Similarly, for 3 : ?→(3 – 2)2 = (1)2 = 1
So, 1 is related to 3 in the same way as the second term is related to the first term, and the fourth term is related to the third term. Hence, the third option is correct.
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".
Do you know (1) / whom the (2) next speaker is? (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error lies in the second part of the sentence.
Explanation: The relative pronoun "whom" is used for the object of a verb or preposition, while "who" is used for the subject. In this case, "who" is the correct choice because it is the subject of the verb "is".
Therefore, the correct sentence should be: "Do you know who the next speaker is?"
Question : If $a \cot \theta=b$, what will be the value of $\frac{b \cos \theta–a \sin \theta}{b \cos \theta+a \sin \theta}$?
Option 1: $\frac{b^2+a^2}{b^2–a^2}$
Option 2: $b^2+a^2$
Option 3: $\frac{b^2–a^2}{b^2+a^2}$
Option 4: $0$
Correct Answer: $\frac{b^2–a^2}{b^2+a^2}$
Solution : Given: $a \cot \theta=b$ $⇒\cot \theta=\frac{b}{a}$ $⇒\frac{\cos \theta}{\sin \theta}=\frac{b}{a}$ Let $\cos a = bk $ and $\sin a =ak$ (where $k$ is a constant) Putting these values in the expression, we get, $\frac{b \cos \theta–a \sin \theta}{b \cos \theta+a \sin \theta}$ $=\frac{b×bk-a×ak}{b×bk+a×ak}$ $=\frac{k(b^2–a^2)}{k(b^2+a^2)}$ $=\frac{b^2–a^2}{b^2+a^2}$ Hence, the correct answer is $\frac{b^2–a^2}{b^2+a^2}$.
Question : Comprehension: Read the given passage and answer the questions that follow. Plato is the earliest important educational thinker, and education is an essential element in 'The Republic' (his most important work on philosophy and political theory, written around 360 B.C.). In it, he advocates some rather extreme methods: removing children from their mothers' care and raising them as wards of the state, and differentiating children suitable to the various castes, the highest receiving the most education, so that they could act as guardians of the city and care for the less able. He believed that education should be holistic, including facts, skills, physical discipline, music, and art. Plato believed that talent and intelligence are not distributed genetically and thus can be found in children born to all classes, although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model.
Aristotle considered human nature, habit, and reason to be equally important forces to be cultivated in education, the ultimate aim of which should be to produce good and virtuous citizens. He proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates' emphasis on questioning his listeners to bring out their own ideas. He emphasized the balancing of the theoretical and practical aspects of subjects taught, among which he explicitly mentions reading, writing, mathematics, music, physical education, literature, history, and a wide range of sciences, as well as play, which he also considered important.
Question: Which of these statements is NOT true?
Option 1: Socrates encouraged the listeners to come up with original ideas.
Option 2: The Republic was written around 360 A.D.
Option 3: Socrates considered music and physical education as important aspects of learning.
Option 4: Plato's methods of education can be called 'extreme'.
Correct Answer: The Republic was written around 360 A.D.
Solution : The second option is the correct choice.
The statement the Republic was written around 360 A.D. is not true.
Explanation: The Republic, Plato's most important work on philosophy and political theory, was written around 360 B.C., not 360 A.D. The use of B.C. (Before Christ) and A.D. (Anno Domini) helps specify the historical period. Plato lived in ancient Greece, and his influential work was composed in the 4th century B.C., making the correct time reference.
Question : Directions: In the following question, which one is the wrong number in the given series? 7, 56, 447, 3584, 28672
Option 1: 3584
Option 2: 56
Option 3: 7
Option 4: 447
Correct Answer: 447
Solution : Given: 7, 56, 447, 3584, 28672
In the above-given series, multiply the previous number by 8 to get the next number. 7 × 8 = 56; 56 × 8 = 448 ≠ 447; 448 × 8 = 3584; 3584 × 8 = 28672
So, 447 is the wrong number as it doesn't follow the pattern. Hence, the fourth option is correct.
Question : When a magnesium ribbon is burnt in oxygen, it gets converted to ______.
Option 1: magnesium peroxide
Option 2: magnesium hydroxide
Option 3: magnesium carbonate
Option 4: magnesium oxide
Correct Answer: magnesium oxide
Solution : The correct option is magnesium oxide.
When a magnesium ribbon is burned in oxygen, it is converted into magnesium oxide (MgO). The chemical reaction can be represented as follows: 2Mg + O2 → 2MgO. This reaction is an example of a combustion reaction, where magnesium reacts with oxygen to form magnesium oxide, releasing energy in the form of light and heat.
Question : Direction: In the following series, how many HIG occur in such a way that I is in the middle and H and G are adjacent to it on both sides?
GGHIHIIGGJKLMGIHIG
Option 1: 3
Option 3: 5
Correct Answer: 2
Solution : Given:
By checking the number of HIG, such that I is in the middle and H and G are adjacent to it on both sides -
GGHIHIIGGJKLMGIHIG = GIH and HIG
So, there are two HIG's that follow the pattern.
hence, second option is correct.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
(Bacteria is) the most common form of life
(1) Bacteria are
(2) Bacterium are
(3) Bacteria was
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Explanation:
"Bacteria are" is the correct form because "bacteria" is a plural noun, and the verb should agree in number, so it should be "are" whereas "bacterium are" is incorrect because "bacterium" is a singular form and cannot agree with the plural verb.
So, the correct sentence would be: "Bacteria are the most common form of life."
Question : Which of the following states in India, from October to December, receive rainfall due to northeast monsoon?
Option 1: Tamil Nadu, Kerala and Andhra Pradesh
Option 2: Punjab, Haryana and Madhya Pradesh
Option 3: Andhra Pradesh, Madhya Pradesh and Karnataka
Option 4: Uttar Pradesh, Bihar and West Bengal
Correct Answer: Tamil Nadu, Kerala and Andhra Pradesh
Solution : The correct option is Tamil Nadu, Kerala and Andhra Pradesh.
The rainy season for Tamil Nadu, Kerala, and Andhra Pradesh is the northeast monsoon. Usually, starting across southern India between October and December of each year, this monsoon system is seasonal. The northeast monsoon is characterised by winds that liberally deposit moisture across the southern states of Tamil Nadu, Andhra Pradesh, Kerala, and even the southern parts of Telangana and Karnataka after sweeping it up from the Bay of Bengal.
Question : Select the correct indirect form of the given sentence. The blind man said to me, “Can you help me cross the road?”
Option 1: The blind man asked me if I could help him cross the road.
Option 2: The blind man asked me if I will help him cross the road.
Option 3: The blind man asked me if I could help him crossed the road.
Option 4: The blind man asked me if I can help him cross the road.
Correct Answer: The blind man asked me if I could help him cross the road.
Solution : The first option is the correct choice.
The steps of conversion are as follows:
Therefore, the correct answer is: "The blind man asked me if I could help him cross the road."
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