Staff Selection Commission Combined Graduate Level Exam
Question : The length of the common chord of two intersecting circles is 24 cm. If the diameters of the circles are 30 cm and 26 cm, then the distance between the centres (in cm) is:
Option 1: 13
Option 2: 14
Option 3: 15
Option 4: 16
Correct Answer: 14
Solution : The common chord of two intersecting circles forms a right angle with the line joining the centres of the two circles. Let the radii of the two circles as $r_1$ and $r_2$, and the distance between the centres as $d$. The length of the common
Question : What is the value of $\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{36}}}}}$?
Option 1: 69
Option 2: 68
Option 3: 70
Option 4: 72
Correct Answer: 68
Solution : Given: $\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{36}}}}}$ $\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{6^2}}}}}$ $=\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{256}}}}$ $=\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{16^2}}}}$ $=\sqrt{4600+\sqrt{540+\sqrt{1296}}}$ $=\sqrt{4600+\sqrt{540+\sqrt{36^2}}}$ $=\sqrt{4600+\sqrt{576}}$ $=\sqrt{4600+\sqrt{24^2}}$ $=\sqrt{4624}$ $=\sqrt{68^2}$ $=68$ Hence, the correct answer is 68.
Question : In which market firm, a market or an industry is dominated by a single seller?
Option 1: Oligopoly
Option 2: Monopoly
Option 3: Duopoly
Option 4: Monopolistic competition
Correct Answer: Monopoly
Solution : The correct answer is Monopoly.
Monopoly is the market structure where there is just one seller or producer. A monopoly restricts the number of product alternatives accessible and makes it difficult for rivals to enter the market.
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.
He was ________by nature and so avoided all company.
Option 1: anti-social
Option 2: timid
Option 3: gregarious
Option 4: cordial
Correct Answer: timid
Solution : The correct answer is in option two.
The correct sentence is: 'He was timid by nature and so avoided all company."
Timid means shy and lacking confidence. In this context, it means that the speaker was afraid of social interaction and so avoided it.
Question : Which of the following pair of compound's boiling points is correct?
I. Chloroform - 334K
II. Methane - 111K
Option 1: Only I
Option 2: Neither I nor II
Option 3: Only II
Option 4: Both I and II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
Chloroform is a polar covalent compound with a molecular formula of CHCl3. It contains chlorine atoms that are more electronegative than hydrogen, leading to a polar covalent bond between carbon and chlorine.
Question : Which of the following reforming societies believed Vedas to be the fountain of all the knowledge?
Option 1: Theosophical Society
Option 2: Prarthana Samaj
Option 3: Arya Samaj
Option 4: Brahmo Samaj
Correct Answer: Arya Samaj
Solution : The correct answer is Arya Samaj.
The Vedas are considered to be the fountain of all knowledge. The Vedas are the ultimate source from which all religious knowledge can be traced. The Vedas are the oldest texts of Hinduism. The Vedas are the
Question : Comprehension: Read the following passage and answer the questions given after it.
At the end of 2020, there were 82.4 million forcibly displaced people in the world, of which more than a quarter are refugees.
"By the end of 2020, the number of people forcibly displaced due to persecution, conflict, violence, human rights violations, and events seriously disturbing public order, had grown to 82.4 million, the highest number on record according to available data," according to the UN High Commissioner for Refugees (UNHCR). Out of these 82.4 million forcibly displaced people in the world, more than a quarter are refugees.
Just five countries produce 68% of all refugees displaced abroad: the Syrian Arab Republic, Venezuela, Afghanistan, South Sudan, and Myanmar.
The top five host countries, where these displaced people are currently located are Turkey, Colombia, Germany, Pakistan, and Uganda.
With 3.7 million displaced people now within its borders, Turkey hosts twice as many refugees as Colombia, the next highest host country, with 1.7 million people. The situation in Turkey illustrates the effects of proximity, as 92% of its refugees have come from neighbouring Syria, where war and armed conflict have now been raging for more than 10 years. It demonstrates that huge numbers of displaced people stay close to their point of origin.
There are more than 48 million internally displaced people - people who have had to flee their homes in search of safety elsewhere within their home nation.
The highest increases in the number of internally displaced people happened in Africa and were provoked by a combination of armed conflict and humanitarian disasters. The civil war in Ethiopia, Africa's second most-populated country, has sparked a wave of displacement in a region that was already facing what the UNHCR calls "a full-scale humanitarian crisis."
All in all, more than a million Ethiopian people had to leave their homes behind last year, the UNHCR says.
Question: Which statement is NOT true according to the passage?
Option 1: More than a million Ethiopian people were displaced last year due to civil war.
Option 2: There are 82.4 million displaced persons in the world.
Option 3: Turkey is presently hosting 3.7 million displaced people within its borders.
Option 4: 1.7 million people from Syria have been displaced till now due to war and armed conflict.
Correct Answer: 1.7 million people from Syria have been displaced till now due to war and armed conflict.
Solution : The right choice is the fourth option.
According to the information in the passage, Turkey hosts twice as many refugees as Colombia, making it more than 1.7 million people.
Question : Select the most appropriate synonym of the given word. Announced
Option 1: Estrange
Option 2: Declared
Option 3: Secret
Option 4: Hid
Correct Answer: Declared
Solution : The correct choice is the second option.
Declared is the synonym that closely matches the meaning of announced, as both words involve making information or statements known to others, often in a formal or official manner.
The meanings of the other options are as
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'K' can be represented by 00, 24, etc., and 'A' can be represented by 55, etc. Similarly, you have to identify the set for the word.
'SHIP'
Option 1: 31, 56, 43, 10
Option 2: 89, 12, 40, 99
Option 3: 04, 21, 76, 44
Option 4: 89, 56, 34, 11
Correct Answer: 31, 56, 43, 10
Solution : Given: SHIP
Number representations of each letter: S → 04, 89, 31 H → 12, 56, 77 I → 43, 76, 88 P → 10, 44, 99
First option: 31, 56, 43, 10 All the letters of the word SHIP can
Question : Find the average of the following sets of numbers. 693, 456, 876, 532, 934, 691, 596, 398, 682
Option 1: 550.50
Option 2: 750.80
Option 3: 650.89
Option 4: 725.90
Correct Answer: 650.89
Solution : Average $=\frac{693+456+876+532+934+691+596+398+682}{9} = 650.89$ Hence, the correct answer is 650.89.
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