Staff Selection Commission Combined Graduate Level Exam
Question : The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.
Option 1: $\frac{\sqrt{20} \mathrm{~b}}{2}$
Option 2: $\frac{\mathrm{b}}{2}$
Option 3: $\frac{\sqrt{21} \mathrm{~b}}{2}$
Option 4: $\frac{\sqrt{19} \mathrm{~b}}{2}$
Correct Answer: $\frac{\sqrt{21} \mathrm{~b}}{2}$
Solution : According to the question, b = 2 × height ⇒ Height = $\frac{1}{2}$b Also, b = $\frac12\times$length ⇒ Length = 2b Length of the diagonal $=\sqrt{l^2+b^2+h^2}$ $=\sqrt{(2b)^2+b^2+(\frac12b)^2}$ $=\sqrt{4b^2+b^2+\frac {b^2}{4}}$ $=\sqrt{\frac{16b^2+4b^2+b^2}{4}}$ $=\sqrt{\frac{21b^2}{4}}$ $=\frac{\sqrt{21}b}{2}$ Hence, the correct answer is $\frac{\sqrt{21}b}{2}$.
Question : Which country has three capitals viz. Administrative , Legislative and Judicial ?
Option 1: Chile
Option 2: Malaysia
Option 3: Canada
Option 4: South Africa
Correct Answer: South Africa
Solution : The Correct Answer is South Africa
There are three capital cities in South Africa: the Administrative, Legislative, and Judicial. The legislative capital is Cape Town, where the Parliament is located, while Pretoria is the administrative capital. The capital of justice has historically been regarded
Question : Select the most appropriate synonym of the given word.
SENTIMENT
Option 1: Antipathy
Option 2: Concrete
Option 3: Hatred
Option 4: Feeling
Correct Answer: Feeling
Solution : The correct choice is the fourth option.
The term sentiment generally refers to a thought, feeling, or attitude, often expressed subjectively and emotionally. Among the options provided, feeling is the most suitable synonym for "sentiment".
The meanings of other words are as follows:
Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Through the development of technologies, telecommunications, transportation, and other areas, globalisation has developed very quickly in the last few decades, resulting in economic, social, political, and cultural integration on a global scale. B. Although technology has had both positive and harmful effects on human life, its negative repercussions must be addressed appropriately. C. Globalisation has made significant positive contributions to economies all across the world. D. For example, science and technology have made remarkable strides, providing businesses with a fantastic opportunity to expand quickly even outside of national borders.
Option 1: ACDB
Option 2: BCDA
Option 3: ACBD
Option 4: CDBA
Correct Answer: CDBA
Solution : The correct choice is the fourth option: CDBA.
The paragraph begins by discussing the positive contributions of globalisation (sentence C) and then, provides an example of how science and technology have played a role (sentence D). It then mentions the need to address the
Question : A bag contains INR 550 in the form of 50 p, 25 p, and 20 p coins in the ratio 2 : 3 : 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:
Option 1: INR 30
Option 2: INR 20
Option 3: INR 10
Option 4: INR 0
Correct Answer: INR 0
Solution : Given: A bag contains INR 550 in the form of 50 p, 25 p, and 20 p coins in the ratio 2 : 3 : 5. So, the ratio of the amount contributed = 100 : 75 : 100= 4 : 3 : 4
Question : __________ emerged as the poorest state as per the first-ever Multidimensional Poverty Index (MPI) prepared by NITI Aayog and launched in November 2021.
Option 1: Bihar
Option 2: Madhya Pradesh
Option 3: Uttar Pradesh
Option 4: Mizoram
Correct Answer: Bihar
Solution : The correct option is Bihar
In November 2021, the government think tank NITI Aayog unveiled the inaugural Multidimensional Poverty Index (MPI) to assess poverty at national, State/UT, and district levels. According to the first-ever index, Bihar has been identified as the state with the highest
Question : Select the most appropriate ANTONYM of the given word. Bulk
Option 1: Handful
Option 2: Heavy
Option 3: Staple
Option 4: Brunt
Correct Answer: Handful
Solution : The first option is the correct choice.
Handful means a small quantity that can be held in one hand. In contrast to bulk, which refers to a large mass or volume, a handful is a small amount.
The meanings of the other options are as
Question : Directions: Three statements are given followed by four conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically does NOT follow(s) from the statements. Statements: I. All P is G. II. Some G is B. III. All B is C. Conclusions: I. All P being C is a possibility. II. Some P is B. III. Some C is G. IV. Some G is P.
Option 1: Only III does not follow
Option 2: Only IV does not follow
Option 3: Only II does not follow
Option 4: Only I does not follow
Correct Answer: Only II does not follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: All P being C is a possibility – It is a possibility that the circle representing P is completely overlapped by
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 97, 131, 165, 199, 233, ?
Option 1: 260
Option 2: 273
Option 3: 251
Option 4: 267
Correct Answer: 267
Solution : Given: 97, 131, 165, 199, 233, ? Add 34 to each number to get the next number of the series. 97 + 34 = 131,131 + 34 = 165, 165 + 34 = 199, 199 + 34 = 233, 233 + 34 = 267 So,
Question : A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:
Option 1: 16 days
Option 2: 24 days
Option 3: 28 days
Option 4: 29 days
Correct Answer: 24 days
Solution : Given: A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. ⇒ In 1 day A can do $\frac{1}{18}$th part of the work ⇒ In 12 days
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