Staff Selection Commission Sub Inspector Exam
Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $\sqrt{x^3+y^3+z^3+x y z}$ is:
Option 1: 32
Option 2: 30
Option 3: 28
Option 4: 35
Correct Answer: 35
Solution : We know, $x^3 + y^3 + z^3 = (x + y + z)[(x + y + z)^2 - 3(xy + yz + zx) + 3xyz]$ Now, We have- $\sqrt{x^3 + y^3 + z^3 + xyz}$ $=\sqrt{(x + y + z)[(x + y + z)^2 -
Question : Eight-time world champion squash player Nicol David belongs to which country?
Option 1: Germany
Option 2: Malaysia
Option 3: Ghana
Option 4: Argentina
Correct Answer: Malaysia
Solution : The correct answer is Malaysia
Nicol David, a Malaysian squash player born in Penang, Malaysia, on August 26, 1983, rose to prominence in the sport early in the twenty-first century and became the first player to win eight World Open titles (2005–06, 2008–12, 2014). David
Question : Directions: In a code language, ELEMENT is written as 5, 12, 5, 13, 5, 14, 20 and ALLOY is written as 1, 12, 12, 15, 25. How will VIBRANIUM be written in that language?
Option 1: 22, 9, 2, 18, 14, 1, 9, 21, 13
Option 2: 22, 9, 2, 18, 1, 14, 21, 9, 13
Option 3: 22, 9, 2, 18, 1, 14, 9, 21, 13
Option 4: 22, 9, 2, 14, 18, 1, 9, 21, 13
Correct Answer: 22, 9, 2, 18, 1, 14, 9, 21, 13
Solution : Given: ELEMENT is written as 5, 12, 5, 13, 5, 14, 20 and ALLOY is written as 1, 12, 12, 15, 25.
Write the place values of the letters of ELEMENT, to obtain the required code –
Question : Directions: In the following question, the set of alphabets below follows a particular pattern. Which option does not follow the pattern? AE, GK, YC, MQ
Option 1: XB
Option 2: WZ
Option 3: RV
Option 4: LP
Correct Answer: WZ
Solution : Given: AE, GK, YC, MQ
In each pair 4 is added to the first letter to obtain the second letter. AE→A + 4 = E; GK→G + 4 = K; YC→Y + 4 = C; MQ→M + 4 = Q Let's check the options: First
Question : Comprehension:
Read the given passage and answer the questions that follow.
Ghana was the first true African state. The reason why we are saying this is that most African states lived in tribal villages but Ghana was the centre of the gold trade. This gold trade opened new possibilities for the Ghanaians. The gold trade roots back to the 4th century, when African Soninke tribes were under the rule of the Maga, a Berber clan originating from Morocco. This clan has mastered trans-Saharan camel travel. They were known for trading salt for gold from the Soninke.
When the Arabs invaded North Africa, there was an upsurge in the trade in gold. Ghana became rich and soon after, the Soninke ousted the Maga and built their own nation under Kaya Magan Cisse, who became the Soninke king around 790.
Ghana’s ancient capital, Koumbi Salah, was the city where Africans and Berbers met and traded. Arab traders in the 9th century described Ghana as ‘the land of gold.’ The gold came from Asante and Senegal to the south and west. The trade routes led north and east to Morocco, Libya Aksum and so on to Europe and Asia.
Ghana had reached its peak in the 10th century. This was the country which controlled both the gold and salt trades. Other trading goods included woollen clothes, luxury items, leather goods and slaves. Traders transported goods hundreds of kilometres across the Sahara desert with camel caravans.
Question: Select the most appropriate title for the passage.
Option 1: Ghana – land of gold
Option 2: Ghana – land of tribes
Option 3: Ghana – land of Berbers
Option 4: Ghana – land of trade
Correct Answer: Ghana – land of gold
Solution : The correct choice is the first option.
The passage highlights how Ghana became rich through the gold trade, its control over both gold and salt trades, and the description of the city of Koumbi Salah as a place where Africans and
Question : In which year was the "National Food for Work Programme" launched in India?
Option 1: 2002
Option 2: 1991
Option 3: 2004
Option 4: 2000
Correct Answer: 2004
Solution : The correct answer is 2004.
In India, the "National Food for Work Programme" was introduced in 2004. In 150 underdeveloped Indian areas, it was introduced on November 14, 2004. Its goal was to create jobs with higher wages. This programme is supported centrally.
Question : Corundum is an ore of:
Option 1: aluminium
Option 2: silver
Option 3: copper
Option 4: iron
Correct Answer: aluminium
Solution : The correct answer is aluminium.
Corundum is an ore of aluminium. It is the crystalline form of aluminium oxide. It is the second hardest known natural substance after diamond. Its finer varieties are gemstones, sapphire, and rubies. The ore of iron is hematite, limonite,
Question : If exports equal imports, then which of the following relations will be true?
Option 1: Gross Domestic Product (GDP) = Gross National Product (GNP)
Option 2: Gross Domestic Product (GDP) > Gross National Product (GNP)
Option 3: Gross Domestic Product (GDP) < Gross National Product (GNP)
Option 4: None of these
Correct Answer: Gross Domestic Product (GDP) = Gross National Product (GNP)
Solution : The correct answer is GDP = GNP.
Gross Domestic Product (GDP) is the sum of the ultimate value of goods and services generated inside a country's domestic territory over a specific amount of time.
The gross national
Question : The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.
What are the average marks, in percentage, obtained by X?
Option 1: 76.5%
Option 2: 80.5%
Option 3: 82.5%
Option 4: 85.5%
Correct Answer: 82.5%
Solution : According to the question, Total marks obtained by X in all subjects = Maths + Physics + Chemistry + Botany + Hindi Marks obtained in Maths = 70% of 300 = 0.70 × 300 = 210 Marks obtained in Physics = 90% of 300 =
Question : What is the value of $\small \frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$?
Option 1: 0.3
Option 2: 0.7
Option 3: 0.9
Option 4: 1.1
Correct Answer: 0.3
Solution : Consider, $\frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$ We know, $a^3-b^3=(a-b)(a^2+ab+b^2)$ $=\frac{(0.7-0.4)((0.7)^{2}+0.7\times 0.4+(0.4)^{2})}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$ $=0.7 - 0.4$ $= 0.3$ Hence, the correct answer is 0.3.
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