Staff Selection Commission Sub Inspector Exam
Question : If $x = 5.51, y = 5.52$, and $z = 5.57$, then what is the value of $x^3+y^3+z^3-3xyz$?
Option 1: 5.146
Option 2: 51.46
Option 3: 0.05146
Option 4: 0.5146
Correct Answer: 0.05146
Solution : Given: The values of $x = 5.51, y = 5.52$, and $z = 5.57$ Use the algebraic identity, $x^3+y^3+z^3-3xyz=\frac{1}{2}(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]$ So, $x^3+y^3+z^3-3xyz$ $=\frac{1}{2}(5.51+5.52+5.57)[(5.51-5.52)^2+(5.52-5.57)^2+(5.57-5.51)^2]$ $=\frac{1}{2}\times 16.6\times [(–0.01)^2+(–0.05)^2+(0.06)^2]$ $=8.3\times [0.0001+0.0025+0.0036]$ $=8.3\times 0.0062=0.05146$ Hence, the correct answer is 0.05146.
Question : Select the most appropriate meaning of the given idiom. Belly laugh.
Option 1: Mocking someone.
Option 2: Laughing with inhibition.
Option 3: A loud and unrestrained laugh.
Option 4: To be subjected to mockery and ridicule.
Correct Answer: A loud and unrestrained laugh.
Solution : The correct choice is the third option.
The idiom belly laugh refers to hearty, deep, and unrestrained laughter that comes from the abdomen or belly, expressing genuine amusement or joy. It signifies a loud, robust, and often contagious form of
Question : Identify the sentence that correctly uses the indefinite article.
Option 1: In an big city like Mumbai, we see lot of rubbish being thrown from households and factories.
Option 2: In big city like Mumbai, we see a lot of rubbish being thrown from households and factories.
Option 3: In a big city like Mumbai, we see a lot of rubbish being thrown from households and factories.
Option 4: In a big city like Mumbai, we see an lot of rubbish being thrown from households and factories.
Correct Answer: In a big city like Mumbai, we see a lot of rubbish being thrown from households and factories.
Solution : The third option is correct.
The use of (a) before big city and a lot is correct, as the indefinite article is used to refer to a non-specific
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A broad definition of wetlands (1)_______ ecosystems such as lakes and rivers, underground aquifers, swamps, coral reefs, and many others; but also human-made artificial sites (2)_______ fishponds or reservoirs. Though they cover only around 6 per cent of the Earth’s land surface, 40 per cent of all plant and animal species live in or breed in them. Wetlands are also vital for human well-being and security. More than a billion people across the world depend on them for their livelihoods—about one in eight people on Earth. According to the UN Environment Programme (UNEP), these ecosystems are also the unsung heroes of the climate crisis. In fact, they (3)_______ more carbon than any other ecosystem, with peatlands alone storing twice (4)_______ all the world’s forests. Inland wetland ecosystems absorb excess water and help prevent floods and drought, something critical to help communities adapt to a changing climate. In the words of Leticia Carvalho, Principal Coordinator for Marine and Freshwater at UNEP, healthy wetlands ‘punch above their weight in terms of benefits’. The theme for the very first World Day is “Wetlands Action for People and Nature”. It serves as an urgent call to act and to invest financial, human, and political capital to save the world’s wetlands from disappearing altogether and to restore those areas already lost. Wetlands are disappearing three times (5)_______ forests and are Earth’s most threatened ecosystem. In just 50 years—since 1970—35 per cent of the world’s wetlands have evaporated.
Question:
Select the most appropriate option to fill in the blank number 5.
Option 1: faster than
Option 2: fastest than
Option 3: much than
Option 4: more than
Correct Answer: faster than
Solution : The correct choice is the first option.
The phrase three times faster than indicates the rate at which wetlands are disappearing in comparison to forests. This means that the rate of disappearance of wetlands is three times the rate of disappearance of forests.
Question : Directions: Rohit drives 3 km north from point A. He takes a left turn and drives 4 km. Again, he takes a left turn and drives 6 km. Finally, he takes a left turn and drives 4 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 4 km towards south
Option 2: 3 km towards East
Option 3: 3 km towards north
Option 4: 2 km towards west
Correct Answer: 3 km towards north
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the direction to reach point A.
From the above diagram, the distance from point B to point A is 3 km and point A is
Question : Directions: The line chart given below represents the runs scored by Kohli and Sharma against 5 teams. What is the difference between the total runs scored by Kohli against the teams Q and R and the total runs scored by Sharma against the teams Q and R?
Option 1: 200
Option 2: 400
Option 3: 900
Option 4: 800
Correct Answer: 800
Solution : Runs scored by Kohli against Q and R = 1100 + 1400 = 2500 Runs scored by Sharma against Q and R = 700 + 1000 = 1700 Difference = 2500 – 1700 = 800 Hence, the correct answer is 800.
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."
His new job necessitated his getting up at six.
(1) necessitated his
(2) His new job
(3) getting up at six.
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The answer is the fourth option, as there is no error in the sentence.
The sentence is grammatically correct and doesn't need any improvement. It conveys clearly that his new job required him to wake up at six o'clock.
Therefore, the sentence is "His
Question : Who among the following is a soccer star?
Option 1: Cristiano Ronaldo
Option 2: Neymar da Silva Santos Júnior
Option 3: Lionel Messi
Option 4: Luis Suarez
Correct Answer: Lionel Messi
Solution : The correct option is Lionel Messi.
Lionel Messi is widely regarded as one of the greatest soccer players of all time. Born on June 24, 1987, in Rosario, Argentina, Messi spent the majority of his career with FC Barcelona, where he became the club's
Question : Which dance form of Goa is also known as the "Warrior Dance"?
Option 1: Bihu
Option 2: Lavani
Option 3: Ghode Modni
Option 4: Rauf
Correct Answer: Ghode Modni
Solution : The correct answer is Ghode Modni.
"Ghode Modni" is one of the most popular folk dances of Goa. This dance form is also known by the name of Warrior Dance. The dancers hang dummy horses around their necks and carry swords in their
Question : Which among the following gases is also known as ‘Laughing Gas’?
Option 1: Sulphur dioxide
Option 2: Nitrogen oxide
Option 3: Carbon dioxide
Option 4: Carbon monoxide
Correct Answer: Nitrogen oxide
Solution : The correct option is Nitrogen oxide.
Nitrous oxide (N2O) is a colourless, odourless gas with the chemical formula N2O. It is commonly referred to as "Laughing Gas" due to the euphoric and sometimes giggly effects it can produce when
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