Staff Selection Commission Sub Inspector Exam
Question : The outer circumference of the circular race track is 528 metres. The track is everywhere 14 metres wide. The cost of levelling the track at the rate of Rs. 10 per sq. metre is:
Option 1: Rs. 77,660
Option 2: Rs. 66,760
Option 3: Rs. 76,760
Option 4: Rs. 67,760
Correct Answer: Rs. 67,760
Solution : Given, The outer circumference of the circular race track = 528 metre Width of track = 14 m Cost of levelling = Rs. 10 per sq. metre Let the outer radius be $r$. So, $2 \pi r = 528$ ⇒ $r=\frac{528\times 7}{2\times 22}$ ⇒
Question : A boy found that the average of 20 numbers is 35 when he mistakenly wrote the number '61' instead of '16'. What is the correct average of the 20 numbers?
Option 1: 32.75
Option 2: 37.25
Option 3: 34.75
Option 4: 34.25
Correct Answer: 32.75
Solution : Given: A boy found that the average of 20 numbers is 35. When he writes a number '61' instead of '16'. Difference = 61 – 16 = 45 $\therefore$ Correct average = 35 – $\frac{45}{20}$ = 35 – 2.25 = 32.75 Hence, the correct answer
Question : Dumb-bell shaped guard cells are present in
Option 1: Groundnut
Option 2: Gram
Option 3: Wheat
Option 4: Mango
Correct Answer: Wheat
Solution : The correct option is Wheat.
Guard cells of monocotyledonous or monocot plants such as wheat are generally elongated or dumbbell-like. Guard cells in monocots are often placed parallel to one another within the stomata. The presence of kidney-shaped guard cells is a distinguishing trait of
Question : Identify the option that rectifies the underlined spelling error in the given sentence. Mountainering is now looked upon as the king of sports.
Option 1: Mounteineering
Option 2: Mountainearing
Option 3: Mountaineering
Option 4: Mountainouring
Correct Answer: Mountaineering
Solution : The correct answer is the third option.
The correct spelling is "mountaineering". The word "mountaineering" refers to the sport or activity of climbing mountains, especially as a recreational pursuit.
Therefore, the correct answer is mountaineering.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
He is having (1) / many (2) / friends here. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the first part of the sentence.
The speaker is talking about his friends, which is a case of possession. So in this case, has should be used instead of is having.
Therefore, the correct sentence is: He has many friends here.
Question : If P is circumcentre in $\triangle$ ABC, $\angle$BPC = $30^{\circ}$, what is the value (in degrees) of $\angle$BAC ?
Option 1: 15
Option 2: 60
Option 3: 75
Option 4: 105
Correct Answer: 15
Solution : The angle subtended by any chord of a circle at the centre of a circle is twice the angle subtended at the major arc by the same chord. $\angle$BAC = $\frac{1}{2} \angle$BPC = $\frac{1}{2}×30^{\circ}$ = $15^{\circ}$ Hence, the correct answer is 15.
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.
Can you be able to please tone down your excitement?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct option is the third option.
Explanation:
The sentence structure in the third option suggests a polite request. Moreover, "can" and "able" cannot be used together, as "able" itself means a capacity to do something, which replaces "can" very often.
The other options have
Question : A loan of Rs. 12300 at 5% per annum Compound Interest be repaid in two equal annual instalments at the end of every year. Find the amount of each instalment.
Option 1: Rs. 6651
Option 2: Rs. 6615
Option 3: Rs. 6516
Option 4: Rs. 6156
Correct Answer: Rs. 6615
Solution : Let the instalment value be Rs. $P$. According to the concept, $\frac{x}{(1+\frac{R}{100})} +\frac{x}{(1+\frac{R}{100})^2} +...........+\frac{x}{(1+\frac{R}{100})^n} =A$ where $x$ is the instalment value, 'A' is the total amount that was created in instalments and n is the number of instalments. $P(1+\frac{5}{100})+P=12300(1+\frac{5}{100})^{2}$ ⇒ $1.05P+P=12300×\frac{21}{20}×\frac{21}{20}$ ⇒ $2.05P=13560.75$ ⇒
Question : A grocer sells rice at 10% profit and uses weights which are 20% less than the market weight. The total gain percentage earned by him is:
Option 1: $33 \frac{1}{3}$%
Option 2: $20$%
Option 3: $40$%
Option 4: $37.5$%
Correct Answer: $37.5$%
Solution : A grocer sells rice at 10% profit. Let the cost price of the rice be 100. Selling price = 100 + 10 = 110 He uses weights that are 20% less than the market weight. Original cost of that rice = 100 – 20 =
Question : Which among the following is the longest river of Peninsular India?
Option 1: Luni
Option 2: Narmada
Option 3: Krishna
Option 4: Godavari
Correct Answer: Godavari
Solution : The correct answer is Godavari
The Dakshin Ganga is another name for the River Godavari. The Godavari River spans 1500 kilometres. Godavari River rises in the Nasik district of Maharashtra, on the Western Ghats' foothills. With flowing into the Bay of Bengal, the Godavari River
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