Staff Selection Commission Sub Inspector Exam
Question : The bar graph given here shows the data on the production of cars by three different companies X, Y, and Z over the years. For which of the following years is the percentage rise/fall in the production from the previous year the maximum for company Y?
Option 1: 2019
Option 2: 2018
Option 3: 2016
Option 4: 2017
Correct Answer: 2017
Solution : Production of cars by Y in 2016 = 25 Production of cars by Y in 2017 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-25}{25}\times100=40$% Production of cars by Y in
Question : The profit obtained on selling an article for Rs. 310 is equal to the loss incurred on selling that article for Rs. 230. What will be the loss percentage when the selling price is Rs. 180?
Option 1: $16\frac{1}{3}$
Option 2: $16\frac{2}{3}$
Option 3: $33\frac{1}{3}$
Option 4: $33\frac{2}{3}$
Correct Answer: $33\frac{1}{3}$
Solution : According to the question, 310 – Cost price = Cost price – 230 ⇒ Cost price = $\frac{310 + 230}{2}=270$ When selling price = INR 180 Loss percentage = $\frac{270-180}{270}$×100 = $33\frac{1}{3}$% Hence, the correct answer is $33\frac{1}{3}$.
Question : If $\frac{2 \sin A-\cos A}{\sin A+\cos A}=1$, then find the value of $\cot A$.
Option 1: $1$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $2$
Correct Answer: $\frac{1}{2}$
Solution : Given, $\frac{2 \sin A-\cos A}{\sin A+\cos A}=1$ Taking $\sin A$ as common ⇒ $\frac{\sin A(2-\frac{\cos A}{\sin A})}{\sin A(1+\frac{\cos A}{\sin A})}=1$ ⇒ $2-\cot A=1+\cot A$ ⇒ $2\cot A = 1$ ⇒ $\cot A = \frac12$ Hence, the correct answer is $\frac12$.
Question : Directions: Find out the number of triangles in the given figure.
Option 1: 13
Option 2: 15
Option 3: 16
Option 4: 17
Correct Answer: 16
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 16 triangles. They are ABK, KBN, KLJ, HIM, HNF, FHG, NLM, NKH, BCN, NEF, CNE, DCE, BDF, KEG, ACH, ADG.
Hence, the third option is
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".
Kindly confirm by letter and telephone (1) / that you will be able (2) / to attend the interview. (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 second part of the sentence.
That should be replaced with whether. The conjunction that is used to introduce the reported clause and whether is used in case of two or more alternatives.
Therefore, the correct sentence is: Kindly confirm
Question : Who was the first ecologist to describe the specific shape of eco-trophic interactions, which he called the pyramid of numbers, in the 1920s?
Option 1: Charles Elton
Option 2: Ernst Haeckel
Option 3: Howard Thomas Odum
Option 4: E. O. Wilson
Correct Answer: Charles Elton
Solution : The correct option is Charles Elton.
The concept of the pyramid of numbers in ecological trophic interactions was first introduced by the British ecologist Charles Elton in the 1920s. Elton described the structure of ecosystems based on the number of organisms at different
Question : Substitute one word for the italicised expression.
When her teacher calls her a person who cannot be corrected, she laughs at herself.
Option 1: obedient
Option 2: reformable
Option 3: incorrigible
Option 4: manageable
Correct Answer: incorrigible
Solution : The third option is correct.
Incorrigible is used for a person or their behaviour that cannot be changed, making it the appropriate choice.
The meanings of the other options are as follows:
Question : The ratio of expenditure and savings of a person is 5 : 3. If the income increases by 20% and the expenditure increases by 10%, then the person's savings increase by:
Option 1: $36 \frac{2}{3}$%
Option 2: $3 \frac{1}{3}$%
Option 3: $13 \frac{2}{3}$%
Option 4: $30 \frac{1}{3}$%
Correct Answer: $36 \frac{2}{3}$%
Solution : Given: The ratio of expenditure and savings = 5 : 3. Income increases by 20% and expenditure increases by 10%. Let the expenditure and savings be $5x$ and $3x$ respectively. Income of person $= 5x + 3x = 8x$ The new income $=8x \times
Question : Comprehension:
Read the following passage and answer the questions given after it.
Standing in ankle-deep water engulfing his field, Kamal Singh Dhangar takes a wild shot at the likely yield from the soybean crop that practically lies in ruins behind him. "One bag, two bags with difficulty,” notes the 58-year-old with a wry smile, minutes after a fresh spell of rain has lashed Guradiya Sirajuddin village in Ashta tehsil of Madhya Pradesh’s (MP) Sehore district. While the same three-acre plot had given nearly 16 quintals of soybean last year, Dhangar this time isn’t sure he can even afford labourers to harvest the negligible produce staring in his face. He draws solace only from his not being alone. Most farmers in Guradiya Sirajuddin as well as neighbouring villages have reported widespread damage to their already matured standing crop. Gulab Singh, who owns 10 acres not far from Dhangar’s field, is ruing his decision to have taken an additional six acres of land on lease for cultivating soybean and wheat this year. “I have paid the owner Rs 1.5 lakh. By now, this soybean crop should have been ready for taking to Ashta mandi (agriculture produce market at the tehsil town, about 10 km away). But my expensive pursuit has proved costly,” remarks the 60-year-old, who, too, cannot enter his field without wading through water almost touching the knees. Seated at the edge of his flooded field a few hundred meters away, Dev Singh, a sprightly octogenarian, cannot remember the year when the monsoon rains caused such late-stage havoc. “I may have been this big,” he says, pointing to a man many decades younger than him. Western MP, in which Sehore falls, has received 1,335.4 mm of average rainfall from 1 June 1 to 25 September, 58% more than the region’s historical normal of 845.3 mm for this period. However, the real story lies in the month-wise figures. In June, the opening month of the southwest monsoon season, the rains were actually 25.6% below the long-period average. In July, they were 31.2% above average. That surplus rose to 63.6% in August, while a whopping 158% more so far till September, confirming Dev Singh’s observation. Worse, there’s little respite, with more rains predicted over the next few days. The monsoon has taken its toll mainly on soybeans. According to the Union Agriculture Ministry’s data, a total area of 113.449 lakh hectares (lh) has been planted under this leguminous oilseed in the current Kharif season, with the bulk of it accounted for by MP (55.16 lh), Maharashtra (39.595 lh) and Rajasthan (10.608 lh). Within MP, the main soybean-growing districts are Ujjain, Dewas, Indore, Dhar, Ratlam, Mandsaur, Rajgarh, Shajapur, Sehore and Vidisha. The crop in low-lying areas is the one that has been worst affected. “Farmers who had sown early-maturity (80-90 days duration) varieties such as JS 9560 and JS 2034 just after mid-June will take the biggest hit. Their crop would already have matured; the longer it remains in the field, the more the chances of the grain rotting. Also, these farmers will not be able to save this grain for use as seed next year,” admits V S Bhatia, director of the Indian Institute of Soybean Research at Indore.
Question: Which of the following statements is NOT true, according to the passage?
Option 1: In July–August, the actual rainfall was 25.6% below the long-period average.
Option 2: By September, the soybean crop should have been ready for taking to Ashta mandi.
Option 3: From 1 June to 25 September, 58% more rainfall was recorded than the region’s historical normal.
Option 4: The three-acre plot of Kamal Singh had given nearly 16 quintals of soybean in the past year.
Correct Answer: In July–August, the actual rainfall was 25.6% below the long-period average.
Solution : The first option is the correct choice.
The statement "In July–August, the actual rainfall was 25.6% below the long-period average" is not true, according to the passage. The passage provides the month-wise figures for rainfall,
Question : Directions: In a code language, the following alphabets are coded in a particular way.
$\triangle$
Which word can be decoded as (?@@$\bigoplus$+?;$\triangle$)?
Option 1: ABOLISH
Option 2: APPROVAL
Option 3: ACCOMPLISH
Option 4: APPROACH
Correct Answer: APPROACH
Solution : Given:
(?@@$\bigoplus$+?;$\triangle$) = ?
The given code can be decoded using the given table. ?→A; @→P;
The Question containing Inaapropriate or Abusive Words
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