Staff Selection Commission Sub Inspector Exam
Question : In an election between two candidates, the difference between the candidates who won and lost was 2,500 votes. The candidate who won got 75% of the votes, and there were no invalid votes. The total number of votes polled by the losing candidate was:
Option 1: 1875
Option 2: 5000
Option 3: 1250
Option 4: 3750
Correct Answer: 1250
Solution : Let V be the total number of votes polled. The winning candidate received 75% of the votes, which is 0.75V. ⇒ The losing candidate received the remaining 25% of the votes, which is 0.25V. The difference between the votes of the winning and losing candidates
Question : Which atomic number element of the periodic table is named after Alfred Nobel, the inventor of dynamite and the founder of the Nobel Prize?
Option 1: 102
Option 2: 100
Option 3: 105
Option 4: 108
Correct Answer: 102
Solution : The correct option is 102.
The element named after Alfred Nobel is Nobelium, and its atomic number is 102. Nobelium is a synthetic element, meaning it is not found in nature and has to be produced in a laboratory. It was first synthesised in
Question : Directions: In each of the following questions, choose the correct alternative that will improve the part of the sentence given in quotes.
Both Santhosh and Rohit have 167 English papers due "in" Tuesday.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: There is an error in the use of the preposition in the sentence. The preposition in should be replaced with on to convey the intended meaning that both of them have English papers to submit
Question : The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows. What is the central angle of the sector representing the number of employees in department A?
Option 1: $72^{\circ}$
Option 2: $108^{\circ}$
Option 3: $36^{\circ}$
Option 4: $90^{\circ}$
Correct Answer: $72^{\circ}$
Solution : Total number of employees = 450 Central angle = $\frac{\text{Value}}{\text{Sum of the total values}} \times 360^\circ$ Number of employees in department A = 20% of 450 = $\frac{20 \times 450}{100}$ = 90 The central angle of the employees in department A = ($\frac{90}{450} ) ×
Question : Study the given data and answer the question that follows. The data shows the number of candidates (in thousands) appearing for Civil Service (CS) and Engineering Service (ES) Examinations in the years 2020, 2021, 2022 in the USA.
What is the total number of graduates who appeared for both CS and ES together in the year 2022?
Option 1: 2,01,000
Option 2: 2,01,100
Option 3: 2,01,300
Option 4: 2,01,200
Correct Answer: 2,01,300
Solution : The total number of graduates who appeared for both Civil Service (CS) and Engineering Service (ES) together in the year 2022 can be calculated as follows: For CS: The total number of candidates appeared = 1,20,000 (since the data is in thousands) Percentage of graduates
Question : If the annual rate of simple interest increases from $11\%$ to $17 \frac{1}{2} \%$, then a person's yearly income increases by INR 1,071.20. The simple interest (in INR) on the same sum at 10% for 5 years is:
Option 1: 16,480
Option 2: 9,120
Option 3: 8,240
Option 4: 7,250
Correct Answer: 8,240
Solution : Difference between two rates $= 17\frac{1}{2}\% – 11\% = \frac{13}{2}\% = 6.5\%$ We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $1071.20=\frac{\text{Principal}×6.5×1}{100}$ $\therefore$ Principal = $\frac{107120}{6.5} = 16480$ Now, simple interest for 5 years at the rate of 10% per annum ⇒ Simple
Question : Directions: In the following question, some parts of the sentence may have 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".
Madhuri and I have done my (1) / work patiently and diligently (2) / just for our safe and secure future. (3) / No Error (4)
Correct Answer: 1
Solution : The error lies in the first part of the sentence.
There is an error in the use of the possessive pronoun in the sentence. The pronoun "my" should be replaced with "our". Since the sentence refers to work done by both Madhuri and the speaker,
Question : A dealer allows a 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how much discount percentage should he allow on the marked price to earn the same percentage of profit as before?
Option 1: 12%
Option 2: 8.5%
Option 3: 10%
Option 4: 7.25%
Correct Answer: 10%
Solution : Let the marked price be Rs.100 Selling price = 100× $\frac{75}{100}$ = Rs. 75 ⇒120% of the cost price = 75 ⇒ Cost price = 75 × $\frac{100}{120}$ New cost price = 120% of old cost price New cost price = 100 × $\frac{75}{100}$ ×
Question : The ______________ Five-Year Plan was the first plan to focus on gender issues, women empowerment and the growing inequalities amongst the states and interregional disparities.
Option 1: Sixth
Option 2: Third
Option 3: Fourth
Option 4: Fifth
Correct Answer: Fifth
Solution : The correct answer is Fifth.
Starting with the Fifth Five-Year Plan (1974-78), there was a significant shift from a welfare-based approach to a development-oriented one. Women's empowerment has been recognized as a crucial factor in assessing their status in this plan. The establishment of
Question : Ramesh marks his goods 30% above the cost price. If he sells the item for Rs. 910 after allowing a discount of 15%, find his cost price.
Option 1: Rs. 823.5
Option 2: Rs. 758
Option 3: Rs. 814.2
Option 4: Rs. 856.5
Correct Answer: Rs. 823.5
Solution : Let the cost price of the article be $x$. Ramesh marks his goods 30% above cost price = $x \times \frac{130}{100} = \frac{13x}{10}$ Now, according to the question: The item is sold at a 15% discount. ⇒ $\frac{13x}{10} \times \frac{85}{100} = 910$ $\therefore x=
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