Staff Selection Commission Sub Inspector Exam
Question : The ratio of the number of boys to girls in a school is 5 : 2. If 87% of the boys and 80% of the girls passed in the annual exams, then find the percentage of students who failed in the annual exams.
Option 1: 18%
Option 2: 16%
Option 3: 15%
Option 4: 17%
Correct Answer: 15%
Solution : The ratio of boys and girls is 5 : 2. Let us assume the total number of boys and girls is 500 and 200, respectively. 87% of the boys passed. So, 13% of boys failed. Number of boys failed = $500 \times \frac{13}{100}$ = 65
Question : Select the most appropriate option that can substitute the underlined word which has been incorrectly spelt. They have begun to study in sepparate rooms.
Option 1: saperate
Option 2: separate
Option 3: seprate
Option 4: saparate
Correct Answer: separate
Solution : The correct choice is the second option.
Explanation: The correct spelling of the word is "separate." "Separate" means to set apart, divide, or keep distinct. In this context, it refers to studying in different rooms.
Therefore, the correct sentence would be: They have begun to
Question : In a triangle, ABC, the line parallel to BC intersects AB and AC at P and Q respectively. If AB : AP = 5 : 3, then AQ : QC is:
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 3 : 5
Option 4: 1 : 2
Correct Answer: 3 : 2
Solution : Let AP = 3 units and AB = 5 units So, PB = 5 – 3 = 2 units $\therefore \frac{\text{AP}}{\text{PB}}=\frac{\text{AQ}}{\text{QC}}$ ⇒ $\frac{\text{AQ}}{\text{QC}}=\frac{3}{2}$ ⇒ AQ : QC = 3 : 2 Hence, the correct answer is 3 : 2.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Piyush plays volleyball ______ an experienced person.
Option 1: as though
Option 2: as if
Option 3: as of
Option 4: as
Correct Answer: as
Solution : The fourth option is the correct answer.
"As an experienced person" conveys the meaning that Piyush has experience and proficiency in playing volleyball.
The options "as though" and "as if" are used to introduce a comparison to describe something that is hypothetical, while "as of'"
Question : On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is INR 1,995. The marked price of the article (in INR) is:
Option 1: 1,550
Option 2: 1,800
Option 3: 1,500
Option 4: 1,600
Correct Answer: 1,500
Solution : Let $x$ be the marked price. First discount = 35% The second discount = 20% and 15% Selling price = (100 – 35)% of $x$ + (100 – 20)% of (100 – 15)% of $x$ ⇒ 1995 = 65% of $x$ + 80% of 85%
Question : The first ICC Women's Cricket World Cup was held in the year _______.
Option 1: 1982
Option 2: 1978
Option 3: 1988
Option 4: 1973
Correct Answer: 1973
Solution : The correct option is 1973.
The first ICC Women's Cricket World Cup was held in 1973. The inaugural session was held in England. The tournament featured teams from England, Australia, New Zealand, and the West Indies. The Women's Cricket World Cup has transformed into
Question : Which of the following is the unit of Astronomical Distance?
Option 1: metre/sec
Option 2: sec
Option 3: para/sec
Option 4: parsec
Correct Answer: parsec
Solution : The answer is parsec.
The unit of astronomical distance is the parsec, which is equivalent to about 3.26 light-years. It can be described as the distance from which a star would have an angular diameter of one arcsecond if it were 10 parsecs away.
Question : The 'National School of Drama' is situated in which of the following cities?
Option 1: Mumbai
Option 2: New Delhi
Option 3: Bhopal
Option 4: Kolkata
Correct Answer: New Delhi
Solution : The correct answer is New Delhi.
The institute was established in 1959 under the Ministry of Culture. The ' National School of Drama' (NSD) is one of the premier institutions for theatre training and education in the country, and it has played a
Question : An employer goes on employing more and more of a factor's unit until:
Option 1: the average revenue productivity becomes equal to the marginal revenue productivity
Option 2: the marginal revenue productivity becomes zero
Option 3: the diminishing marginal returns set into operation
Option 4: the marginal revenue productivity of a factor becomes equal to its reward
Correct Answer: the marginal revenue productivity of a factor becomes equal to its reward
Solution : The correct answer is the marginal revenue productivity of a factor becomes equal to its reward.
According to the Marginal Productivity Theory, a factor unit's reward or price is determined by its
Question : If $\frac{1}{N}=\frac{(\sqrt6+\sqrt5)}{(\sqrt6-\sqrt5)}$, what is the value of $N$?
Option 1: $6-\sqrt{30}$
Option 2: $6+\sqrt{30}$
Option 3: $11-2\sqrt{30}$
Option 4: $11+2\sqrt{5}$
Correct Answer: $11-2\sqrt{30}$
Solution : Given: $\frac{1}{N}=\frac{(\sqrt6+\sqrt5)}{(\sqrt6-\sqrt5)}$ ⇒ $N=\frac{(\sqrt6-\sqrt5)}{(\sqrt6+\sqrt5)}$ Multiplying numerator and denominator by $(\sqrt6-\sqrt5)$, $N=\frac{(\sqrt6-\sqrt5)\times (\sqrt6-\sqrt5)}{(\sqrt6+\sqrt5)\times (\sqrt6-\sqrt5)}$ Using identities: $(a^2-b^2)=(a-b)(a+b)$ and $(a-b)^2=a^2+b^2-2ab$, $N=\frac{(6+5-2\times \sqrt6\times \sqrt5)}{(6-5)}$ ⇒ $N=11-2\sqrt{30}$ Hence, the correct answer is $11-2\sqrt{30}$.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
