Staff Selection Commission Sub Inspector Exam
Question : If $\tan A=\frac{2}{5}$, then find the value of $\frac{\sec ^2 A}{\operatorname{cosec}^2 A}$.
Option 1: $\frac{2}{5}$
Option 2: $\frac{4}{25}$
Option 3: $\frac{9}{25}$
Option 4: $\frac{3}{5}$
Correct Answer: $\frac{4}{25}$
Solution : Given: $\tan A=\frac{2}{5}$ ⇒ $\cot A=\frac{5}{2}$ Now, $\sec^2 A = 1+ \tan^2 A$ ⇒ $\sec^2 A = 1+ (\frac{2}{5})^2$ ⇒ $\sec^2 A = 1+ (\frac{4}{25})$ ⇒ $\sec^2 A = (\frac{29}{25})$ Also, $\operatorname{cosec}^2 A = 1+ \cot^2 A$ ⇒ $\operatorname{cosec}^2 A = 1+ (\frac{5}{2})^2$ ⇒ $\operatorname{cosec}^2
Question : Select the INCORRECTLY spelt word.
Option 1: Interrogate
Option 2: Alienate
Option 3: Deserve
Option 4: Assasinate
Correct Answer: Assasinate
Solution : The correct answer is the fourth option
The incorrectly spelled word is "assasinate". The correct spelling is "assassinate". "Assassinate" means to murder someone, especially a public figure or a person of importance, often for political reasons or for monetary gain.
Question : The First Commonwealth Games were organised in which of the following years?
Option 1: 1920
Option 2: 1930
Option 3: 1922
Option 4: 1926
Correct Answer: 1930
Solution : The correct option is 1930.
The first Commonwealth Games were organised in 1930. They took place in Hamilton, Ontario, Canada. The Commonwealth Games are a multi-sport event that brings together athletes from countries that are members of the Commonwealth of Nations.
Question : There are six baskets — Green, Red, Blue, Yellow, Black, and White. Each basket has some rings in it. The average number of rings in all the six baskets is 38. If the blue basket is removed, the average number of rings in the remaining baskets is 34. How many rings are there in the blue basket?
Option 1: 22
Option 2: 45
Option 3: 37
Option 4: 58
Correct Answer: 58
Solution : The average number of rings in all the six baskets is 38. The total number of rings in all the six baskets = 38 × 6 = 228 If the blue basket is removed, the average number of rings in the remaining baskets is 34.
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the question figure – 1. All the symbols shifted to one position in a clockwise direction. 2. Every time a new symbol/geometrical shape/letter is introduced at the top left corner of the image. So, following the above pattern, the required figure will be as
Question : In a triangle, ABC, BC is produced to D so that CD = AC. If $\angle BAD=111^{\circ}$ and $\angle ACB=80^{\circ}$, then the measure of $\angle ABC$ is:
Option 1: 31°
Option 2: 33°
Option 3: 35°
Option 4: 29°
Correct Answer: 29°
Solution : Given: AC = CD, $\angle$BAD = 111°, and $\angle$ACB = 80° So, $\angle$ACD = 180° – 80° = 100° In isosceles $\triangle$ACD, $\angle$ACD + $\angle$CAD + $\angle$ADC = 180° ⇒ 2$\angle$CAD = 180° – 100° ⇒ $\angle$CAD = 40° ⇒ $\angle$CAB = 111° – 40°
Question : In a school, $\frac{5}{12}$ of the number of students are girls and the rest are boys. $\frac{4}{7}$ of the number of boys who are below 14 years of age, and $\frac{2}{5}$ of the number of girls who are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is:
Option 1: 1820
Option 2: 1290
Option 3: 1900
Option 4: 1920
Correct Answer: 1920
Solution : Let $x$ be the total number of students in the school. Number of girls = $\frac{5x}{12}$ Number of boys = $\frac{7x}{12}$ Number of boys who are below 14 years of age = $\frac{4}{7}×\frac{7x}{12}$ = $\frac{x}{3}$ Number of girls who are below 14 years of age
Question : The collection of poems titled 'Pakkaki Ottigilite' has been composed by:
Option 1: Kasturi Murali Krishna
Option 2: Suryadevara Rammohan Rao
Option 3: Varavara Rao
Option 4: K. Siva Reddy
Correct Answer: K. Siva Reddy
Solution : The correct answer is K. Siva Reddy.
K. Siva Reddy has composed a collection of poems titled 'Pakkaki Ottigilite', and he won the Saraswati Samman award in 2018 for this collection of poetry. K. Siva Reddy is a Telugu poet who has won
Question : A computer marked at Rs. 18,000 was sold at Rs. 15,840. The percentage of discount is:
Option 1: 13.6%
Option 2: 21.60%
Option 3: 12%
Option 4: 21%
Correct Answer: 12%
Solution : A computer marked at Rs. 18,000. Its selling price = Rs. 15,840 $\therefore$ Discount percentage = $\frac{\text{Marked price – Selling price}}{\text{Marked price}}×100$ = $\frac{18000-15840}{18000}×100$ = $\frac{2160}{18000}×100$ = $12\%$ Hence, the correct answer is 12%.
Question : Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?
Option 1: 9200
Option 2: 9500
Option 3: 9600
Option 4: 9000
Correct Answer: 9600
Solution : Given numbers = 15, 25, 40, and 75 15 = 3 × 5 25 = 5 × 5 40 = 2 × 2 × 2 × 5 75 = 3 × 5 × 5 $\therefore$ LCM of 15, 25, 40 and 75 = 3 ×
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
