Staff Selection Commission Sub Inspector Exam
Question : Directions: Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?
Option 1: 5 km
Option 2: 9 km
Option 3: 2 km
Option 4: 6 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and B is the endpoint. For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem, ⇒ (AC)2 + (BC)2
Question : Select the option that can be used as a one-word substitute for the given group of words. Happening repeatedly
Option 1: Recuperate
Option 2: Recurrent
Option 3: Rapport
Option 4: Regression
Correct Answer: Recurrent
Solution : The correct choice is the second option.
Recurrent directly conveys the idea of something occurring repeatedly or happening again. It succinctly captures the essence of an event or phenomenon that takes place multiple times.
The meanings of the other options are as follows:
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: HSP
Option 2: JQT
Option 3: FUR
Option 4: LOL
Correct Answer: JQT
Solution : Let's check each option – First option: HSP; H and S are opposite pairs; S – 3 = P Second option: JQT; J and Q are opposite pairs; Q + 3 = T Third option: FUR; F and U are opposite pairs; U – 3
Question : What is the full form of NNP?
Option 1: Normal Net Production
Option 2: Net National Product
Option 3: Normal National Produce
Option 4: Net Normal Produce
Correct Answer: Net National Product
Solution : The correct answer is Net National Product.
Net National Product is a measure of the overall income made by people of a nation, both at home and abroad. It is estimated as the sum of the country's GDP and net factor income
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°
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