Staff Selection Commission Sub Inspector Exam
Question : In a $\triangle $ABC, the bisector of $\angle $B and $\angle $C meet at O in the triangle. If $\angle $BOC = 134º, then the measure of $\angle $A is:
Option 1: 116º
Option 2: 104º
Option 3: 52º
Option 4: 88º
Correct Answer: 88º
Solution : As BO and CO are the angle bisectors of $\angle $B and $\angle $C respectively. ⇒ $\triangle $BOC = 90º + $\frac{1}{2}\angle $A ⇒ 134º = 90º + $\frac{1}{2}\angle $A ⇒ $\angle $A = 2 × 44º = 88º Hence, the correct answer is 88º.
Question : The perimeter of two similar triangles is 30 cm and 20 cm, respectively. If one side of the first triangle is 9 cm. Determine the corresponding side of the second triangle.
Option 1: 13.5 cm
Option 2: 6 cm
Option 3: 15 cm
Option 4: 5 cm
Correct Answer: 6 cm
Solution : Let $\triangle$ABC and $\triangle$DEF be two similar triangles of perimeters P1 and P2, respectively. Also, let AB = 9 cm, P1 = 30 cm and P2 = 20 cm Then, $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}=\frac{P_{1}}{P_{2}}$ [Ratio of corresponding sides of similar triangles is
Question : Three numbers are in the ratio 5 : 6 : 7. If the product of the number is 5670, then the greatest number is:
Option 1: 15
Option 2: 18
Option 3: 21
Option 4: 28
Correct Answer: 21
Solution : Given: Three numbers are in the ratio 5 : 6 : 7. Let the numbers be $5x,6x,$ and $7x$, respectively. The product of the number is 5670. According to the question, $5x×6x×7x = 5670$ ⇒ $x^{3}=\frac{5670}{5×6×7}$ ⇒ $x^{3} = 27$ $\therefore x = 3$ $\therefore$
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".
He neither talks too much (1) / nor he causes any trouble (2) / during the lesson. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
The error is in the use of "he" after "nor", which is unnecessary. When "neither" is used, we don't need to repeat the subject after "nor".
Therefore, the correct sentence is: He neither talks too much nor
Question : Directions: Eight people are sitting in two parallel rows with 4 people each, in such a way that there is equal distance between adjacent persons. In Row I- L, O, V, and E are seated and all of them are facing south. In Row II- P, I, C, and T are seated and all of them are facing north. C sits next to the person at the extreme left end of their row and is exactly opposite O. V sits at the extreme left end of their row and is exactly opposite T. E is the immediate neighbour of V and is exactly opposite P. Who sits at the extreme left end of the row of people facing North?
Option 1: P
Option 2: T
Option 3: I
Option 4: C
Correct Answer: I
Solution : Given: 1. C sits next to the person at the extreme left end of their row and is exactly opposite O. 2. V sits at the extreme left end of their row and is exactly opposite T. 3. E is the immediate neighbour of V
Question : A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the evening, and they interchange their shifts every day. On which day did the work get completed?
Option 1: 21st day
Option 2: 24th day
Option 3: 30th day
Option 4: 27th day
Correct Answer: 27th day
Solution : Given: A can complete the whole work in 24 days. B can complete the whole work in 30 days. Now, Total work = LCM of 24 and 30 = 120 Efficiency of A = $\frac{120}{24}$ = 5 Efficiency of B = $\frac{120}{30}$ = 4
Question : Which Gharana was propounded by Bade Fateh Ali Khan and Ali Baksh Jarnail Khan?
Option 1: Gwalior Gharana
Option 2: Agra Gharana
Option 3: Patiala Gharana
Option 4: Bhendibazaar Gharana
Correct Answer: Patiala Gharana
Solution : The correct answer is Patiala Gharana.
Patiala Gharana was popularised by Ali Baksh Khan and Fateh Ali Khan, but it was originally founded by Mian Kallu. Patiala Gharana is named after the city of Patiala in Punjab. It is one of the most prominent
Question : In which of the following years did Sikandar Lodi founded Agra?
Option 1: 1506 CE
Option 2: 1504 CE
Option 3: 1499 CE
Option 4: 1508 CE
Correct Answer: 1504 CE
Solution : The correct option is 1504 CE.
Sikandar Lodi, the Sultan of Delhi, founded Agra in the year 1504. Agra, located in the Indian state of Uttar Pradesh, served as the capital of the Lodi dynasty until it was later captured by the Mughal Emperor
Question : Directions: In a certain code language, STORY is coded as 97 and PULL is coded as 61. How will INCOME be coded in that language?
Option 1: 54
Option 2: 49
Option 3: 59
Option 4: 47
Correct Answer: 59
Solution : Given: STORY is coded as 97, and PULL is coded as 61.
Add the positional value of the letters of the word STORY to obtain the required code – S→19; T→20; O→15; R→18; Y→25 19 + 20 + 15 + 18 + 25 = 97
Question : With which of the following sports are Ritwik Bhattacharya, Joshna Chinappa and Saurav Ghosal associated?
Option 1: Squash
Option 2: Wrestling
Option 3: Tennis
Option 4: Weightlifting
Correct Answer: Squash
Solution : The correct answer is Squash
Ritwik Bhattacharya, Joshna Chinappa, and Saurav Ghosal are associated with squash. They have made significant contributions to the sport and have represented India at various international competitions.
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