Staff Selection Commission Sub Inspector Exam
Question : The LCM of $x$ and $y$ is 441 and their HCF is 7. If $x$ = 49 then find $y$.
Option 1: 56
Option 2: 36
Option 3: 65
Option 4: 63
Correct Answer: 63
Solution : Given: LCM of $x$ and $y$ = 441, HCF = 7 and $x$ = 49 Now, LCM × HCF = $x$ × $y$ ⇒ 441 × 7 = 49 × $y$ $\therefore y$ = $\frac{441}{7}$ = 63 Hence, the correct answer is 63.
Question : Find the least number which when divided by 4, 9, 12, and 15, leaves the remainder 3 in each case.
Option 1: 360
Option 2: 183
Option 3: 193
Option 4: 180
Correct Answer: 183
Solution : 4 = 2 × 2 9 = 3 × 3 12 = 2 × 2 × 3 15 = 3 × 5 LCM of 4,9,12 and 15 = 2 × 2 × 3 × 3 × 5 = 180 Remainder = 3 Required number =
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. She has let herself be gone after her divorce.
Option 1: let herself go
Option 2: let herself gone
Option 3: let her go in
Option 4: let herself going
Correct Answer: let herself go
Solution : The first option is correct.
The correct phrase to use in this context is let herself go, which means that the person has become less concerned about her appearance or behaviour after her divorce.
Therefore, the correct sentence should be, "She has let
Question : Which of the following is the smallest ratio?
Option 1: 41 : 92
Option 2: 33 : 41
Option 3: 42 : 49
Option 4: 35 : 47
Correct Answer: 41 : 92
Solution : Consider option (1): $41: 92 = \frac{41}{92} = 0.445$ Consider option(2): $33 : 41 = \frac{33}{41} = 0.804$ Consider option (3): $42 : 49 = \frac{42}{49} =0.857$ Consider option (4): $35: 47 = \frac{35}{47} = 0.744$ So, we can see 41 : 92
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 35, 51, 76, 112, ?
Option 1: 162
Option 2: 158
Option 3: 161
Option 4: 164
Correct Answer: 161
Solution : Given: 35, 51, 76, 112, ?
Here, the pattern followed is as follows –
So, 161 is the missing term in the series. Hence, the third option is correct.
Question : Which among the following is a seaport of Bangladesh?
Option 1: Faridpur
Option 2: Rajshahi
Option 3: Chittagong
Option 4: Dhaka
Correct Answer: Chittagong
Solution : The correct option is Chittagong
Chittagong is a major seaport of Bangladesh, serving as a crucial hub for maritime trade. Located on the Bay of Bengal, it facilitates the import and export of goods, contributing significantly to the country's economy. Faridpur, Rajshahi, and Dhaka are
Question : Which Article of the Constitution of India deals with the Conduct of Business of the Government of a State?
Option 1: Article 165
Option 2: Article 163
Option 3: Article 166
Option 4: Article 164
Correct Answer: Article 166
Solution : The correct option is Article 166.
Article 166 of the Indian Constitution outlines the executive authority of the state and sets guidelines for government operations. It covers the Council of Ministers, the Governor's authority, and corporate regulations. Though the precise rules may vary
Question : Two trains A and B having the lengths 195 m and 165 m, respectively, are running in the same direction on parallel lines. If the speeds of A and B are 77 km/h and 85 km/h, respectively, what will be the time (in seconds) taken by them to cross each other?
Option 2: 164
Option 3: 160
Option 4: 166
Correct Answer: 162
Solution : According to the question, Both the trains are running in the same direction then their relative speed will be, Relative speed = Speed of B – Speed of A = 85 km/h - 77 km/h = 8 km/h or $\frac{20}{9}$ m/s Total distance to cross
Question : Direction: The following table shows the production of food grains (in million tonnes) in a state for the period 1999-2000 to 2003-2004. Read the table and answer the question.
The difference between the average production of rice and the average production of barley over the years is (in million tonnes).
Option 1: 50
Option 2: 60
Option 3: 80
Option 4: 40
Correct Answer: 40
Solution : Total production of rice in given years = 270 + 420 + 350 + 400 + 560 = 2000 Total production of barley in given years = 250 + 440 + 320 + 380 + 410 = 1800 Number of years = 5 Required difference
Question : If $\triangle$DEF is right-angled at E, DE = 15, and $\angle$DFE = 60° then, what is the value of EF?
Option 1: $5\sqrt3$
Option 2: $5$
Option 3: $15$
Option 4: $30$
Correct Answer: $5\sqrt3$
Solution : Given: DE = 15 and $\angle$DFE = 60° We know, $\tan\theta$ = $\frac{\text{Perpendicular}}{\text{Base}}$ ⇒ $\tan 60° = \frac{DE}{EF} = \sqrt{3}$ ⇒ EF = $\frac{DE}{\sqrt{3}}$ ⇒ EF = $\frac{15}{\sqrt{3}}$ $\therefore$ EF = $5\sqrt{3}$ Hence, the correct answer is $5\sqrt{3}$.
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