Staff Selection Commission Sub Inspector Exam
Question : How many natural satellites does the planet Venus have?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 0
Correct Answer: 0
Solution : The correct answer is 0
Naturally, Venus has no satellites. The quasi-satellite 2002 VE 68 and two more transient trojans, 2001 CK 32 and 2012 XE 133, are among its many trojan asteroids. Often nicknamed Earth's twin, it is a cloud-shrouded planet named after a goddess of love. However, as you get closer, Venus becomes incredibly hot.
Question : The given histogram shows the frequency distribution of the speed of cars passing though at a particular spot on a highway. Study the graph and answer the question that follows. What is the ratio of the number of cars with speeds less than 60 km/hr to the number of cars with speeds more than 80 km/hr?
Option 1: 8 : 7
Option 2: 4 : 5
Option 3: 5 : 4
Option 4: 7 : 8
Correct Answer: 8 : 7
Solution : As per the graph, The number of cars with speeds less than 60 km/hr = 50 + 70 = 120 The number of cars with speeds more than 80 km/hr = 60 + 45 = 105 The required ratio = 120 : 105 = 8 : 7 Hence, the correct answer is 8 : 7.
Question : Which of the following archaeological sites has evidence of pit-dwellings?
Option 1: Rana Ghundai
Option 2: Mehrgarh
Option 3: Burzahom
Option 4: Palavoy
Correct Answer: Burzahom
Solution : The correct answer is Burzahom.
Burzahom archaeological sites have evidence of pit-dwellings. It is located in Srinagar district in Jammu and Kashmir. At Burzahom many pit houses have been found. Pit-dwelling refers to the houses which are dug into the ground. These dwelling pits are circular or oval.
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: AJDG
Option 2: KTNQ
Option 3: JMSP
Option 4: UDXA
Correct Answer: JMSP
Solution : Let's check the options – First option: AJDG; A + 9 = J; J – 6 = D; D + 3 = G Second option: KTNQ; K + 9 = T; T – 6 = N; N + 3 = Q Third option: JMSP; J + 3 = M; M + 6 = S; S – 3 = P Fourth option: UDXA; U + 9 = D; D – 6 = X; X + 3 = A
So, the third option is different from the other three options because the difference in the position value of the letters is different. Hence, the third option is correct.
Question : The speed of a boat in still water is thrice the speed of the stream. If the boat takes 15.5 sec to go to a certain place downstream, then find the additional time required to cover the same distance travelling upstream.
Option 1: 15.5 sec
Option 2: 29 sec
Option 3: 31 sec
Option 4: 35 sec
Correct Answer: 15.5 sec
Solution : Let the speed of the stream as v and the speed of the boat in still water as 3v. When the boat is moving downstream (i.e., with the current), its effective speed is the sum of its own speed and the speed of the stream, which is 3v + v = 4v If the boat takes 15.5 seconds to cover a certain distance downstream, the distance as d = 4v × 15.5 When the boat is moving upstream (i.e., against the current), its effective speed is the difference between its own speed and the speed of the stream, which is 3v – v = 2v The time it takes to cover the same distance upstream, t = $\frac{\text{d}}{\text{2v}}$ = $\frac{(\text{4v × 15.5})}{ (\text{2v})}$ = 31 sec $\therefore$ The additional time required to cover the same distance travelling upstream is 31 – 15.5 = 15.5 sec Hence, the correct answer is 15.5 sec.
Question : As of October 2022, vaccination is not available for which of the following Hepatitis viruses?
Option 1: Hepatitis D
Option 2: Hepatitis A
Option 3: Hepatitis B
Option 4: Hepatitis C
Correct Answer: Hepatitis C
Solution : The correct answer is Hepatitis C.
As of October 2022, the vaccine for Hepatitis C is not available. Hepatitis is a viral infection that causes liver swelling, called inflammation. It can lead to serious liver damage. Hepatitis A and E are acute infections whereas Hepatitis B, C and D are chronic.
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. ADMINISTRATION
Option 1: STARDOM
Option 2: TRAIT
Option 3: DORMANT
Option 4: MINISTER
Correct Answer: MINISTER
Solution : Given: ADMINISTRATION
Now, let's compare all the option words with the word ADMINISTRATION – First option: STARDOM; All the letters of STARDOM are present in the word ADMINISTRATION. Second option: TRAIT; All the letters of TRAIT are present in the word ADMINISTRATION. Third option: DORMANT; All the letters of DORMANT are present in the word ADMINISTRATION. Fourth option: MINISTER; E is not present in the word ADMINISTRATION. Therefore, all the letters of MINISTER are not present in the word ADMINISTRATION.
So, from the above, only MINISTER cannot be formed from the word ADMINISTRATION. Hence, the fourth option is correct.
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
Football fans are feeling proud of their teams when they win.
Option 1: felt proud to their teams
Option 2: feel proud of their teams
Option 3: are feel to proud of their teams
Option 4: feeling proud of their teams
Correct Answer: feel proud of their teams
Solution : The correct choice is the second option.
The simple present tense is used to express a general truth or habitual action. Thus, feel proud is the correct usage.
Therefore, the correct sentence is: Football fans feel proud of their teams when they win.
Question : If the 9-digit number 97x4562y8 is divisible by 88, what is the value of $\left(x^2+y^2\right)$ for the smallest value of y, given that x and y are natural numbers?
Option 1: 64
Option 2: 68
Option 3: 76
Option 4: 80
Correct Answer: 80
Solution :
Factors of 88 = 8 × 11 If a number is divisible by 88 then it will be divisible by 8 and 11 also. The given number is 97x4562y8. For the smallest possible value of y considering that y is a natural number, 2y8 will be divisible by 8 So, y will be 4 for 248, which is divisible by 8. As y = 4, Sum of even places in number = 8 + 2 + 5 + x + 9 = 24 + x Sum of odd places in number = 7 + 4 + 6 + 4 = 21 Difference between sums = 24 + x – 21 = 3 + x For 3 + x to be divisible by 11, x = 11 – 3 = 8 Value of $x^2 + y^2$ = $4^2 + 8^2$ = 16 + 64 = 80 Hence, the correct answer is 80.
Question : A scooter runs at a speed of 49 km/hr after repair and runs at 42 km/hr before repair. It covers a certain distance in 7 hours after repair. How much time will it take to cover twice the distance before repairing?
Option 1: 8 hours 10 minutes
Option 2: 12 hours 20 minutes
Option 3: 16 hours 20 minutes
Option 4: 18 hours 30 minutes
Correct Answer: 16 hours 20 minutes
Solution : Use: Time = $\frac{\text{Distance}}{\text{Speed}}$ Speed of the scooter before repair = 42 km/hr Distance covered in 7 hours after repairing = 7 × 49 = 343 km When the distance is doubled = 2 × 343 = 686 km Time taken to cover 686 km with a speed of before repairing = $\frac{686}{42}$ = $\frac{49}{3}$ = $16\frac{1}{3}$ hours = 16 hours 20 minutes Hence, the correct answer is 16 hours 20 minutes.
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