Staff Selection Commission Sub Inspector Exam
Question : ______ states that for a solution of volatile liquids, the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution.
Option 1: Dalton’s law
Option 2: Raoult’s law
Option 3: Faraday’s law
Option 4: Boyle’s law
Correct Answer: Raoult’s law
Solution : The correct answer is Raoult’s law.
Raoult's Law states that for a solution of volatile liquids, the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in the solution. This law applies to ideal solutions, where
Question : Directions: In a code language, if 265 is written as PNH, 187 is written as OXB, and 248 is written as NUB, then which of the following letters represents the number 4?
Option 1: U
Option 2: N
Option 3: B
Option 4: P
Correct Answer: U
Solution : Given: (I) 265 is written as PNH (II) 187 is written as OXB (III) 248 is written as NUB
On comparing, sentences I and III the number and letters 2 and N are common. On comparing, sentences II and III the number and letters 8
Question : In 1932, who discovered the positron, a particle described as "carrying a positive charge but having a mass of the same order of magnitude as that normally possessed by a free negative electron"?
Option 1: Niels Bohr
Option 2: Paul Dirac
Option 3: Ernest Rutherford
Option 4: Carl D. Anderson
Correct Answer: Carl D. Anderson
Solution : The correct answer is Carl D. Anderson.
In 1932, Carl D. Anderson discovered the positron, a particle described as "carrying a positive charge but having a mass of the same order of magnitude as that normally possessed by a free negative electron".
Question : Who among the following played an important role in the Ghadar movement?
Option 1: Shyamji Krishna Varma
Option 2: Lala Har Dayal
Option 3: Bipin Chandra Pal
Option 4: Vishnu Ganesh Pingle
Correct Answer: Lala Har Dayal
Solution : The correct option is Lala Har Dayal.
The Ghadar Movement was a political revolutionary organization founded in the United States of America by Indian immigrants. On July 15, 1913, Lala Har Dayal, Sant Baba Wasakha Singh Dadehar, Baba Jawala Singh, Santokh Singh,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed) (21, 5, 120) (2, 7, 8)
Option 1: (3, 4, 10)
Option 2: (3, 4, 16)
Option 3: (2, 6, 21)
Option 4: (4, 7, 34)
Correct Answer: (3, 4, 10)
Solution : Given: (21, 5, 120) (2, 7, 8)
In the above–given set of numbers, subtract 1 from the first, add 1 to the second number, and the result of both is multiplied to obtain the third number. ⇒(21, 5, 120) = (21 – 1)
Question : Harsh Vardhan, India’s Minister of ______, was elected the Chairman of the World Health Organisation’s Executive Board on 22 May 2020.
Option 1: Foreign Affairs
Option 2: Health and Family Welfare
Option 3: Housing
Option 4: Arts and Culture
Correct Answer: Health and Family Welfare
Solution : The correct answer is Health and Family Welfare.
Harsh Vardhan, the Minister of Health and Family Welfare in India was elected as the Chair of the World Health Organisation's Executive Board and played a key role in India's COVID-19 response. Harsh
Question : Select the most appropriate idiom to fill in the blank. All my efforts went in vain. The project on which I was working for the last two months has failed, and we are ________________________.
Option 1: all in the seventh heaven
Option 2: back to square one
Option 3: on the fly
Option 4: around the bend
Correct Answer: back to square one
Solution : The correct choice is the second option.
The reason back to square one is the most appropriate idiom in this context is that it conveys the idea of returning to the starting point or beginning after experiencing a failure or setback.
Therefore,
Question : 'I' is the incentre of $\triangle$ABC. If $\angle$BIC = 108$^\circ$, then $\angle$A = ?
Option 1: 54$^\circ$
Option 2: 36$^\circ$
Option 3: 72$^\circ$
Option 4: 81$^\circ$
Correct Answer: 36$^\circ$
Solution : In $\triangle$ABC, if 'I' is the incenter, then $\angle BIC = 90^\circ + \frac{A}{2}$. Given that $\angle BIC = 108^\circ$, So, $\angle A = 2 \times (\angle BIC - 90^\circ) = 2 \times (108^\circ - 90^\circ) = 36^\circ$ Hence, the correct answer is 36$^\circ$.
Question : From the top of a lighthouse at a height of 20 metres above sea-level, the angle of depression of a ship is 30°. The distance of the ship from the foot of the lighthouse is:
Option 1: $20$ m
Option 2: $20 {\sqrt3}$ m
Option 3: $30$ m
Option 4: $30 {\sqrt3}$ m
Correct Answer: $20 {\sqrt3}$ m
Solution : Height of a lighthouse = 20 metres Let the distance of the ship from the foot of the lighthouse be $x$. The angle of depression of the ship from the house = $30°$ From figure, we can see that $\frac{20}{x}=\tan 30°$ So, the
Question : A conical-shaped vessel has a radius of 21 cm and a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in Rs. ) of painting at the rate of Rs. 1.5 per cm2.
Option 1: 2475
Option 2: 1650
Option 3: 825
Option 4: 1250
Correct Answer: 2475
Solution : The curved surface area (CSA) of a cone is given by the formula: $\text{CSA} = \pi r l$ Where $r$ is the radius and $l$ is the slant height. Given that the radius $r$ is 21 cm and the slant height $l$ is 25 cm.
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