Staff Selection Commission Sub Inspector Exam
Question : In a triangle ABC, if $\angle B=90^{\circ}, \angle C=45^{\circ}$ and AC = 4 cm, then the value of BC is:
Option 1: $\sqrt{2} \mathrm{~cm}$
Option 2: $4 \mathrm{~cm}$
Option 3: $2 \sqrt{2} \mathrm{~cm}$
Option 4: $4 \sqrt{2} \mathrm{~cm}$
Correct Answer: $2 \sqrt{2} \mathrm{~cm}$
Solution : AC = 4 cm $\angle B=90^{\circ}$ $\angle C=45^{\circ}$ $\therefore \angle A = 180^{\circ}-(90^{\circ}+45^{\circ}) = 45^{\circ}$ Since $\angle A= \angle C$, $AB = BC$ -----------(i) By Pythagoras theorem, $AB^2 + BC^2 = AC^2$ ⇒ $BC^2 + BC^2 = 4^2$ ⇒ $2BC^2 = 16$ ⇒
Question : A big cube is formed by arranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimal. The percentage of exposed area that is coloured is:
Option 1: 25.9%
Option 2: 44.44%
Option 3: 35%
Option 4: 46%
Correct Answer: 44.44%
Solution : Total number of cubes = 160 + 56 = 216 Thus, side of cube = $\sqrt[3]{216}$ = 6 unit No. of cubes without exposure = (6 – 2)3 = 64 Thus, 64 coloured cubes will not be exposed. Now, Number of coloured cubes on
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. 1. Temple 2. Trained 3. Training 4. Troupe 5. Tented
Option 1: 15234
Option 2: 15243
Option 3: 15432
Option 4: 14532
Correct Answer: 15234
Solution : Given: 1. Temple 2. Trained 3. Training 4. Troupe 5. Tented
Step 1: Compare the first letter of each word. Since all the words start with the same letter T, then move to the next letter. Step 2: The second letter of each word
Question : The price of diesel increased by 16%. A person wants to increase his expenditure on diesel by 10% only. By what percentage, correct to one decimal place, should he reduce his consumption?
Option 1: 6.5%
Option 2: 5.2%
Option 3: 3.7%
Option 4: 4.5%
Correct Answer: 5.2%
Solution : Let the price of diesel and quantity be Rs.100 and 100 litres. Total expenditure = Rs.100 × 100 = Rs.10000 The price of diesel increased by 16%. New price = 100 + 16 = 100 He wants to increase his expenditure on diesel by 10%
Question : Which of the following is NOT a correct match?
Option 1: Voltage - volts
Option 2: Resistance - Ohm
Option 3: Conductance - siemens
Option 4: Capacitance - dyne
Correct Answer: Capacitance - dyne
Solution : The correct answer is Capacitance - dyne.
The capacitance unit measures a system's ability to store electric charge per unit voltage. It's called the farad (F). It indicates the ability of a substance to hold an electric charge. Dyne is the unit
Question : The Netravati River flows through which of the following cities?
Option 1: Bengaluru
Option 2: Shivamogga
Option 3: Karwar
Option 4: Mangalore
Correct Answer: Mangalore
Solution : The correct answer is Mangalore.
The Netravati River flows through Mangalore City. The Netravati River originates from Gangamoola hills in Western Ghats, and then it flows into the Arabian Sea. It is the primary source of drinking water in Mangalore city. Mangalore is also known
Question : Directions: In the following question, select the answer figure in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
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".
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