Staff Selection Commission Sub Inspector Exam
Question : The term that should be added to ($4x^2+8x$) so that the resulting expression be a perfect square, is:
Option 1: $2$
Option 2: $4$
Option 3: $2x$
Option 4: $1$
Correct Answer: $4$
Solution : $4x^2+8x$ = $(2x)^2+2×(2x)×2$ Adding $4$ on both sides then use identity: $(a + b)^2 = a^2 + b^2 + 2ab$ $4x^2+8x+4$ = $(2x)^2+2×(2x)×2+4$ = $(2x+2)^2$ Thus, $4$ is to be added to $4x^2+8x$ to make it a perfect square. Hence, the correct answer is $4$.
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Pressure: Barometer:: Electricity: ?
Option 1: Cyclotron
Option 2: Bolometer
Option 3: Audiometer
Option 4: Multimeter
Correct Answer: Multimeter
Solution : Given: Pressure: Barometer:: Electricity: ?
The second term is an instrument or machine used to measure the first term – Like in, Pressure: Barometer→Barometer is used to measure pressure. Similarly, follow the same pattern for, Electricity: ?→A multimeter is used to measure electricity.
Therefore, the
Question : Which of the following Articles of the Constitution of India lays down the establishment of Public Service Commissions for the Union and the States?
Option 1: Article 315
Option 2: Article 316
Option 3: Article 317
Option 4: Article 318
Correct Answer: Article 315
Solution : The correct answer is Article 315.
The establishment of Public Service Commissions for the Union and the States is laid down in Article 315 of the Constitution of India. According to Article 315 of the Constitution, there shall be a Public Service Commission
Question : The hardness of the water is commonly measured in terms of:
Option 1: calcium carbonate equivalents
Option 2: calcium sulphate equivalents
Option 3: magnesium carbonate equivalents
Option 4: magnesium sulphate equivalents
Correct Answer: calcium carbonate equivalents
Solution : The correct answer is calcium carbonate equivalents.
The hardness of water is typically expressed in parts per million (ppm) and evaluated in terms of calcium carbonate due to the high molecular weight of calcium carbonate (100 g/mol) and the fact that it
Question : Directions: Two positions of a cuboidal block are given below, each face having several small triangles. In another position of the cube, if there is one triangle at the bottom, how many triangles will be there on the top face?
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 5
Correct Answer: 3
Solution : Taking dice positions 1 and 2 with 3$\triangle$ as the common face –
Moving clockwise from the common face with 3$\triangle$ –
So, the opposite pairs are –
Thus, when there is one triangle at the bottom, three triangles will be there on the top
Question : Rajwada Palace (cultural heritage project) is located at:
Option 1: Jabalpur
Option 2: Mandu
Option 3: Ujjain
Option 4: Indore
Correct Answer: Indore
Solution : The correct answer is Indore.
The Rajwada Palace (cultural heritage project) is located in Indore’s Khajuri Bazar in Madhya Pradesh. It is a historical palace built by the Holkars of the Maratha empire. It is a 7 storied palace that was built in the
Question : Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:
Option 1: approximately 42%
Option 2: approximately 25%
Option 3: approximately 50%
Option 4: approximately 45%
Correct Answer: approximately 42%
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. So, a single equivalent discount of 17% and 22% $=17+22-\frac{17×22}{100}=39-3.74=35.26\%$ Now, a single equivalent discount of 35.26% and 11% $=35.26+11-\frac{35.26×11}{100}=46.16-3.88=42.28\% \approx42\%$ Hence, the correct answer is approximately 42%.
Question : Select the most appropriate idiom from the following options that can substitute the underlined part of the given sentence.
It is his first interview, so he has a nervous feeling.
Option 1: Butterflies in his stomach
Option 2: A slap on the wrist
Option 3: Tug at his heartstrings
Option 4: Icing on the cake
Correct Answer: Butterflies in his stomach
Solution : The correct choice is the first option.
Explanation:
Butterflies in his stomach refer to the feeling of nervousness or anxiety, especially before an important event like an interview. It captures the sense of uneasiness or fluttery sensations in the stomach due to
Question : The famous caves of Udayagiri and Khandagiri are located in:
Option 1: Uttarakhand
Option 2: Chhattisgarh
Option 3: Tripura
Option 4: Odisha
Correct Answer: Odisha
Solution : The correct option is Odisha.
In Bhubaneswar, Odisha, are the well-known Udayagiri and Khandagiri Caves. These caves are part of a hill complex and are old rock-cut constructions. The Udayagiri and Khandagiri Caves are well-liked tourist destinations of historical and archaeological value. Their elaborate
Question :
Pinna (external ear) is present in
Option 1:
Amphibians
Option 2:
Fish
Option 3: Mammals
Option 4: Reptile
Correct Answer: Mammals
Solution : The correct answer is Mammals.
The Pinna is the outermost part of the ear in mammals and is characterised by its composition of yellow cartilage and skin. It stands as a distinctive feature unique to this class of animals. The outer ear is further
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