Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given series. 1, 4, 15, 64, ?
Option 1: 285
Option 2: 315
Option 3: 325
Option 4: 375
Correct Answer: 325
Solution : Given: 1, 4, 15, 64, ?
Multiply and add the natural numbers starting from 2 to the previous term to get the next term of the series – (1 × 2) + 2 = 4; (4 × 3) + 3 = 15; (15 × 4)
Question : Observing the motion of objects on an inclined plane______deduced that objects move with a constant speed when no force acts on them.
Option 1: Michael Faraday
Option 2: Johannes Kepler
Option 3: Galileo
Option 4: Archimedes
Correct Answer: Galileo
Solution : The correct answer is Galileo.
Galileo, by studying the motion of objects on an inclined plane, concluded that objects move at a constant speed in the absence of external forces. Notably, he observed that when a marble rolls down an inclined plane, its velocity increases
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
If he is a millionaire (1) / he would help (2) / the millennium project. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
This is the case of the past subjunctive mood, which is used to refer to a hypothetical scenario. Thus, "were" should be used in place of "is" to make the sentence grammatically accurate.
Therefore, the
Question : If $(2 x+3 y+4)(2 x+3 y-5)$ is equivalent to $\left(a x^2+b y^2+2 h x y+2 g x+2 f y+c\right)$, then what is the value of $\frac{g + f - c}{abh}$?
Option 1: $\frac{37}{216}$
Option 2: $\frac{35}{432}$
Option 3: $\frac{19}{108}$
Option 4: $\frac{19}{216}$
Correct Answer: $\frac{35}{432}$
Solution : According to the question $(2x + 3y + 4)(2x + 3y - 5) = (ax^2 + by^2 + 2hxy + 2gx + 2fy + c)$ ⇒ $4x^2 + 6xy - 10x + 6xy + 9y^2 - 15y + 8x + 12y - 20 = (ax^2
Question : Select the correct spelling of the incorrectly spelt word. Diplomats believe that buraucratic delays are inevitable.
Option 1: inivitable
Option 2: burocratic
Option 3: beleave
Option 4: bureaucratic
Correct Answer: bureaucratic
Solution : The fourth option is correct.
The correct spelling of the incorrectly spelt word is bureaucratic.
The original sentence contains a misspelling of buraucratic, but the correct spelling is bureaucratic, which refers to matters related to bureaucracy or administrative procedures.
Therefore, the correct
Question :
Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The traveller told us an _______ story.
Option 1: impractical
Option 2: incredible
Option 3: inaudible
Option 4: ineffable
Correct Answer: incredible
Solution : The correct choice is the second option.
Explanation:
It means extraordinary, unbelievable, or amazing. It is commonly used to describe stories that are astonishing or hard to believe, making it the correct choice.
The meanings of the other options are as follows:
Question : Directions: A family consists of six members A, B, C, D, E, and F. There are two married couples. B is a doctor and the father of E. F is the grandfather of C and is a contractor. D is the grandmother of E and is a housewife. There is one doctor, one contractor, one nurse, one housewife, and two students in the family. Who is the husband of A?
Option 1: C
Option 2: B
Option 3: F
Option 4: D
Correct Answer: B
Solution : According to the given information, the family tree is as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, B is the husband of A. Hence, the second option is
Question : Which of the following cities is farthest from the southernmost tip of the mainland of India?
Option 1: Kodaikanal
Option 2: Nanded
Option 3: Warangal
Option 4: Bengaluru
Correct Answer: Nanded
Solution : The correct option is Nanded
Nanded, located in the state of Maharashtra, is positioned more centrally within India. Concerning the southernmost tip of the mainland, Kanyakumari, Nanded is situated to the north, making it geographically farther from the southern extremity of the Indian mainland.
Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation. (9 * 8 * 7) * 13 * 5
Option 1: ×, =, ÷, −
Option 2: ×, −, ÷, =
Option 3: ÷, −, =, ×
Option 4: −, ÷, ×, =
Correct Answer: ×, −, ÷, =
Solution : Given: (9 * 8 * 7) * 13 * 5
Let's check the options – First option: ×, =, ÷, − 9 × 8 = 7 ÷ 13 – 5 9 × 8 = 7 ÷ 13 – 5 72 = 0.53
Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm2, then what is its volume? (Take $\pi=\frac{22}{7}$)
Option 1: 8085 cm3
Option 2: 8820 cm3
Option 3: 11550 cm3
Option 4: 13475 cm3
Correct Answer: 13475 cm3
Solution : The ratio of the radius and height of a right circular cone = 1 : 2.4 = 10 : 24 = 5 : 12 Let radius, $r = 5x$, height, $h=12x$ and slant height be $l$. $l^2 = r^2 + h^2 = (5x)^2
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