Staff Selection Commission Sub Inspector Exam
Question : Two concentric circles are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle?
Option 1: 5 cm
Option 2: 8 cm
Option 3: 10 cm
Option 4: 25 cm
Correct Answer: 10 cm
Solution : OE = 12 cm OC = OD = 13 cm We know that the tangent is perpendicular to the radius at its point of contact. OE $\perp$ CD Using Pythagoras theorem in $\triangle$ EOC, CE2 = OC2 – OE2 ⇒ CE
Question : Select the most appropriate synonym of the given word. Profit
Option 1: Benefit
Option 2: Debt
Option 3: Payment
Option 4: Loss
Correct Answer: Benefit
Solution : The correct option is the first option.
Explanation: Benefit aligns closely with profit, as it refers to a gain or advantage obtained from something.
The meanings of the other options are as follows:
Question : Directions: M & K means M is the mother of K. M # K means M is the father of K. M @ K means M is the husband of K. M% K means M is the daughter of K. If A & C @ R, then how is R related to A?
Option 1: Husband's father
Option 2: Mother
Option 3: Son's wife
Option 4: Daughter
Correct Answer: Son's wife
Solution : Given: M & K means M is the mother of K. M # K means M is the father of K. M @ K means M is the husband of K. M% K means M is the daughter of K. A & C @
Question : Who among the following was awarded the Nobel Peace Prize 2019?
Option 1: John B. Goodenough
Option 2: Akira Yoshino
Option 3: Greta Thunberg
Option 4: Abiy Ahmed Ali
Correct Answer: Abiy Ahmed Ali
Solution : The correct option is Abiy Ahmed Ali.
Abiy Ahmed Ali, the Prime Minister of Ethiopia, was awarded the Nobel Peace Prize in 2019. He received the prize for his efforts in achieving peace and international cooperation, especially for his decisive initiative to
Question : The value of 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] is:
Option 1: $\frac{20}{23}$
Option 2: $\frac{5}{8}$
Option 3: $\frac{5}{7}$
Option 4: $\frac{20}{29}$
Correct Answer: $\frac{20}{29}$
Solution : Given: 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] = $5 ÷ [5+8-\{{4+((4 \times 2) ÷ 4)-(2 ÷ (4 \times 2))}\}]$ = $5 ÷ [5+8-\{{4+(8 ÷ 4)-(2 ÷ 8)}\}]$ = $5 ÷ [5+8-\{{4+\frac{8}{4}-\frac{2}{8}}\}]$ =
Question : What is the least value of x so that the number 8x5215 becomes divisible by 9?
Option 1: 3
Option 2: 1
Option 3: 5
Option 4: 6
Correct Answer: 6
Solution : A number is divisible by 9 if the sum of all digits is divisible by 9. Number = 8x5215 The sum of all digit = (8 + x + 5 + 2 + 1 + 5) = (21 + x) Nearest multiple of 9 =
Question : DTP stands for
Option 1: Digital Transmission Protocol
Option 2: Desktop Publishing
Option 3: Data type Programming
Option 4: Document Type Processing
Correct Answer: Desktop Publishing
Solution : The correct option is Desktop Publishing.
DTP stands for desktop publishing. High-quality printed materials are frequently produced using DTP, a publishing technology, for businesses, organizations, and private individuals. It has largely taken the place of conventional typesetting techniques.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The child was irritable / because she had not / soundly slept / the previous night.
Option 1: soundly slept
Option 2: The child was irritable
Option 3: the previous night
Option 4: because she had not
Correct Answer: soundly slept
Solution : The error lies in the first option.
Explanation: The error lies in the placement of the adverb soundly. Adverbs, which modify verbs, adjectives, or other adverbs, usually go next to the verb they modify. In this case, soundly describes how the child slept. However,
Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$; then what is the value of $x+\frac{1}{x}$?
Option 1: $2$
Option 2: $\frac{\sqrt{15}}{2}$
Option 3: $\sqrt{5}$
Option 4: $\sqrt{3}$
Correct Answer: $\frac{\sqrt{15}}{2}$
Solution : Given: $x^2+\frac{1}{x^2}=\frac{7}{4}$ $⇒x^2+\frac{1}{x^2}+2=\frac{7}{4}+2$ [adding 2 on both sides] $⇒x^2+\frac{1}{x^2}+2×x^2×\frac{1}{x^2}=\frac{15}{4}$ $⇒(x+\frac{1}{x})^2=\frac{15}{4}$ $\therefore (x+\frac{1}{x})=\frac{\sqrt{15}}{2}$ Hence, the correct answer is $\frac{\sqrt{15}}{2}$.
Question : Select the most appropriate ANTONYM of the given word. Profane
Option 1: Perverse
Option 2: Immaterial
Option 3: Divine
Option 4: Barnyard
Correct Answer: Divine
Solution : The correct answer is the third option.
The word "profane" refers to showing disrespect or contempt for sacred things, especially religious beliefs or practices. The antonym "divine" represents qualities associated with the divine or sacred, often relating to God or a higher power.
The meanings
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
