Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 16 : 106 :: 11 : ? :: 10 : 22
Option 1: 36
Option 2: 42
Option 3: 40
Option 4: 31
Correct Answer: 31
Solution : Given: 16 : 106 :: 11 : ? :: 10 : 22
Subtract 6 from the first number, square the resultant, and add 6, to get the second number – Like in, 16 : 106 → (16 – 6)2 + 6 = 100, 100
Question : If $a^{4} + b^{4} = a^{2}b^{2}$, then $(a^{6} + b^{6})$ equals:
Option 1: $0$
Option 2: $1$
Option 3: $a^{2}+b^{2}$
Option 4: $a^{2}b^{4}+a^{4}b^{2}$
Correct Answer: $0$
Solution : Given: $a^{4} + b^{4} = a^{2}b^{2}$ Now, $(a^{6} + b^{6})$ $=(a^2)^3+(b^2)^3$ $=(a^{2} + b^{2})(a^{4} + b^{4} - a^{2}b^{2})$ $= (a^{2} + b^{2})(a^{2}b^{2} - a^{2}b^{2})$ $=0$ Hence, the correct answer is $0$.
Question : The cost price of pulses is 12% less than the selling price. Using a faulty weighing machine, a shopkeeper is able to earn 25% profit. How much per cent of the faulty machine shows more weight as compared to the actual weight (Rounded off to the nearest integer)?
Option 1: 13%
Option 2: 15%
Option 3: 10%
Option 4: 14%
Correct Answer: 10%
Solution : Let the initial selling price of the pulse be 100. The cost price is 12% less than selling price = 88 To earn a profit of 25%, the final selling price = $\frac{125}{100}\times$ Cost price = $\frac{125}{100}\times88$ = $110$ Difference in selling price = 110
Question : Directions: In the following question, choose the correct alternative which will improve the part of the sentence given in quotes.
Santhosh asked me where "was my pen".
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Explanation: The part of the sentence where was my pen should be replaced with where my pen was to convey the intended meaning that Santosh asked about the whereabouts of the speaker's pen. We need to
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Bag, Leather, Cloth
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Based on the general information, some bags are made of leather, and some are made of cloth. So, two representing cloth and leather will overlap the circle that represents bags individually. But leather and cloth are not related to each other in any manner. So, their
Question : Directions: In the following question, using which mathematical operators will the expression become correct? 69 ? 3 ? 2 ? 9 ? 3
Option 1: ÷, –, >, and ×
Option 2: ÷, +, <, and ×
Option 3: ÷, –, =, and ×
Option 4: ×, +, <, and ×
Correct Answer: ÷, +, <, and ×
Solution : Given: 69 ? 3 ? 2 ? 9 ? 3
Replace ? with the mathematical signs and solve the equations one by one using BODMAS. First option: ÷, –, >, and × 69 ÷ 3 – 2 > 9 × 3
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Speech was given (1) / to the man to (2) / conseal his thoughts. (3) / No Error (4)
Correct Answer: 3
Solution : The error lies in the third part of the sentence marked by the third option.
As conseal is the incorrect spelling of conceal which means to hide something and hence, the spelling needs to be corrected to make the sentence correct.
Therefore, the correct sentence
Question : Which of the following personalities is not among the three Indians named in the Times’ 2019 list of 100 most influential people?
Option 1: Indira Jaising
Option 2: Arundhati Katju
Option 3: Menaka Guruswamy
Option 4: Mukesh Ambani
Correct Answer: Indira Jaising
Solution : The correct option is Indira Jaising
Indira Jaising is not among the three Indians named in the Times’s 2019 list of the 100 most influential people. Time magazine is an American weekly news magazine published in New York City. It was first published in
Question : Who succeeded Alivardi Khan as Nawab of Bengal?
Option 1: Mir Jaffar
Option 2: Siraj ud-Daulah
Option 3: Mir Qasim
Option 4: Shaukat Jang
Correct Answer: Siraj ud-Daulah
Solution : The correct option is Siraj ud-Daulah
After the death of Alivardi Khan, his grandson Siraj ud-Daulah succeeded him as the Nawab of Bengal. Siraj ud-Daulah became the Nawab in 1756, but his reign was short-lived and marked by conflicts, including the Battle of Plassey
Question : Directions: If 5 November 2019 was Tuesday, then what was the day of the week on 5 December 2011?
Option 1: Tuesday
Option 2: Sunday
Option 3: Monday
Option 4: Saturday
Correct Answer: Monday
Solution : Given: 5 November 2019 was Tuesday.
The number of days from 5 December 2011 to 31 December 2011 = 26 The number of days from 1 January 2012 to 31 December 2018 = 366 + 365 + 365 + 365 + 366 + 365 +
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