Staff Selection Commission Sub Inspector Exam
Question : Simplify the following. $81^{\frac{3}{4}}+[(20 \div 5 \text { of } 3 \times 6)+\{(8 \div 24 \text { of } 3) \times 4\}-10 \div 5]-\left(\frac{1}{32}\right)^{-\frac{2}{5}}$
Option 1: $24 \frac{1}{4}$
Option 2: $21 \frac{1}{9}$
Option 3: $27 \frac{4}{5}$
Option 4: $29 \frac{4}{9}$
Correct Answer: $29 \frac{4}{9}$
Solution : Given expression, $81^{\frac{3}{4}}+[(20 \div 5 \text { of } 3 \times 6)+\{(8 \div 24 \text { of } 3) \times 4\}-10 \div 5]-\left(\frac{1}{32}\right)^{-\frac{2}{5}}$ = $(3^4)^{\frac{3}{4}}+[(\frac{20}{15}\times6)+\{(\frac{8}{72})\times4\}-\frac{10}{5}]-(\frac{1}{2^5})^{-\frac{2}{5}}$ = $3^3+[(4\times2)+\{\frac{4}{9}-2]-2^2$ = $27+[8+\frac49-2]-4$ = $27+6+\frac49-4$ = $29+\frac{4}{9}$ = $29\frac{4}{9}$ Hence, the correct answer is $29\frac{4}{9}$.
Question : Which of the following is the correct formula for the moment of inertia?
Option 1: I = mr2
Option 2: I = rm2
Option 3: I = m/r2
Option 4: I = 2mr
Correct Answer: I = mr2
Solution : The correct answer is l = mr2.
The formula for the moment of inertia is the sum of the product of the mass of each particle with the square of its distance from the axis of the rotation.
The
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4).
He narrated what his brother had done in vivid detail.
(1) He narrated in vivid detail what his brother had done.
(2) In vivid detail, he narrated what his brother had done.
(3) He narrated what his brother in vivid detail had done.
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct option is the second option.
Explanation:
This sentence is appropriate because it starts with "In vivid detail", which tells us that the narration was very detailed and specific. Then it says, "he narrated what his brother had done", which means he talked about
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Malti had to wait long to see her son, Abhik. She had worked hard to (1)______ her husband’s last wish that Abhik should (2)______ his higher education at Cambridge. Abhik (3)______ to be meritorious and hardworking and had secured a seat. Making ends meet was (4)______ and a trip back home in the vacation, (5)______ for the mother and son.
Question: Select the most appropriate option to fill in the blank no. 1.
Option 1: produce
Option 2: fulfil
Option 3: perform
Option 4: finish
Correct Answer: fulfil
Solution : The correct choice is the second option.
Fulfil is the appropriate word to fill in the blank, as it helps convey that the mother wanted to do what she promised her husband, which was his last wish.
Therefore, the right word to fill in
Question : Who became the first Indian to win the prestigious Zurich Diamond League Final 2022 in Switzerland?
Option 1: Rameshbabu Praggnanandhaa
Option 2: Mary Kom
Option 3: Neeraj Chopra
Option 4: P. V. Sindhu
Correct Answer: Neeraj Chopra
Solution : The correct answer is Neeraj Chopra.
Neeraj Chopra, the Tokyo Olympic gold medalist in the javelin throw, made history by securing victory at the prestigious Zurich Diamond League Final 2022 in Switzerland. In a remarkable performance, Neeraj's second throw measured 88.44 metres, earning
Question : Directions: In the following question, from the given alternative words, select the word that cannot be formed using the letters of the given word. AUTOBIOGRAPHY
Option 1: TROOP
Option 2: BRIGHT
Option 3: GRAPHIC
Option 4: TROPHY
Correct Answer: GRAPHIC
Solution : Given: AUTOBIOGRAPHY
Now, let's compare all the option words with the word AUTOBIOGRAPHY – First option: TROOP; All the letters of TROOP are present in the word AUTOBIOGRAPHY. Second option: BRIGHT; All the letters of BRIGHT are present in the word AUTOBIOGRAPHY. Third option: GRAPHIC;
Question : The Panchsheel agreement was between India and_____.
Option 1: Russia
Option 2: China
Option 3: Brazil
Option 4: Sri Lanka
Correct Answer: China
Solution : The correct answer is China.
The contract that China and India agreed to on April 29, 1954, outlines the Five Principles that both nations agreed to uphold to maintain peace in their trade relations with Tibet. This agreement established one of the most significant
Question : Study the pie chart and answer the question. Distribution (degree-wise) of the number of employees of a company working in 5 departments A, B, C, D, and E. Total number of employees = 3200 If the ratio of male employees and female employees working in department D is 4 : 5 and that in department E is 9 : 11, then what is the ratio of the total male employees in D and E to the number of employees in B?
Option 1: 31 : 32
Option 2: 25 : 32
Option 3: 7 : 8
Option 4: 15 : 16
Correct Answer: 25 : 32
Solution : Given: The ratio of male employees and female employees working in department D = 4 : 5 In the department, E is 9 : 11 Number of male employees in department D $=64.8^\circ \times \frac{4}{9} = 28.8^\circ$ Number of male employees in department
Question : According to the Census of India 2011, which metropolitan city has the most population?
Option 1: Mumbai
Option 2: Kolkata
Option 3: Chennai
Option 4: Patna
Correct Answer: Mumbai
Solution : The correct answer is Mumbai.
According to the 2011 Census, Mumbai is the most populated metropolitan city. It has a population of 18,394,392. It is followed by Delhi, Kolkata and Chennai.
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. 142 : 108 :: 185 : ? :: 169 : 135
Option 1: 157
Option 2: 148
Option 3: 151
Option 4: 162
Correct Answer: 151
Solution : Given: 142 : 108 :: 185 : ? :: 169 : 135
Subtract 34 from the given number to obtain the missing number – Here, 142 : 108→142 – 34 = 108 And, 169 : 135→169 – 34 = 135 Similarly, follow the same pattern
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