Staff Selection Commission Sub Inspector Exam
Question : Rani's weight is 25% that of Meena's and 40% that of Tara's. What percentage of Tara's weight is equal to Meena's weight?
Option 1: 160%
Option 2: 140%
Option 3: 120%
Option 4: 100%
Correct Answer: 160%
Solution : 25% = $\frac{1}{4}$ So, Rani : Meena = 1 : 4 = 2 : 8 Now, 40% = $\frac{2}{5}$ So, Rani : Tara = 2 : 5 Now, the ratio of Rani : Meena : Tara = 2 : 8 : 5 Let the weight of Rani, Meena, and Tara be $2x,8x,$ and $5x$ respectively. Let $r$% of Tara's weight equal to Meena's weight. So, $r$% of $5x$ = $8x$ ⇒ $r=\frac{8x}{5x}×100$ $\therefore r=$ 160% Hence, the correct answer is 160%.
Question : A, B and C started a business by investing INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the total profit (in INR) earned by them together?
Option 1: 18,200
Option 2: 17,500
Option 3: 15,600
Option 4: 16,600
Correct Answer: 15,600
Solution : Investment of A = INR 13,750 Investment of B = INR 16,250 Investment of C = INR 18,750 The ratio of investments = 13750 : 16250 : 18750 = 11 : 13 : 15 Let $x$ be the total profit. B's share of profit = INR 5,200 ⇒ $\frac{13x}{11+13+15}$ = 5200 ⇒ $\frac{13x}{39}$ = 5200 ⇒ $\frac{x}{3}$ = 5200 ⇒ $x$ = 5200 × 3 = 15600 Hence, the correct answer is INR 15,600.
Question : Select the word which means the same as the group of words underlined in the given sentence. The pandemic deeply affected small business owners, as they have no means of livelihood left.
Option 1: Pauper
Option 2: Worker
Option 3: Unemployed
Option 4: Mason
Correct Answer: Pauper
Solution : The first option is the correct choice.
Explanation: The word that means the same as the group of words underlined in the given sentence is pauper. In the sentence, the phrase "small business owners" who "have no means of livelihood left" suggests that these individuals are facing severe financial hardship, possibly to the point of poverty. A "pauper" refers to a person who is extremely poor, destitute, or lacking the means of support.
Therefore, in the context of the sentence, pauper is a suitable term to convey the economic distress experienced by the small business owners affected by the pandemic.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
A BBC reporter was ________ for what North Korea deemed a disrespectful portrayal of the country and its leader.
Option 1: welcomed
Option 2: recognised
Option 3: celebrated
Option 4: expelled
Correct Answer: expelled
Solution : The correct choice is the fourth option.
Expelled means forcibly removed or excluded, especially from a place or institution. This is the correct option, as it aligns with the context of the BBC reporter facing a negative consequence (expulsion) for a disrespectful portrayal of North Korea and its leader.
The meanings of the other options are as follows:
Welcomed: Greeted with pleasure or approval; received with gladness or open arms.
Recognised: Identified or acknowledged someone or something based on previous knowledge or information.
Celebrated: Publicly acknowledged or praised for an achievement.
Therefore, the correct sentence is: "A BBC reporter was expelled for what North Korea deemed a disrespectful portrayal of the country and its leader."
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. Rajib's habit of sneering at the beliefs of others often hurts others' sentiments.
Option 1: manipulation
Option 2: cynicism
Option 3: certainty
Option 4: cleverness
Correct Answer: cynicism
Solution : The correct choice is the second option.
Explanation: "Cynicism" refers to the belief that people are motivated purely by self-interest, often accompanied by a mocking or sneering attitude. In the context of the sentence, Rajib's habit of sneering at the beliefs of others reflects a cynical attitude, making "cynicism" the most suitable substitute.
Therefore, the correct answer is cynicism.
Question : Choose the correct meaning of the underlined idiom in the given sentence. The accident site had become a bear garden by afternoon.
Option 1: A place of noise and disturbance
Option 2: A peaceful place
Option 3: A soothing environment
Option 4: Unclean and dirty
Correct Answer: A place of noise and disturbance
Solution : The correct choice will be the first option.
The idiom bear garden is used to describe a place that is disorderly, chaotic, and characterised by loud noise and commotion. In the context of the given sentence, the use of the bear garden suggests that the accident site had turned into a noisy and chaotic environment as the day progressed.
Therefore, the correct answer will be a place of noise and disturbance.
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. D can be represented by 11, 42, etc, and I can be represented by 68, 99, etc. Similarly, you have to identify the set for the word NOSE.
Option 1: 21, 10, 78, 98
Option 2: 13, 22, 66, 56
Option 3: 02, 34, 59, 68
Option 4: 41, 42, 85, 86
Correct Answer: 21, 10, 78, 98
Solution : Given: NOSE
Number representations of each letter – N→02, 14, 21, 33, 40 O→03, 10, 22, 34, 41 S→59, 66, 78, 85, 97 E→55, 67, 79, 86, 98
First option: 21,10, 78, 98; All the letters of the word NOSE can be represented through this option. Second option: 13, 22, 66, 56; N and E cannot be represented as 13 and 56 respectively. Third option: 02, 34, 59, 68; E cannot be represented as 68. Fourth option: 41, 42, 85, 86; N, O cannot be represented as 41 and 42 respectively.
So, NOSE can be represented by using the codes 21,10, 78, 98. Hence, the first option is correct.
Question : Select the most appropriate meaning of the underlined idiom.
Even when the child accused the relative of inappropriate behaviour, the parents continued to play perfect hosts at the party instead of addressing the elephant in the room.
Option 1: Ignoring someone who seeks attention through false stories
Option 2: Punishing someone for inappropriate behaviour
Option 3: Revealing the secrets
Option 4: A big problem everyone is ignoring or afraid to talk about
Correct Answer: A big problem everyone is ignoring or afraid to talk about
The idiom the elephant in the room is used to refer to a big, obvious problem or issue that everyone is avoiding or ignoring. In the given sentence, the child accuses a relative of inappropriate behaviour, but the parents choose to ignore or avoid addressing this significant issue, behaving as if nothing is wrong.
Therefore, the correct meaning is: "A big problem everyone is ignoring or afraid to talk about."
Question : Two circles touch each other externally at C. AB is a direct common tangent to the two circles, A and B are points of contact, and $\angle CAB = 55^{\circ}$. Then $\angle ACB$ is:
Option 1: $35^{\circ}$
Option 2: $90^{\circ}$
Option 3: $55^{\circ}$
Option 4: $45^{\circ}$
Correct Answer: $90^{\circ}$
Solution : Given: Two circles touch each other externally at C, and $\angle CAB = 55^{\circ}$. Tangents drawn from an exterior point to a circle have equal lengths. PA = PC ⇒ $\angle PCA= \angle PAC=x$ Also, PC = PB. ⇒ $\angle PBC= \angle PCB=y$ In $\triangle ABC$, $\angle ABC+ \angle ACB+ \angle BAC=180^{\circ}$. ⇒ $y+x+y+x=180^{\circ}$ ⇒ $2(y+x)=180^{\circ}$ ⇒ $y+x=90^{\circ}$ ⇒ $\angle ACB=90^{\circ}$ Hence, the correct answer is $90^{\circ}$.
Question : Directions: In a group of equal numbers of cows and herdsmen, the number of legs was 28 less than four times the number of heads. The number of herdsmen was?
Option 1: 7
Option 2: 28
Option 3: 21
Option 4: 14
Correct Answer: 14
Solution : Here, Number of cows = Number of herdsmen = X Let the total no. of legs = L and the total no. of heads = H
A cow has 4 legs and a herdsman has 2 legs. So, the total number of legs, L = 4X + 2X = 6X Total number of heads, H = X + X = 2X
Now, according to the given statement, L = 4H – 28 ⇒ 6X = 4 (2X) – 28 ⇒ 6X = 8X – 28 ⇒ 2X = 28 ⇒ X = 14
So, the total number of herdsmen is 14. Hence, the fourth option is correct.
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