Staff Selection Commission Sub Inspector Exam

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Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:
Option 2:
Option 3:
Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:

Solution : In the given series, the figure is rotating 90° anticlockwise. Also, the right-angled triangle is moving clockwise at the corners.
Thus, the missing part of the figure is –

Therefore, the complete figure is as follows –

Hence, the third option is correct.

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Question : Directions: Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.
Option 1: 34 : 3
Option 2: 17 : 6
Option 3: 24 : 4
Option 4: 2 : 51

Team Careers360 25th Jan, 2024

Correct Answer: 24 : 4

Solution : Let's check each option –

First option: 34 : 3; 34 is not divisible by 3.
Second option: 17 : 6; 17 is not divisible by 6.
Third option: 24 : 4; 24 is divisible by 4.
Fourth option: 2 : 51; 51 is not divisible by 2.

So, the third option is different from the other three options as here first term is divisible by the second term. Hence, the third option is correct.

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Question : Directions: Six students Prateek, Sameer, Kabir, Ziya, Joseph, and Kiran are sitting around a circular table facing the centre (not necessarily in the same order). Prateek is an immediate neighbour of both Sameer and Kabir. Ziya is sitting second to the right of Sameer. Kiran is sitting third to the left of Kabir. Joseph is an immediate neighbour of both Ziya and Kabir.
Who is an immediate neighbour of Ziya?
Option 1: Prateek
Option 2: Kabir
Option 3: Sameer
Option 4: Kiran

Team Careers360 25th Jan, 2024

Correct Answer: Kiran

Solution : Given:
(I) Six students Prateek, Sameer, Kabir, Ziya, Joseph, and Kiran are sitting around a circular table facing the centre (not necessarily in the same order). Prateek is an immediate neighbour of both Sameer and Kabir.

(II) Ziya is sitting second to the right of Sameer. Kiran is sitting third to the left of Kabir. Joseph is an immediate neighbour of both Ziya and Kabir.

So, Kiran and Joseph are the immediate neighbours of Ziya. Hence, the fourth option is correct.

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Question : A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is:
Option 1: Rs. 500
Option 2: Rs. 600
Option 3: Rs. 550
Option 4: Rs. 620

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 600

Solution : Let the initial cost of the radio be $x$ .
According to the question,
$x + \frac{20 x}{100} + 60 = x + \frac{30 x}{100}$
⇒ $60 = \frac{30 x}{100} - \frac{20 x}{100}$
⇒ $60 = \frac{10 x}{100}$
⇒ $x = 600$
Hence, the correct answer is Rs. 600.

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Question : Directions: A goes 7 km eastward, then turns right and proceeds 7 km. Then travels 15 km towards left, then travels 12 km towards left, and finally goes 5 km northward. Calculate his distance from his initial place in the horizontal direction.
Option 1: 20 km
Option 2: 22 km
Option 3: 23 km
Option 4: 25 km

Team Careers360 25th Jan, 2024

Correct Answer: 22 km

Solution :

In the above figure, O is the starting point and T is the finishing point.
A's distance from his initial place in the horizontal direction is (OP + QR).
OP + QR = 7 + 15 = 22 km

So, A is 22 km from the starting point in the horizontal direction. Hence, the second option is correct.

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Question : Directions: M starts from his office and goes 15 km southwards, he then travels 5 km to the right, then travels 7 km to the left, and again he travels 7 km to the left, and eventually goes 22 km towards the left. Measure the distance between the final and starting point.
Option 1: 3 km
Option 2: 2 km
Option 3: 1 km
Option 4: 4 km

Team Careers360 25th Jan, 2024

Correct Answer: 2 km

Solution : Firstly, we will draw the diagram as per the given instructions –

In the above figure, O is the starting point and E is the finishing point. So, OE is M's distance from the starting point to the final point.
OE = CD – AB
OE = 7 – 5 = 2 km

So, M's distance from the starting point to the final point is 2 km. Hence, the second option is correct.

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Question : Select the INCORRECTLY spelt word.
Option 1: Diarrhoea
Option 2: Pseudonym
Option 3: Connoiseur
Option 4: Perseverance

Team Careers360 25th Jan, 2024

Correct Answer: Connoiseur

Solution : The correct choice is the third option.

In this case, the misspelt word is "connoiseur", which should be spelt as connoisseur, which refers to an expert judge in matters of taste, someone who has expert knowledge and keen discrimination in a particular field, often related to art, food, or culture.

The meanings of the other options are as follows:

Diarrhoea: This refers to a condition characterised by frequent and liquid bowel movements.
Pseudonym: This refers to a fictitious name used by an author or a pen name used by individuals to conceal their real identity.
Perseverance: This refers to the persistence and determination to continue doing something despite challenges or difficulties.

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Question : Copacabana beach is situated in __________.
Option 1: Peru
Option 2: Australia
Option 3: Mexico
Option 4: Brazil

Team Careers360 25th Jan, 2024

Correct Answer: Brazil

Solution : The correct answer is Brazil.

Situated along the Atlantic shore, Copacabana Beach extends from Posto Dois to Posto Seis and stands as a vibrant centrepiece in Rio de Janeiro, Brazil. Renowned globally, it's celebrated for its lively atmosphere and spans a 4-kilometre coastline.

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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 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. B can be represented by 01, 10, 22, etc, and F can be represented by 55, 76, 86, etc. Similarly, you have to identify the set for the given word - CAGE.
Matrix I

0 1 2 3 4

0 A B C D E

1 B C D E A

2 C D B A E

3 D C B E A

4 E B A C D

Matrix II

5 6 7 8 9

5 F G H I J

6 G F I J H

7 I F G J H

8 H F G I J

9 J F G J I

Option 1: 95, 82, 31,14
Option 2: 20, 00, 65, 40
Option 3: 14, 20, 41, 86
Option 4: 00, 21, 41, 95

Team Careers360 25th Jan, 2024

Correct Answer: 20, 00, 65, 40

Solution : Given:
CAGE

Number representations of each letter –
C→02, 11, 20, 31, 43
A→00, 14, 23, 34, 42
G→56, 65, 77, 87, 97
E→04, 13, 24, 33, 40

First option: 95, 82, 31,14; C, A, G, and E cannot be represented as 95, 82, 31, and 14 respectively.
Second option: 20, 00, 65, 40; All the letters of the word CAGE can be represented through this option.
Third option: 14, 20, 41, 86; C, A, G, and E cannot be represented as 14, 20, 41 and 86 respectively.
Fourth option: 00, 21, 41, 95; C, A, G, and E cannot be represented as 00, 21, 41, and 95 respectively.

So, CAGE can be represented by using the codes 20, 00, 65, 40. Hence, the second option is correct.

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Question : If $x^{2} - 8 x + 1 = 0$ , what is the value of $(x^{2} + \frac{1}{x^{2}})$ ?
Option 1: $18$
Option 2: $34$
Option 3: $40$
Option 4: $62$

Team Careers360 25th Jan, 2024

Correct Answer: $62$

Solution : Given: $x^{2} - 8 x + 1 = 0$
Dividing both sides by $x$ , we get,
$\Rightarrow x - 8 + \frac{1}{x} = 0$
$\Rightarrow x + \frac{1}{x} = 8$
Squaring both sides, we get,
$\Rightarrow (x + \frac{1}{x})^{2} = 8^{2}$
$\Rightarrow x^{2} + \frac{1}{x^{2}} + 2 = 64$
$∴ x^{2} + \frac{1}{x^{2}} = 64 - 2 = 62$
Hence, the correct answer is $62$ .

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Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:
Option 2:
Option 3:
Option 4:

Question : Directions: Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.
Option 1: 34 : 3
Option 2: 17 : 6
Option 3: 24 : 4
Option 4: 2 : 51

Question : A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is:
Option 1: Rs. 500
Option 2: Rs. 600
Option 3: Rs. 550
Option 4: Rs. 620

Question : Select the INCORRECTLY spelt word.
Option 1: Diarrhoea
Option 2: Pseudonym
Option 3: Connoiseur
Option 4: Perseverance

Question : Copacabana beach is situated in __________.
Option 1: Peru
Option 2: Australia
Option 3: Mexico
Option 4: Brazil

Question : If $x^{2} - 8 x + 1 = 0$ , what is the value of $(x^{2} + \frac{1}{x^{2}})$ ?
Option 1: $18$
Option 2: $34$
Option 3: $40$
Option 4: $62$

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Question : Directions: Select the figure that will replace the question mark (?) in the following figure series. Option 1: Option 2: Option 3: Option 4:

Question : Directions: Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.Option 1: 34 : 3Option 2: 17 : 6Option 3: 24 : 4Option 4: 2 : 51

Question : A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is:Option 1: Rs. 500Option 2: Rs. 600Option 3: Rs. 550Option 4: Rs. 620

Question : Select the INCORRECTLY spelt word.Option 1: DiarrhoeaOption 2: PseudonymOption 3: ConnoiseurOption 4: Perseverance

Question : Copacabana beach is situated in __________.Option 1: PeruOption 2: AustraliaOption 3: MexicoOption 4: Brazil

Question : If x2−8x+1=0, what is the value of (x2+1x2)?Option 1: 18Option 2: 34Option 3: 40Option 4: 62

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Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:
Option 2:
Option 3:
Option 4:

Question : Directions: Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.
Option 1: 34 : 3
Option 2: 17 : 6
Option 3: 24 : 4
Option 4: 2 : 51

Question : A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is:
Option 1: Rs. 500
Option 2: Rs. 600
Option 3: Rs. 550
Option 4: Rs. 620

Question : Select the INCORRECTLY spelt word.
Option 1: Diarrhoea
Option 2: Pseudonym
Option 3: Connoiseur
Option 4: Perseverance

Question : Copacabana beach is situated in __________.
Option 1: Peru
Option 2: Australia
Option 3: Mexico
Option 4: Brazil

Question : If $x^{2} - 8 x + 1 = 0$ , what is the value of $(x^{2} + \frac{1}{x^{2}})$ ?
Option 1: $18$
Option 2: $34$
Option 3: $40$
Option 4: $62$