Staff Selection Commission Sub Inspector Exam
Question : The simplest value of $\sin^{2}x+2\tan^{2}x-2\sec^{2}x+\cos^{2}x$ is:
Option 1: 1
Option 2: 0
Option 3: –1
Option 4: 2
Correct Answer: –1
Solution : Given: $\sin^{2}x+2\tan^{2}x-2\sec^{2}x+\cos^{2}x$ We know that, $\sec^2x=\tan^2x+1$ and $\sin^2x+\cos^2x=1$ Putting the values, we get: = $\sin^{2}x+2\tan^{2}x-2(\tan^2x+1)+\cos^{2}x$ = $\sin^{2}x+\cos^{2}x+2\tan^{2}x-2\tan^2x-2$ = $1-2$ = $-1$ Hence, the correct answer is –1.
Question : Select the sentence that has a spelling error.
A- One has to understand the rudimentery fact that intelligence and intellect are at two opposite poles.
B- An intellectual person may have all the knowledge of the world but won’t know how to give it a shape.
C- Knowledge will plague the individual if he does not have the intelligence to express it.
D- Without basic intelligence, an individual is trapped within himself manifesting conflicts and ignorance in the external world.
Option 1: Without basic intelligence, an individual is trapped within himself, manifesting conflicts and ignorance in the external world.
Option 2: An intellectual person may have all the knowledge of the world but won’t know how to give it a shape.
Option 3: Knowledge will plague the individual if he does not have the intelligence to express it.
Option 4: One has to understand the rudimentery fact that intelligence and intellect are at two opposite poles
Correct Answer: One has to understand the rudimentery fact that intelligence and intellect are at two opposite poles
Solution : The fourth option is the correct answer.
The correct spelling is "rudimentary," not "rudimentery." In this context, the sentence suggests that intelligence and intellect are distinct and opposite from each
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. ABSORPTION : ROSBANOITP :: VISUALIZER : ?
Option 1: UASIVERZIL
Option 2: VUAISREZIL
Option 3: AUSIVREZIL
Option 4: AUSIVREILZ
Correct Answer: AUSIVREZIL
Solution : Given: ABSORPTION : ROSBANOITP :: VISUALIZER : ?
Follow the pattern to obtain the required code –
Thus, ABSORPTION is coded as ROSBANOITP. Similarly, follow the same pattern for VISUALIZER –
Thus, VISUALIZER is coded as AUSIVREZIL. Hence, the third option is correct.
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. H can be represented by 00, 24, etc, and L can be represented by 56, 98, etc. Similarly, you have to identify the set for the word HALT.
Option 1: 31, 59, 68, 21
Option 2: 43, 86, 99, 40
Option 3: 24, 78, 56, 02
Option 4: 12, 97, 88, 33
Correct Answer: 24, 78, 56, 02
Solution : Given: HALT
Number representations of each letter – H→00, 12, 24, 31, 43 A→59, 65, 78, 86, 97 L→56, 67, 75, 89, 98 T→02, 14, 21, 33, 40
First option: 31, 59, 68, 21; L cannot be represented as 68. Second option:
Question : Directions: In a certain code language, ROCK is written as SQFO. How is LATE written in that code language?
Option 1: TWCM
Option 2: NXWM
Option 3: MCWI
Option 4: OPRZ
Correct Answer: MCWI
Solution : Given: ROCK is written as SQFO.
Add consecutive natural numbers to the place value of each letter of ROCK – R + 1 = S; O + 2 = Q; C + 3 = F; K + 4 = O Thus, ROCK is coded as
Question : Directions: 6 friends are sitting around a circular table. Vini, Urja, and Tanvi are sitting facing the centre and two out of Abhay, Bala, and Chan are not sitting facing the centre. Vini is sitting second to the left of Chan. Urja is sitting second to the right of Abhay. Bala is sitting third to the left of Tanvi. Chan is sitting second to the right of Tanvi. Abhay is sitting next to Vini. Who is sitting fourth to the right of Chan?
Option 1: Tanvi
Option 2: Urja
Option 3: Vini
Option 4: Bala
Correct Answer: Vini
Solution : Given: (I) 6 friends are sitting around a circular table. Vini, Urja, and Tanvi are sitting facing the centre and two out of Abhay, Bala, and Chan are not sitting facing the centre.
(II) Vini is sitting second to the left of Chan. Urja is
Question : Which is the first state in India to enact the Food Security Act?
Option 1: Chhattisgarh
Option 2: Gujarat
Option 3: Tamil Nadu
Option 4: Bihar
Correct Answer: Chhattisgarh
Solution : The correct answer is Chhattisgarh.
The Chhattisgarh Government has taken the initiative to pass the first Food Security Act in the country. New ration cards under the Food Security Act are being issued in the names of the female head of the family.
Question : Directions: A bus starts from point A and runs 20 km towards the south, then turns to its right and runs 25 km. It then turns right again and runs 20 km. Afterwards, it runs 5 km in the east direction and reaches point D. How far is the bus from the starting point?
Option 1: 35 km
Option 2: 20 km
Option 3: 25 km
Option 4: 30 km
Correct Answer: 20 km
Solution : Firstly, we will draw the diagram as per the given instructions in the question –
In the above figure, A is the starting point and D is the endpoint. So, AD is the required distance from the starting point. AD = AE – ED
Question : Which among the following comes under the primary sector of the Indian Economy?
Option 1: Sugar Industry
Option 2: Dairy Industry
Option 3: Banking Industry
Option 4: Transport of Goods
Correct Answer: Dairy Industry
Solution : The correct answer is Dairy.
The primary sector refers to all areas of human endeavour that use natural resources to produce essential goods, including agriculture, horticulture, dairy production, mining, fisheries, forestry, etc. By converting raw materials into valuable products, the secondary sector increases the
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. My apartment / in Delhi / is situated / on second floor.
Option 1: is situated
Option 2: in Delhi
Option 3: My apartment
Option 4: on second floor
Correct Answer: on second floor
Solution : The correct choice is the fourth option.
The phrase, on second floor contains a grammatical error because it should include the definite article the. The correct form is on the second floor, which is the standard usage when specifying a floor level
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