Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate antonym of the given word.
TARDY
Option 1: BELATED
Option 2: OVERDUE
Option 3: DELINQUENT
Option 4: PROMPT
Correct Answer: PROMPT
Solution : The correct choice is the fourth option.
Tardy means to move slowly or sluggishly. Prompt means "immediate" or "done without delay", which makes it an antonym for "tardy".
The meanings of the other options are as follows:
Question : A motorboat, whose speed is 20 km/hr in still water takes 3 hours to cover a distance of 22.5 km upstream and then comes back to its starting point. The speed of the stream (in km/hr ) is:
Option 1: 10
Option 2: 9
Option 3: 8
Option 4: 11
Correct Answer: 10
Solution : Let, the speed of the water = $x$ km/hr Speed of motorboat in still water = 20 km/hr Downstream speed = $(20 + x)$ km/hr Upstream speed = $(20 - x)$ km/hr Time taken to go downstream = $\frac{22.5}{(20+x)}$ Time taken to go upstream = $\frac{22.5}{(20-x)}$ According to the question, $⇒\frac{22.5}{(20+x)} + \frac{22.5}{(20-x)} = 3$ $⇒\frac{22.5(20-x)+22.5(20+x)}{(20+x)(20-x)}=3$ $⇒450-22.5x+450+22.5x = 3(400-x^2)$ $⇒900=1200-3x^2$ $⇒3x^2 = 300$ $⇒x^2 = 100$ $⇒x = 10$ km/hr Hence, the correct answer is 10.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. Here, according to the information provided, the mirror is placed at the right of the figure (on line MN). So, the left of the reflected image will appear as the right and the right will appear as the left. However, the top and bottom sides of the reflected image will remain the same. So the correct mirror image of the given figure is –
Hence, the second option is correct.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (28, 53, 78); (34, 49, 64)
Option 1: (46, 69, 71)
Option 2: (22, 54, 66)
Option 3: (38, 40, 42)
Option 4: (54, 55, 27)
Correct Answer: (38, 40, 42)
Solution : Given: (28, 53, 78); (34, 49, 64)
Here, (28, 53, 78)→(28 + 78) ÷ 2 = 106 ÷ 2 = 53 (34, 49, 64)→(34 + 64) ÷ 2 = 98 ÷ 2 = 49
Let's check the options – First option: (46, 69, 71)→(46 + 71) ÷ 2 = 117 ÷ 2 = 58.5 ≠ 69 Second option:(22, 54, 66)→(22 + 66) ÷ 2 = 88 ÷ 2 = 44 ≠ 54 Third option:(38, 40, 42)→(38 + 42) ÷ 2 = 80 ÷ 2 = 40 Fourth option:(54, 55, 27)→(54 + 27) ÷ 2 = 81 ÷2 = 40.5 ≠ 55
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Primitive cultures are those that exist in societies that have not yet developed advanced technology or complex social (1)__________These cultures are often characterised by their close relationship with the natural world. Despite being considered 'primitive', these cultures have a rich history and a unique way of life that is (2)__________ studying and preserving. These cultures often have a deep understanding of the environment and its cycles, and they have developed intricate systems of knowledge and belief that are closely tied to nature. For example, indigenous cultures in the Amazon rainforest have an (3)___________ knowledge of the medicinal properties of plants and the cycles of the seasons, which they use to sustain themselves and their communities. Another important aspect is that these cultures often have complex systems of kinship and social hierarchy. Despite many challenges that primitive cultures face, including the (4)___________ of modern societies and environmental degradation, these cultures have an important role to play in our understanding of the human experience. They offer a different (5)___________ on the world and its complexities, and their traditions and knowledge have the potential to inform and enrich our modern lives. Select the most appropriate option to fill in the blank 3.
Option 1: acquired
Option 2: intimate
Option 3: estimated
Option 4: gained
Correct Answer: intimate
Solution : The correct choice is the second option.
Explanation: The word "intimate" means closely acquainted, familiar, or closely connected. In the context of the passage, where indigenous cultures are described as having a deep understanding of the environment and its cycles, "intimate" perfectly fits, emphasising a close and personal knowledge of the medicinal properties of plants and the cycles of the seasons.
Question : As per the responsibilities defined in the National Food Security Act, 2013, which of the following is a responsibility of the state UT government?
Option 1: Transportation of food grains up to designated depots in each state/UT
Option 2: Allocation of required food grains to states/UTs
Option 3: Delivery of food grains from designated FCI godowns
Option 4: Identification of eligible households
Correct Answer: Identification of eligible households
Solution : The correct option is the Identification of eligible households.
As per the National Food Security Act, 2013, the responsibility of the state/UT government includes the identification of eligible households for receiving food grains under the Targeted Public Distribution System (TPDS). This identification process is crucial for ensuring that the benefits of food security reach the intended beneficiaries.
Question : Select the most appropriate idiom for the underlined segment in the following sentence.
We should protect ourselves from jealous people.
Option 1: High-spirited
Option 2: Any Tom, Dick or Harry
Option 3: One trick pony
Option 4: Green-eyed
Correct Answer: Green-eyed
Green-eyed means envious or jealous, which makes it the correct choice.
Therefore, the correct sentence is: We should protect ourselves from green-eyed people.
Question : The length of the chord of a circle is 8 cm and the perpendicular distance between the centre and the chord is 3 cm, then the diameter of the circle is equal to:
Option 1: 5 cm
Option 2: 10 cm
Option 3: 3 cm
Option 4: 7 cm
Correct Answer: 10 cm
Solution : Distance of perpendicular from centre to chord, $OD=3$ cm Length of chord, $AB=8$ cm We know that perpendicular from the centre to the chord bisects the chord. So, $AD=BD = 4$ cm Radius = $OB$ In $\Delta OBD$ $OB^2=BD^2+OD^2$ ⇒ $OB^2=4^2+3^2$ ⇒ $OB=5$ cm ⇒ Diameter, $AB = 2OB = 10$ cm Hence, the correct answer is 10 cm.
Question : In a 5 km race, S gave a 500 m head start to T. If they finished the race at the same time and the speed of T is 13.5 km/hr, the speed of S is:
Option 1: 15 km/hr
Option 2: 20 km/hr
Option 3: 17.5 km/hr
Option 4: 16.5 km/hr
Correct Answer: 15 km/hr
Solution : Let the speed of S as \(v\) km/hr. Given that S gave a 500 m (or 0.5 km) head start to T, S has to run 5 km while T runs 4.5 km. Since they finish the race at the same time, their times are equal. $⇒\frac{\text{Distance of S}}{\text{Speed of S}} = \frac{\text{Distance of T}}{\text{Speed of T}}$ Substituting the given values into the equation, $⇒\frac{5}{v} = \frac{4.5}{13.5}$ $⇒v = \frac{5 \times 13.5}{4.5} = 15 $ Hence, the correct answer is 15 km/hr.
Question : A certain sum becomes 4 times of itself in 5 years at a rate of simple interest. In 15 years it will become how many times of itself at the same rate of simple interest?
Option 1: 12
Option 2: 10
Option 3: 9
Option 4: 8
Solution : Given, A sum becomes 4 times itself in 5 years Time = 15 years Let the principal be $P$. So, interest in 5 years $\small=4P - P = 3P$ We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ Rate $= \frac{3P\times100}{P\times5}=60$% In 15 years, the sum becomes: $=P + \frac{\text{Principal × Rate × Time}}{100}$ $= P + \frac{P\times60\times15}{100}$ $=P + 9P$ $ = 10P$ Hence, the correct answer is 10.
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