Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $5\tan\theta=4$, then $\frac{5\sin\theta-3\cos\theta}{5\sin\theta+2\cos\theta}$ is equal to:
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{6}$
Option 4: $\frac{1}{3}$
Correct Answer: $\frac{1}{6}$
Solution : Given: $5\tan\theta = 4$ Now, $\frac{5\sin\theta-3\cos\theta}{5\sin\theta+2\cos\theta}$ = $\frac{5\frac{\sin\theta}{\cos\theta}-3}{5\frac{\sin\theta}{\cos\theta}+2}$ = $\frac{5\tan\theta-3}{5\tan\theta+2}$ = $\frac{4 - 3}{4 +2}$ = $\frac{1}{6}$ Hence, the correct answer is $\frac{1}{6}$.
Question : Select the most appropriate 'one word' for the expression given below.
Place where bees are kept.
Option 1: Hive
Option 2: Apiary
Option 3: Net
Option 4: Aviary
Correct Answer: Apiary
Solution : The correct choice is the second option.
Apiary is a place where bees and their hives are kept. The main difference between a hive and an apiary is that while a hive is a structure for housing a swarm of honeybees, an apiary is a
Question : How many organs are there in UNO?
Option 1: 06
Option 2: 03
Option 3: 04
Option 4: 05
Correct Answer: 06
Solution : The correct option is 06.
There are 6 primary organs of the United Nations (UN). These include the International Court of Justice, the Secretariat, the Trusteeship Council, the Economic and Social Council, the General Assembly, and the Security Council. The other five organs are
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.) (25, 13, 130) (49, 32, 448)
Option 1: (36, 12, 144)
Option 2: (16, 48, 196)
Option 3: (64, 16, 96)
Option 4: (100, 10, 1000)
Correct Answer: (36, 12, 144)
Solution : Given: (25, 13, 130); (49, 32, 448)
Multiply twice the second number with the square root of the first number, to get the third number – (25, 13, 130)→(√25) × 13 × 2 = 5 × 13 × 2 = 130
Question : Directions: Three of the four groups of words are alike in some manner. Select the odd group of words.
Option 1: (Bangkok, Dhaka, Ottawa)
Option 2: (Tokyo, Egypt, Oslo)
Option 3: (Thimphu, Jakarta, Nairobi)
Option 4: (Canberra, Beijing, Rome)
Correct Answer: (Tokyo, Egypt, Oslo)
Solution : Let's check the options – First option: (Bangkok, Dhaka, Ottawa); Bangkok is the capital of Thailand, Dhaka is the capital of Bangladesh, and Ottawa is the capital of Canada. Second option: (Tokyo, Egypt, Oslo); Tokyo is the capital of Japan, and Oslo is
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
They will (1)/ leave the office at six and (2) / reach at home by seven. (3) No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part because there is an error.
"Reach" is used mostly as a transitive verb, so it doesn't take any prepositions after it.
Therefore, the correct sentence is: "They will leave the office at six and reach home by seven."
Question : Who among the following organised Sarvajanik Ganesh Utsav to inculcate national sentiments among the masses?
Option 1: Lokmanya Tilak
Option 2: Bipin Chandra Pal
Option 3: Aurobindo Ghosh
Option 4: Lala Lajpat Rai
Correct Answer: Lokmanya Tilak
Solution : The correct answer is Lokmanya Tilak.
Bal Gangadhar Tilak, a prominent freedom fighter and social reformer, organised the Sarvajanik Ganesh Utsav in India. He used this festival as a platform to inculcate nationalistic sentiments and promote the idea of Swaraj (self-rule) among the masses
Question : The Reserve Bank of India raised the minimum capital requirement for setting up an asset reconstruction company (ARC) to Rs.____ crore in October 2022.
Option 1: 350
Option 2: 300
Option 3: 200
Option 4: 250
Correct Answer: 300
Solution : The correct option is 300.
In 2022, the Reserve Bank increased the minimum capital requirement for establishing an asset reconstruction company (ARC) from Rs 100 crore to Rs 300 crore. This move aims to enhance the robustness of the securitisation sector, a crucial element
Question : Directions: In the following question, identify the diagram that represents the best relationship among the classes given below. Pulses, Redgram, Moong dal
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Both red gram and moong dal are pulses. Therefore, both circles will be inside the circle of pulses. But there is no direct relationship between red gram and moong dal. So, both the circles will not overlap with each other. The Venn diagram is –
Hence,
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 9
Option 2: 27
Option 3: 64
Option 4: 8
Correct Answer: 9
Solution : Let's check the options – First option: 9; This is a perfect square. Second option: 27; This is a perfect cube. Third option: 64; This is a perfect cube. Fourth option: 8; This is a perfect cube.
So, the first option is different from the
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