Staff Selection Commission Combined Graduate Level Exam
Question : Chilika Lake is situated in which of the following states?
Option 1: Karnataka
Option 2: Kerala
Option 3: Odisha
Option 4: Andhra Pradesh
Correct Answer: Odisha
Solution : The correct answer is Odisha.
The second-biggest coastal lagoon in the world and the largest brackish water lagoon in Asia is Lake Chilika. The lagoon, which spans 1,100 km2, is situated near the mouth of the Daya River in the eastern state
Question : In the first year, the population of a town decreased by 5% due to the Coronavirus first wave. In the next year, it decreased again by 5% due to the second wave and in the third year, it increased by 5%. At the end of the third year, the population was 9,47,625. What was the population at the beginning of the first year?
Option 1: 7,00,000
Option 2: 10,00,000
Option 3: 8,97,993
Option 4: 9,92,519
Correct Answer: 10,00,000
Solution : Let $x$ be the population at the beginning of the first year. According to the question, $x$ × 0.95 × 0.95 × 1.05 = 947625 ⇒ $x$ = $\frac{947625}{0.95 × 0.95 × 1.05}$ = 1000000 Hence, the correct answer is 10,00,000.
Question : A boat covers a distance of 80 km downstream in 8 hours, while it takes 10 hours to cover the same distance upstream. What is the speed (in km/hr) of the boat in still water?
Option 1: 18
Option 2: 12
Option 3: 9
Option 4: 16
Correct Answer: 9
Solution : Given: A boat covers a distance of 80 km downstream in 8 hours. Let the boat speed in still water be B. The speed of water is W. Then, the downstream speed is (B + W) and the upstream speed is (B – W). (B
Question : Which of the following is an essential element of the state
Option 1: Sovereignty
Option 2: Government
Option 3: Territory
Option 4: All these
Correct Answer: All these
Solution : The correct option is All of these.
A state is a sovereign and organized political entity with defined geographical boundaries, a permanent population, a government, and the capacity to enter into relations with other states. The important aspect of the state is sovereignty. It
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The boys (absented themselves) for two days.
(1) were absented
(2) absented'
(3) had absented
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The word "absented" is a transitive verb and is followed by the reflexive pronoun, which in this case is "themselves" to indicate that the boys voluntarily stayed away or were absent for two days.
Therefore, the correct answer
Question : Direction: In the following question, select the related number from the given alternatives.
2 : 32 :: 3 : ?
Option 1: 143
Option 2: 243
Option 3: 293
Option 4: 183
Correct Answer: 243
Solution : Given:
In this analogy,
Similarily,
So, the analogy become– 2 : 32 :: 3 : 243
Hence, option second is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.) (9, 69, 17); (13, 47, 7)
Option 1: (13, 57, 19)
Option 2: (10, 36, 8)
Option 3: (22, 49, 9)
Option 4: (19, 50, 4)
Correct Answer: (19, 50, 4)
Solution : Given: (9, 69, 17); (13, 47, 7)
Here, (9, 69, 17)→(9 × 2) + (17 × 3) = 18 + 51 = 69 (13, 47, 7)→(13 × 2) + (7 × 3) = 26 + 21 = 47
Let's check the options –
Question : The distance between the centres of two circles having radii of 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is:
Option 1: 15 cm
Option 2: 16 cm
Option 3: 18 cm
Option 4: 12 cm
Correct Answer: 12 cm
Solution : Given: AB = 13 cm AP = 8 cm BQ = 3 cm Direct common tangent (PQ) = $\sqrt{d^2-(r_1-r_2)^2}$ = $\sqrt{13^2-(8-3)^2}$ = $\sqrt{13^2-5^2}$ = $\sqrt{169-25}$ = $\sqrt{144}$ = 12 cm Hence, the correct answer is 12 cm.
Question : The executive power of the Union is vested in the:
Option 1: Council of Ministers headed by the Prime Minister
Option 2: Prime Minister
Option 3: Chief Justice of the Supreme Court
Option 4: President
Correct Answer: President
Solution : The correct answer is President.
The President of India is the ceremonial head of state. The President is elected by an Electoral College, which consists of the elected members of both houses of Parliament (Rajya Sabha and Lok Sabha) and the elected members of the
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Cattle : Herd
Option 1: Soldiers : Colony
Option 2: Sailors : Crew
Option 3: Pupils : Team
Option 4: Player : Class
Correct Answer: Sailors : Crew
Solution : Given: Cattle : Herd (A group of Cattle is called a herd.)
Let's check the options – First option: Soldiers : Colony; A group of Soldiers is called an army whereas a Colony is a group of ants. Second option: Sailors : Crew;
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