Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $x^2+\frac{1}{x^2}=7$, then what is the value of $x^3+\frac{1}{x^3}$?
Option 1: 9
Option 2: 18
Option 3: 27
Option 4: 36
Correct Answer: 18
Solution : $x^2+\frac{1}{x^2}=7$ Adding 2 on both sides, we get, ⇒ $(x+\frac{1}{x})^2 - 2 × x × \frac{1}{x} = 7+2$ ⇒ $(x+\frac{1}{x})^2 = 9$ ⇒ $x+\frac{1}{x} = 3$ cubing on both sides, we get, ⇒ $(x+\frac{1}{x})^3 = 3^3$ ⇒ $x^3 + \frac{1}{x^3} + 3 × x ×
Question : Select the correctly spelt word.
Option 1: Recommend
Option 2: Recemmend
Option 3: Reccommend
Option 4: Reccomend
Correct Answer: Recommend
Solution : The correct option is recommend.
Explanation: The word "recommend" is spelled with one "m." It is essential to be aware of the correct spelling of words in order to use them accurately in written communication.
Question : Which of the following measures will not increase a nation's wealth?
Option 1: Investing in new companies
Option 2: Increasing the efficiency of factories
Option 3: Converting grasslands into orchards
Option 4: By redistributing taxes as subsidies
Correct Answer: By redistributing taxes as subsidies
Solution : The correct answer is By redistributing taxes as subsidies
One economic development strategy is tax redistribution, which tries to close the wealth gap between different societal groups. Its primary goal is to promote equality; economic growth is not its intended outcome.
Question : Directions: What should come in place of the question mark (?) in the given series? 242, 246, 255, ?, 296
Option 1: 271
Option 2: 264
Option 3: 270
Option 4: 259
Correct Answer: 271
Solution : Given: 242, 246, 255, ?, 296
Add the squares of the consecutive numbers (starting from 2) to each term to get the next term of the series. 242 + (2)2 = 242 + 4 = 246 246 + (3)2 = 246 + 9
Question : Directions: In the following question, select the related number from the given alternatives. 27 : 3 :: 873 : ?
Option 1: 23
Option 2: 97
Option 3: 9
Option 4: 87
Correct Answer: 97
Solution : Given: 27 : 3 :: 873 : ?
Like, 27 : 3→27 ÷ 9 = 3 Similarly, for 873 : ?→873 ÷ 9 = 97
So, 873 is related to 97. Hence, the second option is correct.
Question : A natural region has the similarity of
Option 1: climate and natural vegetation
Option 2: climate and occupation
Option 3: soil and drainage
Option 4: economical base and races
Correct Answer: climate and natural vegetation
Solution : The correct answer is climate and natural vegetation.
Earth has various bio-geographical regions which are classified based on the different climate and vegetations patterns. The same bio-geographical region have same climate and natural vegetation. It is primarily decided by the amount of
Question : The marked price of an article is Rs. 1200. A discount of 40% is given. If there is a loss of 20%, then what is the cost price of the article?
Option 1: Rs. 780
Option 2: Rs. 850
Option 3: Rs. 1020
Option 4: Rs. 900
Correct Answer: Rs. 900
Solution : Discount = $\frac{40}{100}$ × Marked price Let's denote the cost price of the article as $C$. The marked price (MP) is Rs. 1200, and a discount of 40% is given, So, Discount = $\frac{40}{100}×1200$ = Rs. 480 Selling Price (SP) = Marked Price −
Question : Directions: Which of the following terms follows the trend of the given list? ABABAbab, ABABabaB, ABAbabAB, ABabaBAB, AbabABAB, ?
Option 1: aBABABab
Option 2: abaBABAB
Option 3: ABABAbab
Option 4: ABABabaB
Correct Answer: abaBABAB
Solution : Given: ABABAbab, ABABabaB, ABAbabAB, ABabaBAB, AbabABAB, ?
In the second term ABABabaB, b is changed from lowercase to uppercase, and A is changed from uppercase to lowercase. In the third term ABAbabAB, a is changed from lowercase
Question : Kisan Diwas (Farmer's Day) is observed on:
Option 1: 1st July
Option 2: 4th December
Option 3: 18th December
Option 4: 23rd December
Correct Answer: 23rd December
Solution : The correct option is 23rd December.
Kisan Diwas, also known as National Farmers' Day, is celebrated on 23rd December every year in India. It commemorates the birthday of Chaudhary Charan Singh, who served as the Prime Minister of India from 1979 to 1980.
Question : The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm2)?
Option 1: 924.5
Option 2: 1984
Option 3: 1849
Option 4: 992
Correct Answer: 924.5
Solution : The perimeter of the square = 172 cm If a is the length of the side of the square then, 4a = 172 $\therefore$ a = $\frac{172}{4}$ = 43 cm Now, area of square = a2 = (43)2 Given: Area of triangle =
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