Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate option that can substitute the underlined words in the given sentence.
Himanshu is braver than intelligent.
Option 1: more brave than intelligent
Option 2: most brave than intelligent
Option 3: braver than more intelligent
Option 4: most brave than more intelligent
Correct Answer: more brave than intelligent
Solution : The correct choice is the first option.
"Himanshu is braver than intelligent" seems to compare bravery and intelligence, implying that Himanshu is more courageous than intelligent, which might not be the intended meaning.
The sentence implies that Himanshu's level of bravery
Question : If $\sin \mathrm{C}=\frac{9}{10}$, then what is the value of $\cos ^2 \mathrm{C}$?
Option 1: $\frac{19}{100}$
Option 2: $\frac{81}{\sqrt{19}}$
Option 3: $\frac{19}{10}$
Option 4: $\frac{\sqrt{19}}{100}$
Correct Answer: $\frac{19}{100}$
Solution : We know, $\sin^2 \mathrm{C} + \cos^2 \mathrm{C} = 1$ $⇒\cos^2 \mathrm{C} = 1 - \sin^2 \mathrm{C}$ Substituting $\sin \mathrm{C} = \frac{9}{10}$, $⇒\cos^2 \mathrm{C} = 1 - \left(\frac{9}{10}\right)^2 = 1 - \frac{81}{100} = \frac{19}{100}$ Hence, the correct answer is $ \frac{19}{100}$.
Question : In an isosceles right-angled triangle, the perimeter is 30 m. Find its area (in m2). (Rounded off to the nearest integral value)
Option 1: 41
Option 2: 36
Option 3: 39
Option 4: 34
Correct Answer: 39
Solution : The perimeter of right-angled isosceles triangle = 30 m Let the equal sides of the isosceles triangle be $a$ m. Hence, hypotenuse of the isosceles right angled triangle = $\sqrt{a^2+a^2}=\sqrt2a$ According to the question, $a+a+\sqrt2a=30$ ⇒ $a=\frac{30}{2+\sqrt2}$ ⇒ $a=15(2-\sqrt2)$ Area of isosceles right angle triangle
Question : The most ideal region for the cultivation of coffee in India is the
Option 1: Indo-Gangetic Valley
Option 2: Brahmaputra Valley
Option 3: Rann of Kutch
Option 4: Deccan Plateau
Correct Answer: Deccan Plateau
Solution : The correct answer is the Deccan Plateau.
Ideal soil conditions required for coffee production are the presence of humus and minerals, fertile volcanic red earth, and deep sandy loam soils. The coffee plantation regions in India are Karnataka, Kerala, and Tamil Nadu. Karnataka
Question : Directions: Select the option in which the numbers do not share the same relationship as that shared by the given pairs of numbers. (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.) (4 : 75) and (2 : 19)
Option 1: (3 : 38)
Option 2: (7 : 354)
Option 3: (6 : 212)
Option 4: (5 : 136)
Correct Answer: (6 : 212)
Solution : Given: (4 : 75) and (2 : 19)
Add 11 to the cube of the first number, to get the second number – (4 : 75)→(4)3 + 11 = 64 + 11 = 75 (2 : 19)→(2)3 = 8; 8 +
Question : Match List I with List II and choose your answer from the code below:
Option 1: i-d, ii-c, iii-b, iv-a
Option 2: i-c, ii-b, iii-a, iv-d
Option 3: i-d, ii-c, iii-a, iv-b
Option 4: i-d, ii-a, iii-c, iv-b
Correct Answer: i-d, ii-c, iii-a, iv-b
Solution : The correct option is i-d, ii-c, iii-a, iv-b.
A service tax is a form of taxation levied on services provided by service providers. It falls under tax revenue, contributing to government income. Interest receipts include earnings from investments, loans, or other
Question : The ratio of the number of men to the number of women in an office is 2 : 3. If the average weight of the men and the women in the office are 56 kg and 51 kg, respectively, find the average weight of the employees in the office (in kg).
Option 1: 53.5
Option 2: 54
Option 3: 53
Option 4: 54.5
Correct Answer: 53
Solution : Given: The ratio of the number of men to the number of women in an office is 2:3. The average weights of the men and the women in the office are 56 kg and 51 kg. Let the number of men be $2x$ and the
Question : If $\sin (\theta+30°)=\cos 5 \theta$, then what is the value of $\theta$?
Option 1: 30°
Option 2: 10°
Option 3: 15°
Option 4: 20°
Correct Answer: 10°
Solution : Given, $\sin (\theta+30°)=\cos 5 \theta$ We know, $\sin\theta=\cos(90°-\theta)$ ⇒ $\sin (\theta+30°)=\sin(90°-5\theta)$ ⇒ $\theta+30°=90°-5\theta$ ⇒ $6\theta=60°$ ⇒ $\theta=10°$ Hence, the correct answer is 10°.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Cristiano Ronaldo dos Santos Aveiro, born on February 5th, 1985, and commonly known 1._________ Cristiano Ronaldo, is a Portuguese footballer who 2.__________ as a forward for Spanish club Real Madrid and serves as captain 3.____________ the Portuguese national team. Ronaldo currently holds the distinction of being the most expensive player in football history after 4.___________ transferred to Real Madrid from Manchester United in a deal worth £80 million (€94m, US$132m). His contract with Real Madrid is believed to have made him the highest-paid 5._________ player in the world.
Question: Select the most appropriate option to fill in the blank No. 2.
Option 1: plays
Option 2: played
Option 3: will play
Option 4: has played
Correct Answer: plays
Explanation:
The present tense plays accurately describe his ongoing role as a forward for Real Madrid.
It signifies a continuous and present action, aligning with the passage's context of providing current information about the footballer.
Question : Directions: Select the option that is related to the third word on the same basis as the second word is related to the first word. Tokyo : Japan :: Paris : ?
Option 1: France
Option 2: Switzerland
Option 3: Italy
Option 4: Ireland
Correct Answer: France
Solution : Given: Tokyo : Japan :: Paris : ?
Like, Tokyo is the capital city of Japan. Similarly, Paris is the capital city of France.
Hence, the first option is correct.
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