Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $a+b+c=15$ and $a b+b c+c a=22$, then find the value of $a^2+b^2+c^2$.
Option 1: 131
Option 2: 141
Option 3: 161
Option 4: 181
Correct Answer: 181
Solution : Given: $a+b+c=15$ and $a b+b c+c a=22$ $(a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ca)$ ⇒ $(15)^2 = a^2+b^2+c^2+2(22)$ ⇒ $225 = a^2+b^2+c^2+44$ ⇒ $a^2+b^2+c^2 = 181$ Hence, the correct answer is 181.
Question : Which of the following was the capital of Pallavas?
Option 1: Aihole
Option 2: Puhar
Option 3: Raichur Doab
Option 4: Kanchipuram
Correct Answer: Kanchipuram
Solution : The correct option is Kanchipuram.
Kanchipuram, also known as Kanchi, was the capital of the Pallava dynasty. The city is renowned for its temples, including the Kailasanatha Temple, which is one of the earliest structural temples in South India. The Pallavas were great builders and
Question : Which of the following groups of gases contribute to the "Green House Effect"?
Option 1: Carbon dioxide and Methane
Option 2: Ammonia and Ozone
Option 3: Carbon monoxide and Sulphur dioxide
Option 4: Carbon tetrafluoride and Nitrous oxide
Correct Answer: Carbon dioxide and Methane
Solution : The correct answer is Carbon dioxide and Methane.
Greenhouse gases are the gases in the atmosphere that raise the temperature of the Earth. Carbon dioxide, methane, nitrous oxide, and water vapour are major contributors to the greenhouse effect. Carbon dioxide gas
Question : Directions: In a certain code language, N is written as 2 and KAW is written as 5. How will MAN be written in that code language?
Option 1: 4
Option 2: 2
Option 3: 9
Option 4: 6
Correct Answer: 4
Solution : Given: N is written as 2 and KAW is written as 5.
Divide the sum of the place value of each letter of N and KAW, to obtain the required code – The sum of the place value of N→14 ÷ 7 = 2 Thus,
Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Through these experiences, Sarah gained a newfound appreciation for the beauty and complexity of the world, and returned home with a renewed sense of purpose and passion. B. Sarah had always dreamed of travelling the world, but she never had the opportunity to do so until she graduated from college. C. Along the way, she encountered a diverse array of individuals, each with their own unique stories and perspectives. D. With her degree in hand, she set off on a backpacking adventure across Europe, eager to explore new cultures and meet new people.
Option 1: BACD
Option 2: CBAD
Option 3: DBCA
Option 4: BDCA
Correct Answer: BDCA
Solution : The correct choice is the fourth option: BDCA.
Explanation: The sentences are arranged in a logical order, following the sequence of events. Sentence B introduces Sarah's dream; sentence D talks about her adventure after graduating, sentence C details her encounters during the journey; and
Question : In_______ the British government enacted legislation banning the use of printed cotton textiles - chintz - in England. Interestingly, this Act was known as the Calico Act.
Option 1: 1720
Option 2: 1700
Option 3: 1740
Option 4: 1730
Correct Answer: 1720
Solution : The correct answer is 1720.
The British government in 1720 enacted legislation which banned the use of printed cotton textiles - chintz - in England. This act was known as the Calico Act. The Calico Act of 1720 banned the import of textiles into
Question : The smallest five-digit number that is divisible by 12, 18 and 21 is:
Option 1: 10224
Option 2: 30256
Option 3: 10080
Option 4: 50321
Correct Answer: 10080
Solution : We know the smallest five-digit number is 10000 LCM of (12,18, 21) = 252 Now, dividing 10000 by 252, we get a remainder of 172. So, the required smallest five-digit number = 10000 + (252 - 172) = 10000 + 80 = 10080 Hence, the
Question : x, y, and z are 3 values, such that x + y = 12, y + z = 17 and z + x = 19. What is the average of x, y, and z?
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 4
Correct Answer: 8
Solution : Given: x + y = 12............(equation 1) y + z = 17............(equation 2) z + x = 19............(equation 3) Adding all equations, we get: x + y + y + z + z + x = 12 + 17 + 19 ⇒ 2(x + y
Question : The following bar graph represents the number of CCTV cameras manufactured by a company over six years. Study the graph carefully and answer the question that follows: What is the ratio of the total number of CCTV cameras manufactured in the years 2016 and 2017 to the total number of CCTV cameras manufactured in the years 2020 and 2021?
Option 1: 37 : 25
Option 2: 39 : 25
Option 3: 25 : 39
Option 4: 25 : 37
Correct Answer: 25 : 37
Solution : Total number of CCTV cameras manufactured in the years 2016 and 2017 = 2750 + 4750 = 7500 Total number of CCTV cameras manufactured in the years 2020 and 2021 = 5150 + 5950 = 11100 $\therefore$ The ratio of the number of
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.
Daniel is worried lately. Usually, life is good for him. He (1)_______ a nice little shop where he sells souvenirs to tourists and lives in a nice cottage with his wife and their three teenage kids. They have a dog, a cat, and a backyard (2)_______ barbecue. They host all the family (3)_______, and his wife's turkey is the best in the country. What can be better than that, right? But lately, not all is well. There are (4)______ clouds in the sky, and all they talk about is terror and war. They feel something may happen. The (5)_______ life as he knows may be lost forever.
Select the most appropriate option to fill in the blank number 1.
Option 1: blackens
Option 2: owns
Option 3: allows
Option 4: accepts
Correct Answer: owns
Solution : The correct choice is the first option.
In this context, owns indicates that Daniel is the proprietor of the shop, emphasising his ownership of the business.
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