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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 6th Jan, 2024

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.

8 Views

Question : Which of the following was the capital of Pallavas?

Option 1: Aihole

Option 2: Puhar

Option 3: Raichur Doab

Option 4: Kanchipuram

Team Careers360 10th Jan, 2024

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

9 Views

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

Team Careers360 6th Jan, 2024

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

67 Views

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

Team Careers360 13th Jan, 2024

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,

16 Views

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

Team Careers360 17th Jan, 2024

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

17 Views

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

Team Careers360 13th Jan, 2024

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

30 Views

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

Team Careers360 23rd Jan, 2024

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

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