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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If $x+y+z=13$ and $x^2+y^2+z^2=69$, then $xy+z(x+y)$ is equal to:

Option 1: 70

Option 2: 40

Option 3: 50

Option 4: 60

Team Careers360 25th Jan, 2024

Correct Answer: 50


Solution : Given: $x+y+z=13$ and $x^2+y^2+z^2=69$.
To find: $xy+z(x+y)$ which is equal to $(xy+zx+zy)$
Squaring both sides,
$(x+y+z)^{2}=13^2$
$x^{2}+y^{2}+z^{2}+2(xy+yz+zx)=169$
Putting the values, we get,
$69+2(xy+yz+zx)=169$
⇒ $2(xy+yz+zx)=169-69$
⇒ $(xy+yz+zx) = \frac{100}{2} = 50$
Hence, the correct answer is 50.

21 Views

Question : What did the term 'bhoga' refer to during the medieval period?

Option 1: Revenue assignments

Option 2: Donations to temples

Option 3: A festival

Option 4: Religious function

Team Careers360 18th Jan, 2024

Correct Answer: Revenue assignments


Solution : The correct answer is Revenue assignments.

Bhoga refers to the generic term for taxes, the king's grain share. It was introduced during the Gupta period. The periodical supply of fruits, firewood and flowers given by villagers to the king was known as 'Bhog'.

12 Views

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."

Only high officials have access (with) the President.

(1) to

(2) for

(3) from

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 8th Jan, 2024

Correct Answer: (1)


Solution : The sentence can be improved using the first option, "to".

The correct preposition to use after "access" in this context is "to". "Access to" is the standard phrase used to convey the idea that someone has the right or permission to reach or interact with

26 Views

Question : What is the area of a triangular flower bed of a garden whose perimeter is 20 m and two sides are 5 m and 6 m?

Option 1: $10 \sqrt{2}$ m2

Option 2: $2 \sqrt{10}$ m2

Option 3: $5 \sqrt{2}$ m2

Option 4: $4 \sqrt{5}$ m2

Team Careers360 25th Jan, 2024

Correct Answer: $10 \sqrt{2}$ m2


Solution : Perimeter = 20 m
Two sides are 5 m and 6 m.
Third side = 20 – 5 – 6 = 9 m
Semi perimeter, $ s = \frac{a+b+c}{2} = \frac{20}{2} = 10$
Area of triangle $= \sqrt{s(s-a)(s-b)(s-c)}$
$= \sqrt{10(10-5)(10-6)(10-9)}$
$= \sqrt{10×5×4}$

77 Views

Question : Which among the following lakes is known as the only "Floating Islands Lake" in India?

Option 1: Loktak

Option 2: Pulicat

Option 3: Chilka

Option 4: Kolleru

Team Careers360 18th Jan, 2024

Correct Answer: Loktak


Solution : The correct option is Loktak.

Loktak Lake, located in the northeastern state of Manipur, is known as the only floating island lake in the country. It is famous for its unique phumdis, which are masses of vegetation, soil, and organic matter that float on the

78 Views

Question : Directions: In a certain code language, KNEW is coded as 1493, and NECK is coded as 8319. What is the code for C in the given code language?

Option 1: 9

Option 2: 8

Option 3: 1

Option 4: 3

Team Careers360 20th Jan, 2024

Correct Answer: 8


Solution : Given:
KNEW ⇒ 1493
NECK ⇒ 8319

After comparing the above-coded words, we get –
The common letters in words are K, N, and E and common numbers are 9, 3, and 1.
The remaining letters and codes in KNEW are W and 4.
The

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