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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: Three positions of dice are given below. What can come on the adjacent faces of the face containing 4 on it?

Option 1: 7 and 5

Option 2: 3 and 7

Option 3: 7 and 6

Option 4: 6 and 5

Team Careers360 25th Jan, 2024

Correct Answer: 6 and 5


Solution : While considering Figures 1 and 2, it is seen that two faces 3 and 5 are common. So, the remaining numbers are 7 and 4. So, 7 and 4 are the opposite faces of each other in the given dice. So, 7 cannot

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Question : Which river from the following flows through a rift valley?

Option 1: Tapi

Option 2: Brahmaputra

Option 3: Sabarmati

Option 4: Ganga

Team Careers360 24th Jan, 2024

Correct Answer: Tapi


Solution : The correct option is Tapi.

The Tapi River, also known as the Tapti River, flows through a rift valley. It originates in the Multai-Madhya Pradesh, which is part of the Satpura Range in the Betul district of Madhya Pradesh, and then meanders through the

38 Views

Question : Select the most appropriate idiom for the underlined segment in the given sentence.

The new entrant in the class felt uncomfortable as all were unfamiliar to him.

Option 1: left out in cold

Option 2: was not given a fig

Option 3: was fish out of water

Option 4: buried his head in the sand

Team Careers360 12th Jan, 2024

Correct Answer: was fish out of water


Solution : The correct choice is the third option.

The most appropriate idiom for the underlined segment in the given sentence is a fish out of water.

The idiom, a fish out of water is used to describe someone who feels uncomfortable

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Question : Select the INCORRECTLY spelled word.

Option 1: Laison

Option 2: Lieutenant

Option 3: Entrepreneur

Option 4: Fluorescents

Team Careers360 9th Jan, 2024

Correct Answer: Laison


Solution : The correct choice is the first option.

The incorrectly spelled word is laison.

The correct spelling is liaison. The correct spelling reflects the proper form of the word, which refers to a communication or connection between different groups or individuals.

22 Views

Question : If $9 a+9 b+9 c=81$ and $4 a b+4 b c+4 c a=160$, then what is the value of $6 a^2+6 b^2+6 c^2$?

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 6

Team Careers360 22nd Jan, 2024

Correct Answer: 6


Solution : $9a + 9b + 9c = 81$
⇒ $a + b + c = 9$.............(i)
$4ab + 4bc + 4ca = 160$
⇒ $ab + bc + ca = 40$..................(ii)
We know that,
$(a + b + c)^2 = a^2+ b^2 + c^2 + 2ab

140 Views

Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation?
31 C 48 B 7 D 69 A 23 = ?

Option 1: 361

Option 2: 364

Option 3: 358

Option 4: 371

Team Careers360 24th Jan, 2024

Correct Answer: 364


Solution : Given:
A stands for ÷, B stands for ×, C stands for + and D stands for –.
31 C 48 B 7 D 69 A 23 = ?

On replacing the letters with the assigned mathematical signs as per the given instructions, we get

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Question : TF is a tower with point F on the ground. The angle of elevation of T from A is $\tan\;x^{\circ}=\frac{2}{5}$ and AF = 200 m. The angle of elevation of T from a nearer point B is $y^{\circ}$ with BF = 80 m. The value of $y$ is:

Option 1: 60$^{\circ}$

Option 2: 30$^{\circ}$

Option 3: 75$^{\circ}$

Option 4: 45$^{\circ}$

Team Careers360 25th Jan, 2024

Correct Answer: 45$^{\circ}$


Solution :
Let Height of the tower = $TF = h$ metre
$\angle TAF = x^{\circ}$, $\angle TBF = y^{\circ}$
$BF = 80$ metres and $AF = 200$ metres
In $\Delta AFT$,
$\tan x^{\circ} = \frac{TF}{AF}$
⇒ $\frac{2}5=\frac{h}{200}$
⇒ $ h=80$ m
in $\Delta BFT$,
$\tan y^{\circ}

21 Views

Question : The angle subtended by a chord MN on the circumference of a circle is 90 degrees. If the radius of the circle is 12 cm, then what will be the length of the chord MN?

Option 1: 30 cm

Option 2: 24 cm

Option 3: 6 cm

Option 4: 36 cm

Team Careers360 14th Jan, 2024

Correct Answer: 24 cm


Solution :
The length of the radius is 12 cm.
Let O be the circle's centre, and let C be the point on the circumference.
Using, If an angle subtended by a chord on the circumference of a circle is 90 degrees, then the chord is

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