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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : A rod of 5 cm radius and 52 cm length is converted into a wire of 100 cm length of uniform thickness. The radius of the wire (in cm) is:

Option 1: $\sqrt{13}$

Option 2: $\sqrt{15}$

Option 3: $\sqrt{23}$

Option 4: $\sqrt{17}$

Team Careers360 17th Jan, 2024

Correct Answer: $\sqrt{13}$


Solution : Let the radius and height of the rod be $r_1$ and $h_1$, and the radius and height of the wire be $r_2$ and $h_2$.
Volume of the rod = Volume of the wire
$\pi r_1^2h_1=\pi r_2^2h_2$
⇒ $5^2\times 52=r_2^2\times 100$
⇒ $r_2^2=\frac{25\times52}{100}$
⇒ $r_2^2=13$

80 Views

Question : Which Union Territory in India has four districts but none of its districts has a common boundary with its other districts?

Option 1: Puducherry

Option 2: Dadra and Nagar Haveli

Option 3: Andaman and Nicobar Island

Option 4: Chandigarh

Team Careers360 19th Jan, 2024

Correct Answer: Puducherry


Solution : The correct answer is Puducherry.

With four districts that do not share a border, Puducherry is an Indian Union Territory. Mahe, Yanam, Karaikal, and Puducherry are the four districts that make up Puducherry. None of these districts share a boundary with another Puducherry district; instead,

10 Views

Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.

The student body met the principal to have their ___ heard.

Option 1: griefs

Option 2: disdain

Option 3: woes

Option 4: sorrows

Team Careers360 10th Jan, 2024

Correct Answer: woes


Solution : The third option is the correct answer.

Here, woes is the most appropriate term for expressing the kinds of issues and concerns that students typically want to discuss with their principal. It conveys a sense of trouble or difficulty without implying intense sadness or dislike.

47 Views

Question : Directions: A cyclist rides 40 km to the east, turns north, and rides 20 km, again turns left and rides 20 km. How far (approx) is he from the starting point?

Option 1: 0 km

Option 2: 10 km

Option 3: 20 km

Option 4: 30 km

Team Careers360 22nd Jan, 2024

Correct Answer: 30 km


Solution : According to the instructions given, the diagram is as follows –

Here, A is the starting point, D is the finishing point and AD is the distance from the starting point.
AB = 40 km; BC = 20 km and CD = 20 km

40 Views

Question : The amount of matter in a ball of steel is its:

Option 1: Weight

Option 2: Mass

Option 3: Density

Option 4: Volume

Team Careers360 5th Jan, 2024

Correct Answer: Mass


Solution : The correct answer is Mass.

The amount of matter in an object is measured by its mass. It provides information about an object's weight. Gram (g), a subset of the kilogram (kg), the standard SI unit of mass, can be used to quantify smaller

14 Views

Question : The given expression is equal to:
$\frac{\left(1+\tan^2 A\right)}{\operatorname{cosec}^2 A \cdot \tan A}$

Option 1: $\sec^2A$

Option 2: $\sec A$

Option 3: $\tan A$

Option 4: $\tan^2A$

Team Careers360 6th Jan, 2024

Correct Answer: $\tan A$


Solution : Given: $\frac{\left(1+\tan ^2 A\right)}{\operatorname{cosec}^2 A \cdot \tan A}$
$=\frac{\left(\sec^2 A\right)}{\operatorname{\frac{1}{\sin^2A}} \cdot \frac{\sin A}{\cos A}}$
$=\frac{\left(\frac{1}{\cos^2 A}\right)}{\operatorname{\frac{1}{\sin A \cdot \cos A }}}$
$=\frac{\sin A \cdot \cos A }{\cos^2 A}$
$=\frac{\sin A}{\cos A}$
$=\tan A$
Hence, the correct answer is $\tan A$.

14 Views

Question : If the income of R is 30% more than the income of Q and the income of Q is 20% more than the income of P, the income of R is how much percentage more than the income of P?

Option 1: 56%

Option 2: 28%

Option 3: 44%

Option 4: 51%

Team Careers360 13th Jan, 2024

Correct Answer: 56%


Solution : Let us assume that the income of P is 100 units
⇒ The income of Q = 120 units
Income of R = 120 $\times$ 1.3 = 156 units
$\therefore$ The required percentage = $\frac{(156-100)}{100}$×100 = $\frac{56}{100}$×100 = 56%
Hence, the correct answer is 56%.

13 Views

Question : When and where did the concept of Earth Hour begin?

Option 1: In April 2008, in Tokyo, Japan

Option 2: In June 2007, in Christchurch, New Zealand

Option 3: In May 2009, in Colombo, Sri Lanka

Option 4: In March 2007, in Sydney, Australia

Team Careers360 11th Jan, 2024

Correct Answer: In March 2007, in Sydney, Australia


Solution : The correct answer is In March 2007 in Sydney, Australia.

Earth Hour is celebrated on the last Saturday of March every year. It is a movement organised by the World Wildlife Fund for Nature as an initiative to increase

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