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Question : Which of the following festivals is primarily celebrated by the Buddhist Community?

Option 1: Songkran

Option 2: Nowruz

Option 3: Gyan Panchami

Option 4: Thadri

Team Careers360 9th Jan, 2024

Correct Answer: Songkran


Solution : The correct answer is Songkran.

The meaning of the word Songkran is passing or approaching. This festival marks the beginning of the traditional Thai New Year. It is a prominent Buddhist festival that is mainly celebrated in Thailand for three days. The other famous Buddhist

44 Views

Question : Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D, and C2 in A, B respectively. If $\angle$BDC=120°, then the value of $\angle$ABP is equal to

Option 1: 60°

Option 2: 80°

Option 3: 100°

Option 4: 120°

Team Careers360 19th Jan, 2024

Correct Answer: 60°


Solution :
Given $\angle$BDC = 120°
Then, $\angle$CDP = 180° – 120° = 60°
Here, CD || AB
So, $\angle$CDP = $\angle$ABP
$\therefore$ $\angle$ABP = 60°
Hence, the correct answer is 60°.

8 Views

Question : In a triangle PQR, $\angle$Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?

Option 1: $5$

Option 2: $6$

Option 3: $6.5$

Option 4: $6\sqrt2$

Team Careers360 10th Jan, 2024

Correct Answer: $6.5$


Solution : Given: In a triangle PQR, $\angle$Q=90°, PQ = 12 cm, and QR = 5 cm.

Let the hypotenuse of the triangle be $h$ cm.
So, $h^2=12^2+5^2$
⇒ $h=\sqrt{169}$
⇒ $h=13$ cm
We know,
The circumradius of a right-angled triangle is half of its hypotenuse.
So,

14 Views

Question : What is the height of a cylinder that has the same volume and radius as a sphere of diameter 12 cm?

Option 1: 7 cm

Option 2: 10 cm

Option 3: 9 cm

Option 4: 8 cm

Team Careers360 21st Jan, 2024

Correct Answer: 8 cm


Solution : The volume of a sphere = $\frac{4}{3}\pi r_{\text{s}}^3$
Where $r_{\text{s}}$ is the radius of the sphere.
The volume of a cylinder = $\pi r_{\text{c}}^2 h_{\text{c}}$
Where $r_{\text{c}}$ is the radius of the base of the cylinder and $h_{\text{c}}$ is the height of the cylinder.

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