Correct Answer: 24 cm

Solution :

As BOC is a right-angled triangle at C,
Applying Pythagoras theorem,
⇒ $(BO)^2 = (CO)^2 + (BC)^2$
⇒ $(20)^2 = (16)^2 + (BC)^2$
⇒ $400 = 256 + BC^2$
⇒ $BC = \sqrt{\text{400 – 256}}$
⇒ $BC = \sqrt{144}$
⇒ $BC = 12$
$\therefore

Correct Answer:

Liver

Solution : The correct option is Liver.

The liver is the only organ that does not release any digestive enzymes. While the liver is important in digestion because it produces bile, which is stored in the gallbladder and released into the small intestine to help in

Correct Answer: Australia

Solution : The correct option is  Australia

The Union Cabinet's approval for an ordinance to establish the nation's inaugural national sports university in Manipur received assent from the former President, Ram Nath Kovind. Australia's Victoria University will assist India in creating a National Sports University in Manipur. 

Correct Answer: Chhattisgarh

Solution : The correct option is Chhattisgarh.

The Maikal Range is situated in the Indian state of Chhattisgarh. It is a hilly region that extends into parts of Madhya Pradesh and Maharashtra as well, but its primary location is within Chhattisgarh. It is part of the Eastern

Correct Answer: Partition of Bengal in 1905

Solution : The correct answer is Partition of Bengal in 1905

When the government announced its intention to divide Bengal in December 1905, the Swadeshi movement arose in opposition. All British products were to be boycotted, and buyers were to stick to Indian

Correct Answer: Micronutrients

Solution : The correct answer is Micronutrients.

Micronutrients are the trace amounts of vitamins and minerals that the body needs. However, they have a vital influence on the body's functioning, and deficiencies in any one of them can result in serious, even fatal, illnesses. Even though they

Correct Answer: TFL

Solution : Given:
EKH : BIE :: MGP : JEM :: ? : QDI

Subtract 3 and 2 alternatively from the place values of the letters of EKH and MGP to get the required codes.
EKH→E – 3 = B; K – 2 = I; H –

Correct Answer: Vembanad Lake – Maharashtra

Solution : The correct option is Vembanad Lake – Maharashtra.

Vembanad is a prominent lake in the southern Indian state of Kerala, not Maharashtra. The lake is situated in Alappuzha, Kottayam, and Ernakulam and spans several towns and villages along its shores.

Correct Answer: BGLQ

Solution : Given:
EJOT : ? :: YDIN : VAFK

Subtract 3 from the place value of YDIN to obtain the required code –
Y – 3 = V; D – 3 = A; I – 3 = F; N – 3 = K
Thus, YDIN is

Correct Answer: $-1$

Solution : Given:
$\tan (\alpha+\beta)=\sqrt{3}=\tan 60^{\circ}$
$\tan (\alpha-\beta)=1=\tan 45^{\circ}$
⇒ $\alpha+\beta=60^{\circ}$
and $\alpha-\beta=45^{\circ}$
⇒ $2\alpha=105^{\circ}$
⇒ $\alpha=\frac{105}{2}^{\circ}$
⇒ $6\alpha=6×\frac{105}{2}^{\circ}=315^{\circ}$
Now, $\tan 6\alpha$
= $\tan 315^{\circ}$
= $\tan (360^{\circ}-45^{\circ})$
= $-\tan45^{\circ}$
= $-1$
Hence, the correct answer is $-1$.