Correct Answer: 4

Solution : $\tan (90-\theta)=\frac{2}{\sqrt{3}}$
⇒ $\cot \theta=\frac{2}{\sqrt{3}}$
⇒ $\tan \theta=\frac{\sqrt3}{2}$
$\therefore 2 \sqrt{3} \tan \theta+1=3+1=4$
Hence, the correct answer is 4.

Correct Answer: 4,875

Solution : Given: The marked price of the electric mixer = INR 6,500
Discount % = 10%
Selling price after getting 10% discount = $\frac{90}{100}\times 6500$ = INR 5,850
Profit = 20%
⇒ Cost price = $\frac{100}{120}×5850$ = INR 4,875
Hence, the correct answer is INR 4,875.

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

Correct Answer: $11\frac{1}{9}$%

Solution : Selling price = 200 - 200×$\frac{20}{100}$ = Rs. 160
Cost price = Selling price – Profit = 160 – 16 = Rs. 144
Gain % = $\frac{Gain}{\text{Cost price}}×100 = \frac{16}{144}×100=\frac{100}{9}$ = $11\frac{1}{9}$%
Hence, the correct answer is $11\frac{1}{9}$%.

Correct Answer: 0

Solution : Given: $a^{18}+a^{12}+a^{6}+1$
= $a^{6}(a^{12}+1)+1(a^{12}+1)$
= $(a^{6}+1)(a^{12}+1)$-----------------------------------------------(i)
Now, $a+\frac{1}{a} = \sqrt{3}$
Squaring both sides,
$(a+\frac{1}{a})^2 = (\sqrt{3})^2$
⇒ $(a)^2+(\frac{1}{a})^2+2×a×\frac{1}{a} = 3$
⇒ $(a)^2+(\frac{1}{a})^2 = 3-2 = 1$
Cubing both sides,
$((a)^2+(\frac{1}{a})^2)^3 = 1^3$
⇒ $(a)^6+(\frac{1}{a})^6+3×((a)^2+(\frac{1}{a})^2) = 1^3$
⇒ $(a)^6+(\frac{1}{a})^6 = 1 - 3$
⇒ $\frac{((a)^{12}+1)}{(a)^6} =

Correct Answer: A. P. J. Abdul Kalam

Solution : The correct answer is A. P. J. Abdul Kalam.

The Integrated Guided Missile Development Programme (IGMDP) was created by the well-known scientist A. P. J. Abdul Kalam. The ultimate goal was to become self-sufficient in missile technology. The programme realised that

Correct Answer: His son

Solution : As per the given information, the family tree will be as follows –

Here, in the above diagram, the circular figure represents the female, and the quadrilateral represents the male.

So, from the above family tree, Ram was looking at the portrait of his

Correct Answer: 62.5%

Solution : The volume of a cylinder
$V = \pi r^2 h$ where $r$ is the radius and $h$ is the height.
The radius of the cylinder is decreased by 50%, the new radius is,
$r' = r - 0.50r = 0.50r$
The height of the cylinder

Correct Answer: GHWB

Solution : Given:
DNST is related to STDN and RXMK is related to MKRX

DNST is related to STDN –

RXMK is related to MKRX –

Similarly, WBGH is related to –

So, the code for WBGH is GHWB. Hence, the fourth option is correct.

Correct Answer: flexible

Solution : The correct choice is the fourth option.

The term flexible captures the idea that the schedule can bend easily without breaking and is easily modifiable.

Flexible: It describes the quality of being adaptable and able to change or adjust easily in response to different circumstances.