Correct Answer: 188

Solution : Given:
14 × 12 – 16 + 18 = ?

On replacing the symbols as per the given information, the equation becomes –
= 14 + 12 × 16 – 18
= 14 + 192 – 18
= 206 – 18
= 188

So, 188

Correct Answer: Unidentified

Solution : The correct choice is the first option.

Explanation:

We have to look for a synonym that conveys a lack of acknowledgement or recognition. Unacknowledged means not recognised or not acknowledged. Among the options, unidentified is the closest synonym that implies a lack of acknowledgement

Correct Answer: Adopting a Western lifestyle

Solution : The correct answer is Adopting a Western lifestyle.

"Modernisation" as a goal of planning in the context of the Indian economy was not aimed at adopting a Western lifestyle. Industrialisation, technological advancement, economic expansion, and social development were among the goals

Correct Answer: $\frac{1}{\sqrt{3}}$

Solution : We know that $\sin^{2}\theta + \cos^{2}\theta = 1$
$7\sin^{2}\theta+3\cos^{2}\theta=4$
⇒ $7\sin^{2}\theta+3(1-\sin^{2}\theta)=4$
⇒ $4\sin^{2}\theta=1$
⇒ $\sin\theta = \sqrt{\frac{1}{4}}$ or $\sin\theta = -\sqrt{\frac{1}{4}}$
Since $0^{\circ}< \theta< 90^{\circ}$, $\sin\theta$ is positive.
⇒ $\sin\theta = \frac{1}{2}$
⇒ $\theta = 30^{\circ}$
⇒ $\tan\theta = \tan30^{\circ} = \frac{1}{\sqrt{3}}$
Hence, the correct

Correct Answer: $43\sqrt{3}$ m

Solution :
Let h be the height of the cliff.
From the figure we get,
$\tan 30°=\frac{h}{129}$
⇒ $\frac{1}{\sqrt{3}}=\frac{h}{129}$
⇒ $h=\frac{129}{\sqrt{3}}$
$\therefore h=43\sqrt{3}$ m
Hence, the correct answer is $43\sqrt{3}$ m.

Correct Answer: $\sin^3A+\cos^3A$

Solution : Given expression, $(\sin A + \cos A)(1 – \sin A \cos A)$
$\sin A+\cos A−\sin^2A\cos A-\sin A\cos^2A$
We know, $\sin^2A=1−\cos^2A$ and $\cos^2A=1−\sin^2A$
Now, $\sin A+\cos A−\sin^2A\cos A−\sin A\cos^2A$
= $\sin A+\cos A−(1−\cos^2A)\cos A−\sin A(1−\sin^2A)$
= $\sin A+\cos A−\cos A+\cos^3A−\sin A+\sin^3A$
= $\sin^3A+\cos^3A$
Hence, the correct

Correct Answer: 36

Solution : The figure can be labeled as shown below –

There are a total of 36 triangles in the above figure. They are AEI, IEB, BJF, CJF, DKG, CKG, HAL, DHL, AEB, BFC, CGD, DHA, AML, LMD, DMK, KMC, CMJ, JMB, BMI, IMA, AMD, DMC, CMB,

Correct Answer: 922

Solution : Let the loan amount be P.
Then using
P = $\frac{\text{A}}{(1 +\frac{\text{R}}{100})^T}$, where A is amount due at R% rate of interest for $T$ years
⇒ P = $\frac{5808}{(1+\frac{10}{100})}$ + $\frac{5808}{(1+\frac{10}{100})^{2}}$ 
= $\frac{5808}{\frac{11}{10}}$ + $\frac{5808}{\frac{121}{100}}$ 
= $\frac{58080}{11}$ + $\frac{580800}{121}$ 
= 5280 + 4800
= 10080

Correct Answer: All are correct

Solution : The correct answer is All are correct.

For the first time, the Olympics happened in 1896 in Athens, Greece.

The locations of some of the recent Olympic events are:

• Summer Olympics 2012- London
• Summer Olympics 2016- Rio de Janeiro
• Summer Olympics 2020-

Correct Answer: 33 cm²

Solution : Given: The curved surface area of a solid hemisphere is 22 cm².
The curved surface area of the hemisphere = $2\pi r^2$
The total surface area of the hemisphere = $3\pi r^2$
where $r$ is the radius.
According to the question,