It's a Question of your Career!

Correct Answer:

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

Correct Answer: $\frac{18}{17}$

Solution : The ratio of their altitudes will be equal to the ratio of the square roots of their area.
$\frac{A{_1}}{A{_2}} = \frac{h{_1}^2}{h{_2}^2}$
⇒ $\frac{324}{289} = \frac{h{_1}^2}{h{_2}^2}$
⇒ $\frac{h{_1}}{h{_2}}=\sqrt\frac{324}{289}$
⇒ $\frac{h{_1}}{h{_2}} = \frac{18}{17}$
Hence, the correct answer is $\frac{18}{17}$.

Correct Answer:

Solution : As per the mirror image properties, closer things appear close 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 AB). So, the left side of the reflected image will appear

Correct Answer: $\frac{2}{3}$

Solution : Given: $\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$
$=\frac{4}{3} \times 1 +3 ( \frac{\sqrt3}{2})^2-2 (\frac{2}{\sqrt3})^2-\frac{3}{4} (\frac{1}{\sqrt3})^2$
$= \frac{4}{3} \times 1^2 +\frac{9}4-\frac{8}3-\frac{3}{4}\times \frac{1}3$
$= \frac{4}3+\frac{9}4-\frac{8}3-\frac{1}4$
$= \frac{16+27-32-3}{12}$
$= \frac{2}3$
Hence, the correct answer is $\frac{2}3$.

Correct Answer: 12 months

Solution : A's initial investment is 5$x$ and B's initial investment is $6x$, where $x$ is a positive constant.
after 8 months, 
A's effective investment for the entire duration is $5x × 8$ 
B's effective investment is $6x × t$, where $t$ is the number of

Correct Answer: 20%

Solution : Given: On a sum of money for 2 years compound interest and simple interest are INR 550 and INR 500.
From the given information we can conclude that,
The interest of INR $\frac{500}{2}$ i.e., INR 250 in 1 year is INR (550 – 500) =

Correct Answer: bring up for discussion

Solution : The second option is correct.

The most suitable option to substitute the underlined word broach in the given sentence is bring up for discussion. This is because broach means to introduce or raise a topic for discussion, and among the provided options,

Correct Answer: Niece

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

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

So, from the above family tree, the girl is Rajan's niece. Hence, the second option is

Correct Answer: Madhya Pradesh

Solution : The correct answer is Madhya Pradesh.

The Indira Sagar Dam is located in the state of Madhya Pradesh, India. It is built on the Narmada River, one of the major rivers in central India. The dam serves various purposes, including irrigation, hydroelectric power

Correct Answer: $\frac{1}{21}$

Solution : $\frac{4\sin^{2}\theta–2\cos^{2}\theta}{4\sin^{2}\theta+3\cos^{2}\theta}$
Dividing this numerator and denominator by $\cos\theta$ we have,
$\frac{4\sin^{2}\theta–2\cos^{2}\theta}{4\sin^{2}\theta+3\cos^{2}\theta} = \frac{4\tan^{2}\theta–2}{4\tan^{2}\theta+3}$
Putting the value of $\tan\theta =\frac{3}{4}$ in this expression, we have,
= $\frac{4×\frac{9}{16}–2}{4×\frac{9}{16}+3}$
= $\frac{\frac{9}{4}–2}{\frac{9}{4}+3}$
= $\frac{\frac{1}{4}}{\frac{21}{4}}$
= $\frac{1}{21}$
Hence, the correct answer is $\frac{1}{21}$.