It's a Question of your Career!

Correct Answer: 105°

Solution : Given: In an isosceles $\triangle ABC$, $AB = AC$.
$\angle BAC=30°$
We know that the sum of all the angles in a triangle is 180°.

In an isosceles $\triangle ABC$, $AB = AC$.
So, $\angle ABC=\angle ACB$
$\angle ABC + \angle ACB + \angle BAC

Correct Answer: ABABCBBAB

Solution : Given:
A_ _BCD_AB_ _DAA_ _CDA_ _BCD

To fill the series we have to divide the series –
A_ _BCD \ _AB_ _D \ AA_ _CD \ A_ _BCD

Let's check each option –
First option: ACBBABBAB; AACBCD \ BABBAD \

Correct Answer: 9

Solution : Given: $\tan \mathrm{A}=\frac{3}{4}$
We know that $\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}=\frac{3}{4}$
Let perpendicular = $3k$ and base = $4k$ [where $k$ is a non zero constant]
So, Hypotenuse $=\sqrt{(3k)^2+(4k)^2}=\sqrt{25k^2}=5k$
⇒ $\sin A =\frac{\text{Perpendicular}}{\text{Hypotenuse}}=\frac{3k}{5k}=\frac{3}{5}$
Now, $\frac{6 \sin A}{1-\sin A}$
$= \frac{6 ×\frac{3}{5}}{1-\frac{3}{5}}$
$= \frac{\frac{18}{5}}{\frac{2}{5}}$
$=9$
Hence, the correct answer

Correct Answer: Firewood

Solution : The correct option is Firewood.

Firewood is not a commercially viable energy source. While firewood is utilised for heating and cooking in many households and communities, it is rarely marketed on a wide scale as a commercial energy source. Coal, petroleum, and natural gas, on

Correct Answer: 150

Solution : Average of boys = 12 years
Average of girls = 11 years
Average of all students = 11 years 9 months
By using alligation, we get:

Total students = 600
Girls = 12 years – 11 years 9 months = 3 months
Boys = 11

Correct Answer: can

Solution : The first option is correct.

The sentence describes the physical ability of elephants' pillar-like legs to carry their great weight. Can is used to express the capability or ability to perform this function.

The meanings of the other options are as follows:

• Should suggests obligation

Correct Answer: 135

Solution : Increase = $11 \frac{1}{9}$% and 10%
Net increase = $\frac{100}{9} + 10 + \frac{100}{9}×\frac{10}{100}$ = $\frac{200}{9}$%
R = 165
So, Z + $\frac{200}{9}$% of Z = 165
⇒ $\frac{11}{9}$ × Z = 165
⇒ Z = $\frac{165×9}{11}$ = 15 × 9 = 135
Hence, the

Correct Answer: YOU

Solution : Given:
R : ARE :: U : ?

Both the letters R and ARE have the same pronunciation, which means that they sound alike when spoken aloud.
Thus, R is written as ARE.
Similarly, follow the same pattern for U –
Both the letters U

Correct Answer: fifth

Solution : The correct answer is the fifth.

India is the world's fifth-largest economy by nominal GDP. India's economy boasts diversity and swift growth, fuelled by key sectors such as information technology, services, agriculture, and manufacturing. Nominal Gross Domestic Product (GDP) is GDP given in current prices,

Correct Answer: 24

Solution : Given: 

The pattern can be seen running horizontally along the rows.
Row 1: 7 + 9 = 16→16 ÷ 2 = 8
Row 2: 2 + 4 = 6→6 ÷ 2 = 3