It's a Question of your Career!

Correct Answer: 12 years

Solution : Given:
A man was 31 years old when his son was born.

When their son was 7 years old, his wife's age = 26 years
Wife's age when the son was born = (26 – 7) = 19 years

Therefore, the difference between the

Correct Answer: $2:1$

Solution : $\frac{a-b}{b-c}=\frac{1}{2}⇒2a+c = 3b$ ........(1)
$\frac{a-b}{c-d}=\frac{1}{3} ⇒3a-3b = c-d$ ........(2)
Substituting the value of $b$ from (1) in (2),
$3a-2a-c=c-d$
⇒ $a+d = 2c$
$\therefore (a + d):c = \frac{2c}{c} = 2:1$
Hence, the correct answer is $2:1$.

Correct Answer: Homicide

Solution : The correct choice is the first option.

Homicide is the appropriate term for the killing of one person by another because it broadly encompasses any unlawful killing of one person by another individual.

The meanings of the other options are as follows:

• Fratricide means the

Correct Answer: attain

Solution : The correct choice is the second option.

In this context, attain means to achieve or reach a specific goal or outcome through exercise. When someone exercises, they engage in physical activity with the intention of obtaining or achieving certain results, such as improving fitness,

Correct Answer: As such you

Solution : The correct choice is the fourth option.

The grammatical error lies in the incorrect use of the phrase as such. The phrase as such is typically used to refer to the essence or nature of something, and it doesn't fit well in

Correct Answer: 6

Solution : The correct option is 6.

Part III of the Indian Constitution enlists six groups of fundamental rights. These include:

1. Right to Equality (Articles 14–18)
2. Right to Freedom (Articles 19–22)
3. Right against Exploitation (Articles 23–24)
4. Right to Freedom of Religion (Articles 25–28)
5. Cultural and Educational Rights

Correct Answer: Abd al-Razzaq

Solution : The correct option is Abd al-Razzaq.

Abd al-Razzaq, a Persian ambassador, was sent to Vijayanagara by the Timurid ruler Shah Rukh in the 15th century. His mission aimed to strengthen diplomatic ties and gather information about the prosperous Vijayanagara Empire, contributing to historical

Correct Answer: Cowardly

Solution : The correct choice is the third option.

Craven refers to someone who is lacking in courage, timid, or cowardly, which aligns with the meaning of cowardly.

The meanings of the other options are as follows:

• Bold means showing a willingness to take risks or

Correct Answer: $12\pi$

Solution :
Diagonal of square = $9\sqrt2$
Diagonal = side$\sqrt2$
$9\sqrt2=side\sqrt2$
Side = 9 cm
Perimeter of the square = 9 × 4 = 36
$\therefore$ Perimeter of the triangle = 36
Side = $\frac{36}{3}=12$
We know that
Radius of the incircle = $\frac{\text{Side of the triangle}}{2\sqrt3}$

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

Solution : Given:
$\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$
⇒ $\frac{1}{\sin\theta}+\sin\theta=\frac{5}{2}$
⇒ $\frac{1+\sin^{2}\theta}{\sin\theta}=\frac{5}{2}$
⇒ $2\sin^{2}\theta-5\sin\theta+2=0$
⇒ $2\sin^{2}\theta-4\sin\theta-1\sin\theta+2=0$
⇒ $2\sin\theta (\sin\theta-2)-1(\sin\theta-2)=0$
⇒ $(\sin\theta-2)(2\sin\theta-1)=0$
⇒ $\sin\theta= 2,\frac{1}{2}$
$\sin\theta$'s value can't be 2.
So, $\sin\theta=\frac{1}{2}=\sin30^{\circ}$
⇒ $\theta=30^{\circ}$
$\operatorname{cosec}\theta-\sin\theta$
$=\operatorname{cosec}30^{\circ}-\sin30^{\circ}$
$= 2-\frac{1}{2}$
$=\frac{3}{2}$
Hence, the correct answer is $\frac{3}{2}$.