It's a Question of your Career!

Correct Answer: 4.8%

Solution : Given: The salary of Amit is 75% of the salary of Aman. The salary of Amit increases by 40% and the salary of Aman increases by 10%.
Let Aman's original salary as 100
So, Amit's original salary = 100 × $\frac{75}{100}$ = 75 
After the

Correct Answer: $x^{2}y^{2}\left ( x^{2}+y^{2}+3 \right )=1$

Solution : $x=\operatorname{cosec \theta}-\sin\theta$
⇒ $x=\frac{1}{\sin\theta}-\sin\theta=\frac{1-\sin^2\theta} {\sin\theta}=\frac{\cos^2\theta}{\sin\theta}$
Also, $x^2=(\frac{\cos^2\theta}{\sin\theta})^2$_____ (i)
$y=\sec\theta-\cos\theta$
⇒ $y=\frac{1}{\cos\theta}-\cos\theta=\frac{1-\cos^2\theta}{\cos\theta}=\frac{\sin^2\theta}{\cos\theta}$
⇒ $y^2=(\frac{\sin^2\theta}{\cos\theta})^2$_____ (ii)
So, $x^2+y^2=(\frac{\cos^2\theta}{\sin\theta})^2+(\frac{\sin^2\theta}{\cos\theta})^2$
⇒ $x^2+y^2=\frac{\cos^4\theta}{\sin^2\theta}+\frac{\sin^4\theta}{\cos^2\theta}$
⇒ $x^2+y^2=\frac{\cos^6\theta+\sin^6\theta}{\sin^2\theta\cos^2\theta}$
Add 3 to both sides, we get,
⇒ $x^2+y^2+3=\frac{\cos^6\theta+\sin^6\theta}{\sin^2\theta\cos^2\theta}+3$
⇒ $x^2+y^2+3=\frac{\cos^6\theta+\sin^6\theta+3\sin^2\theta\cos^2\theta(\sin^2\theta+\cos^2\theta)}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{(\cos^2\theta+\sin^2\theta)^3}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{1}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{\sin^2\theta\cos^2\theta}{\sin^4\theta\cos^4\theta}$
⇒ $x^2+y^2+3=\frac{1}{(\frac{\cos^2\theta}{\sin\theta})^2×(\frac{\sin^2\theta}{\cos\theta})^2}$
From equation

Correct Answer: agricultural sector

Solution : The correct answer is the agricultural sector.

Agriculture is the primary source of disguised unemployment in India. Agriculture employs the most people in India, accounting for more than half of the total. However, agricultural production is low, and there is an excess of

Correct Answer: 63

Solution : Given that:
$a + b + c = 14$ and $a^3 + b^3 + c^3 - 3abc = 98$
We have to find the value of $ab +bc +ca$
We know that,
$a^3 + b^3+ c^3 - 3abc = 98$
⇒ $(a^2+ b^2+ c^2 -

Correct Answer: Two

Solution : Given:
WORKING

Arrange the letters of WORKING in the alphabetical order –
W O R K I N G→G I K N O R W

Now, according to the new letter cluster formed, the third letter from the left is K and the fourth letter

Correct Answer: Tear gas

Solution : The correct option is Tear gas.

Chlorine is a prominent component of tear gas, which is normally composed of a variety of chemicals, one of which is chloroacetophenone (CN) or chlorobenzalmalononitrile (CS), both of which decompose and create chlorine gas. Tear gas can

Correct Answer:

Solution : According to the given figure series –
1. The triangle inside the pentagon moves from top left to top right, then again from top right to top left, and so on.
2. The rectangle inside the pentagon moves from bottom right to bottom left, then again

Correct Answer: Only conclusions II and III follow

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some tigers are cats – From the Venn diagram, there is no definite relation between tigers and cats. Therefore, this

Correct Answer: 19

Solution : Given:
9 A 2 B 6 D 4 C 2 = ?

After replacing the letters with mathematical signs, the equation becomes –
= 9 + 2 × 6 – 4 ÷ 2
= 9 + 2 × 6 – 2
= 9 + 12

Correct Answer: 24 km/hr

Solution : Let the total distance be 100 km.
Half distance = $\frac{100}{2}$ = 50 km
Speed = 60 km/hr
Time taken to cover half the distance = $\frac{50}{60}$ = $\frac{5}{6}$
Remaining distance = 50 km
Distance = 40% of the remaining distance = $\frac{40}{100}×50$ =