Correct Answer: Rs. 240

Solution : Let the Cost price (CP) be Rs. $x$.
Selling price (SP) of the bag = Rs. 230 and profit = 15%
SP = $\frac{100 +\text{Profit %}}{100}$ × CP = 230
⇒ $\frac{115x}{100}$ = 230
⇒ $x$ = $\frac{230}{115}$ × 100
⇒ $x$ = 200

Correct Answer: 0

Solution : $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$
We know that,
$\cos(x + y) = \cos x \cos y - \sin x \sin y$
Applying,
$\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$
= $-(-\sin 25^{\circ} \sin 65^{\circ}+\cos 25^{\circ} \cos 65^{\circ})$
= $-\cos(25^{\circ}+65^{\circ})$
= $-\cos90^{\circ}=0$
Hence, the

Correct Answer: Nitish Kumar

Solution : The correct option is Nitish Kumar.

Nitish Kumar is the longest-serving Chief Minister of Bihar. He started his political journey in the 1970s and was initially associated with the socialist movement. In 2014, he served as Bihar CM from 2005 to 2014. Nitish Kumar

Correct Answer: Regulating Act

Solution : The Correct Answer is  Regulating Act

The East Indian Company Act of 1784, also known as the Pitt's Act of 1784, was primarily intended to prevent the British government and companies from becoming helpless. In order to fix the problems with the Regulating Act

Correct Answer: Alauddin Hasan

Solution : The correct option is Alauddin Hasan.

His original name was Zafar Khan and Hasan Gangu. The Bahmani Sultanate was a medieval Islamic state in India that was founded in 1347. It was established by Alauddin Bahman Shah, who declared independence from the Delhi Sultanate.

Correct Answer: (325, 112, 215)

Solution : Given:
(267, 128, 139)

Here, (267, 128, 139)→128 + 139 = 267

Let's check the options –
First option: (267, 132, 135)→132 + 135 = 267
Second option: (325, 112, 215)→112 + 215 = 327 ≠ 325
Third option: (365, 154, 211)→154 +

Correct Answer: (4, 8, 24)

Solution : Given:
(1, 5, 12)

Here,
(1, 5, 12) → 1 + 5 = 6; 6 × 2 = 12

Let's check the options –

First option: (7, 11, 35) → 7 + 11 = 18; 18 × 2 = 36

Second option: (4,

Correct Answer: 16 cm and 12 cm

Solution :
Given: In a right-angled triangle, the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3.
Let the two sides be $4x$ cm and $3x$ cm.
Then $(4x)^2+(3x)^2=20^2$
⇒ $25x^2=400$
⇒ $x^2=\frac{400}{25}$
⇒ $x^2=16$
⇒

Correct Answer: Indispensable

Solution : The correct choice is the second option.

The word indispensable is the most appropriate one-word substitution for the group of words because it means something that is absolutely necessary, essential, and cannot be done without. It conveys the idea that a particular thing or quality

Correct Answer: $3$

Solution : Given:
$x+y+z=0$
So, $x^3+y^3+z^3=3xyz$
$\frac{x^2}{yz}+\frac{y^2}{xz}+\frac{z^2}{xy}$
= $\frac{x^3}{xyz}+\frac{y^3}{xyz}+\frac{z^3}{xyz}$
= $\frac{x^3+y^3+z^3}{xyz}$
= $\frac{3xyz}{xyz}$
= $3$
Hence, the correct answer is $3$.