Correct Answer: Directive Principles of State Policy

Solution : The Correct Answer is Directive Principles of State Policy

The Directive Principles of State Policy (DPSP) are found in Part IV of the Indian Constitution, Articles 36–51. These tenets seek to create a welfare state in India and guarantee socioeconomic

Correct Answer: $-\cos ^2 \theta \sin ^2 \theta$

Solution : $\frac{\tan ^6 \theta-\sec ^6 \theta+3 \sec ^2 \theta \tan ^2 \theta}{\tan ^2 \theta+\cot ^2 \theta+2}$
Since $0^{\circ}<\theta<90^{\circ}$, putting $\theta=45^{\circ}$
$\frac{\tan ^6 45^{\circ}-\sec ^6 45^{\circ}+3 \sec ^2 45^{\circ} \tan ^2 45^{\circ}}{\tan ^2 45^{\circ}+\cot ^245^{\circ}+2}$
$=\frac{1-(\sqrt2)^6+ 3\times (\sqrt2)^2\times 1}{1+1+2}$
$=\frac{1-8+6}{1+1+2}=-\frac{1}{4}$
From option

Correct Answer: 15

Solution : The figure can be labeled as shown below –

There are a total of 15 triangles in the figure. They are AHB, AHD, BHC, DHC, ABD, BCD, BAC, ADC, EHC, CHF, GHF, CHG, BHE, DHG, DHF.

Hence, the second option is correct.

Correct Answer: $\frac{1}{679}$

Solution : $\frac{432^2+247^2-432 \times 247}{432^3+247^3}$
Using identity $x^3+y^3 = (x+y)(x^2+y^2-x \times y)$, 
$\frac{432^2+247^2-432 \times 247}{(432+247)(432^2+247^2-432 \times 247)}$
$=\frac{1}{(432+247)}$
$= \frac{1}{679}$
Hence, the correct answer is $\frac{1}{679}$.

Correct Answer: equipped

Solution : The most appropriate option to fill in the blank is the fourth option.

Explanation: The word technically in the sentence indicates that the industry is being described in terms of technical aspects. The adjective equipped fits well in this context, suggesting that the Indian tea

Correct Answer: 3

Solution : The error lies in the third part of the sentence.

Explanation: The preposition "for" is incorrect in this context. When talking about supporting something, the correct preposition to use is "of". The term "in support of" means strengthening something.

Hence, the correct sentence should be:

Correct Answer: EHSL

Solution : Given:

SH _ ELAS _ EELA _ HEELASHEE _ A

We have to check the order of the letters in the given series.

To fill the series we have to divide the series, SH _ / ELA / S _ E/ ELA / _  HE

Correct Answer: $360 \sqrt{13}$

Solution : Given, $y+\frac{1}{y}=11$
Squaring both sides, we get:
$⇒(y+\frac{1}{y})^2=11^2$
$⇒(y-\frac{1}{y})^2+4(y)(\frac{1}y)=121$
$⇒(y-\frac{1}{y})^2+4=121$
$⇒(y-\frac{1}{y})^2=121-4$
$⇒(y-\frac{1}{y})=3\sqrt{17}$
Cubing both sides, we get:
$⇒(y-\frac{1}{y})^3=(3\sqrt{17})^3$
$⇒y^3-\frac{1}{y^3}-3(y)(\frac{1}{y})(y-\frac{1}{y})=351\sqrt{13}$
$⇒y^3-\frac{1}{y^3}-3(3\sqrt{17})=351\sqrt{13}$
​​​​​​$⇒y^3-\frac{1}{y^3}=351\sqrt{13}+9\sqrt{13}$
$\therefore y^3-\frac{1}{y^3}=360\sqrt{13}$
Hence, the correct answer is $360\sqrt{13}$.

Correct Answer: YUCIDMP

Solution : Given:
PDFJARS is written as OCELZQR.
MHCXBTU is written as LGBZAST.

Subtract 1 from the place values of the letters except the middle one; add 2 to the place value of the letter in the middle of the given word.
Like, PDFJARS→P – 1 =

Correct Answer: The teacher said to me, "Why did you reach the examination hall so late?"

Solution : The third option is correct choice.

In direct speech, the words of the speaker are directly quoted in quotation marks.

Narration Conversion:

• The reporting verb asked is changed to said in the