Correct Answer: Shashi Kapoor

Solution : The correct option is Shashi Kapoor.

Shashi Kapoor was a recipient of the Dadasaheb Phalke Award. He received this prestigious award in 2014 for his outstanding contribution to Indian cinema. The Dadasaheb Phalke Award is the highest honour in the Indian film industry

Correct Answer: $\frac{1}{4}$

Solution : Given: $\frac{143 \times 143+143 \times 139+139 \times 139}{143 \times 143 \times 143-139 \times 139 \times 139}$
$=\frac{(143)^2+143\times139+(139)^2}{(143)^3-(139)^3}$
We know, $a^3-b^3=(a-b)(a^2+ab+b^2)$
$=\frac{(143)^2+143\times139+(139)^2}{(143-139)((143)^2+143\times139+(139)^2)}$
$=\frac{1}{143-139}$
$=\frac{1}{4}$
Hence, the correct answer is $\frac{1}{4}$.

Correct Answer: 25.5

Solution : Given that $\left(a+\frac{1}{a}\right)=6$,
Squaring both sides, we get,
$⇒\left(a+\frac{1}{a}\right)^2 = 6^2$
$⇒a^2 + 2 + \frac{1}{a^2} = 36$
$⇒a^2 + \frac{1}{a^2} = 36 - 2 = 34$
$ \therefore\frac{3}{4}\left(a^2+\frac{1}{a^2}\right) = \frac{3}{4} \times 34 = 25.5$
Hence, the correct answer is 25.5.

Correct Answer: working

Solution : The correct choice is the second option.

Explanation: In the sentence, it mentions that the person was relaxing and enjoying leisure time in Spain last week but is now working hard for the firm. The opposite of leisure, in this case, is working.

So,

Correct Answer: 157

Solution : Given:
22, 31, 49, 76, 112, (X)

Add the consecutive multiples of 9 to each term to get the next term.
22 + 9 = 31; 31 + 18 = 49; 49 + 27 = 76; 76 + 36 = 112; 112 + 45 =

Correct Answer: zb

Solution : Given:
1. towards the main gate ⇒ nt zb ps cq
2. main purpose of this ⇒ rq kl bt zb

By comparing all the above-coded sentences, we find that –
The common word and the code in the given sentences are main and zb.

Correct Answer: Soldier

Solution : Given:
Pen : Author :: Gun : ?

Like, an author uses a pen to write.
Similarly, a soldier uses a gun in a Warfield.

Hence, the first option is correct.

Correct Answer: Rs. 16

Solution : Let the original price of rice be $x$ per kg.
Reduction = 20%
New price is 80% of $x$ = $\frac{80}{100}x$ = $\frac{4}{5}x$
According to the question:
$\frac{800}{\frac{4}{5}x}$–$\frac{800}{x}$ = 12.5
⇒ $\frac{1000}{x}$–$\frac{800}{x}$ = 12.5
⇒ $\frac{1000-800}{x}$ = 12.5
⇒ $\frac{200}{12.5}$ = $x$
= 16

Correct Answer: Only conclusion (II) follows

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

Let's analyse the conclusions –
Conclusion (I):
Some Ducks are Eggs – From the Venn diagram, there is no direct relation between ducks and eggs. Thus, no definite relation

Correct Answer: Stabilise

Solution : The correct choice is the first option.

Falter means to hesitate or waver in action, speech, or purpose.

Stabilise means to make or become stable or firmer.

In the context of the given pair, falter and stabilise represent opposite actions, where falter suggests instability