Correct Answer: Pepe

Solution : The correct answer is Pepe.

Researchers from India and the United Kingdom have developed a hand-washing robot which is named Pepe & it was created to encourage children to wash their hands. It was the second such ‘social robot’ research project conducted by the University

Correct Answer: FN

Solution : Let's check the options –
First option: MT; M + 7 = T
Second option: CJ; C + 7 = J
Third option: SZ; S + 7 = Z
Fourth option: FN; F + 8 = N

The fourth option does not fit the pattern.

Correct Answer:

Solution : According to the given figures –
Each figure given in the box is rotated by 90° in a clockwise direction.
So, following the above pattern, the required figure will be as follows –

Therefore, the figure in the second option is the required figure. Hence, the

Correct Answer: Favourable

Solution : The second option is correct.

Hostile is an adjective that is used to describe a situation of aggression, opposition, or unfriendliness.

Favourable is used to describe a situation that is advantageous, positive, and supportive. Both the words display contrasting meanings, as one describes a negative

Correct Answer: –6

Solution : As we know,
If $a + b + c = 0$
Then, $a^3 + b^3 + c^3 = 3abc$
Now, 0.321 + 0.456 – 0.777 = 0
Then, $0.321^3 + 0.456^3 - 0.777^3 = -3 \times 0.321 \times 0.456 \times 0.777$
So, $\frac{(0.321)^3+(0.456)^3-(0.777)^3}{0.9 \times(0.107)(0.76)(0.777)}$
=

Correct Answer: 729

Solution : Given:
7 : 343 :: 9 : ?

7³ = 343 (343 is the cube of 7)
Similarly, 9³ = 729 (729 is the cube of 9)

Hence, the third option is correct.

Correct Answer: 6500

Solution : Given: An article is sold for Rs. 5330 after a discount of 18%.
Let the marked price be $x$.
⇒ Selling price after 18% discount = $x – 0.18x = 0.82x$
⇒ $0.82x = 5330$
∴ Marked price = $ x = \frac{5330}{0.82}$ = Rs.

Correct Answer: 7

Solution : The correct option is 7.

Over 22 nuclear reactors, spread across seven power stations in India, are in operation and provide 6780 MW of nuclear power annually. Moreover, the Kakrapar Atomic Power Project (KAPP-3) effectively included a third reactor in the power system in

Correct Answer: 10

Solution : Given, $\angle DAB=110^{\circ}$ and $\angle BEC=100^{\circ}$
Since the angle subtended by the chord at the centre is double the angle subtended by the chord at the circumference,
reflex$\angle BOC = 2\angle BEC = 200^\circ$
So, $\angle BOC = 360^\circ-200^\circ = 160^\circ$
By angle sum property

Correct Answer: $x^4-(x-y)^4$

Solution : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$
$=2xy^3 + 2xy^3 - 2x^2y^2 - 4x^2y^2 + 4x^3y- y^4 $
$=2xy^3 - 2x^2y^2 - y^4 + 4x^3y + 2xy^3 - 4x^2y^2$
$=-y^2(-2xy + 2x^2 + y^2) + 2xy (2x^2 + y^2 - 2xy)$
$=(2xy - y^2) (2x^2