Correct Answer: 118

Solution : Given:
+ means ÷, ÷ means –, – means ×, × means +
12 – 8 × 6 – 4 ÷ 6 + 3 = ?

On replacing the symbols according to the instructions given, we get –
= 12 × 8 + 6 ×

Correct Answer: WTP

Solution : Let's check each option –

First option: ZVR→Z – 4 = V; V – 4 = R
Second option: QMI→Q – 4 = M; M – 4 = I
Third option: OKG→O – 4 = K; K – 4 = G
Fourth option: WTP→W –

Correct Answer: 132

Solution : Given:
111, 113, 118, 120, 125, 127, ?

The pattern followed here is that each number in the series is increased by 2 and 5 alternatively.
111 + 2 = 113
113 + 5 = 118
118 + 2 = 120
120 + 5 =

Correct Answer: QSRP

Solution : The correct choice is the first option.

Explanation:

Part Q sets the context or the timeframe of the event.
Part S describes the continued significance of the writing despite the passing time.
Part R specifies the current focus or subject matter.
Part P introduces the

Correct Answer: $2 \cos^2 \theta-1$

Solution : $\cos2\theta = \cos^2\theta-\sin^2\theta$
$= \cos^2\theta-(1-\cos^2\theta)$
$= 2\cos^2\theta-1$
Hence, the correct answer is $2\cos^2\theta-1$.

Correct Answer: Autobiography

Solution : The fourth option is the correct choice.

"Autobiography" precisely represents the life history of a person written by that person.

The meanings of the other options are as follows:

• "Biography" is a life history of a person written by someone else, not the person himself.

Correct Answer: 60°

Solution :
Radius = $\frac{\text{Diameter}}{2}$
In an equilateral triangle, since the three sides are equal the three angles opposite to the equal sides, are equal in measure.
OA = OB = AB = 10 cm
⇒ $\triangle$OAB is an equilateral triangle.
So, $\angle$OAB = $\angle$OBA = $\angle$AOB

Correct Answer: Assam

Solution : The correct option is Assam.

The Bihu dance is a dynamic traditional folk dance originating from the northeastern Indian state of Assam. It holds a place in the Bihu festival, with various agricultural and cultural events throughout the year. This dance form is characterised

Correct Answer: Sports

Solution : As per the chart,
The sum of all the central angles in a pie chart is 360°.
The Sports head has the maximum expenditure with a central angle of 120°.
Hence, the correct answer is Sports.

Correct Answer: 18

Solution : $\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)^2=9$ 
$⇒\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right) = 3$
$⇒\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)^3 = 3^3$
$⇒\mathrm{k}^3+ \frac{1}{\mathrm{k}^3}+3×\mathrm{k}×\frac{1}{\mathrm{k}}(\mathrm{k}+\frac{1}{\mathrm{k}})=27$
$⇒ \mathrm{k}^3 + \frac{1}{\mathrm{k}^3}=27- 3(\mathrm{k} + \frac{1}{\mathrm{k}} )$
$⇒\mathrm{k}^3 + \frac{1}{\mathrm{k}^3} = 27 - 3\times3$
$⇒\mathrm{k}^3 + \frac{1}{\mathrm{k}^3}=18$
Hence, the correct answer is 18.