Correct Answer: Pune

Solution : The correct option is Pune.

The PARAM supercomputer in India is located in Pune, Maharashtra. The Centre for Development of Advanced Computing (C-DAC) in Pune planned and built it. PARAM supercomputers are used for a variety of applications by both public and commercial operators, including

Correct Answer: 20,000

Solution : Let $x$ be the total number of votes.
Number of votes casted = 80% of $x$ = $\frac{80}{100}×x$
Number of invalid votes = 2% of votes cast 
Number of valid votes = 98% of votes cast= $\frac{98}{100}×\frac{80}{100}×x$
Number of votes A got = 60% of

Correct Answer: $2m$

Solution : We know that $\cos\theta+\sin\theta=m$ and $\sec\theta+\operatorname{cosec \theta}=n$.
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left((\cos\theta+\sin\theta)^{2}-1\right)$
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left(\cos^{2}\theta+2\sin\theta\cos\theta+\sin^{2}\theta-1\right)$
We know that $\cos^{2}\theta+\sin^{2}\theta=1$,
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left(2\sin\theta\cos\theta\right)$
$⇒n\left ( m^{2}-1 \right ) = 2\sin\theta\cos\theta\left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)$
$⇒n\left ( m^{2}-1 \right ) =

Correct Answer: Both I and II

Solution : The correct answer is Both I and II.

A constant final goods price and constant rate of interest over the short run are assumed as it helps to analyse the relationship between aggregate demand, and other macroeconomic variables such as consumption,

Correct Answer: Chest

Solution : Given:
1. Chimney 2. Cherry 3. Childish 4. Chess 5. Chest

Start from Cherry because e comes before i → Cherry
Now, write Chess because r comes before s → Chess
Now, write Chest because s comes before t →

Correct Answer: 14

Solution : The given figure can be labelled as shown below –

Now, in the above figure, there are a total of 14 triangles. They are ACE, ABG, BGH, BHD, DHF, GHF, GDB, BGF, BDF, GDF, FDE, BCD, DGE, ABF.

Hence, the first option is correct.

Correct Answer: Heard

Solution : The first option is the correct choice.

"Heard" is the past participle form (V3) of "hear" which means to perceive or become aware of by the ear, and this form should be used after the auxiliary verbs ''have'' or ''has''.

The meanings of the other

Correct Answer: in

Solution : The correct choice is the third option.

The preposition "in" is the most appropriate choice in this context because it conveys the idea of arranging or organising something within a particular condition, which is the intended meaning here.

Therefore, the complete sentence is: "Put your

Correct Answer: Physically or mentally tough.

Solution : The correct choice is the third option.

Explanation:

The idiom as hard as nails is an expression used to describe someone who is very tough, either physically or mentally. It implies a high level of resilience, strength, or durability. In this

Correct Answer: On the cards

Solution : The correct choice is the first option.

On the cards means something likely or expected to happen in the future, often based on current circumstances or indications. In this context, saying Nitish's promotion is "on the cards" implies that his promotion is expected