It's a Question of your Career!

Correct Answer: New Delhi

Solution : The correct answer is New Delhi.

For Indian scientists working in all fields of science and technology, the Indian National Science Academy (INSA) is a national academy located in New Delhi. Its goals were to advance science in India and use scientific knowledge

Correct Answer: $\frac{7}{8}$

Solution : Given: $2x+\frac{2}{x}=3$
$2(x+\frac{1}{x})=3$
$(x+\frac{1}{x})=\frac{3}{2}$
Cubing both sides, we get:
$(x+\frac{1}{x})^3=(\frac{3}{2})^3$
⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=\frac{27}{8}$
⇒ $x^3+\frac{1}{x^3}+3×\frac{3}{2}=\frac{27}{8}$
⇒ $x^3+\frac{1}{x^3}=\frac{27}{8}–\frac{9}{2}$
⇒ $x^3+\frac{1}{x^3}=–\frac{9}{8}$
To get the value of $x^{3}+\frac{1}{x^{3}}+2$, we need to add 2 both sides.
Thus, $x^{3}+\frac{1}{x^{3}}+2 = –\frac{9}{8}+2$
$\therefore x^{3}+\frac{1}{x^{3}}+2 = \frac{7}{8}$
Hence, the correct answer is $\frac{7}{8}$.

Correct Answer: Ramu

Solution : Given:
(I) Vivek is second to the right of Anil. Kamal is third to the left of Anil. Ramu is second to the right of Vivek.

(II) Ram is second to the right of Ramu. Aakash is second to the right of Rahul. Rahul is

Correct Answer: Poignant

Solution : The first option is correct.

Poignant is an adjective that describes something that evokes a deep sense of sadness or regret, often with a mixture of sympathy and emotional intensity.
Pungent refers to a strong, sharp smell or taste and does not convey the specific

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image

Correct Answer: 12 km; 24 km/hr

Solution : Speed of the thief = 20 km/hr
Let the speed of the policeman be $x$ km/hr.
Time after the policeman starts chasing the thief = 6 minutes
Distance between them 30 minutes after the crime = 400 m = 0.4 km
According

Correct Answer: 12 minutes

Solution : 36 = 3 × 3 × 2 × 2
40 = 2 × 2 × 2 × 5
48 = 2 × 2 × 2 × 2 × 3
So, LCM = 2 × 2 × 2 × 2 × 3 × 3 ×

Correct Answer: $\frac{11}{12} p^2$

Solution : Use the formula,
The area of the rectangle = Length × Breadth
The area of the square = Side²
According to the question,
The length of the rectangle $=\frac{1}{2}\times p=\frac{p}{2}$
The breadth of the rectangle $=\frac{1}{3}\times \frac{p}{2}=\frac{p}{6}$
The area of the rectangle $=\frac{p}{2}

Correct Answer: 450 m

Solution : Relative speed of the trains = 80 – 26 = 54 km/hr = $54×\frac{5}{18}$ =15 m/s
Time taken = 30 s
Distance = 15 × 30 = 450 m
So the combined length of both trains = 450 m
Hence, the correct answer is

Correct Answer: RESPONDENT

Solution : Given:
CORRESPONDENCE

Now, let's compare all the option words with the word CORRESPONDENCE –
First option: RESPONDENT; T is not present in the word CORRESPONDENCE. Therefore, all the letters of RESPONDENT are not present in the word CORRESPONDENCE.
Second option: CONDENSE; All the letters of