Correct Answer: One can achieve nothing without hard work.

Solution : The fourth option is the correct answer.

Active voice is a sentence structure where the subject performs the action expressed by the verb. In the provided transformation, "one can achieve" replaces "nothing can be achieved" making the subject ("one")

Correct Answer: 4 km east

Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find distance and the final position with respect to the starting position –

The distance between starting position and end point = 10 – 6 = 4

Correct Answer: 25 – 15 + 5 ÷ 4 × 16 = 21

Solution : Let's check the options —

First option: 25 – 15 + 5 ÷ 4 × 16 = 21;

After replacing the symbols as per the code language, the equation becomes 25 + 15 ÷ 5

Correct Answer: $-3\sqrt{5}$

Solution : $(x-\frac{1}{x})^{2}=(x^2+\frac{1}{x^2}-2)$
⇒ $(x-\frac{1}{x})^{2}=7-2$
⇒ $(x-\frac{1}{x})^{2}=5$
⇒ $(x-\frac{1}{x})=-\sqrt{5}$ since $0<x<1$
Again, $(x+\frac{1}{x})^{2}=(x^2+\frac{1}{x^2}+2)$
⇒ $(x+\frac{1}{x})^{2}=(7+2)$
⇒ $(x+\frac{1}{x})^{2}=9$
⇒ $(x+\frac{1}{x})=3$ since $0<x<1$
Now we know $(x-\frac{1}{x})(x+\frac{1}{x})= x^2-\frac{1}{x^2}$
⇒ $x^2-\frac{1}{x^2}=-\sqrt{5}\times 3$
⇒ $x^2-\frac{1}{x^2}=-3\sqrt{5}$.
Hence the correct answer is $-3\sqrt{5}$.

Correct Answer: 2, 4, 1, 3, 5

Solution : Given:
1. Drum 2. Drubbing 3. Drunken 4. Drudgery 5. Duster

Step 1: Compare the first letter of each word. Since all the words start with the same letter D, then move on to the next letter.
Step 2: The

Correct Answer: LOVM

Solution : Given:
RMTS, WGAK, BAHC, GUOU, ?

Add and subtract alternatively consecutive natural numbers (starting from 5) from each letter of the previous term to obtain the next term –

RMTS→R + 5 = W; M – 6 = G; T + 7 = A; S

Correct Answer: Judaism

Solution : The correct answer is Judaism.

In Judaism, a synagogue, usually spelt synagog, is a community building of worship that serves not just for liturgical services but also for assembly and study. Three Hebrew synonyms for synagogue, bet ha-tefilla (house of prayer), bet ha-Knesset and bet

Correct Answer: Andhra Pradesh

Solution : The correct option is Andhra pradesh.

The Nallamal Hills, situated in the state of Andhra Pradesh, are not only known for their scenic beauty but also for their significant biodiversity and the role they play in the region's hydrology. The Nallamal Hills are a

Correct Answer: 51

Solution : Given:
27, 38, ?, 68, 87, 110

Add consecutive prime numbers (starting from 11) to each number in the given series to get the next number of the series.
27 + 11 = 38; 38 + 13 = 51; 51 + 17 = 68; 68

Correct Answer: RSD

Solution : Given:
LMA, NOB, PQC, ?, TUE

In the given series, add 2 to the place value of the first and second letters and add 1 to the place value of the third letter of the previous term to obtain the next term –
LMA→L +