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Correct Answer: Uttar Pradesh

Solution : The correct answer is Uttar Pradesh.

Uttar Pradesh is the most populated State in India according to the Census of 2011. The population of Uttar Pradesh is 16.51% of the total population of India. The population density of Uttar Pradesh is 828 per square

Correct Answer: $\frac{6070}{14973}$

Solution : Given:
 $S=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms.
Rewriting it like,
$\frac{1}{1×3×5}+\frac{1}{3×5×7}+\frac{1}{5×7×9}+...+\frac{1}{1×4}+\frac{1}{4×7}+\frac{1}{7×10}+...$Up to 20 terms.
$=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{3×5}+\frac{1}{3×5}-\frac{1}{5×7}+\frac{1}{5×7}-\frac{1}{7×9}+...–\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...-\frac{1}{31}]$
It will cancel out most of the terms except the first and last term.
$=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{31}]$
$=\frac{40}{483}+\frac{10}{31}$
$=\frac{6070}{14973}$
Hence, the correct answer is $\frac{6070}{14973}$.

Correct Answer: (1)

Solution : The correct answer is the first option.

In the sentence "because of the heavy rains, the lake was flooded," the phrase because of the is used to explain why the lake was flooded. It clearly and concisely indicates that heavy rains were the cause of

Correct Answer: Singapore

Solution : The correct answer is Singapore.

Inspired by the Olympic Games, the summit conference of young Olympians with talent happens every four years. In 2010, Singapore hosted the first event, and in 2012, Innsbruck hosted the first-ever winter version. Singapore participated in the 2010 Summer Youth

Correct Answer: # = NKF, % = MTU

Solution : Given:
# : KNE :: PQV : %

Let's check the options –
First option: # = NOB, % = SRY
NOB : KNE→N – 3 = K; O – 1 = N; B + 3 = E
PQV :

Correct Answer: the firm is at a zero-profit point

Solution : The correct answer is the firm is at a zero-profit point

In business and economics, the "break-even point" occurs when a company's entire revenue matches its overall expenses, leading to neither a profit nor a loss. Thus, it is

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

Correct Answer: Darwin 

Solution : Correct Answer is Darwin

In the 1850s, Charles Darwin penned the controversial and influential book On the Origin of Species. He founded the scientific theory that the process he called "natural selection" produced the branching pattern of evolution .The discovery of human antiquity, which served

Correct Answer: 8

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

In the above-labelled figure, there are a total of 8 quadrilaterals. They are ABED, BDGF, AEGD, AEFB, BCEF, ECDG, FBAD, GDAB.

Hence, the fourth option is correct.

Correct Answer: managed currency

Solution : The correct answer is managed currency.

A managed currency is one in which the government or central bank of a country intervenes and modifies its market value or purchasing power. By issuing new money, controlling interest rates, and overseeing foreign exchange reserves, central