Correct Answer: 7

Solution : Subtract the number of column 2 from column one and divide the resultant by 3 to get the required missing number –

In the first row: (14 – 5) ÷ 3 = 9 ÷ 3 = 3
In the second row:  (24 – 3) ÷

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: 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: He/She should be qualified for election as a member of the Lok Sabha.

Solution : The correct option is He/She should be qualified for election as a member of the Lok Sabha.

The Vice President of India is not required to be qualified for election as a member

Correct Answer: Lord Chelmsford

Solution : The Correct Answer is  Lord Chelmsford

The Act's implementation included harsh and unfair restrictions on Indian citizens who were suspected of engaging in acts of nationalist terrorism. The Rowlatt Act, also called the Anarchical and Revolutionary Crimes Act of 1919, is a law that

Correct Answer: Representative

Solution : The correct answer is Representative.

Democracy can take one of two forms. The first type of democracy is direct democracy, and the second and more popular type is representative democracy. A representative democracy exists in India. India practices indirect democracy. In an indirect democracy,

Correct Answer: $16:81$

Solution :
In $\triangle ADE$ and $\triangle ABC$
$\angle AED=\angle C$ (corresponding angle)
$\angle ADE=\angle B$ (corresponding angle)
$\angle A=\angle A$ (common angle)
$\triangle ADE\sim\triangle ABC$ (by AAA criteria)
$\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}=\frac{4}{9}$
In $\triangle DEF$ and $\triangle BFC$
$\angle EDF=\angle BCF$ (alternate interior angle)
$\angle DEF=\angle CBF$ (alternate interior