Who was the last Viceroy of India?

Solution
Last Viceroy of India was C. Rajgopalachari. How ever, last British Viceroy was Lord Mountbatten.
Which one is not situated at Fatehpur Sikri?

Solution
Moti Masjid
The Pravasi Bharatiya Diwas concluded in________on January 9,2012.

Solution
The Pravasi Bhartiya Diwas Concluded in Jaipur on Jan 9,2012
The radius of the base and height of a right circular cone are in the ratio 5 : 12.If the volume of the cone is 314^{2}⁄_{7} cm^{3} the slant height (in cm) of the cone will be

Solution
Let the radius of the base of the cone be 5xcm and its height be 12xcm
\(∴V=\frac{1}{3}\pi r^{2}h\)
\(\Rightarrow 314\frac{2}{7}=\frac{1}{3}\times \frac{22}{7}\times 5x\times 5x\times 12x\)
\(\Rightarrow x^{3}=\frac{2200 \times 3 \times 7}{7 \times 22\times 25\times 12}=1\)
⇒x=1
∴ Slant height of the cone
\(=\sqrt{5^{2}+12^{2}}=\sqrt{25+144}\)
\(\sqrt{169}= 13 \: cm.\)
Note: For a right circular cone,
5^{2} + 12^{2} = 13^{2}
If a triangle with base 8 cm has the same area as a circle with radius 8 em, then the corresponding altitude (in cm) of the triangle is

Solution
Let the corresponding altitude of the triangle = x cm.
According to the question,
Area of the triangle = Area of the circle
⇒^{1}⁄_{2}x×8=π×8×8
⇒x = 2 × 8π = 16π cm
A and B can do a piece of work in 12 days and 15 days respectively. They began to work together but A left after 4 days. In how many more days would B alone complete the remaining work?

Solution
Part of the work done by A and B in 4 days
\(=4\left ( \frac{1}{12}+\frac{1}{15} \right )=4\left ( \frac{5+4}{60} \right )\)
\(=4\times \frac{9}{60}=\frac{3}{5}\)
Remaining work = 1 ^{3}⁄_{5} =^{3}⁄_{5}
∴ Time taken B to complete the remaining work =^{2}⁄_{5} × 15 = 6 days
Directions: In the following questions, choose the word opposite in meaning to the given word.
AFFLUENCE

Solution
Word 'Affluence' (Noun) means: Prosperity.
Hence, the words Affiuence and Poverty are antonymous
Directions: In the following questions, choose the word opposite in meaning to the given word.
INQUISITIV

Solution
Word 'Inquisitive' (Adjective) means: curious; very interested in learning about many different things.
Word 'Unconcenled' (Adjective) means: not interested in something;not worried or anxious about something.
Hence, the words Inquisitive and Unconcerned are antonymous.
Directions: In the following questions, choose the word opposite in meaning to the given word.
TREACHEROU

Solution
Word'Treacherous' (Adjective) means : that cannot be trusted; deceitful; unfaithful.
Look at the seateace :He was weak, cowardly and treacherous.
Hence, the words Treacherous and Faithful are antonymous.
Directions: In the following questions, choose the word opposite in meaning to the given word.
COMPL

Solution
Word'Comply' (Verb)means: to obey a rule, an order etc.
Look at the sentence : They refused to comply with the UN resolution.
Word 'Challenge' (verb) means : to question; dispute.
Hence, the words comply and challenge are antonymous.