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Q:

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ?

A) 3/17 B) 4/21
C) 2/21 D) 5/17
 
Answer & Explanation Answer: C) 2/21

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

 

Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105

Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35

 

Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

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Filed Under: Permutations and Combinations
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Q:

A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?

A) 10 2/3 days B) 13 1/5 days
C) 12 2/3 days D) 11 5/7 days
 
Answer & Explanation Answer: B) 13 1/5 days

Explanation:

3/15 + 4/16 + x/24 = 1

⇒x=1315

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Filed Under: Time and Work
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Q:

Which Indian city has been ranked the world's second most densely populated city with 31,700 people per sq km, by the World Economic Forum (WEF) citing UN Habitat Data  ?

A) Mumbai B) New Delhi
C) Kolkata D) Hyderabad
 
Answer & Explanation Answer: A) Mumbai

Explanation:

Mumbai has been ranked the world's second most densely populated city with 31,700 people per sq km, by the World Economic Forum (WEF) citing UN Habitat Data. Bangladesh's capital Dhaka topped the list with 44,500 people per sq km. Rajasthan's Kota has been ranked the world's seventh most densely populated city with 12,100 people per sq km.

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Filed Under: General Awareness

Q:

Which 'Water Body' separates Andaman and Nicobar Islands ?

A) Eleventh Degree Channel B) Andaman Sea
C) Bay of Bengal D) Ten Degree Channel
 
Answer & Explanation Answer: D) Ten Degree Channel

Explanation:
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Filed Under: Indian Geography
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Q:

If today is Saturday, what will be the day 350 days from now  ?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e  No odd days,

 So it will be a Saturday.

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Filed Under: Calendar
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Q:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal ___________ to make the document verification process easier.

A) e-bharat B) e-sanad
C) e-foriegn D) e-verify
 
Answer & Explanation Answer: B) e-sanad

Explanation:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal to make the document verification process easier for students who planning to study abroad. The Central Board of Secondary Education’s (CBSE) academic repository of degrees and certificates “Parinam Manjusha” was also involved in the project of creating “eSanad”.

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Filed Under: General Awareness
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Q:

Which company has overtaken Oil and Natural Gas Corp (ONGC) to become India’s most profitable state-owned company  ?

A) Indian Oil Corporation B) SAIL
C) Hindustan Petroleum D) GAIL
 
Answer & Explanation Answer: A) Indian Oil Corporation

Explanation:

Indian Oil Corp (IOC) has overtaken Oil and Natural Gas Corp (ONGC) to become India’s most profitable state-owned company. IOC, which has for decades been India’s biggest company by turnover, posted a 70 per cent jump in net profit to Rs 19,106.40 crore in the financial year ended March 31, 2017.

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Filed Under: Indian Economy
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Q:

Who is representing India at the 2017 Little Miss Universe competition  ?

A) Vinita Sayal B) Nandita Das
C) Rajeshwari Dyal D) Padmalaya Nanda
 
Answer & Explanation Answer: D) Padmalaya Nanda

Explanation:

Padmalaya Nanda from Odisha will represent India at the 2017 Little Miss Universe beauty pageant competition, which is scheduled to be held in Georgia, United States from May 31. She will compete against 15 other contestants from around the world for the title of Little Miss Universe. Beside this, she will also lead India in the 2017 Little Miss World contest in Greece.

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Filed Under: General Awareness