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Q:

45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?

A) 36 B) 61
C) 48 D) 54
 
Answer & Explanation Answer: A) 36

Explanation:

(45 x 9)/40 = (M x 7)/56 => M = 81

=> 81 – 45 = 36

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Filed Under: Time and Work
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Q:

Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ?

A) 1020 B) 1040
C) 1060 D) 1022
 
Answer & Explanation Answer: D) 1022

Explanation:

Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is 1022.

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Filed Under: Problems on Numbers
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Q:

If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ?

A) 1 : 2 B) 2 : 1
C) 3 : 1 D) 1 : 3
 
Answer & Explanation Answer: A) 1 : 2

Explanation:

6M + 3B = 4(1M + 1B)
6M + 3B = 4M + 4B
2M = 1B

M/B = 1/2

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Filed Under: Ratios and Proportions
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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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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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