Question 1
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Answer
Explanation
Question
1. A certain number of men take 45 days to complete work. If there are 10 men less
then they will take 60 days to complete the work. Find the original number of men.
A. 50
B. 60
C. 30
D. 40
Answer
D. 40
Explanation
Let us assume initially there are X men. Then x*45 = (x-10)*60. So we get x = 40
Question 2
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Answer
Explanation
Question
2. 5 men and 10 boys can do a piece of work in 30 days and 8 men and 12 boys can do
the work in 20 days then the ratio of daily work done by a man to that of a boy.
A. 5:1
B. 4:5
C. 6:1
D. 7:3
Answer
C. 6:1
Explanation
Given that, 5m + 10b = 1/30 and 8m + 12b = 1/20
after solving we get m = 1/200 and b = 1/1200
so required ratio = (1/200) : (1/1200) = 6:1
Question 3
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Answer
Explanation
Question
3. 4 women and 5 men working together can do 3 times the work done by 2 women
and one man together. Calculate the work of a man to that of a woman.
A. 1:1
B. 3:2
C. 1:2
D. 2:1
Answer
A. 1:1
Explanation
Given
4w + 5m = 3*(2w + m)
i.e. 2w = 2m
so the ratio of work done by man to woman is 1:1
Question 4
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Answer
Explanation
Question
4. Manoj can do a work in 20 days, while Chandu can do the same work in 25 days.
They started the work jointly. A few days later Suresh also joined them and thus all of
them completed the whole work in 10 days. All of them were paid total Rs.1000. What
is the share of Suresh?
A. 100
B. 300
C. 200
D. 400
Answer
A. 100
Explanation
Efficiency of Manoj = 5%
The efficiency of Chandu = 4%
They will complete only 90% of the work = [(5+4)*10] =90
Remaining work was done by Suresh = 10%.
Share of Suresh = 10/100 * 1000 = 100
Question 5
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Answer
Explanation
Question
5. Nagarjuna lends Rs 30,000 of two of his friends. He gives Rs 15,000 to the first at
6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple
interest rate at which he should lend the remaining sum of money to the second friend
is
A. 8%
B. 12%
C. 14%
D. 16%
Answer
C. 14%
Explanation
Simple Interest on Rs 15000
=(15000×6×1)/100 = Rs. 900
Profit to made on Rs 30000
= 30000×10/100=Rs 3000
Simple Interest on Rs.15000 = 3000-900 = Rs.2100
Rate=(S.I.* 100)/(P * T)=(2100×100)/15000
=14% per annum
Therefore, the simple interest rate at which he should lend the remaining sum of money to
the second friend is 14%
Question 6
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Answer
Explanation
Question
6. A portion of $6600 is invested at a 5% annual return, while the remainder is invested
at a 3% annual return. If the annual income from the portion earning a 5% return is
twice that of the other portion, what is the total income from the two investments after
one year?
A. 270
B. 250
C. 280
D. 200
Answer
A. 270
Explanation
According to the given data
5x + 3y = z (total)
x + y = 6600
5x= 2(3y) [ condition given] 5x – 6y = 0
x + y = 6600
5x -6y = 0
Subtract both equations and you get x = 3600 so y = 3000
3600*.05 = 180
3000*.03 = 90
z (total) = 270
Therefore, the total income from the two investments after one year = 270
Question 7
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Answer
Explanation
Question
7. While calculating the weight of a group of men, the weight of 63 kg of one of the
member was mistakenly written as 83 kg. Due to this the average of the weights
increased by half kg. What is the number of men in the group?
A. 25
B. 20
C. 40
D. 60
Answer
C. 40
Explanation
Increase in marks lead to an increase in average by 1/2
So (83-63) = x/2
x = 40
Therefore, the number of men in the group are 40
Question 8
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Answer
Explanation
Question
8. In a group of 8 boys, 2 men aged at 21 and 23 were replaced, two new boys. Due to
this the average cost of the group increased by 2 years. What is the average age of
the 2 new boys?
A. 17
B. 30
C. 28
D. 23
Answer
B. 30
Explanation
According to the given data
Average of 8 boys increased by 2, this means the total age of boys increased by 8*2 = 16
yrs
So sum of ages of two new boys = 21+23+16 = 60
Average of these = 60/2 = 30
Question 9
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Answer
Explanation
Question
9. A Boat takes total 16 hours for traveling downstream from point A to point B and
coming back point C which is somewhere between A and B. If the speed of the Boat in
Still water is 9 Km/hr and the rate of stream is 6 Km/hr, then what is the distance
between A and C?
A. 60 Km
B. 90 Km
C. 30 Km
D. Cannot be determined
Answer
D. Cannot be determined
Explanation
16 = D/9+6 + x/9-6
Question 10
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Answer
Explanation
Question
10. A Boat going upstream takes 8 hours 24 minutes to cover a certain distance, while
it takes 5 hours to cover 5/7 of the same distance running downstream. Then what is
the ratio of the speed of boat to speed of water current?
A. 11:5
B. 11:6
C. 11:1
D. 6:5
Answer
C. 11:1
Explanation