HBFC Senior Officer Written Math Solution

We publish different educational post in our website. Exam question solution is one of the most important concern of our website. HBFC has taken exam on 01 categorizes post. It’s a lucrative job circular and it’s great chance to get job for employment people. This job is perfect to build up a good career. Those,who want to work,they should be taken out of this opportunity. HBFC is a renowned government organization in Bangladesh.

So choose your desired job circular and apply specific job to build up your career. When we get Admit card and Result link or news then we give download link of Admit and Result as you can easily download through our website. We also give you questions solution of the exam and all type of educational support through our website jobstestbd.com. So stay with our website jobstestbd.com.

HBFC Senior Officer Written Math Solution:

Exam held: 11/11/2017

Math the answer with below questions in image:

a) 8:3
b) all 3 are 3/8
c) 6(2/15) days
d) 500; 800
e) 100
f) 12

Download Written math solution in pdf: BHBFC Senior Officer Written Maths

Detail Solution :

a) A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of the water current respectively?

Solution:
Suppose, the speed of the boat in still water and the speed of the water current are x km/hr and
y km/hr.
According to the question:
(8 + 48/60)(x-y) = 4(x+y)
(44/5)(x-y) = 4(x+y)
11x-11y = 5x+5y
6x = 16y
x : y = 8 : 3

Answer: 8 : 3

b)
3 coins are tossed at random. Show the sample space and find the probability of getting:
– (i) one head two tails
– (ii) One tail
– (iii) One tail and two heads
Sample Space = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT)
– (i) Probability of getting one head and two tails:
In the sample space we can see, a total of 8 types of outcome is possible.
Among these 8 types of outcomes, the combinations with one head and two tails are : HTT, THT,
TTH, i.e: 3 outcomes.

So, the required probability is 3/8.
– (ii) Probability of getting one tail:
In the sample space we can see, a total of 8 types of outcome is possible.
Among these 8 types of outcomes, the combinations with one tail are : HHT, HTH, THH, i.e: 3
outcomes.
So, the required probability is 3/8.
– (iii) Probability of getting one tail and two heads:
In the sample space we can see, a total of 8 types of outcome is possible.
Among these 8 types of outcomes, the combinations with one tail and two heads are : HHT, HTH,
THH, i.e: 3 outcomes.
So, the required probability is 3/8.
Answer: Sample Space = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT), (i) 3/8, (ii) 3/8, (iii) 3/8.

c) A, B and C can complete a work in 12, 15 and 25 days respectively. A and B started working together whereas C worked with them in every third day. Find the number of days required to complete the work.

Solution:
A and B together can complete in 1 day = 1/12 + 1/15 = 9/60 = 3/20 of the work.
A and B with the help of C can complete in 1 day = 3/20 + 1/25 = 19/100 of the work.
So, their 3 days’ work = 2×3/20 + 19/100 = (30+19)/100 = 49/100 of the work.
So, their 3×2 = 6 days’ work = 49×2/100 = 49/50 of the work.
Remaining work = 1 – 49/50 = 1/50 of the work.
on the 7th day, A and B will take (1/50)/(3/20) or 20/150 or 2/15 days.
Therefore, the required number of days = 6 2 15 days.
Answer: 6 2 15 days.

d)
The price of a shirt and a pant together is Tk. 1300. If the price of the shirt increases by 5% and that of the pant by 10%, it costs Tk. 1405 to buy those two things. Find the respective price of
a shirt and a pant.

Solution:
Suppose, the prices of a shirt and a pant are Tk. x and Tk. y respectively.
According to the question:
x+y = 1300 ———— (i)
1.05x + 1.1y = 1405 ———- (ii)
Subtracting (ii) from 1.1 times the value of (i) we get,
0.05x = 25
x = 500
Substituting the value of x in equation (i) we get,
500+y = 1300
y = 800.
Answer: Shirt = Tk. 500, Pant = Tk. 800.

e) Twice the width of a rectangle is 10 meters more than its length. If the area of the region
enclosed by the rectangle is 600 square meters, then find its perimeter.

Solution:

Suppose, the width of the rectangle is = x meters.
So, the length of the rectangle is = 2x-10 meters.
According to the question,
x(2x-10) = 600
x² – 5x – 300 = 0
x² – 20x + 15x – 300 = 0
(x-20)(x+15) = 0
x = 20 or -15
As the width of a rectangle cannot be negative, x = -15 is not acceptable.
So, width = x = 20 meters
and length = 2x-10 = 2×20 – 10 = 30 meters
Perimeter = 2(30+20) = 100 meters.
Answer: 100 meters.

f)
A customer bought 5 pencils and 6 erasers at Tk. 80. Next week, the price of each pencil increases by 20%, but the price of erasers remains unchanged. Now, the customer buys 2 pencils and 3 erasers at Tk 39. Find the new price of each pencil.

Solution:
Suppose, the original prices of a pencil and an eraser are Tk. x and Tk. y respectively.
According to the question,
5x+6y = 80 ———– (i)
&
2×1.2x + 3y = 39
or, 2.4x+3y = 39 ——— (ii)
Subtracting the double of (ii) from (i) we get,
0.2x = 2
x = 10.
So, the new price of a pencil is = 1.2×10 = 12.

Answer :12

Solved by: Sultan Mahmud Cxilvii

Image of Question:

Please give correction if need any….

House Building House Corporation Senior officer-2017

House Building House Corporation is one of the Largest institution in Bangladesh. We are Published all Jobs Circular Every day, Such as Government Jobs in Bangladesh, Bank Jobs in Bangladesh, Privet Jobs in Bangladesh, International NGO in Bangladesh, Privet Company in Bangladesh, Privet University Jobs in Bangladesh. Bank Jobs Results, Government Jobs Results, Government University Jobs result in Bangladesh and all Part time Jobs in Bangladesh and other educational support are available here in our website. All type of suggestions, question solutions of different competitive exam are available here. We provide all type of educational support in our website jobstestbd.com So everyday tune with our website for all kinds of educational support. Please like our facebook page jobstestbd.com.

Contact Us

jobstestbd.com offers banner official advertising wants to build up your business/organizations through us, do not feel hesitate to contact us for your virtual advertisement with us.
You Contact us through [email protected]and if you have any question or suggestion about any exam circular or result or any other information and any advertisement then you can Contact Us without any hesitation.
Inform to: jobstestbd.com
Mirpur 1, Dhaka, Bangladesh
Email: [email protected]
Contact: 01720403750

Stay with our website jobstestbd.com for all type of educational support.

Courtesy: To all authorities from where documents are collected

For more update stay with our website jobstestbd.com