1336 . At the same time that a 60-feet tall building casts a shadow that 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closet to the height of the tree?

A. 56.5 ft
B. 50.2 ft
C. 6.5 ft
D. 3.3 ft

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Answer: Option B

Explanation:

Two similar right angle triangles can be drawn from the given information.

Now, height of the tree/height of the building = shadow of the tree/ shadow of the building

Therefore, height of the tree = (18/21.5) x 60 = 50.2

1337 . At what rate of compound interest per annum will a sum of Tk. 1200 become Tk. 1348.32 in 2 years?

A. 6%
B. 6.5%
C. 7%
D. 7.5%

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Answer: Option A

Explanation:

1338 . At what rate of compound interest rate per annual will a sum of Tk. 1200 become Tk. 1348.32 in 2 years?

A. 6%
B. 6.5%
C. 7%
D. 7.5%

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Answer: Option A

Explanation:

1339 . At what rate of profit a principle becomes Tk. 460 with simple profit in 3 years and Tk. 600 with simple profit in 5 years?

A. 20%
B. 24%
C. 28%
D. 32%

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Answer: Option C

Explanation:

৫ বছরের সুদাসল = ৬০০ টাকা
৩ বছরের সুদাসল = ৪৬০ টাকা
২ বছরের সুদাসল = (৬০০ - ৪৬০) = ১৪০ টাকা
১ বছরের সুদাসল = ১৪০/২ = ৭০ টাকা
৩ বছরের সুদাসল = ৭০ × ৩ = ২১০ টাকা
আসল = ৪৬০ - ২১০ = ২৫০ টাকা
২৫০ টাকার সুদ = ৭০ টাকা
১ টাকার সুদ = ৭০/১৫০ = ৭/২৫ টাকা
১০০ টাকার সুদ = (৭ × ১০০)/২৫ = ২৮%

প্রধান প্রশাসনিক কর্মকর্তার কার্যালয় ( প্রতিরক্ষা মন্ত্রণালয়) সহকারী পরিচালক ০৫.০৪.২০১৯

A. 1:4
B. 4:1
C. 2:1
D. 1:2
E. None of these

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Answer: Option A

Explanation:

Sales : gross profit = 4 : 3

gross profit : net profit = 3 : 1

sales : gross : net = 4 : 3 : 1

net : sales = 1 : 4

1341 . Aunik, Kamal and Jamal invested TK. 8000, TK. 4000 and TK. 8000 respectively in a business . Aunik left after six months. If after eight months, there was a gain of TK. 4005, then what will be the share of Kamal?

A. TK. 890
B. TK. 1335
C. TK. 1602
D. TK. 1780

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Answer: Option A

Explanation:

Aunik's share=8000×6=48000 [as he left after 6 months]
Kamal's share=4000×8=32000
Jamal's share=8000×8=64000

Ratio = 48000 : 32000 : 64000
= 48 : 32 : 64
= 3 : 2 : 4

Total = 3+2+4 = 9
Total profit = 4005

∴ Kamal's profit = (2÷9) X 4005 = Tk. 890 (Ans:)

Bangladesh Bank - Assistant Director - 2016

A. Tk. 5400
B. Tk. 7200
C. Tk. 8400
D. Tk. 9600

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Answer: Option C

Explanation:

Anam's share = 35000 / ( 22500 + 35000) × 13800 = 8400tk.

1343 . Average age of three brothers is 16 years . Average age of these brothers along with their father is 25 years. What is the age of their father ?

A. 42
B. 52
C. 41
D. 45

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Answer: Option B

Explanation:

Total age of the three brothers = 3 x 16 = 48 years

Total age of the brothers along with their father = 4 x 25 = 100

So, age of the father = 100 - 48 = 52 years

1344 . Average mark in Math in a class of 40 students is 45. Average mark of all the 30 boys is 50. Then the average mark obtained by the girls is :

A. 30
B. 35
C. 25
D. 40

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Answer: Option A

Explanation:

No. of students = 40

No. of Boys = 30

No. of Girls = 10

Average of 40 stuents = 45

Total of students = 45 *40 = 1800

Aerage of 30 students = 50

Total of 30 = 30 * 50 = 1500

Total of 10 girls = 1800 - 1500 = 300

Average mark of 10 girls = 300/10 = 30

Bangladesh Bank - Assistant Director - 2010

A. 4
B. 6
C. 8
D. 10

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Answer: Option A

Explanation:

here,let, the consecutive even numbers are = n,n + 2,n + 4,n + 6,n + 8

here, (n + n + 2 + n + 4 + n + 6 + n + 8)/5 = 8

or,5n + 20 = 40

or,5n = 20

or,n = 4

so, the smallest of the numbers is 4

ans: 4

1346 . Average of P numbers is x and average of N numbers is y. Find the average of all of the numbers.

A. (Px + Ny)/(p + N)
B. (Px + Ny)/xy(P + N)
C. x + y
D. (x + y)/(P + N)

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Answer: Option A

Explanation:

1347 . Average of ten positive numbers is x. If each number increases by 10%, then x-

A. remains unchanged
B. may increase or decrease
C. will increase
D. is increased by 10%

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Answer: Option D

Explanation:

Let 10 numbers be x1, x2, x3, . . . . . . . x10
According to question average of these 10 numbers is 10
$$ \Rightarrow \frac{{ {x1 + x2 + x3 + .... + x10} }}{{10}} = x$$
Now if each number is increased by 10%,
then new average, say y.
$$y = \frac{{ {1.1x1 + 1.1x2 + 1.1x3 + .... + 1.1x10} }}{{10}}$$
$${\kern 1pt} \Rightarrow y = 1.1 \times {\frac{{ {x1 + x2 + x3 + .... + x10} }}{{10}}} $$
$$\eqalign{ & \Rightarrow y = 1.1x \cr & \Rightarrow y\,{\text{is }}10\% \,{\text{increased}} \cr} $$.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

A. 4
B. 3
C. 5
D. 6

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Answer: Option A

Explanation:

পাঁচটি constant even number ধরি, n, n + 2, n + 4, n + 6, n + 8

যোগফলকে 5 দিয়ে ভাগ করলে average পাওয়া যায় n + 4

তাহলে, n + 4 = 8 বা n = 4

1349 . Average of the five consecutive even numbers is 8. Which is the smallest of the 5 numbers?

A. 4
B. 3
C. 5
D. 6
E. None of them

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Answer: Option A

Explanation:

here,let, the consecutive even numbers are = n,n + 2,n + 4,n + 6,n + 8

here, (n + n + 2 + n + 4 + n + 6 + n + 8)/5 = 8

or,5n + 20 = 40

or,5n = 20

or,n = 4

so, the smallest of the numbers is 4

ans: 4

Sonali- Janata- Agrani &amp- Rupali Bank Ltd. Senior Officer Recruitment 14.03.2008

A. 126
B. 122
C. 118
D. 120

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Answer: Option A

Explanation:

1336 . At the same time that a 60-feet tall building casts a shadow that 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closet to the height of the tree?

1337 . At what rate of compound interest per annum will a sum of Tk. 1200 become Tk. 1348.32 in 2 years?

1338 . At what rate of compound interest rate per annual will a sum of Tk. 1200 become Tk. 1348.32 in 2 years?

1339 . At what rate of profit a principle becomes Tk. 460 with simple profit in 3 years and Tk. 600 with simple profit in 5 years?

1340 . At XYZ Company, the ratio sales to gross profit is 4:3 and the ratio of gross profit to net profit is 3:1, what is the ratio of net profits to sales?

1341 . Aunik, Kamal and Jamal invested TK. 8000, TK. 4000 and TK. 8000 respectively in a business . Aunik left after six months. If after eight months, there was a gain of TK. 4005, then what will be the share of Kamal?

1342 . Aunik and Anam started a business investing Tk. 22,500 and Tk. 35,000 respectively. Out of a total profit of Tk. 13,800, Anam's share is :

1343 . Average age of three brothers is 16 years . Average age of these brothers along with their father is 25 years. What is the age of their father ?

1344 . Average mark in Math in a class of 40 students is 45. Average mark of all the 30 boys is 50. Then the average mark obtained by the girls is :

1345 . Average of 5 consecutive even numbers is 8, Which is the smallest of the 5 number

1346 . Average of P numbers is x and average of N numbers is y. Find the average of all of the numbers.

1347 . Average of ten positive numbers is x. If each number increases by 10%, then x-

1348 . Average of the five consecutive even number is 8. Which is the smallest of the 5 numbers?

1349 . Average of the five consecutive even numbers is 8. Which is the smallest of the 5 numbers?

1350 . Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

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