2986 . The second and third term of a geometric series are 9 and 3 respectivelt ,. The 6 th term of the series is-

B. 1/3
C. 1
D. 1/9

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Answer: Option D

Explanation:

To find the 6th term of the geometric series, we can first find the common ratio (r) of the series. The common ratio can be found by dividing the third term by the second term:

r = 3rd term / 2nd term = 3 / 9 = 1/3

Now that we have the common ratio, we can use it to find the 6th term (T6) using the formula for the nth term of a geometric series:

Tn = a * r^(n-1)

Where: Tn = nth term a = first term r = common ratio

In this case, the first term (a) is not given, but we can find it using the second term and the common ratio:

a = 2nd term / r = 9 / (1/3) = 9 * 3 = 27

Now that we have the first term, we can find the 6th term:

T6 = 27 * (1/3)^(6-1) = 27 * (1/3)^5 = 27 * (1/243) = 1/9

So, the 6th term of the geometric series is 1/9.

সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 50°
B. 60°
C. 70°
D. 80°

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Answer: Option B

Explanation:

The sum of angles of a triangle = 180∘.

Given: One angle is 90∘(since it is a right angled triangle ) and another angle is 30∘

Hence, 90∘+30∘+Third angle=180∘

⇒120∘+Third angle=180∘

∴Third angle=180∘−120∘=60

বিসিআইসি | সহকারী প্রকৌশলী (কমার্শিয়াল) | 10-12-2021

A. 15%
B. 20%
C. 25%
D. 33.33%

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Answer: Option D

Explanation:

20 - 15 = 5 item
So,the percentage profit earned is 5/15x100 = 33.3%

2989 . The selling price of 4 pencils is equal to the purchase price of 5 pencils. What is the profit margin?

A. 30%
B. 25%
C. 20%
D. 15%

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Answer: Option B

Explanation:

Let's say the purchase price of 5 pencil is 1 taka.

Then purchase price of 1 pencil is 1/5 taka and selling price of 1 pencil is 1/4 taka.

Profit margin = {(1/4 - 1/5)/ (1/5)} x 100% = 25%.

2990 . The selling price of 8 shirts is equal to the purchase price of 10 shirts . What is the profit margin ?

A. 15%
B. 20%
C. 25%
D. Not possible to find out

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Answer: Option C

Explanation:

CP of 10 shirts = SP of 8 shirts Let the CP of 1 shirt be Tk. x CP of 10 shirts = 10x SP of 8 shirts = 10x SP of 1 shirt = 10x/8 Profit = SP - CP = (10x/8) - x = 2x/8 The profit margin = (Profit/ CP) *100 = {(2x/8)/x}*100 = 25%

Bangladesh Bank - Assistant Director - 2001

A. 13
B. 17
C. 30
D. 35

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Answer: Option C

Explanation:

সমন্বিত ৬ ব্যাংক ও আর্থিক প্রতিষ্ঠান - সহকারী প্রোগ্রামার - 18.03.2021

A. TK. 700
B. TK. 800
C. TK. 900
D. None of these

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Answer: Option B

Explanation:

Hints : The simple interest on a certain sum of money for 2.5 year's at 12% per annum is TK.40 less than the simple interest on the same sum for 3.5 years at 10% per annum

The simple interest on a certain sum of money for 2.5 years at 12% per aannum = pnr = 12 × 2.5 × x the simple interest on the same sum for 3.5 years at 10% per annum = pnr = 1 × 3.5 × x

So, 12 × 2.5 × x + 40 = 1 × 3.5 × x

0.3x + 40 = 0.35 x

o.35 x - 0.3x = 40

o.o5x = 40

x = 800

2993 . The simple interest on a sum of money at 8% per annum for 6 years is half the sum. the sum is-

A. Tk. 4800
B. Tk. 6000
C. Tk. 8000
D. Data is inadequate

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Answer: Option D

Explanation:

Let sum is x

So, simple interest will be x × 0.08 × 6

= 0.48x = 0.5x(same is given)

So, from the given data, we can't find the value of sum.

We need some more information.

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

A. Tk. 600
B. Tk. 1200
C. Tk. 900
D. Tk. 1500

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Answer: Option B

Explanation:

ধরি, মূলধন = x টাকা

x টাকায় 10 বছরের সুদ = 600টাকা

x টাকায় 1 বছরের সুদ = 600/10 টাকা

x টাকায় 5 বছরের সুদ = 600×5/10 = 300 টাকা

যেহেতু, 5 বছরের পর মূলধন 3 গুন হয়। সুতরাং নতুন মূলধন = 3x

এখন, x টাকার 5 বছরের মুনাফা = 300 টাকা

1 টাকায় 5 বছরের মুনাফা = 300/x টাকা

3x টাকায় 5 বছরের মুনাফা = 300 × 3x /x টাকা = 900 টাকা

মোট মুনাফা = 900 + 300 = 1200 টাকা

Bangladesh Bank - Assistant Director - 2014

A. Tk. 1200
B. Tk. 1500
C. Tk. 1800
D. Tk. 2400
E. None of these

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Answer: Option A

Explanation:

যেহেতু simple interest তাই আমরা চিন্তা করেই answer পেতে পারি। 
প্রথম পাঁচ বছরে Interest হবে ঠিক দশ বছরের 12=600×12=300.12=600×12=300. 
এরপর পাঁচ বছরে principal এর trebled মানে পরবর্তী পাঁচ বছরে interest 3 গুন অর্থাৎ (300  ×  3) বা 900 টাকা পাবে (Total  =  300  +  900  =  1200 টাকা।

2996 . The simple interest on a sum of money will be Tk.600 after 10 years. If the principal is trebled after 5 years will be the total interest at the end of the lenth year?

A. 1200
B. 600
C. 900
D. cannot be calculated

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Answer: Option A

Explanation:

2997 . The simple interest received on a sum of money at the end of 10 years is two times of the principle. At the same rate of interest, what would be the ratio of principal and compound interest received at the end of two years?

A. 25 :11
B. 20 :11
C. 20 : 9
D. None of these

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Answer: Option A

Explanation:

ATQ, Pxrx10 = 2P Or, r = 1/5 Compound Interest = P{(1 + r)^n - 1} = P{(1 + 1/5)^2 - 1} = 0.44P The ratio of principal and compound interest = P/0.44P = 100/44 = 25:11

Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 5
B. -5
C. 1/5
D. -1/5

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Answer: Option B

Explanation:

We know, y=mx+c

Given, y=-5x+9

So, m=-5

(ans)

Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 103
B. 109
C. 107
D. None of these

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Answer: Option D

Explanation:

101 is a prime number. Therefore, 101 is the smallest 3-digit prime number in the number system.

3000 . The smallest 5-digit number exactly divisible by 41 is :

A. 10004
B. 10025
C. 10041
D. 10045

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Answer: Option A

Explanation:

Hints: The smallest 5 digit number = 10000

এটা কে 41 দ্বারা ভাগ করলে ভাগশেষ থাকে 37

এখন, Required number = 10000 + (41 - 37) = 10004

2986 . The second and third term of a geometric series are 9 and 3 respectivelt ,. The 6 th term of the series is-

2987 . The second angle of a right triangle is 30°. Then what is the third angle?

2988 . The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the saller?

2989 . The selling price of 4 pencils is equal to the purchase price of 5 pencils. What is the profit margin?

2990 . The selling price of 8 shirts is equal to the purchase price of 10 shirts . What is the profit margin ?

2991 . The selling price of an article is Tk. 39. If its cost price is numerically equal to its profit precent, then its cost price is-

2992 . The simple interest on a certain sum of money for 2 1/2 years at 12% per annum is TK. 40 less than the simple interest on the same interest on the same sum for 3 1/2 years at 10% per annum. Find the sum.

2993 . The simple interest on a sum of money at 8% per annum for 6 years is half the sum. the sum is-

2994 . The simple interest on a sum of money will be Tk. 600 after 10 years . If the principal is trebled after 5 years , what will be the total interest at the end of the tenth year?

2995 . The simple interest on a sum of money will be Tk. 600 after 10 years. If the principal is trebled after 5 year, what will be the total interest at the end of the tenth year?

2996 . The simple interest on a sum of money will be Tk.600 after 10 years. If the principal is trebled after 5 years will be the total interest at the end of the lenth year?

2997 . The simple interest received on a sum of money at the end of 10 years is two times of the principle. At the same rate of interest, what would be the ratio of principal and compound interest received at the end of two years?

2998 . the slope of the line perpendicular to line y=-5x+9 is -

2999 . The smallest 3-digit prime number is:

3000 . The smallest 5-digit number exactly divisible by 41 is :

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