2191 . If the product of two numbers is 560 and greatest common factor is 4. Then what is the least common multiple?

A. 70
B. 140
C. 120
D. 45

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Answer: Option B

Explanation:

আমরা জানি,
গ.সা.গু x ল.সা.গু = সংখ্যাদ্বয়ের গুণফল
⇒ 4 × ল.সা.গু = 560
⇒ ল.সা.গু = 140

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সোনালী ও ডিবিবিএল ব্যাংক- সিনিয়র অফিসার (আইটি) - 16.10.2020 ||

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2192 . If the radious of a circle is increased by 6%, then the area of the circle is increased by--

A. 3.6%
B. 6%
C. 12.36%
D. 36%

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Answer: Option C

Explanation:

Let's call the original radius of the circle "r".

When the radius is increased by 6%, the new radius becomes r + (r * 0.06) = 1.06r.

The area of a circle is given by the formula:

A = π * r^2

So, the original area of the circle would be:

A = π * r^2

And the new area of the circle would be:

A' = π * (1.06r)^2

To find the increase in area, we can subtract the original area from the new area:

A' - A = π * (1.06r)^2 - π * r^2
A' - A = π * (1.06^2) * r^2 - π * r^2
A' - A = π * (1.1236) * r^2 - π * r^2

We can simplify the expression to get:

A' - A = π * (1.1236 - 1) * r^2
A' - A = π * 0.1236 * r^2

So, the increase in area is proportional to the square of the increase in radius. To find the percentage increase in area, we would need to know the original radius and calculate the increase as a fraction of the original area. But in general, increasing the radius by 6% leads to an increase in area of approximately 12.36% (calculated as 0.1236 * 100).

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2193 . if the radious of cylinder is halved and height is doubled, then what will be the curved surface area

A. increase by one
B. the same
C. double
D. triple

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Answer: Option B

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 21%
B. 10%
C. 18%
D. 20%

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Answer: Option A

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

2195 . If the radius of a circle is 6 cm and a circular segment subtens an angle

A. $2 πcm$
B. $6 πcm$
C. $πcm$
D. $3 πcm$

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Answer: Option C

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অফিসার (জেনারেল) - 12.11.2021

A. 20%
B. 30%
C. 36%
D. 40%

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Answer: Option C

Explanation:

When the radius of a circle is decreased by 20%, the new radius becomes 80% (100% - 20%) of the original radius.

Let's denote the original radius as "R" and the new radius as "0.8R" (80% of R).

Now, let's calculate the areas of the original circle and the new circle:

The area of the original circle with radius R is πR^2.
The area of the new circle with radius 0.8R is π(0.8R)^2.

To find the percentage decrease in the area, we can compare the areas of the new and original circles:

(π(0.8R)^2 - πR^2) / (πR^2) * 100%

Simplify:

[(0.8R)^2 - R^2] / R^2 * 100%

Now, calculate:

[(0.64R^2 - R^2) / R^2] * 100%

Simplify further:

[(-0.36R^2) / R^2] * 100%

The R^2 terms cancel out:

-0.36 * 100%

So, the area is decreased by 36%. Therefore, the correct answer is 36%.

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সোনালী ও জনতা ব্যাংক - অফিসার(আইটি) - 02.10.2021

A. 1.01%
B. 1.1%
C. 2.1%
D. 2.01%
E. None of these

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Answer: Option D

Explanation:

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2198 . If the radius of a circle is increased by 100%, by what % is the area of the circle increased?

A. 100%
B. 200%
C. 300%
D. 400%

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Answer: Option C

Explanation:

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 44%
B. 400%
C. 40%
D. 120%

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Answer: Option A

Explanation:

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যুব ও ক্রীড়া মন্ত্রণালয়ের যুব উন্নয়ন অধিদপ্তর | ক্যাশিয়ার | ০৪.০৫.২০১৮

A. .36%
B. 3.6%
C. 6%
D. 12.36%
E. 36%

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Answer: Option D

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2201 . If the radius of a circle is reduced by 40%, its circumference is reduced by-

A. 60%
B. 40%
C. 35%
D. 30%

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Answer: Option B

Explanation:

If the radius of a circle will be reduced by 40% its circumference will also be reduced by 40% because circumference of circle is directly dependent on radius of the circle as the formula to find the circumference is Circumference= 2πr or πd
d is diameter which is 2r

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. multiplied by 3
B. multiplied by 6
C. multiplied by 9
D. multiplied by 12

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Answer: Option A

Explanation:

When the radius of a circle is tripled, the circumference is multiplied by 3.

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference and "r" is the radius. If you triple the radius, the new radius becomes 3r.

So, the new circumference will be:

New Circumference = 2π(3r) = 6πr

This is three times the original circumference (2πr), which means it's multiplied by 3.

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সহকারী পরিচালক(AD) -12.11.2021

A. Tk 4630.00
B. Tk 4630.50
C. Tk 4631.50
D. Tk. 4632.00

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Answer: Option B

Explanation:

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

A. 3%
B. 12%
C. 10%
D. 8%

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Answer: Option B

Explanation:

The ratio of the principal amount (P) to the yearly amount (A) is given as 25:28. This means:

P/A = 25/28

To find the yearly rate of interest (R), we can use the formula for simple interest:

Simple Interest (SI) = (P * R * T) / 100

Where: SI = Simple Interest P = Principal amount R = Rate of interest (yearly rate) T = Time (in years)

We are given that the ratio of P to A is 25:28, which means:

P/A = 25/28

So, we can express P in terms of A as:

P = (25/28) * A

Now, let's calculate the simple interest using the given principal and yearly amount:

SI = A - P

Substitute the values of P and A:

SI = A - [(25/28) * A]

To find the rate of interest (R), we need to find the percentage of SI with respect to the principal amount (P):

R = (SI / P) * 100

R = { [A - (25/28) * A] / [(25/28) * A] } * 100

Simplify the expression:

R = { [28A - 25A] / (25A) } * 100

R = (3A / 25A) * 100

R = (3/25) * 100

R = 12%

So, the yearly rate of interest is 12%.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 12 years
B. 8 years
C. 10 years
D. 16 years

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Answer: Option B

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জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

2191 . If the product of two numbers is 560 and greatest common factor is 4. Then what is the least common multiple?

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2192 . If the radious of a circle is increased by 6%, then the area of the circle is increased by--

2193 . if the radious of cylinder is halved and height is doubled, then what will be the curved surface area

2194 . IF the radiud of a sphere is increaded by 10%, how much will the surface area be increaded in ercentage?

2196 . If the radius of a circle is decreased by 20% then the area is decreased by:

2197 . If the radius of a circle is increased by 1% then the area of that circle increases by what percent?

2198 . If the radius of a circle is increased by 100%, by what % is the area of the circle increased?

2199 . If the radius of a circle is increased by 20% then the area is increased by :

2200 . If the radius of a circle is increased by 6%, then the area of the circle is increased by ---

2201 . If the radius of a circle is reduced by 40%, its circumference is reduced by-

2202 . If the radius of a circle is tripled, the circumference is

2203 . If the rate if interest is 10 % per annum and is comunded half yearly , the principal of Tk.l 4000 in years will amount to-

2204 . If the ratio of principal and yearly amount be in the ratio 25: 28, then the yearly rate of interest is

2205 . If the ratio of simple interest and principal is 8 : 25 and rate of interest is equal to the time invested then find the time of investment ?

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