3436 . The value of cos $60 °$ is:

A. $1$
B. $\frac{1}{2}$
C. $\frac{\sqrt{3}}{2}$
D. $0$

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Answer: Option B

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সমন্বিত ৮ ব্যাংক ও ১ আর্থিক প্রতিষ্ঠান — অফিসার (জেনারেল) (04-07-2025) | 2025

A. 1
B. 2
C. -3
D. 3

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Answer: Option C

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

3438 . The value of $\lim_{x \to 0} \frac{\sin x}{x}$

A. $0$
B. $1$
C. Undefined
D. Infinity

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Answer: Option B

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সমন্বিত ৮ ব্যাংক ও ১ আর্থিক প্রতিষ্ঠান — অফিসার (জেনারেল) (04-07-2025) | 2025

A. 1000
B. 750.87
C. 947.10
D. 800

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Answer: Option A

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3440 . The value of p, for which the equation $x^{2} (p - 3) x + p = 0$ has real and equal roots is

A. $9$
B. $4$
C. $3$
D. $0$

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Answer: Option A

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

A. 5
B. 3
C. 2
D. 6

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Answer: Option A

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3442 . The volume of a rectangle with length. breadth, and height as $5 x, 3 x^{2}$ and $7 x^{4}$

A. $105 x^{7}$
B. $105 x^{2}$
C. $105 x^{4}$
D. $105 x$

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Answer: Option A

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. 50%
B. 40%
C. 30%
D. 20%

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Answer: Option A

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 1/4
B. 2
C. 3
D. 1/12

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Answer: Option C

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3445 . The width of a rectangle is 20 cm. the diagonal is 8 cm more than the length. Find the length of the rectangle.

A. 20
B. 23
C. 22
D. 21

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Answer: Option D

Explanation:

Let's denote the length of the rectangle as "L."

According to the given information, the width of the rectangle is 20 cm, and the diagonal is 8 cm more than the length, which can be expressed as:

Diagonal = L + 8

Now, we can use the Pythagorean Theorem to relate the length, width, and diagonal of the rectangle:

Diagonal^2 = Length^2 + Width^2

Plugging in the values we have:

(L + 8)^2 = L^2 + 20^2

Expanding and simplifying:

L^2 + 16L + 64 = L^2 + 400

Now, let's solve for L:

16L + 64 = 400

Subtract 64 from both sides:

16L = 400 - 64 16L = 336

Now, divide by 16:

L = 336 / 16 L = 21

So, the length of the rectangle is 21 cm.

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সহকারী পরিচালক(AD) -12.11.2021

A. 480 square yards
B. 5,000 square yards
C. 2,400 square yards
D. 4,800 square yards

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Answer: Option D

Explanation:

Length=120 yards

So, width=120×⅓=40 yards

So, area=120×40=4800 sq. yards

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3447 . The width of a rectangular fields is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yeards?

A. 480
B. 5000
C. 2400
D. 4800

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Answer: Option D

Explanation:

length of the field 120 yards.

Width = 120/3 = 40 yards.

We know that,

Area of the rectangle = Length × Width

Area of the Field = 120 × 40

= 4800 yard²

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3448 . There are 10 true-false questions in an examination. these questions can be answered in-

A. 20 ways
B. 100 ways
C. 150 ways
D. 1024 ways

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Answer: Option D

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 45
B. 60
C. 75
D. none of these

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Answer: Option C

Explanation:

Number of technicians = {5 / (3 + 5)} x 120 = 75

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3450 . There are 120 engineers and technocians working in a project in a project. If the ratio of enginerrs to technicians is 3 to 5, how many technicians are working in the project?

A. 45
B. 60
C. 75
D. 90

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Answer: Option C

Explanation:

ধরি, ইঞ্জিনিয়ার সংখ্যা = 3x
টেকনেশিয়ান সংখ্যা = 5x
3x + 5x = 120
8x = 120
x = 120/8
x = 15
টেকনেশিয়ান সংখ্যা = (15x5) জন = 75 জন।

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3437 . the value of k,if(x-1) is a factor of 4X6^3+3X^2-4X+k, is-

3439 . The value of machine depreciates every four year at the rate of 10% on its value at the begining of that year if the present value of the machine is Tk.729 its worth 3 years ago was.

3441 . The velocity of a boat rowed downstream is three times that of the same boat rowed upstream. If the speed of the stream is 2.5 miles per hour what is the speed of rowing in miles/hr?

3443 . The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

3444 . The water in a fish tank measuring 5/4 feet by 8 inches is 7 inches high. The water is poured into another tank measurinig 14 inches by 20 inches. What will be the height of water, in inches in the secont tank?

3445 . The width of a rectangle is 20 cm. the diagonal is 8 cm more than the length. Find the length of the rectangle.

3446 . The width of a rectangular field is 1/3 times its length. What is the area of the field if the length of the field is 120 yards?

3447 . The width of a rectangular fields is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yeards?

3448 . There are 10 true-false questions in an examination. these questions can be answered in-

3449 . There are 120 engineers and technicians working in a project. If the ratio of engineers to technicians in 3 to 5, how many technicians are working in the project?

3450 . There are 120 engineers and technocians working in a project in a project. If the ratio of enginerrs to technicians is 3 to 5, how many technicians are working in the project?

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