2776 . The angle measure of the base angles of an isosceles triangle are represented by x and the vertex angle is 3x + 10. Find the measure of base angle.

A. 112°
B. 42.5°
C. 34°
D. 16°

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Answer: Option C

Explanation:

Here,

X+X+3X+10= 180 ( Isosceles Means= সমদ্বি)

or, 5X= 170

or, X= 170/5= 34

সহকারী পরিচালক(AD) -12.11.2021

A. 2.3 m
B. 9.2 m
C. 4.6 m
D. 7.8 m

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Answer: Option B

Explanation:

Let AB be the wall and BC be the ladder.
Height and Distance mcq solution image
Then, ∠ACB = 60° = AC = 4.6m
ACBC = cos60∘ = 12
⇒ BC = 2 × AC = 2 × 4.6 = 9.2m

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. Tk 8800
B. Tk6800
C. Tk 4800
D. Tk 4400
E. None of these

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Answer: Option E

Explanation:

Let, length = 68 m

and width = 10m

So, area = 10×68 = 680

Cost of fencing = ( 10×2×50) + ( 68×2×50) = Tk.7800 ( correct answer)

2779 . The area of a rectangle is 200 sq. meter . If the length is twice the breadth , what is the perimeter of the rectangle ?

A. 40
B. 50
C. 60
D. None of these

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Answer: Option C

Explanation:

Let L be the length and B be the breadth.

So, L x B = 200

or, 2B x B = 200

or, B2 = 100

or, B = 10

So, L = 2B = 2 x 10 = 20

Therefore, the perimeter of the rectangle = 2 (L + B) = 2 (20 + 10) = 2 x 30 = 60.

Bangladesh Bank - Assistant Director - 2001

A. 60
B. 30
C. 40
D. 50

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Answer: Option A

Explanation:

Let L be the length and B be the breadth.

So, L x B = 200

or, 2B x B = 200

or, B2 = 100

or, B = 10

So, L = 2B = 2 x 10 = 20

Therefore, the perimeter of the rectangle = 2 (L + B) = 2 (20 + 10) = 2 x 30 = 60.

2781 . The area of a rectangle is 460 square meters. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

A. 15 meters
B. 26 meters
C. 34.5 meters
D. None of these

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Answer: Option D

Explanation:

2782 . The area of a rectangle R with width 4 feet is equal to the area of a square S, which has a perimeter of 24 feet. The perimeter of the rectangle R, in feet, is :

A. 9
B. 16
C. 24
D. 26
E. None of these

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Answer: Option D

Explanation:

2783 . The area of a rectangle R with width 4 feet is equal to the area of a square S, which has a perimeter of 24 feet. The perimeter of the rectangle R is-

A. 9 ft
B. 16 ft
C. 24 ft
D. 26 ft

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Answer: Option D

Explanation:

we know, perimeter of square = 4a atq, 4a = 24 or, a = 6 so, area of square = 6*6 = 36 according to the question, area of rectangle = 36 or, L*W = 36 or, l = 36/4 or, l = 9 perimeter of rectangle = 2*(9 + 4) = 26 ft (ans).

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

A. 1.6 m
B. 160 m
C. 160 cm
D. 1.6 cm

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Answer: Option B

Explanation:

The scale of the map is 1 cm to 100 m. This means that 1 cm on the map represents 100 meters in reality.

Given that the length on the map is 3.25 cm, you can find the actual length by multiplying it by the scale factor:

Actual length = Length on map × Scale factor = 3.25 cm × 100 m/cm = 325 m

Now, you mentioned that the area of the rectangular field is 52000 square meters. The area of a rectangle is given by the formula:

Area=Length×Breadth

We know the area is 52000 square meters and the length is 325 meters. Substituting these values into the formula, we can find the breadth:

52000m2=325m×Breadth

Breadth=325m52000m2

Breadth=160m

বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

A. 9
B. 16
C. 24
D. 26

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Answer: Option D

Explanation:

Side of the square = 24/4 = 6.

Area of the square = 62 = 36

ATQ, Area of rectangle, Length x width = 36

or, Length x 4 = 36

or, Length = 9

So, the perimeter of the rectangle = 2(Length + width) = 2(9 + 4) = 26

2786 . The area of a rhombus is 96 sq. cm and the length of one of the diagonals is 16 cm. The length of the other diagonal is

A. 18
B. 12
C. 9
D. 6

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Answer: Option B

Explanation:

The length of the other diagonal is x. 
We know, Area  =  1/2 * One diagonal * other diogonal
So, 1/2 *16*x  =  96
x  =  16.

Assistant Director (General) 06.07.18

A. 3
B. 6
C. 9
D. 1/3

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Answer: Option C

Explanation:

2788 . The area of a squeare is three-fifths the area of a rectangle. the length of the rectangle is 25 cm and its breadth is 10 cm less than its length. What is the perimeter of the square?

A. 60cm
B. 44cm
C. 80cm
D. cannot be determined

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Answer: Option A

Explanation:

Length of rectangle = 25 cm
Breadth of rectangle = 15 cm
Area of rectangle :

=(25×15)cm2=375cm
Area of square :

=(35×375)cm2=225cm2
Side of square :

=225−−−√cm=15cm
Perimeter of square :

=(4×15)cm=60cm

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

A. 200
B. 15000
C. 10000
D. 20000

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Answer: Option D

Explanation:

1 meter = 100 centimeters1 m2 = 10000 cm2600 m2 = 6000000 cm2Tiles requirement = 600000010×30 = 20,000 PCS.

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (সাধারণ) (20-01-2023)

A. 1 : 6
B. 1 : 8
C. 1 : 4
D. 1 : 2

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Answer: Option B

Explanation:

SBAC Bank PLC || Trainee Junior Officer (28-09-2024) || 2024

2776 . The angle measure of the base angles of an isosceles triangle are represented by x and the vertex angle is 3x + 10. Find the measure of base angle.

2777 . The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is

2778 . The area of a field is 680 square feet . If the cost of fencing is Tk 50 per foot , then how much will it cost to fence the field?

2779 . The area of a rectangle is 200 sq. meter . If the length is twice the breadth , what is the perimeter of the rectangle ?

2780 . The area of a rectangle is 200 sq. meter. If the length is twice the breadth, what is the perimeter of the rectangle?

2781 . The area of a rectangle is 460 square meters. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

2782 . The area of a rectangle R with width 4 feet is equal to the area of a square S, which has a perimeter of 24 feet. The perimeter of the rectangle R, in feet, is :

2783 . The area of a rectangle R with width 4 feet is equal to the area of a square S, which has a perimeter of 24 feet. The perimeter of the rectangle R is-

2784 . The area of a rectangular field is 52000 sq. meters. This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field in the map is -

2785 . The area of a rectangular R width 4 feet is equal to the area of a square S which has a perimeter of 24 feet. The perimeter of the rectangular R, in feet is--

2786 . The area of a rhombus is 96 sq. cm and the length of one of the diagonals is 16 cm. The length of the other diagonal is

2787 . The area of a square on a straight line is how many times that on its one- third ?

2788 . The area of a squeare is three-fifths the area of a rectangle. the length of the rectangle is 25 cm and its breadth is 10 cm less than its length. What is the perimeter of the square?

2789 . The area of the floor of an auditorium is 600 sq. meter. How many unbroken tiles of dimension 10 x 30 cm³ will be required to cover the floor completely?

2790 . The area of two spheres are in the ratio 1:4. The ratio of their volume is-

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