31 . Mr.Karim wants to put up fencing around three sides of his rectangular yard and leave a side of 10 feet unfenced. If the yard has an area of 340 sq. feet, how many feet of fencing does he need?

A. 74
B. 84
C. 64
D. None of these

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Answer: Option D

Explanation:

Area, Length×Width = 340

or, Lenght×10 = 340

So, Length = 340/10 = 34 feet

Fencing needed = 34 + 34 + 10 = 78 feet

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32 . On an areial photograph, the surface of a pond appears as a circular region of radius 7/16 inch.If a distance of 1inch on the photograph correspondence to a actual distance of 2miles.Which of the following of closest estimate of actual surface of the area of pond,in square miles?

A. 1.3
B. 2.4
C. 3.0
D. 3.8
E. None of these

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Answer: Option B

Explanation:

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33 . Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet of the wall?

A. 117
B. 121
C. 143
D. 141

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Answer: Option C

Explanation:

Side of the plywood = √169 = 13 feet

Cutting of 2 feet from a side will make it a rectangular sheet with a length of 13 feet and a width of 11 feet. Area of the wall is equal to the area of this sheet.

So, the area of the wall = 13 x 11 = 143 sq ft

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34 . 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?

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)

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35 . The breadth of a rectangular field is 60% of its length . If the perimeter of the field is 800 m, what is the area of the field ?

A. 37500 sq.m
B. 40000 sq.m
C. 48000 sq.m
D. 18750 sq.m

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Answer: Option A

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Bangladesh Bank - Officer(Cash) - 2016

A. 16cm
B. 17cm
C. 20cm
D. 18cm

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Answer: Option D

Explanation:

ধরি, আয়তক্ষেত্রের ক্ষেত্রর দৈর্ঘ্য x cm এবং প্রস্ত. y cm
root x2 + y2 = root 41
x2 + y2 = 41 এবং xy = 20
( x + y) 2 = x2 + y2 + 2xy = 41 + ( 2 × 20) = 81
( x + y) = root 81
x + y = 9
ক্ষেত্রটির পরিসীমা = 2 ( x + y) = 2 × 9 = 18cm

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37 . The difference between two number is 5 and the difference between their squares 65. What is the larger number?

A. 13
B. 11
C. 8
D. 9

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Answer: Option D

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38 . The difference between two numbers is 5 and the difference between their square is 65. What is the smaller number?

A. 4
B. 5
C. 11
D. 13

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Answer: Option A

Explanation:

ধরি, সংখ্যা দুটি x ও y যেখানে x > y

x - y = 5

x2 - y2 = 65

( x + y) ( x - y) = 65

( x + y) 5 = 65

x + y = 65/5

x + y = 13

বড় সংখ্যাটি = ( x + y) + ( x - y) / 2 = 13 + 5/2 = 9.

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

A. 4
B. 5
C. 6
D. 7

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Answer: Option B

Explanation:

ধরি, বড় সংখ্যা= x, ছোট সংখ্যা=y

প্রশ্নমতে, x - y =7……….(1)

xy =60 => x => 60/y

(1) নং এ x এর মান বসিয়ে পাই,

60/y - y =7

=> 60 - y2 - 7y =0

=> y2 +7y - 60= 0

=> y2 +12y -5y -60=0

=> y(y+12)-5(y+12)=0

=> (y+12)(y-5)=0

So, y = 5 but y≠-12

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NRBC BANK PO/TAO (16-06-2023) || 2023

A. 27
B. 33
C. 20
D. 81

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Answer: Option A

Explanation:

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41 . The difference between two positive numbers is 16. If the smaller of the two is 3/5th of the large, what is the value of the smaller number?

A. 18
B. 24
C. 30
D. 40

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Answer: Option B

Explanation:

Let the larger and smaller numbers be X and 3X/5 respectively.

Then, X - 3X/5 = 16

or, (5X - 3X)/5 = 16

or, 2X = 80

or, X = 40

So, the smaller number, 3X/5 = 3×40/5 = 24

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তিতাস গ্যাস ট্রান্সমিশন এন্ড ডিষ্ট্রিবিউশন কোম্পানী লি. | সহকারী ব্যবস্থাপক (অ্যাকাউন্টস) | ২৭.০৪.২০১৮

A. tk. 156
B. tk. 120
C. tk. 136
D. tk. 160

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Answer: Option A

Explanation:

Area = 2(ab + bc + ca) = 2((2*3) + (3*4) + (4*2)) = 2(6 + 12 + 8) = 52 Total cost = 52*3 = 156 tk.

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Bangladesh bank - officer ( general) - 27.04.2018

A. 1/12
B. 1/9
C. 2/3
D. 10/9

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Answer: Option C

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44 . The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?

A. m2 +6
B. 6
C. m2 - 6
D. m2 +9

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Answer: Option D

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45 . The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:

A. 40
B. 50
C. 60
D. 44

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Answer: Option C

Explanation:

Let, breadth = x

x × 3x/2 = 216

x2 = ( 216× 2) /3 = 72 × 2 = 144

x = 12

Breadth = 12

Length = 3/2 × 12 = 18

Perimeter of the floor = 2 ( 12 + 18) = 60

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31 . Mr.Karim wants to put up fencing around three sides of his rectangular yard and leave a side of 10 feet unfenced. If the yard has an area of 340 sq. feet, how many feet of fencing does he need?

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32 . On an areial photograph, the surface of a pond appears as a circular region of radius 7/16 inch.If a distance of 1inch on the photograph correspondence to a actual distance of 2miles.Which of the following of closest estimate of actual surface of the area of pond,in square miles?

33 . Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet of the wall?

34 . 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?

35 . The breadth of a rectangular field is 60% of its length . If the perimeter of the field is 800 m, what is the area of the field ?

36 . The diagnal of a rectangular is √41 cm and its area is 24cm2.What is the perimeter of ractangle ?

37 . The difference between two number is 5 and the difference between their squares 65. What is the larger number?

38 . The difference between two numbers is 5 and the difference between their square is 65. What is the smaller number?

39 . The difference between two numbers is 7 and their product is 60, then one of the two numbers must be

40 . The difference between two positive number is 3 and the sum of their squares is 369. Then the sum of the numbers is -

41 . The difference between two positive numbers is 16. If the smaller of the two is 3/5th of the large, what is the value of the smaller number?

42 . The dimensions of a box are 2,3 and 4 meters . the cost of painting the outer sides of the box at the rate of tk. 3 per square meter is ___

44 . The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?

45 . The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:

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