2956 . The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -

A. 23
B. 13
C. 3
D. 33

View Answer	Favorite Question

Answer: Option A

Explanation:

5,6,4 এবং 3 এর ল.সা.গু = 60

Now, 2497÷60 = 41, অবশিষ্ট 37

∴(60 - 37) = 23 যােগ করতে হবে।

2957 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

A. 900
B. 1200
C. 2500
D. 3600

View Answer	Favorite Question

Answer: Option D

Explanation:

To find least perfect square diviisible by 3, 4, 5, 6, and 8 L.C.M of 3, 4, 5, 6, and 8 = 120

120 = 2×2×3×5

In the above factorization 2, 3 and 5 are not in Paris so let multiphy it by the sated numbers

120×2×5×5 = 3600

2958 . The least prime number is .

B. 1
C. 3
D. 2

View Answer	Favorite Question

Answer: Option D

Explanation:

2959 . The least whole number which when subtracted from both the terms of the ratio 6 : 7 gives a ratio less than 16:21 is :

A. 2
B. 3
C. 4
D. 6

View Answer	Favorite Question

Answer: Option B

Explanation:

ধরি,ক্ষুদ্রতম সংখ্যা x বাদ দিলে ratio 16 : 21 এর সমান হয়।

6 - x / 7 - x = 16/21

112 - 16x = 126 - 21x

21x - 16x = 126 - 112

x = 14/5

x = 2.8

x এর মান যত বৃদ্ধি পাবে অনুপাত 16/21 এর চেয়ে তত ছোট হবে।

ক্ষুদ্রতম পূর্ণ সংখ্যা x = 3

2960 . The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle. So formed exceeds the area of the square by--

A. 50%
B. 56%
C. 20%
D. 36%

View Answer	Favorite Question

Answer: Option B

Explanation:

2961 . The length and breadth of a square of a are increased by 40% and 30% receptively. The area of the resulting rectangle exceeds the are of the square by?

A. 62%
B. 42%
C. 82%
D. None of the above

View Answer	Favorite Question

Answer: Option C

Explanation:

ধরি,

বর্গক্ষেত্রের বাহুর দৈর্ঘ্য = ১০০ একক

সুতরাং,

বর্গক্ষেত্রের ক্ষেত্রফল (১০০)২ ব.একক = ১০০০০ বর্গ একক

৪০% বৃদ্ধিতে নতুন আয়তক্ষেত্রের দৈর্ঘ্য = ১০০ + ৪০ = ১৪০ একক

৩০% = ১০০ + ৩০ = ১৩০ একক

সুতরাং,

আয়তক্ষেত্রের ক্ষেত্রফল = ১৪০ × ১৩০ ব.একক = ১৮২০০ ব.একক

আয়তক্ষেত্রের ক্ষেত্রফল বৃদ্ধি = ১৮২০০ - ১০০০০/১০০০০ × ১০০ = ৮২০০ × ১০০/১০০০০ = ৮২%

2962 . The length of a rectangle is 1 inch more than 2 times its width.The area of the rectangle is 36 square inches. what is the length of the rectangle?

A. 4 inches
B. 6 inches
C. 9 inches
D. 18 inches
E. None of these

View Answer	Favorite Question

Answer: Option C

Explanation:

2963 . The length of a rectangle is 1 inch more than 2 times its width. The area of the reatangle is 36 square inches. What is the length of the rectangle?

A. 4 inches
B. 6 inches
C. 9 inches
D. 18 inches

View Answer	Favorite Question

Answer: Option C

Explanation:

Let the width be W.

Then, Length = 2W + 1

Now, area, (2W + 1)×W = 36

or, 2W2 + W = 36

or, 2W2 + W - 36 = 0

or, 2W2 + 9W - 8W - 36 = 0

or, W(2W + 9) - 4(2W + 9) = 0

or, (2W + 9)(W - 4) = 0

or, W - 4 = 0 [2W + 9≠0]

or, W = 4

So, length, 2W + 1 = 2×4 + 1 = 9 inches

2964 . The length of a rectangle is 20% more than its breadth . Find the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle .

A. 8 : 9
B. 3 : 2
C. 6 : 5
D. 2 : 1

View Answer	Favorite Question

Answer: Option C

Explanation:

2965 . The length of a rectangle is 6 feet more than the side of a square and the width of the rectangle is 6 feet less than the side of that square. If the area of the square is 64 sq feet, what is the area of the rectangle?

A. 20 sq feet
B. 30 sq feet
C. 40 sq feet
D. 28 sq feet
E. None of these

View Answer	Favorite Question

Answer: Option D

Explanation:

Side of the square = √64 = 8 feet

So, length of the rectangle = 8 + 6 = 14 feet

Width of the rectangle = 8 - 6 = 2 feet

So, the area of the rectangle = 14 x 2 = 28 square feet.

2966 . The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged?

A. 30%
B. 25%
C. 20%
D. 35%

View Answer	Favorite Question

Answer: Option C

Explanation:

Hints : Let, length = 100x and width = 100y

And z% was decreased from width

So, 100x × 100y = 125x ( 100y - z)

10000xy = 12500xy - 125xz

125xz = 2500xy

z = 20y

অতএব, 20% decreased

2967 . The length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area?

A. 33.33
B. 50
C. 66.67
D. 150

View Answer	Favorite Question

Answer: Option A

Explanation:

2968 . The length of a rectangle is twice than that of its breadth. If the length of the rectangle is increased by 10%, while its breadth is decreased by 10% what is the percentage change in the perimeter ?

A. 3 1/3%
B. 3 2/3%
C. 4%
D. No change

View Answer	Favorite Question

Answer: Option A

Explanation:

ধরি, breadth x unit

length 2x unit

Perimeter 2 ( 2x + x) unit = 6x unit

10% বৃদ্ধিতে , breadth ( x - 10x/100) = 9x/10 unit

10% বৃদ্ধিতে length ( 2x + 120x/100) = 11x/5

Perimeter 2 ( 9x/10 + 11x/5) unit = 2 ×31x/10 = 31x/5

Perimeter বৃদ্ধির হার ( 31x /5 - 6x / 6x × 100%) = 3 1/3 %

2969 . The length of a rectangular field is 30 meter. A fence surrounding the field has a total lenght of 140 meter. What is the lenght (in meter) of the diagonal path of this rectangular field?

A. 40
B. 50
C. 60
D. 70

View Answer	Favorite Question

Answer: Option B

Explanation:

To find the length of the diagonal path of a rectangular field, we can use the Pythagorean theorem. Let's denote the length of the rectangular field as "L" and the width as "W."

Given: Length of the rectangular field (L) = 30 meters Perimeter of the fence = 140 meters

The perimeter of a rectangle is given by the formula: Perimeter = 2(L + W).

We're given that the perimeter is 140 meters:

140 = 2(L + W)

Now, we can solve for W:

2(L + W) = 140

L + W = 140/2

L + W = 70

We know that L is 30 meters, so we can find W:

30 + W = 70

Subtract 30 from both sides:

W = 70 - 30

W = 40 meters

Now that we have the length (L = 30 meters) and the width (W = 40 meters), we can use the Pythagorean theorem to find the length of the diagonal path (D):

D² = L² + W²

D² = (30²) + (40²)

D² = 900 + 1600

D² = 2500

Now, take the square root of both sides to find D:

D = √2500

D = 50 meters

So, the length of the diagonal path of the rectangular field is 50 meters.

2970 . 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

View Answer	Favorite Question

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

2956 . The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -

2957 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

2958 . The least prime number is .

2959 . The least whole number which when subtracted from both the terms of the ratio 6 : 7 gives a ratio less than 16:21 is :

2960 . The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle. So formed exceeds the area of the square by--

2961 . The length and breadth of a square of a are increased by 40% and 30% receptively. The area of the resulting rectangle exceeds the are of the square by?

2962 . The length of a rectangle is 1 inch more than 2 times its width.The area of the rectangle is 36 square inches. what is the length of the rectangle?

2963 . The length of a rectangle is 1 inch more than 2 times its width. The area of the reatangle is 36 square inches. What is the length of the rectangle?

2964 . The length of a rectangle is 20% more than its breadth . Find the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle .

2965 . The length of a rectangle is 6 feet more than the side of a square and the width of the rectangle is 6 feet less than the side of that square. If the area of the square is 64 sq feet, what is the area of the rectangle?

2966 . The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged?

2967 . The length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area?

2968 . The length of a rectangle is twice than that of its breadth. If the length of the rectangle is increased by 10%, while its breadth is decreased by 10% what is the percentage change in the perimeter ?

2969 . The length of a rectangular field is 30 meter. A fence surrounding the field has a total lenght of 140 meter. What is the lenght (in meter) of the diagonal path of this rectangular field?

2970 . 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:

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক