3151 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller is 74. If a is the sum of the smaller number, which equation below determines the correct value of a?

A. 5(2a + 9) + 2a = 74
B. 5(2a - 9) + 2a = 74
C. (4a + 9) + 5a = 74
D. 2(2a + 9) + 5a = 74

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Answer: Option D

Explanation:

ধরি, ছোট সংখ্যাটি a

বড় সংখ্যাটি 2a + 9

শর্তমতে, 2 (2a + 9) + 5a = 74

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3152 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

A. 5(2a+9)+2a = 74
B. 5(2a-9+2a)=74
C. (4a+9)+5a=75
D. 2(2a+9)+5a=74

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Answer: Option D

Explanation:

ধরি, ছোট সংখ্যাটি a

বড় সংখ্যাটি 2a + 9

শর্তমতে, 2 (2a + 9) + 5a = 74

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3153 . The largest number from among

A. $\sqrt[3]{3}$
B. $\sqrt{2}$
C. $\sqrt[4]{4}$
D. None of these

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Answer: Option A

Explanation:

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Bangladesh Bank - Assistant Director - 2014

A. 30
B. 60
C. 15
D. 75

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Answer: Option A

Explanation:

The other number is = (LCM*HCF) / one number

= (90*15)/45 = 30 (Ans)

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

A. 2
B. 3
C. 6
D. 24

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Answer: Option C

Explanation:

294 = 7 x 7 x 2 x 3. To get a perfect square, it has to be multiplied by 2 x 3 i.e., 6.

∴
Required number = 6.

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পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

A. 1000
B. 1016
C. 1024
D. 1036

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Answer: Option C

Explanation:

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3157 . The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

A. 1600
B. 3600
C. 6400
D. 14400

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Answer: Option B

Explanation:

16, 20 ও 24 এর ল, সা, গু = 240

240 = (2×2) ×(2×2) ×(3×5)

এখানে, 3 ও 5 জোড়াবিহীন । সুতরাং 240 কে 15 দ্বারা গুন করলে সংখ্যটি পূর্ণবর্গ হবে।

সংখ্যাটি = 240×15 = 3600

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3158 . 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

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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।

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3159 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

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

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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

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3160 . The least prime number is .

B. 1
C. 3
D. 2

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Answer: Option D

Explanation:

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3161 . 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

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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

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3162 . 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%

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Answer: Option B

Explanation:

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3163 . 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

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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%

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3164 . 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

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Answer: Option C

Explanation:

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3165 . 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

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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

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Jamuna Bank Ltd - Probationary Officer - 2009

3151 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller is 74. If a is the sum of the smaller number, which equation below determines the correct value of a?

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3152 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

3154 . The LCM and HCF of two numbers are 90 and 15 respectively . If one number is 45, the other number is-

3155 . The least number by which 294 must be multiplied to make it a perfect square, is:

3156 . The least number of 4 digits which is a perfect square, is:

3157 . The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

3158 . The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -

3159 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

3160 . The least prime number is .

3161 . The least whole number which when subtracted from both the terms of the ratio 6 : 7 gives a ratio less than 16:21 is :

3162 . 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--

3163 . 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?

3164 . 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?

3165 . 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?

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