3181 . The sum of the square of a number and 12 times the number is -27. What is the smaller possible value of this number?

A. -3
B. -9
C. 3
D. 9

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Answer: Option B

Explanation:

Let's call the number we're trying to find "x." According to the problem, we have the equation:

x^2 + 12x = -27

Now, let's solve for x. First, move all terms to one side of the equation:

x^2 + 12x + 27 = 0

Now, this is a quadratic equation. We can try to factor it or use the quadratic formula. In this case, factoring might not be straightforward, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 1, b = 12, and c = 27. Plugging these values into the formula:

x = (-12 ± √(12² - 4 * 1 * 27)) / (2 * 1)

x = (-12 ± √(144 - 108)) / 2

x = (-12 ± √36) / 2

Now, simplify further:

x = (-12 ± 6) / 2

Now, we have two possible solutions:

x = (-12 + 6) / 2 = -6 / 2 = -3
x = (-12 - 6) / 2 = -18 / 2 = -9
So, there are two possible values for x: -3 and -9. Since the problem asks for the smaller possible value, the answer is -9.

সহকারী পরিচালক(AD) -12.11.2021

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3182 . The sum of the squares of these numbers is 532 and the ratio of the first and the ratio of the first and the second as also of the second and the third is 3 : 2. Then the first number is -

A. 18
B. 6
C. 12
D. 20

View Answer	Favorite Question

Answer: Option A

Explanation:

Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 20
B. 30
C. 40
D. Cannot be determined

View Answer	Favorite Question

Answer: Option A

Explanation:

a^{2} + b^{2} + c^{2} = 138 a b + a c + b c = 131 a + b + c = ? Now, we know, {(a + b + c)}^{2} = a^{2} + b^{2} + c^{2} + 2 ab + 2 ac + 2 bc = > {(a + b + c)}^{2} = 138 + 2 \times 131 = > {(a + b + c)}^{2} = 400 = > a + b + c = \sqrt{400} = > a + b + c = 20

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

A. 10
B. 12
C. 15
D. 16

View Answer	Favorite Question

Answer: Option B

Explanation:

Solution:

Let the two number is x and y,

Given that,
5x = 6y………..(i) ; (here x is the bigger one)
x + y = 22 ……(ii)

Now, from equation (ii),
x + y = 22
=> 6x + 6y = 22*6 ; ( Multiplying both sides by 6)
=> 6x + 5x = 132 ; ( from equation (i) )
=> 11x = 132
=> x =132 / 11
=> x = 12

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

A. 900
B. 1600
C. 1680
D. 1640

View Answer	Favorite Question

Answer: Option D

Explanation:

Let,
the three numbers are x, x+1, x+2

Here, two smaller numbers are x, x+1 respectively

The sum of three consecutive number is 3X+3 = 123
so, X= (123-3)/3
= 40
Two smallers numbers are 40 and 41 respectively
So their product is 40*41
= 1640

Answere: 1640

Bangladesh Bank - Assistant Director - 2004

A. 19
B. 21
C. 23
D. None

View Answer	Favorite Question

Answer: Option A

Explanation:

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক | ২০.০৪.২০১৮

A. 1
B. 2
C. 2.5
D. 3

View Answer	Favorite Question

Answer: Option D

Explanation:

The middle number is the average of three consecutive odd numbers.

So, the sum of the three consecutive odd numbers = 3 x the middle number.

3188 . The sum of three cosecutive even integers is equal to 4 times the smallest. What is the smallest of the integers?

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

View Answer	Favorite Question

Answer: Option C

Explanation:

Let the consecutive even integers be m, (m + 2) and (m + 4)

Then, m + (m + 2) + (m + 4) = 4m or, m = 6.

3189 . The sum of three numbers is 138. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 7, then the second number is.

A. 42
B. 45
C. 48
D. 52

View Answer	Favorite Question

Answer: Option B

Explanation:

3190 . The sum of tree consecutive even integers is equal to 4 times the smallest. What is the smallest integer?

A. 4
B. 6
C. 8
D. 8

View Answer	Favorite Question

Answer: Option B

Explanation:

Let the consecutive even integers be m, (m + 2) and (m + 4)

Then, m + (m + 2) + (m + 4) = 4m or, m = 6.

3191 . The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

A. 21
B. 15
C. 16
D. 18

View Answer	Favorite Question

Answer: Option B

Explanation:

Let, the bigger number = x, smaller number = y

x+y = 36

x-y = 6

(Doing Subtraction), 2y = 30

y = 15 (Ans)

সহকারী পরিচালক(AD) -12.11.2021

A. 65
B. 72
C. 76
D. 80

View Answer	Favorite Question

Answer: Option B

Explanation:

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

A. 6 and 9
B. 7 and 8
C. 10 and 5
D. None of these

View Answer	Favorite Question

Answer: Option B

Explanation:

3194 . The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

A. 40
B. 44
C. 80
D. 88

View Answer	Favorite Question

Answer: Option A

Explanation:

ATQ,
x + y = 22 ... (i)
x2 + y2 = 404 ... (ii)
Therefore, (x + y)2 = x2 + y2 + 2xy
(22)2 = 404 + 2xy
484 = 404 + 2xy
Or, 2xy = 80
Or, xy = 40

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

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

View Answer	Favorite Question

Answer: Option D

Explanation:

Let's the two numbers are x and y. wher x>y

x + y = 23....(i)

and x - y = 21......(ii)

or, x - y = 21

or, x = 21 + y....(iIi)

replacing x with x = 21 + y in equation (i)

x + y = 23

or,21 + y + y = 23

or, 21 + 2y = 23

or, 2y = 2

∴ y = 1

so, the smallest number is 1

ans: 1

Sonali- Janata- Agrani &amp- Rupali Bank Ltd. Senior Officer Recruitment 14.03.2008

3181 . The sum of the square of a number and 12 times the number is -27. What is the smaller possible value of this number?

3182 . The sum of the squares of these numbers is 532 and the ratio of the first and the ratio of the first and the second as also of the second and the third is 3 : 2. Then the first number is -

3183 . The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is –

3184 . The sum of the two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

3185 . The sum of three consecutive number is 123, The product of two smaller number is :

3186 . The sum of three consecutive odd integers is 40 more than the first of the numbers. What is the middle number?

3187 . The sum of three consecutive odd numbers is how many times as large as the middle number?

3188 . The sum of three cosecutive even integers is equal to 4 times the smallest. What is the smallest of the integers?

3189 . The sum of three numbers is 138. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 7, then the second number is.

3190 . The sum of tree consecutive even integers is equal to 4 times the smallest. What is the smallest integer?

3191 . The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

3192 . The sum of two number is 184. If one-third of the one exceeds one-seventh of the other by 8.. find the smaller number.

3193 . The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.

3194 . The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

3195 . The sum of two numbers is 23 and difference is 21. What is the smaller of the two numbers?

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