3391 . The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 10 years
B. 6 years
C. 8 years
D. 4 years

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Answer: Option D

Explanation:

ধরি, সংখ্যাগুলো , x - 6, x - 3, x, x + 3, x + 6

x - 6 + x - 3 + x + x + 3 + x + 6 = 50

5x = 50

x = 10

সবচেয়ে ছোট শিশুটির বয়স = x - 6 বছর = 10 - 6 বছর = 4 বছর

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3392 . The sum of the ages of the father and son is 80 years. If ten years ago the age of father was three times that of his son, find the present age of the son

A. 55
B. 25
C. 12
D. 45

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Answer: Option B

Explanation:

Let,

Son = x years

Then, Father = (80-x) years

10 years ago,

Son was = (x-10) years

Father was = (80-x-10) = (70-x) years

ATQ,

70-x = 3(x-10)

=> 70-x = 3x-30

=> 4x = 100

=> x = 100÷4 = 25 years

So, Son is 25 years old.

Ans. 25

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

A. 75
B. 80
C. 85
D. 90

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Answer: Option D

Explanation:

let, age of son is x years

so the age of the father is 3x

according to the question,

x + 3x = 120

or, 4x = 120

∴ x = 30

so, father's age is = 3*30 = 90 years

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

A. 90°
B. 180°
C. 360°
D. 200°

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Answer: Option C

Explanation:

The correct option is D 360°
Since we know all the angles of a square measure 90° and there are 4 angles in total,

Sum of the angles = 90°×4 = 360°

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3395 . the sum of the first 17 terms of the series 5,9,13,17...

A. 529
B. 462
C. 629
D. 523

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Answer: Option C

Explanation:

Sum=(17/2)×(2×5+16×4)=629

(ans)

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 11
B. 18
C. 26
D. 28

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Answer: Option D

Explanation:

First five prime numbers are 2,3,5,7,11.

2+3+5+7+11=28

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

A. 12 years
B. 14 years
C. 18 years
D. 20 years

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Answer: Option D

Explanation:

Let the present ages of son and father be x and (60 - x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
⇒ 54 - x = 5x - 30
⇒ 6x = 84
⇒ x = 14
∴ Son's age after 6 years = (x + 6) = 20 years.

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

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.

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সহকারী পরিচালক(AD) -12.11.2021

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

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Answer: Option A

Explanation:

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

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

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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

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

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

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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

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

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

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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

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Bangladesh Bank - Assistant Director - 2004

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

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Answer: Option A

Explanation:

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গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক | ২০.০৪.২০১৮

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

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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.

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3405 . 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

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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.

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3391 . The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

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3392 . The sum of the ages of the father and son is 80 years. If ten years ago the age of father was three times that of his son, find the present age of the son

3393 . The sum of the ages of the son and father is 120 years. The father's age is 3 times than that of the son. What is the age of father?

3394 . The sum of the angles of a square is:

3395 . the sum of the first 17 terms of the series 5,9,13,17...

3396 . The sum of the first five prime number is:

3397 . The sum of the present ages of a father and his son is 60 years . Six years ago, father's age was five times the age of the son. After 6 years, son's age will be -

3398 . The sum of the square of a number and 12 times the number is -27. What is the smaller possible value of this number?

3399 . 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 -

3400 . 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 –

3401 . 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:

3402 . The sum of three consecutive number is 123, The product of two smaller number is :

3403 . The sum of three consecutive odd integers is 40 more than the first of the numbers. What is the middle number?

3404 . The sum of three consecutive odd numbers is how many times as large as the middle number?

3405 . The sum of three cosecutive even integers is equal to 4 times the smallest. What is the smallest of the integers?

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