3376 . The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

A. 57
B. 72
C. 42
D. 50

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Answer: Option B

Explanation:

Let x represent the smallest number. Then the other number are

x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest.

The sum of these is 6x + (2 + 4 + 6 + 8 + 10) = 6x + 30

We are told that this is 38 greater than twice the largest, so

6x + 30 = 2(x + 10) + 38 = 2x + 58.

or, 4x = 28

∴x = 7

Then the sum is 6×7 + 30 = 72.

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3377 . The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

A. 1 or -1
B. -2
C. 1
D. -1

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Answer: Option A

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3378 . The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

A. None of these
B. 5years
C. 8years
D. 10years
E. None of these

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Answer: Option A

Explanation:

Let,

The age of the youngest child = x year

The age of the 2nd children = ( x + 3) year

The age of the 3rd children = ( x + 3 + 3) year

Tne age of the 4th children = ( x + 6 + 3) year

The age of the 5th children = ( x + 9 + 3) year

According to question,

x + x + 3 + x + 6 + x + 9 + x + 12 = 50

5x + 30 = 50

5x = 50 - 30

5x = 20

x = 4

So, the age of the youngest child is 4 years.

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3379 . The sum of first 17 terms of the series 5, 13, 17, --- is -

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

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Answer: Option C

Explanation:

এখানে, প্রথম পদ a = 5

সাধারন অন্তর d = 9 - 5 = 4

পদসংখ্যা n = 17

17 টি পদের সমষ্টি = 17/2 { 2 × 5 + ( 17 - 1) 4 } = 629.

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

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

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Answer: Option D

Explanation:

প্রথম পাঁচটি মৌলিক সংখ্যার সমষ্টি = 2 + 3 + 5 + 7 + 11 = 28

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3381 . The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

A. 8
B. 7
C. 6
D. 5

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Answer: Option D

Explanation:

Let the integers from smallest to largest be x - 2, x - 1, x, x + 1 & x + 2 respectively.

Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2)

or, 5x = 3x + 6

or, 5x - 2x = 6

or, 2x = 6

or, x = 3

So, the largest intger is 3 + 2 = 5.

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3382 . The sum of four consecutive even integers is 60. What is the value of the largest number?

A. 14
B. 24
C. 22
D. 20

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Answer: Option C

Explanation:

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 40
B. 41
C. 81
D. 82
E. None

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Answer: Option C

Explanation:

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Probationary Officer | 31.03.2017 ||

A. 67
B. 128
C. 191
D. 197
E. None of them

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Answer: Option B

Explanation:

Prime numbers that are greater than 60 but less than 70 are 61 and 67. So, their sum is = 61 + 67 = 128

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3385 . The sum of principal and simple interest of a certain amount of money would be Tk. 460- after 3 years from now and Tk. 500 after 5 years from now. What is the total interest rate?

A. 5%
B. 12%
C. 15%
D. 20%

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Answer: Option A

Explanation:

Interest in 2 years=500-460=40 taka

So, Interestper year=40/2=20 taka

So, Principal=460-(3×20)=400 taka

So, r=(I/pn)×100%

=(20/400)×100%

=(1/20)×100%

=5%

(ans).

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 18%
B. 15%
C. 26%
D. 5%

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Answer: Option D

Explanation:

(5 - 3) = 2 years interest = (500 - 460) = 40 tk

1 years interest = 40/2 = 20 tk

3 year's interest 20 × 3 = 60 tk

Principle amount = (460 - 60) = 400 tk

Interest rate = (60×100)/(400×3) = 5% (ans).

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Bangladesh Bank - Assistant Director - 2010

A. 16
B. 17
C. 18
D. 32

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Answer: Option A

Explanation:

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সমন্বিত ৫ ব্যাংক || অফিসার (ক্যাশ) (11-03-2022)

A. 17
B. 22
C. 33
D. 28

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Answer: Option B

Explanation:

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সোনালী ও ডিবিবিএল ব্যাংক- সিনিয়র অফিসার (আইটি) - 16.10.2020 ||

A. 11
B. 22
C. 33
D. 26

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Answer: Option B

Explanation:

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3390 . 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. 4 years
B. 8 years
C. 10 years
D. None of these

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Answer: Option A

Explanation:

Let the age of youngest child be x

then the age of other children ( x + 3) , (x + 6), (x + 9), (x + 12)

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4

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3376 . The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

3377 . The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

3378 . The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

3379 . The sum of first 17 terms of the series 5, 13, 17, --- is -

3380 . The sum of first five prime numbers is :

3381 . The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

3382 . The sum of four consecutive even integers is 60. What is the value of the largest number?

3383 . The sum of k consecutive integers is 41. If the lest integers is -40,then k=?

3384 . The sum of prime numbers that are greater than 60 but less than 70 is --

3385 . The sum of principal and simple interest of a certain amount of money would be Tk. 460- after 3 years from now and Tk. 500 after 5 years from now. What is the total interest rate?

3386 . The sum of principal and simple interest of a certain amount of money would be TK. 460 after three years from now and TK. 500 after 5 years from now . What is the related interest rate ?

3387 . The sum of square of two numbers is 48 and the square of their diffrence is 16. The prodduct of the two number is-

3388 . The sum of squares of two numbers ia 80 and the square of difference between two numbers is 36. Find the product of two numbers.

3389 . The sum of squares of two numbers is 80 and the square of difference between the two numbers is 36. Find the product of tow numbers.

3390 . 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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