3016 . 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.

3017 . 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

Explanation:

3018 . 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.

3019 . 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.

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

3021 . 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.

3022 . 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:

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

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

3024 . 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).

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).

Bangladesh Bank - Assistant Director - 2010

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

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Answer: Option B

Explanation:

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:

3028 . 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

3029 . 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

3030 . 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

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

3016 . The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

3017 . The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

3018 . 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?

3019 . The sum of first 17 terms of the series 5, 13, 17, --- is -

3020 . The sum of first five prime numbers is :

3021 . The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

3022 . The sum of four consecutive even integers is 60. What is the value of the largest number?

3023 . The sum of prime numbers that are greater than 60 but less than 70 is --

3024 . 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?

3025 . 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 ?

3026 . 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.

3027 . 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.

3028 . 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?

3029 . 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?

3030 . 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

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