1 . In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :

A. 36, 37
B. 13, 12
C. 64, 65
D. 24, 25
E. 75, 76

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Answer: Option C

Explanation:

Let, Two number x, x + 1

x/4 = x + 1/5 + 3

5x = 4x + 4 + 60

x = 64

x + 1 = 64 + 1 = 65

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Bangladesh Bank - Assistant Director - 2011

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2 . On a 2 km road, a total of 201 tress are planed on the side of the road at equal distance. How many such trees will be planed on a50 k.m road such that the distance between two consecutive tress is the same as that of the consecutive trees on the 2k.m road?

A. 501
B. 5001
C. 5000
D. 1000

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Answer: Option B

Explanation:

Without the first tree, number of the tree is (201-1)=200

In 2 km number of trees are 200

In 1 “. ” “ ” 200/2

50 “. ”. “. ”. 200*50/2 =5000

Total tree will be 5000+1=5001

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বাংলাদেশ ব্যাংক || সহকারী পরিচালক 28-10-2022

A. 69
B. 53
C. 65
D. 72

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Answer: Option A

Explanation:

Let 4 consecutive even numbers be x, x + 2, X + 4 and x + 6 respectively.
3 consecutive odd numbers be y, y + 2 and y + 4
According to question,
[x + x + 2 + x + 4 + x + 6]−[y + y + 2 + y + 4] = 81
= > (4x + 12)−(3y + 6) = 81
4x−3y = 81−12 + 6
4x−3y = 75
x + 4 = 59
On solving equations (i) and (ii), we get
X = 36
y = 23
The sum of largest odd and even number = x + 6 + y + 4 = x + y + 10 = 36 + 23 + 10 = 69

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Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

A. a+b+c
B. ab+c
C. ac+e
D. ac+d

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Answer: Option A

Explanation:

ধরি, a = 1, b = 2, c = 3, d = 4 এবং e = 5
.: a + b + c = 1 + 2 + 3 = 6 (জোড়)
.: ab + c = 1 x 2 + 3 = 5 (বিজোড়)
.:. ac + e = 1 x 3 + 5 = 8 (জোড়)
.:. ac + d = 1 x 3 + 4 = 7 (বিজোড়)
.:. বিজোড় হবে না a + b + c এবং ac + e

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ওয়েজ আর্নার্স কল্যাণ বোর্ড || সহকারী পরিচালক (22-11-2024) || 2024

A. a + b < c
B. a - b < c
C. a + b = c
D. a+b≥c

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Answer: Option B

Explanation:

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 100cd / p
B. dp / 100c
C. 100cp / c
D. 100dp / c

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Answer: Option D

Explanation:

We know
1 dollar= 100 cents
so, d dollars = 100d cents

c cents for p number of pencils
1 cents for p/c number of pencils
100d cents for 100dp/c number of pencils.

Answere: 100dp/c

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Bangladesh Bank - Assistant Director - 2004

A. 9
B. 15
C. 12
D. 14

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Answer: Option B

Explanation:

Let the first integer be x - 1. Then the next two integers would be x and x + 1. So:

(x - 1)× x × (x + 1) = 120

= > (x² - 1)x = 120

= > x³ - x = 120

∴x = 5 , Check 5³ - 5 = 125 - 5 = 120.

So, x = 5. The other two numbers are 4 and 6 which are equal to x - 1 and x + 1 respectively.

Now the total of these numbers is 3x = 3×5 = 15.

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8 . If the product of three consecutive integers is 210, then the sum of integers is .

A. 14
B. 15
C. 18
D. 21

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Answer: Option C

Explanation:

Previous Explanation - 5

Thus 210 can be written as 5 x 6 x 7. This means that the consecutive integers are 5, 6, and 7, and their sum is 18.

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Bangladesh Bank - Assistant Director - 2004

A. 5
B. 11
C. 20
D. 13

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Answer: Option B

Explanation:

Here, 210 = 2 x 3 x 5 x 7

Product of three consecutive integers 5, 6 & 7 = 5 x 6 x 7 = 210.

So, the sum of the first two integers = 5 + 6 = 11

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10 . If the sum of 3 consecutive integer is 210, then the sum of the two smaller integer is-

A. 139
B. 140
C. 141
D. Cannot be determined

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Answer: Option A

Explanation:

Let the integers be X, X + 1 and X + 2 respectively.

Then, X + X + 1 + X + 2 = 210

or, 3X + 3 = 210

or, 3X = 210 - 3 = 207

or, X = 207/3 = 69

Then, sum of the two smaller integers = X + X + 1 = 69 + 69 + 1 = 139.

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বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023)

A. 99
B. 139
C. 110
D. none of these

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Answer: Option A

Explanation:

Let the integers be x, x + 1 and x + 2 respectively.

Then, x + x + 1 + x + 2 = 150

or, 3x + 3 = 150

or, 3x = 150 - 3 = 147

or, x = 147/3 = 49

Then, sum of the two smaller integers = x + x + 1 = 49 + 49 + 1 = 99.

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12 . If the sum of five consecutive even integers is 's' , then in terms of 's', what is the greatest of these integers ?

A. (s-20)/5
B. (s-10)/5
C. (s+20)/5
D. (s+10)/5
E. None of these

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Answer: Option D

Explanation:

শর্তানুসারে, - 2 a. 1 b. - 2 - 12
c. 3 - 11

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13 . If the sum of four consicutive even integer is s, what is the greatest of the integers in terms of s?

A. (s + 12)/4
B. (s - 12)/4
C. (s + 6)/4
D. (s - 6)/4

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Answer: Option A

Explanation:

একটা চিন্তা করে দেখেন S কে চার দিয়ে ভাগ করলে ২য় ও ৩য় even number এর মাঝের integer টা আসবে।

( 2 + 4 + 6 + 8 = 20/4 = 5)

4th one is s/4 + 3 = s + 12 /4

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14 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is

A. 79
B. 159
C. 169
D. 161
E. None of these

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Answer: Option D

Explanation:

Let,

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

As per question,

x + x + 1 + x + 2 = 240

3x + 3 = 240

x = 79

large two numbers are 80, 81

summation = 80 + 81 = 161

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Bangladesh Bank - Assistant Director - 2009

A. 22
B. 23
C. 24
D. 35
E. None of these

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Answer: Option B

Explanation:

ধরি, সংখ্যা তিনটি যথাক্রমে

x - 1, x, x + 1

x - 1 + x + x + 1 <75

3x <75

x<75/3

x<25

যেহেতু x<25 এবং পূর্ণসংখ্যা সেহেতু x = 24

ছোট সংখ্যাটি = ( 24 - 1 ) = 23

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1 . In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :

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2 . On a 2 km road, a total of 201 tress are planed on the side of the road at equal distance. How many such trees will be planed on a50 k.m road such that the distance between two consecutive tress is the same as that of the consecutive trees on the 2k.m road?

3 . Sum of 4 consecutive even numbers is greater than consecutive odd numbers by 81. If the sum of the least odd and even numbers is 59 then find the sum of largest odd and even numbers.

4 . a, b, c, d and e are five consecutive integers in increasing order of size. Which one of the following expression is not odd?

5 . If a, b, and c are the lengths of the three sides of a triangle, then which of the following is true?

6 . If p number of pencils cost c cents, how many pencils can be bought for d dollars ?

7 . If the product of 3 consecutive integers is 120, then the sum of the integers is----

8 . If the product of three consecutive integers is 210, then the sum of integers is .

9 . If the product of three consecutive integers is 210, then the sum of the two smaller integers is -

10 . If the sum of 3 consecutive integer is 210, then the sum of the two smaller integer is-

11 . If the sum of 3 consecutive integers is 150, then the sum of the two smaller integers is:

12 . If the sum of five consecutive even integers is 's' , then in terms of 's', what is the greatest of these integers ?

13 . If the sum of four consicutive even integer is s, what is the greatest of the integers in terms of s?

14 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is

15 . If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest one?

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