বিসিএস, ব্যাংক, প্রাথমিক শিক্ষক ও সকল সরকারি চাকরির বিগত সালের প্রশ্ন ও অধ্যায়ভিত্তিক নির্ভুল সমাধান
Solution:
Let the two integers be x and y
The difference between the two integers is 6,
∴ x - y = 6 and their product is, xy = 352
Now, We know
∴ x + y = 38
∴ The sum of the two numbers is 38.
Solution:
Let the three numbers are 2x, 5x, and 8x, where x is a constant multiplier.
The average of the three numbers is given as 75.
The average of the three numbers is,
⇒ (2x + 5x + 8x)/3 = 75
⇒ 15x/3 = 75
⇒ 5x = 75
⇒ x = 75/5
∴ x = 15
The first number is = 2x = 2 × 15 =30
The third number is = 8x = 8 × 15 = 120
∴ The difference between the larger and smaller numbers is, 120 − 30 = 90
Solution:
let, the number = x
According to the question,
⇒ x - 15 = 25% of x
⇒ x - 15 = 25x/100
⇒ x - 15 = x/4
⇒ 4x - 60 = x
⇒ 4x - x = 60
⇒ 3x = 60
⇒ x = 60/3
∴ x = 20
So, the larger number is 20.
Solution:
let, the number = x
According to the question,
⇒ 3x/4 = 1x/3 + 70
⇒ 3x/4 - 1x/3 = 70
⇒ (9x - 4x)/12 = 70
⇒ 5x/12 = 70
⇒ 5x = 70 × 12
⇒ x = (70 × 12)/5
⇒ x = 14 × 12
∴ x = 168
Solution:
The obvious maximum that have all 3 is 55, because you are limited by the smallest number.
The minimum is simply the sum of the max of each people who dont have the product, so:
100 - 80 = 20 don't have Cell
100 - 75 = 25 don't have DVD and
100 - 55 = 45 don't have MP3
So a total of 20 + 25 + 45 = 90 combined who might not have some combination of the 3 products.
So subtract that from 100, to give you the minimum of the people who could have all 3 and you get
100 - 90 = 10.
55 - 10 = 45
Solution:
Let, the longer part be = x
ATQ,
Shortest part = 2x/3
∴ x + (2/3)x = 85m
⇒ (3x + 2x)/3 = 85
⇒ 5x/3 = 85
⇒ 5x = 85 × 3
⇒ 5x = 255
⇒ x = 255/5
∴ x = 51m
