বিগত সালের প্রশ্ন ও প্রশ্ন ব্যাংক
বিসিএস, ব্যাংক, প্রাথমিক শিক্ষক ও সকল সরকারি চাকরির বিগত সালের প্রশ্ন ও অধ্যায়ভিত্তিক নির্ভুল সমাধান
Solution:
Average = (0.36 + 4.6 + 0.64 + 2.4)/4
= 8.00/4
= 2.00
Solution:
13(x - 1) = 17(y - 1) .....(1)
⇒ 13x - 13 = 17y - 17
⇒ 13x + 4 = 17y
⇒ 4 = 17y - 13x
⇒ 4 - 4y = 13y - 13x
⇒ 4(1 - y) = 13(y - x)
Since x and y are integers, we know that (y - x) is an integer, which means 13(y - x) is a multiple of 13.
From this, we can conclude that 4(1 - y) is a multiple of 13
What is the smallest value of y (given that y is a positive integer greater than 1) such that 4(1 - y) is a multiple of 13?
If y = 14, then 4(1 - y) = 4(1 - 14) = 4(- 13) = - 52
So, y = 14 is the smallest value of y to meet the given conditions.
Now, putting the value of y = 14 in equation (1) we get,
13(x - 1) = 17(y - 1)
⇒ 13x - 13 = 17(14 - 1)
⇒ 13x = 17 × 13 + 13
⇒ 13x = 18 × 13
∴ x = 18
∴ x + y = 18 + 14 = 32
Solution:
Let the number be X
ATQ,
2X - 3 = 2 + 3X
∴ X = - 5.
Five times the number = - 25
Five less Than this = - 25 - 5 = - 30
Solution:
দেওয়া আছে
pq = 36
36 = 1 × 36
= 2 × 18
= 3 × 12
= 4 × 9
= 6 × 6
p/q = 3/12 = 1/4
p/q = 4/9
p/q = 2/18 = 1/9
p/q = 1/36
p/q = 6/6 = 1
∴ p/q = 1/2 কোনভাবেই হতে পারে না।
Solution:
The average of two numbers is M
∴ The total of two numbers is 2M
The larger number is L
∴ The other number is 2M - L
Solution:
3 + 7 + x = 18
⇒ x = 18 - 10
∴ x = 8
∴ the average of (3, 7 and 8) is = the sum of (3, 7 and 8)/3 = 18/3 = 6