বিগত সালের প্রশ্ন ও প্রশ্ন ব্যাংক
বিসিএস, ব্যাংক, প্রাথমিক শিক্ষক ও সকল সরকারি চাকরির বিগত সালের প্রশ্ন ও অধ্যায়ভিত্তিক নির্ভুল সমাধান
Solution:
The given condition is,
⇒ A + B = (B + C) + 15
⇒ A + B = B + C + 15
⇒ A + B - B - C = 15
⇒ A - C = 15
⇒ C = A − 15
∴ C is 15 years younger than A.
Solution:
Let the mother's present age be x years.
Then, the person’s present age = (2/5)x years.
According to the question:
After 8 years:
(2x/5) + 8 = (1/2)(x + 8)
Multiply both sides to eliminate fractions:
(2x + 40) / 5 = (x + 8) / 2
⇒ 2(2x + 40) = 5(x + 8)
⇒ 4x + 80 = 5x + 40
⇒ 80 - 40 = 5x - 4x
⇒ x = 40
✅ Mother’s present age = 40 years
Problem: Seven years ago, Arun's age was 6x years and Ashok's age was 8x years. Their current age difference is 12 years. Find Ashok's present age.
Solution:
Let,
7 years ago:
Arun's age = 6x
Ashok's age = 8x
At present:
Arun = 6x + 7
Ashok = 8x + 7
Given that the current age difference is 12 years:
(8x + 7) − (6x + 7) = 12 ⇒ 8x + 7 − 6x − 7 = 12 ⇒ 2x = 12 ⇒ x = 12 ÷ 2 ⇒ x = 6
Therefore,
Ashok's present age = 8x + 7 = 8 × 6 + 7 = 55 years
Problem:
The ratio of present ages of Moni and Roni is 6 : 5. After 10 years, the ratio becomes 8 : 7. Find the difference in their present ages.
Step-by-Step Solution:
Step 1: Let the present ages be:
Moni = 6x
Roni = 5x
Step 2: After 10 years:
Moni = 6x + 10
Roni = 5x + 10
Given ratio:
(6x + 10) / (5x + 10) = 8 / 7
Step 3: Cross multiplying:
7(6x + 10) = 8(5x + 10)
42x + 70 = 40x + 80
42x - 40x = 80 - 70
2x = 10 → x = 5
Step 4: Their current ages:
Moni = 6 × 5 = 30 years
Roni = 5 × 5 = 25 years
✅ Final Answer: Difference = 30 − 25 = 5 years
Problem:
The ratio of present ages of P and Q is 3 : 4. Four years hence, this ratio would become 4 : 5. Find the present age of Q.
Step-by-Step Solution:
Let P's present age = 3x and Q's present age = 4x.
After 4 years, their ages will be:
P = 3x + 4
Q = 4x + 4
According to the problem, the new ratio is:
(3x + 4) / (4x + 4) = 4 / 5
Cross-multiplying gives:
5(3x + 4) = 4(4x + 4)
15x + 20 = 16x + 16
Simplifying:
15x - 16x = 16 - 20
-x = -4 → x = 4
Therefore, Q's present age = 4x = 4 × 4 = 16 years.
✅ Final Answer: Q is 16 years old.
Problem:
Jobin is one year older than three times Lina's age. If their ages currently add up to 33 years, then how old will Jobin be in 4 years?
Step-by-Step Solution:
Let Lina's current age be: x
Then, Jobin's current age = 3x + 1
According to the problem:
x + (3x + 1) = 33
⇒ 4x + 1 = 33
⇒ 4x = 32
⇒ x = 8
Lina's age = 8 years
Jobin's current age = 3×8 + 1 = 25 years
So, Jobin's age in 4 years = 25 + 4 = 29 years
✅ Final Answer: Jobin will be 29 years old in 4 years.
Solution:
ধরি, লোকটির বর্তমান বয়স = x বছর
প্রদত্ত শর্ত,
⇒ 4(x + 4) − 4(x − 4) = x
⇒ 4x + 16 − 4x + 16 = x
∴ x = 32
∴ লোকটির বর্তমান বয়স = x = 32 বছর
• Phonetics is concerned with - Pronunciation
• ‘Phonetics’: (ভাষার ক্ষেত্রে) যে বানানপদ্ধতি শব্দের/উচ্চারণের সঙ্গে সঙ্গতিপূর্ণ।