0
0

Marks & Exams

Introduction

Aptitude tests में बहुत सारे questions marks और exams पर आधारित होते हैं। ये questions percentage of marks obtained, total marks और passing marks पर depend करते हैं।

ऐसे questions practical होते हैं क्योंकि ये real exam scoring जैसी situations दिखाते हैं। Simple percentage formulas का उपयोग करके इन्हें आसानी से step-by-step solve किया जा सकता है।

Pattern: Marks & Exams

Pattern

मुख्य idea: Marks obtained = (Percentage ÷ 100) × Total marks

Pass marks निकालने के लिए, question के हिसाब से obtained marks और pass marks के बीच का अंतर जोड़ते/घटाते हैं।

Fail/Pass difference वाले questions में Pass marks = Total marks × (Pass% ÷ 100).

Step-by-Step Example

Question

एक छात्र total marks का 40% score करता है और 20 marks से fail हो जाता है। Pass percentage 50% है। Exam के total marks निकालो।

Solution

  1. Step 1: Total marks को variable से represent करो

    मान लो total marks = M.

  2. Step 2: Student के obtained marks निकालो

    Marks obtained = (40/100) × M = 0.4M

  3. Step 3: Pass marks निकालो

    Pass marks = (50/100) × M = 0.5M

  4. Step 4: Fail condition apply करो

    Pass marks - Obtained marks = 20 → 0.5M - 0.4M = 20

  5. Step 5: Equation solve करो

    0.1M = 20 → M = 20 ÷ 0.1 = 200

  6. Final Answer:

    200

  7. Quick Check:

    Student’s marks = 40% of 200 = 80
    Pass marks = 50% of 200 = 100
    Difference = 20 ✔

Quick Variations

कभी-कभी question में marks scored और pass marks दिए होते हैं और percentage पूछी जाती है। तब use करें: (Marks scored ÷ Total marks) × 100

अगर student X marks से pass होता है, तो condition होगी: Obtained marks - Pass marks = X

Trick to Always Use

  • Step 1: Total marks = M मान लो।
  • Step 2: Student के marks percentage से लिखो।
  • Step 3: Pass marks percentage से लिखो।
  • Step 4: Pass/Fail condition apply करो।
  • Step 5: Solve करके verify करो।

Summary

Summary

  • Formula: Marks = (Percentage ÷ 100) × Total marks
  • Pass marks = (Pass% ÷ 100) × Total marks
  • Fail condition → Pass marks - Obtained marks = Difference
  • Pass condition → Obtained marks - Pass marks = Difference

याद रखने वाला example: Total marks = 200 जब 40% वाले student को 20 marks से fail किया गया हो और pass% = 50%

Practice

(1/5)
1. A student scores 180 marks out of 300. Find his percentage.
easy
A. 55%
B. 60%
C. 58%
D. 62%

Solution

  1. Step 1: Apply the percentage formula

    Percentage = (Obtained ÷ Total) × 100 → (180 ÷ 300) × 100.

  2. Step 2: Calculate the percentage

    180 ÷ 300 = 0.6 → 0.6 × 100 = 60%.

  3. Final Answer:

    60% → Option B

  4. Quick Check:

    10% of 300 = 30 → 6 × 30 = 180 ✅
Hint: Divide obtained by total, then multiply by 100.
Common Mistakes: Swapping numerator/denominator (using Total ÷ Obtained).
2. If pass marks are 40% of 200, what are the pass marks?
easy
A. 80
B. 70
C. 90
D. 100

Solution

  1. Step 1: Use the pass marks formula

    Pass marks = (Pass% ÷ 100) × Total → (40 ÷ 100) × 200.

  2. Step 2: Compute the value

    0.4 × 200 = 80.

  3. Final Answer:

    80 → Option A

  4. Quick Check:

    10% of 200 = 20 → 4 × 20 = 80 ✅
Hint: Convert percent to decimal (40% → 0.4) then multiply by total.
Common Mistakes: Using 40 instead of 0.4 in multiplication (gives 8, wrong scale).
3. A student scored 300 out of 500 and passed by 50 marks. Find the pass percentage.
medium
A. 45%
B. 48%
C. 50%
D. 52%

Solution

  1. Step 1: Determine pass marks using the margin

    Student scored 300 and passed by 50 → Pass marks = 300 - 50 = 250.

  2. Step 2: Convert pass marks to percentage

    Pass% = (Pass marks ÷ Total) × 100 = (250 ÷ 500) × 100 = 50%.

  3. Final Answer:

    50% → Option C

  4. Quick Check:

    250 is half of 500 → 50% ✅
Hint: Pass marks = obtained - margin; then (pass ÷ total) × 100.
Common Mistakes: Adding the margin instead of subtracting when interpreting 'passed by'.
4. A boy scored 35% of 400 marks. How many marks did he score?
medium
A. 140
B. 135
C. 130
D. 145

Solution

  1. Step 1: Apply the marks formula

    Marks = (Percent ÷ 100) × Total → (35 ÷ 100) × 400.

  2. Step 2: Compute marks obtained

    0.35 × 400 = 140.

  3. Final Answer:

    140 → Option A

  4. Quick Check:

    10% of 400 = 40 → 30% = 120, 5% = 20 → total = 140 ✅
Hint: Split 35% into 30% + 5% for mental math.
Common Mistakes: Multiplying by 35 instead of 0.35 (gives 14000).
5. A student secures 360 marks out of 600. If pass marks are 50%, find by how many marks he passed.
medium
A. 40
B. 50
C. 60
D. 70

Solution

  1. Step 1: Compute pass marks

    Pass marks = 50% of 600 = (50 ÷ 100) × 600 = 300.

  2. Step 2: Find how many marks above pass

    Difference = 360 - 300 = 60.

  3. Final Answer:

    60 → Option C

  4. Quick Check:

    360 is 60 more than 300 → passed by 60 marks ✅
Hint: Find pass threshold first, then subtract from obtained marks.
Common Mistakes: Calculating pass% incorrectly (e.g., using 60% instead of 50%).

Mock Test

Ready for a challenge?

Take a 10-minute AI-powered test with 10 questions (Easy-Medium-Hard mix) and get instant SWOT analysis of your performance!

10 Questions
5 Minutes