SSC CGL

2025

First Shift

English Comprehension 25

All Questions 25 Active Passive Voice 2 Antonyms 1 Direct Indirect Speech 3 Error Spotting 2 Fill in the Blanks 1 Idioms 1 One Word Substitution 2 Para Jumbles 2 Reading Comprehension 5 Sentence Improvement 1 Spelling Correction 2 Synonyms 2 Vocabulary 1

General Awareness 25

All Questions 25 Art and Culture 4 Biology 1 Books and Authors 1 Current Affairs 1 Economy 5 Government Schemes 1 History 4 Polity 3 Science and Technology 1 Sports 4

Mathematics 25

All Questions 25 Algebra 2 Coordinate Geometry 2 Geometry 4 Heights and Distances 1 Mensuration 5 Profit and Loss 1 Ratio and Proportion 1 Simple Interest 2 Simplification 3 Time and Work 1 Trigonometry 3

Reasoning 25

All Questions 25 Arithmetical Reasoning 2 Blood Relations 2 Cause and Effect 1 Classification 2 Coding-Decoding 2 Data Checking 2 Inequalities 1 Letter Series 2 Mathematical Operations 5 Number Series 2 Statement and Assumption 1 Statement and Conclusion 2 Word Formation 1

Mathematics

Algebra

EN हिंदी

✕

SSC CGL 2025 First Shift 📅 17 Sep, 2025

If a + b = 5 and ab = 6, Find: (a³ + b³)² - 9a²b²(a + b)²

A

-6875

B

6875

C

-3876

D

3876

Result Summary

APEDIA

SSC CGL

2025 • 17 Sep, 2025 • First Shift

If a + b = 5 and ab = 6, Find: (a³ + b³)² - 9a²b²(a + b)²

Correct Answer

-6875

(a³+b³)² = [(5)³ - 3(6)(5)]² = [125 - 90]² = 35² = 1225. 9a²b²(a+b)² = 9(36)(25) = 8100. 1225 - 8100 = -6875.[span_50](start_span)[span_50](end_span)...

💡 Analysis & Explanation

Introduction ▼

(a³+b³)² = [(5)³ - 3(6)(5)]² = [125 - 90]² = 35² = 1225. 9a²b²(a+b)² = 9(36)(25) = 8100. 1225 - 8100 = -6875.[span_50](start_span)[span_50](end_span)