SSC

Explore popular questions from Geometry for SSC. This collection covers Geometry previous year SSC questions hand picked by experienced teachers.

SUBJECT / TOPIC

Quantitative Aptitude

Geometry

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Quantitative Aptitude

Ratio and Proportion Time and Work Boat and Stream Statistics & Data Interpretation Pipe and Cistern Quadratic Equations Quadrilateral and Parallelogram Area and Perimeter Number System Approximation Trigonometric Ratios Polynomials Compound Interest Algebra Triangles Power, Indices and Surds Percentage Simple Interest Time and Distance Volume and Surface Area Quantitative Aptitude Factorisation Mensuration LCM and HCF Average Profit and Loss Circles Height and Distance Simplification Discount Trigonometry Geometry Set Theory Sequence and Series Miscellaneous Straight Lines Logarithms Partnership Simple and Decimal Fraction Mixture and Alligation

English Comprehension

English Comprehension Selection of misspelt word/ correctly spelt word Miscellaneous Synonyms Antonyms Improvement of Sentences Transformation of Sentences (Active/Passive) Common Errors Fill in the Blanks One word substitution Cloze Test Arrangement of Sentences Idioms/ Phrases Direct/ Indirect Speech General English Comprehension Test

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Economics Personalities Physical Geography Biology Computer and IT World Geography World Art and Culture History of India Miscellaneous National Events International Events Indian Economy Physics Geography of India Honours and Awards UNO, Other International and National Organisations Discoveries and Inventions Important Decades, Years and Days World History Sports Indian Art & Culture Science and Technology Books and Authors Science Indian Polity and Constitution Chemistry

General Intelligence and Reasoning

Arrangement of Words in a Logical Order (Alphabetical Order) Blood Relationship Mirror Image and Water Image Completion of Figural Pattern Ranking/Arrangement Verbal Analogy Verbal Series Verbal Classification Scheduled Day/Date/Time Finding the Missing Number Logical Venn-Diagram Miscellaneous Non-Verbal Classification General Intelligence and Reasoning Word Formation Deviation of Figure Coding-Decoding Syllogism, Statement & Conclusions Embedded Figure Non-Verbal Analogy or Similarity Symbols & Notations Cubes and Dices Direction & Distance Test Non-Verbal Series Arithmetic Problems Paper Cutting, Folding & Punching

Finance and Economics

Finance Economics

Statistics

Geometry

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Q 1. The in-radius of an equilateral triangle is of length {tex} 3 \mathrm { cm } . {/tex} Then the length of each of its medians is

A

{tex} 12 \mathrm { cm } {/tex}

B

{tex} \frac { 9 } { 2 } \mathrm { cm } {/tex}

C

{tex} 4 \mathrm { cm } {/tex}

{tex} 9 \mathrm { cm } {/tex}

Explanation

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Q 2. If the orthocentre and the centroid of a triangle are the same, then the triangle is :

A

Scalene

B

Right angled

Equilateral

D

Obtuse angled

Explanation

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Q 3. If {tex} \mathrm { ABC } {/tex} is an equilateral triangle and {tex} \mathrm { D } {/tex} is a point on {tex} \mathrm { BC } {/tex} such that {tex} \mathrm { AD } \perp \mathrm { BC } , {/tex} then

A

{tex} A B: B D = 1: 1 {/tex}

B

{tex} A B: B D = 1: 2 {/tex}

{tex} A B: B D = 2: 1 {/tex}

D

{tex} A B: B D = 3: 2 {/tex}

Explanation

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Q 4. In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

A

obtuse angled

B

isosceles

equilateral

D

right-angled

Explanation

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Q 5. If {tex} \mathrm { ABC } {/tex} is an equilateral triangle and {tex} \mathrm { P } {/tex},{tex} \mathrm { Q } ,\mathrm R{/tex} respectively denote the middle points of {tex} \mathrm { AB } , \mathrm { BC } , \mathrm { CA } {/tex} then.

{tex}\mathrm{PQR}{/tex} must be an equilateral triangle

B

{tex} \mathrm { PQ } + \mathrm { QR } + \mathrm { PR } = \mathrm { AB } {/tex}

C

{tex} \mathrm { PQ } + \mathrm { QR } + \mathrm { PR } = 2 \mathrm { AB } {/tex}

D

{tex}\mathrm{PQR}{/tex} must be a right angled triangle

Explanation

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Q 6. Let {tex}ABC{/tex} be an equilateral triangle and {tex}AX, BY, CZ{/tex} be the altitudes. Then the right statement out of the four given responses is

{tex} A X = B Y = C Z {/tex}

B

{tex} A X \neq B Y = C Z {/tex}

C

{tex} A X = B Y \neq C Z {/tex}

D

{tex} A X \neq B Y \neq C Z {/tex}

Explanation

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Q 7. If the three medians of a triangle are same then the triangle is

equilateral

B

isosceles

C

right-angled

D

obtuse-angle

Explanation

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Q 8. Let {tex}G{/tex} be the centroid of the equilateral triangle {tex}ABC{/tex} of perimeter {tex} 24 \mathrm { cm } . {/tex} Then the length of {tex}AG{/tex} is

A

{tex} 2 \sqrt { 3 } \mathrm { cm } {/tex}

{tex} \frac { 8 } { \sqrt { 3 } } \mathrm { cm } {/tex}

C

{tex} 8 \sqrt { 3 } \mathrm { cm } {/tex}

D

{tex} 4 \sqrt { 3 } \mathrm { cm } {/tex}

Explanation