mensuration area volumes Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Linear Equations
Squareroots & Cuberoots
ABC is an equilateral triangle and X,Y and Z are the points on BC, CA and AB respectively such that BX = CY = AZ. Which of the following is/are correct?
- XYZ is an equilateral triangle.
- Triangle XYZ is similar to triangle ABC.
Answer: (a)
Let ABC be an equilateral triangle and x, y, z are points on BC, CA and AB.
Also given
BX = CY = AZ
Since ∠A = ∠B = ∠C = 60° (Equilateral triangle)
⇒ If BX = CY
⇒ ∠X = ∠Y
BX = AZ
⇒ ∠X = ∠Z
Also If ∠Y = Az
⇒ ∠Y = ∠Z
⇒ ∠X = ∠Y = ∠Z = 60°
Δ XYZ is an equilateral triangle.
Consider triangle Δ ABC and ΔXYZ
Since ∠X = ∠Y = ∠Z = 60°
and ∠A = ∠B = ∠C = 60°
⇒ ΔABC ∼ ΔXYZ ∼ by AA similarity criterion
∴ Option (a) is correct.
AB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle?
Answer: (a)
Given that AB = 4 cm and CD = 10 cm, let the radius of the circle be r cm.
Since the perpendicular from the center of a circle to a chord bisects the chord, therefore AO = OB = 2 cm and CP = PD = 5 cm.
In ΔAOX, by Pythagoras theorem, we have
$2^2 + (3 + x)^2 = r^2 ⇒ 4 + 9 + 6x + x^2 = r^2$ ...(1)
Similarly, in ΔCPX, we have
$5^2 + x^2 = r^2 ⇒ 25 + x^2 = r^2$ ...(2)
Equation (1) and (2) gives
$4 + 9 + 6x + x^2 = 25 + x^2 ⇒ 13 + 6x = 25 ⇒ 6x$
= 12 ⇒ x = 2
Now, equation (2) gives
25 + 4 = $r^2 ⇒ r^2 = 29 ⇒ r = √{29}$ cm
Let A and B be two points. What is the locus of the point P such that ∠APB = 90°?
Answer: (a)
Hence, the locus of a point is the circumference of the circle with AB as diameter.
What is the volume (in cu cm) of a spherical shell with 8 cm and 10 cm as its internal and external diameters respectively?
Answer: (a)
Volume of a spherical shell
= $4/3 π(R^3 - r^3)$
= $4/3 π(5^3 - 4^3)$
= $4/3$ π × 61
= ${244π}/3$
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal to
Answer: (c)
Since interior angle of the regular polygon = 140°
Hence exterior angle = 180° – 140° = 40°
∴ No. of sides = ${360°}/{\text"Exterior angle"} = {360}/{40}$ = 9
∴ No. of vertices or sides = 9
∴ Option (b) is correct.
ssc cgl tier 1 2023 IMPORTANT QUESTION AND ANSWERS
-
Profit and Loss Questions & Answers For SSC CGL Tier 1 2023 »
-
200+ Average Questions and Answers For SSC CGL Tier 1 2023 »
-
250+ Simple and Compound Interest Problems For SSC CGL 2023 »
-
Square Root & Cube Root Questions and Answers For SSC CGL »
-
Number System Aptitude Questions Answers Test SSC CGL 2023 »
-
Mastering Time and Distance MCQs PDF for SSC CGL Tier 1 2023 »
-
150+ Linear Equations Practice MCQ Test For SSC CGL 2023 »
-
Percentage Questions Solved Problems For SSC CGL Tier 1 2023 »
-
Top Ratio and Proportion Aptitude Questions For SSC CGL 2023 »
-
Top 150+ Algebraic Expressions MCQ Test For SSC CGL 2023 »
-
New Mensuration 2D & 3D Shapes Questions For SSC CGL 2023 »
-
299+ Time And Work Aptitude MCQ Test for SSC CGL TIER 1 2023 »
ssc cgl tier 1 2023TOPICS
Read More
ssc cgl tier 1 2023 2024 SYLLABUS
Read More
ssc cgl tier 1 2023 2024 NOTIFICATION
Read More
All Exams
-
SSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
BANKING
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
TNPSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »