Mensuration Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 2 EXERCISES
The following question based on Mensuration topic of quantitative aptitude
(a) 150 $m^2$
(b) 154 $cm^2$
(c) 308 $m^2$
(d) None of these
The correct answers to the above question in:
Answer: (b)
Area of the shaded portion
= $1/4 × π (14)^2$
= 154 $m^2$
Discuss Form
Read more model questions set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
Consider a circle C of radius 6 cm with centre at O. What is the difference in the area of the circle C and the area of the sector of C subtending an angle of 80º at O?
a) 28π $cm^2$
b) 26π $cm^2$
c) 16π $cm^2$
d) 30π$cm^2$
Answer »Answer: (a)
Radius of circle, r = 6 cm
∴ Area of circle = $πr^2 = π × 6^2 = 36π cm^2$
and Area of sector subtending an angle of 80° at O
= ${π r^2 θ}/{360°} = {π × 6^2 × 80°}/{360°} = 8 π cm^2$
∴ Required difference = 36π – 8π = 28π $cm^2$
Question : 2
The medians of ΔABC intersect at G. Which one of the following is correct?
a) Three times the area of ΔAGB is equal to the area of ΔABC
b) Five times the area of ΔAGB is equal to four times the area of ΔABC
c) Four times the area of ΔAGB is equal to three times the area of ΔABC
d) None of the above
Answer »Answer: (a)
Suppose ΔABC is an equilateral triangle.
A median divides an equilateral triangle into the three equal area of triangles.
ΔAGB = ar ${(ΔABC)}/3$ = ar BGC = ar ΔAGC
∴ ar ΔAGB = $1/3$ ΔABC.
Question : 3
In the figure given below, PQ is parallel to RS and PR is parallel to QS. If ∠LPR = 35° and ∠ UST = 70°, then what is ∠MPQ equal to ?
![mensuration area and volume aptitude mcq 21 50](https://careericons.com/adminicon/bunch/images/mensuration-area-and-volume-aptitude-mcq-21-50.png)
a) 75°
b) 55°
c) 70°
d) 80°
Answer »Answer: (a)
PQ || RS
PR|| QS
∴ PQRS is a || gm
∠LPR = 35° and ∠UST = 70°
∠UST = ∠RSQ (Vertically opposite)
∠RSQ = ∠RPQ (opposite angle of 11 gm)
∠LPR + ∠RPQ + ∠MPQ = 180°
35° + 70° + ∠MPQ = 180°
∠MPQ = 180 – 105
∠MPQ = 75°
Question : 4
Let AB and AC be two rays intersecting at A. If D, E be the points lying on AB, AC respectively and P be the point such that P divides the line DE such that PD : PE = AD : AE. Then, what is the locus of the point P?
a) The perpendicular bisector of angle A
b) The angle bisector of angle A
c) The angle trisector of angle A
d) None of the above
Answer »Answer: (b)
Since, ${PD}/{PE} = {AD}/{AE} = {AP}/{AP}$
ΔDAP and ΔAPE are similar. So, ∠1 = ∠2
AP is bisector of ∠A.
Hence, the locus of P is the bisector of angle A.
Question : 5
The curved surface area of a right circular cone is 1.76 $m^2$ and its base diameter is 140 cm. What is the height of the cone?
a) 20 $√2$ cm
b) 10 cm
c) 10 $√2$ cm
d) 10 $√{15}$ cm
Answer »Answer: (d)
Radius of cone = ${140}/2 = 70 cm = {70}/{100}$ = 0.7m
Curved surface are = πrl = 1.76 $m^2$
${22}/7$ × 0.7 × l = 1.76
l = ${1.76 × 7}/{22 × 0.7}$ = 0.8m = 80 cm
height of cone = $√{l^2 - r^2} = √{80^2 - 70^2}$
= $√{1500} = 10√{15}$ cm
Question : 6
A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
a) 53.5 $m^2$
b) 49 $m^2$
c) 50 $m^2$
d) 55 $m^2$
Answer »Answer: (b)
Area of the wet surface = [2(lb + bh + lh) – lb]
= 2(bh + lh) + lb
= [2(4 × 1.25 + 6 × 1.25) +6 × 4] $m^2 = 49 m^2$.
GET Mensuration PRACTICE TEST EXERCISES
Mensuration Model Questions Set 1
Mensuration Model Questions Set 2
Mensuration Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »