Mensuration Model Questions Set 2 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) a is a factor of d
(b) a is a factor of c
(c) a is a factor of b
(d) d is a factor of a
The correct answers to the above question in:
Answer: (a)
Since we are given that a and c are co-prime i.e. HCF of a and c is 1, therefore we can say that a definitely divides d exactly.
So, a is a factor of d.
Discuss Form
Read more model questions set 2 Based Quantitative Aptitude Questions and Answers
Question : 1
ABC and XYZ are two similar triangles with ∠C = ∠Z, whose areas are respectively 32 $cm^2$ and 60.5 $cm^2$ . If XY = 7.7 cm, then what is AB equal to?
a) 6.0 cm
b) 5.6 cm
c) 5.8 cm
d) 6.2 cm
Answer »Answer: (b)
We know that when two triangles are similar then ratio of their areas is equal to square of corresponding sides.
${\text"area of ΔABC"}/{\text"area of ΔXYZ"} = {AB^2}/{XY^2} ⇒ {32}/{60.5} = {AB^2}/{(7.7)^2}$
⇒ ${32 × 59.29}/{60.5} = AB^2 ⇒ 31.36 = AB^2$
∴ AB = $√{31.36}$ = 5.6 cm
Question : 2
In the figure given above, C and D are points on the semi-circle described on AB as diameter. If ∠ABD = 75° and ∠DAC = 35°, then what is the ∠BDC?
a) 90°
b) 130°
c) 110°
d) 100°
Answer »Answer: (b)
Since, DADB is a right angled triangle at D.
∴ ∠DAB = 180° – (90° + 75°)
⇒ ∠DAB = 15°
Also, ABCD is cyclic quadrilateral.
∴ ∠CAB + ∠BDC = 180°
⇒ ∠BDC = 180° – (35° + 15°) = 130°
Question : 3
The probability that at least one of the events A and B occurs is 0.7 and they occur simultaneously with probability 0.2. Then P($\ov{A}$) + P($\ov{B}$) =
a) 0.6
b) 1.1
c) 1.8
d) 0.4
Answer »Answer: (b)
We have P (A ∪ B) = 0.7 and P (A ∩ B) = 0.2
Now, P(A ∪ B) = P(A) + P(B) - P (A ∩ B)
⇒P(A) + P(B) = 0.9⇒1-P($\ov{A}$) + 1 - P($\ov{B}$) = 0.9
⇒P($\ov{A}$) + P($\ov{B}$) = 1.1
Question : 4
If a square of side x and an equilateral triangle of side y are inscribed in a circle, then what is the ratio of x to y ?
a) $3/√2$
b) $√{2/3}$
c) $√{3/2}$
d) $√2/3$
Answer »Answer: (b)
Let Radius of circle be r
Case I (Square)
side = x
$x^2 + x^2 = (2r)^2$
$2x^2 = 4r^2$
x = $√2$r
Case II (equilateral triangle)
y cos30° = h
y × $√3/2$ = h
r = $2/3 × √3/2$ y
r = $y/√3$
[if h= 3 r = 2]
$y/{2r} = √3/2$
y = ${2 √3r}/2 = √3r$
$x/y = {√2 r}/{√3 r} = √{2/3}$
Question : 5
What is the area of the largest circular disc cut from a square of side $2/√π$ units?
a) $π^2$ square units
b) π square units
c) 1 square unit
d) 2 square units
Answer »Answer: (c)
Side of square = $2/√π$
radius of circular disc = $2/√π × 1/2 = 1/√π$
area of disc = $π r^2 = π (1/√π)^2$ = 1 unit 2
Question : 6
In the figure given above, what is ∠CBA?
a) 50°
b) 30°
c) 45°
d) 60°
Answer »Answer: (d)
The sum of opposite angles in cyclic quadrilateral is always 180°.
∴ ∠ACQ + ∠APQ = 180°
75° + ∠APQ = 180°
∴ ∠APQ = 180° – 75° = 105°
∠ACQ + ∠QCR = 180° (∵ Straight line)
75° + ∠QCR = 180°
∠QCR = 180° – 75° = 105°
∠CQR = 180° – 105° – 30° = 45°
Since, ∠APQ + ∠BPQ = 180° (Straight line)
∴ 105° + ∠BPQ = 180°
∠BPQ = 75°
In ΔBPQ ∠B + ∠P + ∠Q = 180°
∠B + 75° + 45° = 180°
⇒ ∠B = 60° ∴ ∠CBA = 60°
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 »