Quiz

Question: The interior angles of a polygon are in AP. If the smallest angle is 120 and the common difference is 5, then find the possible number of sides of that polygon?
Options:
A.16
B.9
C.Both a and b
D.None of these
Answer: Option B
: B

Sum of the interior angles of a polygon = (n-2) 180 n2 * (2a+ (n-1)d)= (n-2)180 n2* [2*(120) + (n-1)5]=(n-2)180 n[48+(n-1)] = (n-2)72 n2 -25n + 144=0 n=9 and n=16 when n= 16, the greatest angle will be equal to a+15d = 120 + 15 x 5 = 195 and no interior angle of a polygon can be equal to or greater than 180. hence answer =b

Submit Answer & Explaination

Earn Reward Points by submitting Detailed Explaination for this Question

More Questions on This Topic :

Question 1. Concentric circles are drawn with radii 1, 2, 3 … 100. The interior of the smallest circle is colored black and the annular regions are colored alternately red and black, so that no two adjacent regions are the same color. The total area of the red regions divided by the area of the largest circle is
  1.    12
  2.    51100
  3.    101200
  4.    50101
Answer: Option C
: C

Areas of circles follow the sequence 1,4,9,16,…………1002 Areas of Black & Red annuals – 1,3,5,7,9……………199 – General term 2n – 1 Red annuals – 3, 7, 11, …………….. 199 Sum = (502)*(3 + 199) Largest circle’s area = 1002 Ratio = 101200 Note : Ignore pi as it is a ratio of areas Shortcut: Reverse gear approach – We know that the denominator is 1002 and num is an integer, hence the denominator cannot be 101 as it is in no-way a factor of 10000. Hence option d) has been eliminated. We need to find R(R+B). R + B = 10000. Each of the red annual is greater in area by 2 units than the subsequent black annual and there are 50 such cases. Hence R = 5050 and B = 4950. R(R+B). = 505010000 = 101200
Question 2. Find the side of a piece of cloth in the shape of an equilateral triangle, whose area costs as much to paint at Rs 10/ square metre as it would cost to lay a border around the three sides at Rs 25 per metre?
  1.    13.33 m
  2.    17.32 m
  3.    14.14 m
  4.    8.66 m
Answer: Option B
: B

Option (b) Perimeter = 3a Area = 34a2 10x34a2= 25x3a a=303= 17.32 m
Question 3. In Δ ABC, D,E and F are taken on AB, AC and BC respectively, so that EF=CF and DF=BF. If A=40, then find DFE?

 
  1.    100∘
  2.    120∘
  3.    90∘
  4.    140∘
Answer: Option A
: A

Option (a) Take DBF = a and ECF = b.
40 +
a + b = 180 a + b= 140
DFB + EFC + DFE = 180 180 – 2a + 180 – 2b + DFE = 180 180 – 2(a + b) = - DFE
DFE = 280 – 180
= 100
Question 4.  There is a circle of radius 10 units that circumscribes an equilateral triangle. A quadrilateral is drawn by joining mid-points of two adjacent sides of the triangle. Find the area of the quadrilateral
  1.    225√32
  2.    225√34
  3.    225√38
  4.    225√312
Answer: Option B
: B

In an equilateral triangle circum radius = 23 h, 10 = 23 * 32S Side = 10\(\sqrt3\) units. Area of Triangle = 34(103)2 By graphical division, we need 34th of the area of the triangle =34×34×(103)2 = 22534
Question 5. What is the circumradius of a triangle whose sides are 7, 24 and 25 respectively?
  1.    18
  2.    12.5
  3.    12
  4.    14
Answer: Option B
: B

Option b
It’s important that we note that it is a Pythagoras triplet 72 = 252+242 Now, In a right-angled triangle, the median to the hypotenuse is half the hypotenuse and is also the circum radius of the triangle. As the hypotenuse is 25, the circum radius is 12.5
Question 6. What is the maximum number of times x circles of the same size can intersect each other?
  1.    2x
  2.    (x - 1)
  3.    x(x-1)
  4.    x(x+1)/2
Answer: Option C
: C

Deducing a Pattern: Taking two circles. The number of points of intersection is 2 at most. If u consider 3 circles, the number of points of intersection = 6 ( the third circles will have 4 points of intersection with the other 2 circles and those two circles will have 2 points together). Shortcut:- Assumption & Reverse Gear: Taking two circles. The number of points of intersection is 2 at most. From this itself, option a, b and d can be eliminated giving answer c.

Check all Questions in this Topic : Click HERE

Recent Questions

Q. Most Of The Radiation Emitted By A Human Body Is In The Form....Q. Find The Missing Term: 11, 10, ?, 100, 1001, 1000, 10001....Q. The Degree And Order Of The Differential Equation Of The Fam....Q. SUM, AVG, MIN, And MAX Can Only Be Used With Numeric Columns....Q. The Function Of Cutting Oil When Threading A Pipe Is To....Q. In Index Of Financial Inclusion Has Been Launched For The Fi....Q. The Working Pressure And Temperature Inside The Cylinder Of ....Q. In Case Of __________ Boiling, The Liquid Temperature Is Bel....Q. The Product Of Mass And Acceleration Of Flowing Liquid Is Ca....Q. The Maximum Count Which A 6-bit Binary Word Can Represent Is....Q. I Have A Bone To Pick With You In This Matter.....Q. Rosin Soap Is Added During Paper Manufacture To....Q. Break-even Analysis Consists Of....Q. ___________ Has A Grammar But Unlike Traditional (X)HTML It ....Q. Verification Of Financial Statements Is....Q. The First Step Of The Implementation Phase Is....Q. Which Of The Following Material Of Construction May Be Recom....Q. A Man Goes From Mysore To Bangalore At A Uniform Speed Of 40....Q. Which Of The Following Liquids Has The Least Density ?....Q. What Estimate Would You Give For The Variance In Above Probl....Q. Write The coefficients And Terms Of The Algebraic Expre....Q. 10−4 G Of Gelatin Is Required To Be Added To 100 Cm3&....Q. In Case Of A Hammer Crusher, The....Q. Constituents Of Stellite Are....Q. Flooding In A Vapor-liquid Contacting Equipment Occurs In A ....Q. Parasitic Disease is ___ limiting Population.....Q. The Percentage Of Voids In Cement Is Approximately....Q. The Average Thickness Of Ozone Layer In Stratosphere Is Abou....Q. The Constitution Provides Prohibition Of Traffic In Human Be....Q. The Common Name For The Crime Of Stealing Passwords Is:....Q. __________ Of Depreciation Calculation Does Not Take Into Ac....Q. A Quantity Whose Dimensions Are M2l2t3 could Be The Product....Q. Line AB Is A Line Of Symmetry. True Or False.....Q. Which Of The Following Right Has Been Removed From Fundament....Q. Suppose A Is An Abstract Class, B Is A Concrete Subclass Of ....Q. Directions : In Each Of The Following Questions A Statement ....Q. The Vapour Pressure Over The Concave Surface Is....Q. When You P : Which One Is Closest In Meaning Q : Read The Fo....Q. Synonym Of DEAR....Q. If Concentration Of OH−ions In The Reaction  Fe(....Q. Directions : In Each Of The Following Questions A Statement ....Q.  who Launched Ibm's First Pc In 1981?....Q. The Bond Dissociation Energy Of H - H, C - C, And C - H Bond....Q.  a Square Room Has A Verandah Of Uniform Width Of 3m Around....Q. The Factors Which Are To Be Considered While Developing A Go....Q. To Update An SQL View, The DBMS Must Be Able To Associate Th....Q. A Circle Has A Circumference Of 70 Meters. Find Its Area. [2....Q. In Any A.C. Circuit Always....Q. The Function Of King Post In A King Post Roof Truss Is....Q. For External Style Sheets In Some Cases When @import Is Used....