if abc is a quarter circle and a circle is inscribed in it and AB=1.find radius of smaller circle
FOR figure ques no-13 geometry lod-2 arun sharma..
if abc is a quarter circle and a circle is inscribed in it and AB=1.find radius of smaller circle
FOR figure ques no-13 geometry lod-2 arun sharma..
Four runners take turn to run around a 400 m rectangular race course such that one runner runs across one side only. They run with speeds of 'a' m/s, 'b' m/s, 'c' m/s,'d' m/s, though not necessarily in that order. The values of a, b, c and d are four consecutive numbers such that only one number among a, b, c and d is composite number. What is minimum time (t min) in which the four runners can cover the whole distance (tmin is an integer)?
124 s
113 s
149 s
92 s
None of these
A goes to buy fruits and is able to get the prize of a dozen apples reduced by Re1 from the initial price, thereby enabling him to get 1 apple extra for every rupee saved. What's the initial price?
Post the solution plz.
a)10 b)13 c)12 d)15
Arnold starts a simple calculation. He multiplies the integers 1, 2, 3,âŚn taking two at a time and adds up the products. If n is 12, the final sum will be
There are 6 cities, of which each is directly connected to every other city. How many different routes can one trace from city A to city B, such that no city is touched more than once in any one route?
48
60
65
72
100
Vartika, Tripti and Rajvalli divided some number of laddoos among themselves in the ratio of 14 : 40 : 27. Since Rajvalli was not happy with the division, they revised the division to 19 : 55 : 37. How many laddoos did Rajvalli gain from this division?
10
27
No gain no loss
37
Indeterminate
There are five concentric squares, if the area of the circle inside the smallest square is 77 square units and the distance between the corresponding corners of consecutive squares id 1.5 units , fine the difference in the areas of the outermost and innermost squares ?
A double decked bus can accommodate 110 passangers 50 in the upper ... 10 passengers refuse to sit in the lower deck and 15 refuses in upper ...in how many ways passengers can be accomodated
A spherical peer of radius 4 cm is to be divided into eight equal parts by cutting it in halves along the same axis. find the surface area of each of the final piece ?
20pie
25pie
24pie
19pie
@scrabbler sir , i can't able to visualize the figure formed , pls explain me
A solid metal is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius , that is 1/9th the larger sphere . if 10 litres of paint were needed to paint the largerb sphere , how many litres of paint were needed to paint all the smaller spheres ?
90
81
900
810
just for practice đ đ
A chord AB of a circle of radius 5.25 cm makes an angle 60 at the center of the circle. find the area of major and minor segments ?
Mr. x a very industrious person, wants to establish his own unit . For this he need an instant loan of rs 5,00,000 and every five year he requires an additional loan of Rs. 100,000. if he had to clear all his outstanding in 20 years and he repays the principal of the firs loan equally over the 20 years, find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10%p.a. simple interest
a. 560,000 b. 540,000 c. 525,000 d. 500,000 e. None of these
Rajiv lend out Rs.9 to anni on condition that the amount is payable in 10 months by 10 equal installments of Re.1 each payable at the start of every month.What is the ROI per annum if 1st installment has to be paid 1 month from the date loan is availed.
Oblique cylinder - Math Open Reference go through this may be helpful for u guys đ @Dexian @Dazed-Confused @pratskool
In how many ways numbers less than 1000 will have digit sum equal to 12?
x^8 + 1/x^8=2207. Find the value of x+1/x/
The answer is 3. How do I solve this question?
A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is:
(A) 1 : 2
(B) 2 : 1
(C) 1: SQRT(2)
(D) SQRT(2):1
x^8 + 1/x^8=2207. Find the value of x+1/x/ The answer is 3. How do I solve this question?
x^8 + 1/x^8 = 2207
add 2 on both sides ==>
x^8 + 1/x^8 + 2 = 2209 which an also be written as
x^8 + 1/x^8 + 2(x^8*1/x^8) = (47)^2
which an also be written as
( x^4 + 1/x^4)^2 = (47)^2x^4 + 1/x^4 = 47
adding 2 on both sides again
x^4 + 1/x^4 + 2(x^4*1/x^4) = 47 + 2
which an also be written as
(x^2 + 1/x^2)^2 = (7)^2
x^2 + 1/x^2 = 7
for practice đ
previous year CAT questions