An isoceles right triangle is given and a circle and 2 seperate squares are inscribed . What can be the order of their areas ?
Four boxes are labeled as A, B, C and D. Each box contains three balls - one red, one blue and onegreen. In how many ways can a person pick 2 red and 3 blue balls?
(a) 48 (b) 24 (c) 8 (d) 16
Sixteen candies are to be distributed among four boys Raja, Ram, Mohan and Roy such that eachboy receives at least one candy and no two boys receive the same number of candies. Roy shouldreceive 4 more candies than Ram. The number of candies received by Ram should be less than thatreceived by Raja but more than that received by Mohan. What is the difference between the maximumand the minimum number of candies that Raja can receive?(a) 1 (b) 2 (c) 3 (d) 4
In a village of 2029 inhabitants, at least x villagers have the same English initials for their first name and their surname. The least possible value of x is?
The no of ways of factorizing 91000 into two factors m and n,such that m>1, n>1 and gcd(m,n)=1 is
- 32
- 7
- 15
- none of these
0 voters
The number of distinct quadratic equations of the type Ax^2+Bx+C=0 that can be formed when A,B and C are selected from {1,2,3,4,5,6}.
- 216
- 120
- 181
- 198
0 voters
TF QOD
M=(2x^4-8x^3+12x^2-8x+8) / (x-1)
N=x-1. Minimum possible value of M/N if x belongs to R and not equal 1
1) sqrt(8) 2) sqrt(12) 3)2sqrt(8) 4)2sqrt(12) 5) none
Hi ,
I am new to PG. Can anyone of you explain me as to how we reached the below mentioned deduction ?
Regards,
Saksham
An isoceles right triangle is given and a circle and 2 seperate squares are inscribed . What can be the order of their areas ?
for circle 1,1,rt2
inradius=(2-rt2)/2
area=pie*r^2=.314
for second figure
triangle are 45,45,90
1/4=.25
for third figure
triangle are 45,45,90
1/2=.5
3>2>1
1 and 8 are first two natural numbers for which 1+2+3+4+...n is a perfect square . Which number is the 4th such number . Please provide a detailed the solution to this question
AB = 9C+1 where A,B,C are natural numbers and 100
x^6/9 remainder is 1 where 100
ABCD is a parallelogram. E is a point on DC extended, such that D and E are on opposite sides of BC. Let AE intersect BC and BD at F and G, respectively. If AG=180 and FG=108, what is EF?
How many numbers below 100 can be expressed as a difference of 2 perfect squares in only one way?
The number of solutions for the equation m^2= 1614 + n^2 where both m and n are integers is?
two cars a and b start from two points a and b resp. towards each other simultaneously. after travelling some distance at point r car a troubles engine trouble. it continue to travel at 2/3 of its speed to meet car b at point s where pr=qs. if the engine troubled had occured after car a had troubled double the distance it would have met car b at a point t where st=sq/9. find the ratio of speeds of a and b .
a 4:1 b 2:1 c 3:1 d 3:2
A group of N islands are connected by bridges. Each island has bridges to at most 3 other islands. One can travel between any 2 islands by crossing at most two bridges. What is the largest possible value of N? (Bridges are allowed to go over or under other bridges.)
a. 7 b. 8 c. 9 d. 10 e. 11