The root of the equation x^2+4x-5=0 are also the roots of the equations 2x^3+9x^2-6x-5=0 What is the third root of the second equation
What is the sum of the series 1/(5*8 )+ 1/(8*11) + 1/(11*14)........................+1/(242*245)
Geometry 1:
In a triangle ABC, AB = 17.5 and AC = 9 cm.
AD =3 and is perpendicular to BC.
Find the circumradius of ABC.
The lines 4x+5y=134 and y=mx+16 intersect at points whose coordinates are integers. Find the number of positive integer values that m can assume
Geometry 2:
A triangle has sides 10, 17 and 21.
A square is inscribed in the triangle such that one side of the square lies on longest side of the triangle and the other two vertices of the square touch the shorter sides of the triangle.
What is the side of the square.
Geometry 3:
In a triangle AB = 20, AC = 11, BC = 13. Find the diameter of the semicircle inscribed in ABC, whose diameter lies on AB and is tangent to AC and BC.
integer solutions of :
x^2 + y^2 = 75.. how to do such Qs??
Geometry 4:
ABCD is an isosceles trapezium. AB = CD = 2. AD || BC.
A semicircle circumscribes ABCD with AD = 8 as the diameter.
Find BC.
Geometry 5: In a rectangle ABCD, E is any point inside it.
AE = 40. BE = 50. CE = 60.
What can be the maximum value of DE ?
# 10. The HCF of three numbers a, b and c is 7. If their sum is 63 then find the number of
ordered triplets of a, b and c.
A ) 25
B ) 26
C ) 27
D ) 28
And now this is one thing which I never understand 😞
Please help.
Remainder when 123123.... 300 digits is divided by 504?
Lot of CAT 2013 questions being shared here.
One more question gets shared and the concerned person goes off the forum permanently.
Please do not violate NDA.
Vision
Read this question somewhere ......
Two different prime numbers between 4 and 18 are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained? A) 21 (B) 60 (C) 119 (D)180 (E) 231
f(y)= 10y^3+Py^2+QY-63 if f(-1)=-8 and one of the factors f the given equation is 2y+3 find the value of P and Q
73, -8
-1, -66
-3, 68
CMD
A triangle is given with side AC = 12, BC = 13, AB = 5. A circle is drawn such that it touches all the three sides of the triangle. Center of the circle is O. Find tan(OBC)??????? important question 😉
A three digit number is such that the ratio of tenths digit and units digit is 2:1 and the ratio
of the hundreds digit and the units digit is 3:2. What is the sum of all such three-digit numbers?
A ) 1926
B ) 1026
C ) 684
D ) 1296
z is the product of first 31 natural numbers..if x=z+1,then teh number of primes among x+1,x+2,x+3....x+30??????? @Shubh.i @cristianokaka >>
# 1. In one of the deadliest untamed jungles in North America, researchers found that every 3
deer eat 4 kgs of grass in 30 minutes, while every 4 tigers eat 8 kgs of flesh in 10 minutes.
Average flesh content in a deer is 15 kgs. It was also found that every pair of tigers kills 5 deer
per hour. This jungle has 60 tigers, which are observed to be busy in either killing or eating flesh
in the entire day. Assuming there is no other source of flesh for tigers (apart from deer), what
should be optimum time taken (approximately) in 24 hours to hunt so that no flesh is wasted in a
day?
A ) 4 hrs
B ) 6 hrs
C ) 10 hrs
D ) 17 hrs
yeh kaun sa ajib jungle hai 😛
What are the last two digits of 1234567891^304 and what is its sum?