If alpha , beta are the roots of x^2+ax -b = 0 and gamma , delta are the roots of x^2 + ax +b = 0 then
(alpha - gamma) (alpha-delta) (beta- delta) (beta - gamma) = ?
1) 4b^2
2) b^2
3) 2b^2
4) 3b^2
Let E= 1^1+2^2+3^3+.........+50^50. What is the remainder when E is divided by 8?
Answer is 5.
Sloution Please,
Thanks in advance!
A garrison of 750 men has provision for 20 weeks. If at the end of 4 weeks, they are reinforced by 450 men, how long will the remaining provision last?
a. 10 weeks
b. 11 weeks
c. 15 weeks
d. 16 weeks
Please post the procedure as well. Thanks! :)
The expenses of carpeting a half of the floor were Rs. 759, but if the length had been 6 m less than it was, the expenses would have been Rs. 561. What is the length?
a. 21 m
b. 23 m
c. 45 m
d. 27 m
Please post the procedure as well. Thanks! :)
In a village consisting of p persons,x% can read and write. Of the males alone y%, and of the females alone z% can read and write. Find the number of males in the village in terms of p,x,y and z if z
a)p(x-z)/(y+x-z)
b)p(x-z)/(y+x-2z)
c)p(y-x)/(x-z)
d)p(x-z)/(y-z)
the questions where hour hand and minute is exchanged after coming how do you calculate the elapsed time?
A bag has five balls in it, each with number written on it. One ball has two on it, one has 5 on it , one has 7 on it , two balls have 8 on them. The balls are taken out of the bag one by one without replacement and put together in line. How many of these numbers are not prime.
a) 0
b) 21
c) 47
d) 60
Please mention approach
Ironite contains iron and zinc in 3:2 by weight. In the process of extraction, some amount of zinc is lost. If ironite contains 10% zinc by weight, find the amount of ore needed to produce 5 tonnes of ironite.
An article costing, rs 28611, falls and breaks into 2 pieces whose weights are in 2:3.1 ratio. Value of article is directly proportional to the square of its weight. Find its price after fall.
After allowing a discount of 11.11% , a trader still makes a gain of 14.28%.At how many percentage above the C.P does he mark on his goods?
a.28.56 b)35% c) 22.22% d) none
roots of equation:1000x^2 -133x +1 =0 nd how?
Here is link for all sorts of aptitude related theory, question and answers, with a collection of some rare books and pdfs and what nots
https://drive.google.com/folderview?id=0ByYvdp__l-N5WGxWanNTQnk3Wkk
If a is not equal to u and a^2= 5a-3 , u^2= 5u-3, then the equation whose roots are a/u and u/a is:
1) x^2-5x-3
2) 3x^2+19x+3=0
3)3x^2-19x+3
4) x^2 +5x-3
guys has IIM B declared the admission criteria?
Link for sum of x digit numbers formed from y digits including zero? Various conditions including even numbers, multiple of 3, 4 etc. also. TIA
the sides of a triangle are 4,3,5 . what will be the area of the triangle whose vertices are orthocentre,circumcentre and centroid of the given triangle ?
If the sides of a right angled triangle are in GP , what is the ratio of length of the longest side to the shortest side ?
I came across the highlighted property recently. I could not verify it.
Are there any riders to this property which i am missing? Can anyone confirm the correctness of this property? A proof shall help:)... @Huey, tag others if required.
src: cat mathematics - abhijit guha, iquant - indrajeet
Find number of ways so that sum of 5 dice is 17?