In today's CAT quotient on Quadratic Equations Test 3 Question 2, the co-efficient of x in the question is a(a-2) while it is solved as (a-2) leading to a wrong answer and deduction of marks. Please verify your questions and answers before we take the test.
if x,y,x are in GP and a^x,b^y,c^z are equal then a,c,b are in i)AP ii)GP iii)HP
3 years ago
Let us take x, y, z to be k/r, k, kr respectively.
a^x = b^y = c^y implies a^(k/r) = b^k = c^(kr)
If we take logarithm for all we get,
(k/r) loga = k logb = kr logc
(1/r) loga = logb = r logc
a^(1/r) = b = c^r
Clearly we can observe that a, c, b follow No Progression among AP, GP and HP.
Hope this helps!
A, B and C can do a piece of work in 20 days, 30 days and 60 days. If A works continuously and on every third day B and C also work with A, then in how many days the work will be completed???
And is a three digit number in which A>0.Yhe value of ABC is equal to sum of factorial of its three digits. What is value of B
penny meaning in hindi?
A CAN COMPLETE A PIECE OF WORK IN 10 DAYS, B IN 15 DAYS AND C IN 20 DAYS. A AND C WORKED TOGETHER FOR 2 DAYS AND THEN A WAS REPLACED BY B. IN HOW MANY DAYS, ALTOGETHER WAS THE WORK COMPLETED??
3 years ago
Altogether the work is done in 8 days
first you have to find the LCM of 10,15 and 20 i.e 60
then find out the efficiency i. e 6,4,3 repectively
so firstly A and C work together that means (A+C) in 1 day is 9 work i.e 6+3 so in two days 9*2=18 work
total work is the LCM which is 60
so 18 work is subtracted from 60 so 60-18=42
then A was replace by B so the next we have to find out the (B+C)=4+3=7 which is 1 day work
so finally 42/7= 6 days
total required days is 6+2=8 days
1/a+1/b+1/c=3/4. If a,b and c are natural numbers, how many such triplets (a,b,c) exist?