If a, b and c are natural numbers such that a2 = bc2, then which of the following is/are true
I. a must be divisible by b.
II. a must be divisible by c2.
III. a must be divisible by c.
My answer was both 2&3 but the official key says only 3. What am I missing here?
Appriciate the help! Thanks
P has 11 different toys and S has 8 different toys. Find no of ways in which they can exchange their toys so that each keeps her initial no of toys
When 40! is expressed in base 8 form, what is the last non–zero digit in the base 8 expansion?
Find the number of three-element sets of distinct positive integers {a, b, c} such that abc = 210.
Let a, b and c be three positive real numbers such that the sum of any two exceeds the third and abc > 1. The expression logx(a + b – c) + logx(b + c – a) + logx(a + c – b), where x > 1, cannot exceed
Options:
1. (1/2)*logx abc
2. logx abc
3. (2/3)*logx abc
4. (4/5)*logx abc
Notifications regarding FMS,DU are out?
Procedure folks
In how many ways can 45^2 can be expressed as a sum or difference of 2 non-zero perfect squares. Approach Pls.
At 10:10 am, A sets out from P and reaches Q at 3:30 pm. At 9:48 am, B leaves Q for P and arrives there at 2:36 pm. At what time did A and B meet ?
Kunal sells apples in boxes of different sizes. Apples are priced at Rs 6 per apple upto 100 apples. For every additional 10 apples over the first 100 apples, the price for all the apple goes down by 50 paise per apple. What should be the size of the box, such that the fully packed box would fetch the greatest ?
Options are 1)140 2)120 3)110 4)100
How to solve this question ?
Is trignometry an important topic for CAT. I am using time material and am comfortable with questions related to height (where angles of elevation are provided) and know basic graphs of trigno functions..is that sufficient given that the time material is a bit more comprehensive than that. Thanks
Two runners run in the same direction along a circular track 2 km long. The faster runner overtakes the slower one every 30 minutes. Find their speeds, if faster one completes a round one minute sooner than the other.
How many numbers between 10^12 and 10^13 are divisible by 7.
Anyone interested in sharing some mocks of CL? I have TIME and IMS mocks available with me. If yes, kindly ping me?
Can anyone help me understand the approach? Not just the solution.
Happy Diwali folks...☺💣
The ratio of expenditures of A nd B is 4:5. The ratio of incomes is 3:4. Which of these is a possible value for the ratio of their savings?
a) 9:10 b) 3:4 c) 13:20 d) 14:5
The sum of 20 natural number is (may or may not be distinct) is 462.
i)What is minimum LCM possible?
ii)What is their maximum HCF possible?
Need Approach to solve these kind of question..Thnaks in advannce