a,b and c are distinct positive integers strictly greater than 1. If abc divides (ab−1)(bc−1)(ca−1), what is the value of abc?
Let x, y and z be real numbers such that 2 3 4
2x^2 + 3y^2 + 4z^2 = 1 The maximum value of f(x, y,z) = 5x - 6y + 7z is equal to root(a)/b where a and b are relatively prime integers. Find a + b
Find the number of positive integers n less than 1000 such that 20^n - 13^n - 7^n is divisible by 309.
Find the sum of all positive integers n for which a number(11111......2n times) - (7777.....n times) is perfect square ?
For any given integer m, define a sequence of integers as follows.
X0,m = m ;
Xi+1,m =(Xi,m)^2 + 2Xi,m (i=0,1,2,...)
Let N be the sum of all integer 3≤n≤1010 such that Xn,m is divisible by n for every integer m,
1≤m≤(n−2).What are the last 3 digits of N?
Details
That X0, m is xnot,m =m
And Xi+1, m is X of i+1, m
In triangle ABC, ∠A=100∘,∠B=60∘ and BC has side length 1. Let D be the midpoint of side AC, and E is a point on side BC such that ∠EDC=80∘. The value of [ABC]+2[CDE] can be expressed as a√b, where a and b are positive coprime integers. What is the value of a+b?
Note: [PQRS] denotes the area of figure PQRS.and area of ABC+2 × area of CDE is a root b
Angles are given in degree
X=sin (asin (3/5) +atan (2))
X can expressed as a root b /c in simplest form and b is not divisible by prime square
Find a+b+c
I m getting 11/5root5 (sum=21) but wrong
A dishonest seller uses a weight of 800 gram in place of 1 kg and adds 20% impurities in sugar. What would be his profit percentage it he claims to be selling at the cost price?
In winters, the meter scale of a cloth merchant shriks by 10% of its actual length. if the meter scale in its regular condition was rigged to measure 10% more than it is supposed to,what is the profit or loss percent the cloth merchant makes in winter, if he sells goods at the rate at which he purchases?
😉
A train after travelling 50km from A meets with an accident and proceeds at 4/5th of the former speed and reaches B, 45 mins late.Had the accident happened 20 Km further on, it would have arrived 12min sooner.Find the original speed and distance.
a trader bought two items for 19500. he sold one at a loss f 20% and other at profit of 15%. if Sp of each item is same den CP's of both are?
if a/b = b/c = c/d then prove a/d is equal to sqrt of ( (a^5 + b^2 . c^2 +a^3 . c^2 )/ (c.b^4 + d^4 + b^2 . c. d^2) ) ????
- a/d
- a/d
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What is the 4th number of the series? (A) The 5th number is 5 and 10thnumber is 10 (B) If every term in the series is multiplied by 15, then it will be in arithmetic progression
Can be answered by both options
Can be answered by either of them
Cant be answered by either of them
Can be answered by one but not by another
Please do give your answer with explanation as well
Please answer the following question.. 😃
A cube is painted and then divided into 64 identical small cubes. Then all those cubes with three painted surfaces are removed. The remaining part of the cube is painted again without dismantling or rearranging it. Again those cubes with three painted surfaces are removed and the cube is once again painted. How many cubes have two sides coloured now?
Select one:
a. 4
b. 0
c. 16
d. 8
Q1 if sales of E in east zone is zero then the sales of D and F put together as a percentage of the total sales in the East cannot be less than.
a. 12.5 b. 20 c. 37.5 d. 50%
Q2 The no of regions in which there are sales of two or more products is at least.
Please help 😃
Please answer the following question.. 😃
Five cops go to a cemetery. They leave their caps in the bag and pick them while return. In how many ways can they pick up the caps, so that exactly one person picks up his own cap?
Select one:
a. 9b. 96
c. 5
d. 45
2000 persons are standing in a row and they are numbered 1, 2, 3, .., 2000 from left to right. They start shouting letters A, B, C, D, E, A, B, C, D, E, …. From left to right, all those persons who called E loses and have to leave and rest all gets one point and they start to call out A, B, C, D, E, A, B, C, D, E, … from left to right in order again. As before, those who call out 'E' lose and have to leave; those remaining gets 1 more point each and the game starts again. The game is repeated until fewer than 5 players remain. How many points does the player numbered 1002 get?
A point (x, y) is randomly picked from inside the rectangle with vertices (0, 0), (0, 3), (2, 3), (2, 0). What is the probability that x > y?