An equation with all positive roots is written as xn + anxn1 + an1 xn2 + a1 = 0. Which of the following in necessarily true?
a) an n > nn x a1
b) nn > an n x an
c) a1 n > nn x an
d) None of these
A ray of light along the line √3x + y = √3 gets reflected on the xaxis to become a ray along the line
a) y = x + √3
b) √3y = x 1
c) y = √3x √ 3
d) √3y = x √ 3
Mahesh marked an article at X% above his CP. He sells it after offering a discount but still makes a profit.Which of the following cannot be discount percentage he offered?
- 200X/(100+X)
- 100X/(100+X)
- X%
- None of these
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A shopkeeper sells four qualities of rice A, B, C and D having cost price Rs. 40/kg, Rs. 55/kg, Rs. 50/kg and Rs. 65/kg respectively. Ankit purchased 'a' kg of A and 'b' kg of B to make 'a + b' kg of a new quality 'E' of rice worth Rs. 50/kg. Then he purchased 'c' kg of C and 'd' kg of D to make 'c + d' kg of a new quality 'F' of rice worth Rs. 60/kg. Finally he took 'x' kg of rice and 'y' kg of rice from 'E' quality of rice and 'F' quality of rice respectively to make 'x + y' kg of rice worth Rs. 53/kg. Ensuring that a, b, c, d, x and y are all integers then what is the minimum value of a + b + c + d + x + y in kg?
Mr Thomas sold 20 articles for Rs 60 and thus gained 25%.How many articles should he sell for Rs 90 so that he will incur a loss of 25%?
There are exactly sixty chairs around a circular table. There are some people sitting on these chairs in such a way that the next person to be seated around the table will have to sit next to someone. What is the least possible number of people sitting around the table currently?
In a club, every member plays atleast one of the games between cricket and hockey.30% of members play both cricket and hockey and 40% of the members who play cricket donot play hockey.what percentage of the club members play hockey?
In how many ways can 7 boys and 3 girls stand in a row such that no two girls stand next to each other?
The number of AP's with 5 distinct terms that can be formed from the first 50 natural numbers is?
A trader used to make 5% profit on an item by selling it at the usual marked price. One day, he tripled the
marked price of the item and finally offered a discount of 30%.what is the percentage profit he made on the item that day.
The sum of the coefficients of the polynomial (x - 1)9 (x - 2)4 (x - 4) is?
In an infinite GP,the 10th term is 3a and the sum of all the subsequent terms is 7a.
which term of the progression is 300a/49 ???
Remainder when 792379237923...400 digits is divided by 101?
Maximum value of the function F(x)= x/ (x^2+4x+10), where x is real no??
if X=mmmmm......(n)times & Y=nnnnnn......(m)
times such that 1≤n, m≤9 and m E n, then what is the value of LCM(X,Y)/HCF(x,y), If m & n are co-prime
A car rental agency has rented out 4/5 of its cars, which include 3/4 of its economy cars.if 2/3 of the total cars are economy, what percent of the cars that have not been rented are economy?
What is the sum of the roots of all the quadratic equations that can be formed such that both the
roots of the quadratic equation are common with the roots of equation (x - a)(x - b)(x - c) = 0?
'f' is a real function such that f(x + y) = f(xy) for all real values of x and y. If f(-7) = 7, then the value of f(-49) + f(49) is??
Find the sum of all the 4 digit nos that can be formed using 0,1,3,5,7 (No repetition) .