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Algebra, Quadratic Equations, Inequalities, Functions Quantitative

The number of real roots of the equation |1 - |x|| - (1.01)(1.01x) = 0 is/are
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Consider a function f(k) defined for positive integers k = 1,2, …. ; the function satisfies the conditionf(1) + f(2) + …. = p/(p-1). Where p is fraction i.e. 0 < p < 1.Then f(k) is given by(a) p(-p)k-1(b) p(1-p)k-1(c) {p(1-p)}k-1(d) None of these
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A jewellery shop owner conducts his business in the following manner. Every once in a while, he raises the price of his jewels by y% and then a while later he reduces all the new prices by y%. After one such up-down cycle, the price of a jewel in his shop reduces by र80. He then, raises the price...
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Find the least value of mode{x-1}+mode{x-2}+mode{x-3}+...........+mode{x-99} [smiley]
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if log (x^2)base(5x+6)< log (5x+6)base(5x+6),then??? (good one:))
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if the roots of the equation 2x^4-8x^3+12x^2-8x+2=0 are x1,x2,x3,x4 then the value of (x1+2x2+3x3+4x4) is equal to
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If A1=5 and A19=205 , A1 and A19 are the terms of an AP. Then find the value of
A1+A3+ ..... +A17+A19
?
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The figure below shows a “size 3” equilateral triangle divided into 9 “size 1” equilateral triangles. The figure has 6 upward facing and 3 downward facing “size 1” equilateral triangles, 3upward facing and no downward facing “size 2” triangles and 1 upward facing “size 3” triangle. It has a tota...
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The function f(x) is defined for all positive values of x and y as f(xy) = f(x) + f(y). Also, f(2) = 2 and f(3) = 3. What is the value of f(32/27) ?
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(ax3 + 12x + 8) has a factor of the form (x2 + px + 1). Find the sum of all of the possible values of a.?
No OA..please Discuss
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(1+x+x^5)^15=ao+a1x^1+a2x^2+......+a75x^75..for how many values of i such that 0<=i<=75 is ai not equal to 0?
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If n is a non-negative integer such that 12^n is a divisor of 3,176,793,what is the value of n^12-12^n ?
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VERBAL ne fir lga dee.....:((((((
a line OP25 is drawn and pointz p1,p2,p3....p24 are marked on line.Squares are constructed such that op1,p1p2,p2p3..........p24p25 are diagonals of the respective squares. the area of squares considered in the same order are 2,4,8,16..... the 25th square is named P24 B P25 D.The distance OD is a...
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Q f(x, y)=|x+y|g(x, y)=|x|+|y|h(x, y)=|x-y|l(x, y)=|x|-|y|
If f(x, y)=g(x, y) and h(x, y)=l(x, y), and xy not equal to 0, then which of the following is necessarily true?
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Each root of the equation ax^3 – 7x^2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?
[plz share ur valuable approach] [smiley]
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Salim purchased three different varieties of chocolates namely A, B and C. The number of chocolates of each variety bought by him is equal to the price of one chocolate of that particular variety. The price of one chocolate of each of these three varieties is an integer. The aggregate amount spen...
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minimum value of f(x)= |x-2|+|2x+3|-2.
plz post the approach..........
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Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of 1/400{(1000/x) + x} litres per km, when driven at the speed of x km per hour. If the cost of diesel is Rs.35 per litre and the driver is paid at the rate of Rs.125 per hour then find the approximate optimal speed (in km per...
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For some integer m, the polynomial x^3 – 2011x + m has the three integer roots - a, b and c. Find |a| + |b| + |c|.
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[x] = Greatest integer less than or equal to x {x} = x – [x] How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?
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The question given below is followed by two statements, A and B. Mark the answer using the following instructions:Mark (a) if the question can be answered by using Statement A alone, but cannot be answered by using Statement B alone.Mark (b) if the question can be answered by using Statement B al...
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