# Algebra, Quadratic Equations, Inequalities, Functions

The number of real roots of the equation |1 - |x|| - (1.01)(1.01x) = 0 is/are

`Find all positive integers a and b such that a^b = b^a`
• more than 3
• 2
• 1
• 0
• 3

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what is c?

• object oriented language
• basic
• query
• structured

0 voters

x+y=1 and x, y >0. Find the least value of (x+1/x)^2 + (y+1/y)^2.

• 12
• None
• 8
• 12.5

0 voters

if x varies as y then x^2+y^2 varies as

• x-y
• x^2-y^2
• None of these
• x+y
• x^3-y^3

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A stamp collector decides to put all his stamps in a new album. If he puts 20 stamps on one sheet, there will be some left over; if he puts 23 stamps on a sheet, there will be at least one empty sheet left in the album. If the stamp collector is presented with an additional new album of the same kind, each sheet holding 21 stamps, he will be left with a total of 500 stamps. How many sheets are there in the first album?

• data insufficient
• 11
• 12
• 13
• 10

0 voters

A function f(x) is defined for all real values of x as Min(–x2, x – 20, –x – 20). What is the maximum value of f(x)?

• -16
• -36
• -25
• -20

0 voters

how many integral solution (x,y) exist satisfying d eqn:
|y|+|x|<_4>

sum of "n" successive positiv integers x,(x+1),.....{x+(n-1)} is 1000.Then ,wch of d followin is not true about x?(n>1)..elucidate d solution

• x can be 198
• x can be 40
• x can be 55
• x can be 28

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If a, b and c are non-zero real numbers such that |a – b| = |c| and |a – c| = |b|, then what is the value of b^2 + c^2?

• (d) a^2 + 2bc

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If a, b and c are non-zero real numbers such that |a – b| = |c| and |a – c| = |b|, then what is the value of b^2 + c^2?

• (d) a^2 + 2bc

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what is the minimum value of sqrt(x^2+y^2) such that 5x+12y=60?

• 13/5
• none of these
• 1
• 60/13

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A stamp collector decides to put all his stamps in a new album. If he puts 20 stamps on one sheet, there will be some left over; if he puts 23 stamps on a sheet, there will be at least one empty sheet left in the album. If the stamp collector is presented with an additional new album of the same kind, each sheet holding 21 stamps, he will be left with a total of 500 stamps. How many sheets are there in the first album?

• data insufficient
• 13
• 10
• 11
• 12

0 voters

• 3
• 5
• 4
• 15

0 voters

• option 1
• option 2
• option 3
• option 4

0 voters

f(x)=f(f(x))=f(x^2)....how many such functions with degree >2 exist??

15x-3>4q

q=9y+2
then

• x is always less than y
• nothing can be said
• x=y always
• x is always greater then y

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What is the sum of the series 1!+2!+3!+4!+....+49!+50! ??

then what is the value of

• 10
• 1000
• 100
• 1

0 voters

a, b and c are positive real numbers such that a + b + c = p, where 'p' is a constant. Find the maximum value of (p – a)(p – b)(p – c).

• A
• B
• C
• D

0 voters