Question Bank  Theory Of Equations  Set 2

Question Bank  Theory Of Equations  Set 1
Concepts and Shortcuts
Number of Questions : 30
Topic : Equations (Finding number of Integral solutions)
Answer key available ? : Yes
Source : CAT preparation forums.

Q 1) Find number of positive integral values satisfying (x^2 + 5x + 6)^(x1) = 36
OA : 0

Q 2) Find number of positive integral values satisfying (x+y)^(y1)=100
OA: 2

Q 3) Determine the number of positive integral solutions (x, y) to x^y = y^90
OA: 15

Q 4) Determine the number of positive integral solutions (x, y) to x^y = y^100
OA: 13

Q 5) Determine the number of positive integral solutions (x, y) to x^y = y^72
OA: 16

Q 6) How many pairs of integer (a, b) are possible such that a^2 – b^2 = 288?
OA: 24

Q 7) Find unordered number of integral solutions of a * b * c = 110
OA: 19

Q 8 ) Find the number of integral solutions for (x,y) possible for 55x^2 + 2xy + y^2= 2007
OA: 2

Q 9) Find the integral solutions of x + y = 7
OA: 28

Q 10) Find many integral solutions of x + y < 7
OA: 85

Q 11) Find the integral solutions of x + y < = 7
OA: 113

Q 12) Find the integral solutions of x+2 + y =7
OA: 28

Q 13) Find the integral solutions of x+2 + y < = 7
OA: 113

Q 14) Find the integral solutions of x+2 + y+4 = 7
OA: 28

Q 15) Find the integral solutions of x+2 + y+4 < = 7
OA: 113

Q 16) Find the number of positive integral solutions for x^2 + y^2 = 30000
OA: 0

Q 17) Find the number of integral solutions of x + 2y + 3z = 24
OA: 386

Q 18 ) Find the number of integral solution of x^2 + y^2 = 70
OA: 0

Q 19) Number of integral solutions of xy = 2x – y
OA: 4