# Question Bank - Theory Of Equations - Set 2

• Question Bank - Theory Of Equations - Set 1
Concepts and Short-cuts
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)^(x-1) = 36

OA : 0

• Q 2) Find number of positive integral values satisfying (x+y)^(y-1)=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| + 2|y| + 3|z| = 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

Looks like your connection to MBAtious was lost, please wait while we try to reconnect.