Data Comparison New Type in NMAT 2023
In each of these questions, two equations (I) and (II) are given. Solve the equations and mark the correct option:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
Q1. I. x² + x – 12 = 0
II. y² – 9y + 14 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q2. I. 6x² + 5x + 1 = 0
II. 4y² – 15y = 4
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q3. I. 3x² + x – 2 = 0
II. 12y² + 7y + 1 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q4. I. x² – 11x + 30 = 0
II. y² – 8y + 15 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q5. I. 20x² – 17x + 3 = 0
II. 56y² + 2y – 4 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q6. I. x²-3x-88=0
II. y²+8y-48=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q7. I. 2x²+21x+10=0
II. 3y²+13y+14=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q8. I. 2x² – 5x – 7 = 0
II. 2y² – 16y + 32 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q9. I. x²-18x+81=0
II. y²+6=5y
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q10. I. 2x² – 9x + 10 = 0
II. 3y² – 7y + 4 = 0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Directions (11-15): In the following questions, two equations (I) and (II) are given. You have to solve both the equations and mark the appropriate option.
Q11. I. 12x²-16x+5=0
II. 30y²-61y+30=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q12. I. x²-16x+63=0
II. y²-12y+35=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q13. I. 32x²+44x+15=0
II. 42y²+53y+15=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q14. I. (x-2)²=x-2
II. 9y²-36y+35=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Q15. I. 18x²+39x+20=0
II. 10y²+29y+21=0
(a) x<y
(b) x>y
(c) x≤y
(d) x≥y
(e) x=y or no relation.
Frequently asked questions
What is the 'Data Comparison new type' question format on this page?
It gives two equations (I and II) in variables x and y, and you must solve both and determine the relationship between x and y from five standard options (x>y, x≥y, x<y, x≤y, or no relation/equal).
What's an example of these equation-pair questions?
One pair is x² + x - 12 = 0 and y² - 9y + 14 = 0; you solve each quadratic for its roots and then compare the possible values of x and y.
Why is this called a 'new type' for NMAT 2023?
It's the quadratic-equation-comparison variant of the classic Quantitative Comparison format, which started appearing in NMAT's newer question patterns.
What skill does this question type test most?
It tests quick and accurate factoring/solving of quadratics plus the discipline to check all root combinations before concluding the relationship between x and y.