Equation & Approximation Quiz


Directions (Q. 1-5): In these questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer.


1.

I. 2 x² + 23 x + 63 = 0

II. 4 y² + 19 y + 21 = 0
1) Relationship between x and y cannot be established.
2) x ≥ y
3) x > y
4) x < y
5) x ≤ y

2. 
I. 3 x² + 29 x + 56 = 0
II. 2 y² + 15 y + 25 = 0
1) x > y
2) x < y
3) Relationship between x and y cannot be established
4) x ≥ y
5) x ≤ y

3. 
I. 3 x² + 23 x + 44 = 0
II. 3 y² + 20 y + 33 = 0
1) x > y
2) Relationship between x and y cannot be established
3) x < y
4) x ≤ y
5) x ≥ y

4. 
I. 4 x² – 29 x + 45 = 0
II. 3 y² – 19 y + 28 = 0
1) x < y
2) Relationship between x and y cannot be established
3) x ≥ y
4) x ≤ y
5) x > y

5. 
I. 2 x² – 13 x + 21 = 0
II. 5 y² – 22 y + 21 = 0
1) Relationship between x and y cannot be established
2) x < y
3) x ≤ y
4) x ≥ y
5) x > y

Directions (Q. 6-10): What approximate value will come in place of question mark (?) in the given question? (You are not expected to calculate the exact value.)

6. 1439 ÷ 16 × 14.99 + √228 = ?
1) 1315
2) 1365
3) 1215
4) 1465
5) 1265

7. (11.92)² + (16.01)² = ?² × (3.85)²
1) 15
2) 2
3) 4
4) 12
5) 5

8. (19.97% of 781) + ? + (30% of 87) = 252
1) 40
2) 50
3) 25
4) 70
5) 80

9. 820.01 ÷ 21 × 2.99 + ? = 240
1) 105
2) 173
3) 123
4) 234
5) 143

10. 299 ÷ 12 × 13.95 + ? = (24.02)²
1) 285
2) 225
3) 325
4) 150
5) 185


Answers:

  1. 4
  2. 3
  3. 4
  4. 2
  5. 4
  6. 2
  7. 5
  8. 4
  9. 3
  10. 2

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