QUANT QUIZ for SBI / IBPS

Directions (1-5): Solve Approximation based questions

1. (2432 + 587 + 1415) ÷ 378 =?
(a) 18
(b) 14
(c) 12
(d) 15
(e) 20

2. 74.8 + 13.05 × 6.98 =?
(a) 178
(b) 186
(c) 152
(d) 158
(e) 165

3.27 × 373 ÷ 16 =?
(a) 630
(b) 644
(c) 598
(d) 614
(e) 618

4. √230 * √15 =?
(a) 70
(b) 90
(c) 40
(d) 60
(e) 50

5. 1725 ÷ 35 ÷ 12 =?
(a) 3
(b) 6
(c) 4
(d) 5
(e) 7

Directions (6-10): Solve Number Series based questions

6. 10, 18, 28, 40, 54,?
(a) 66
(b) 70
(c) 68
(d) 72
(e) None of these

7. 18, 72, 9, ?, 6.75, 135
(a) 108
(b) 102
(c) 144
(d) 160
(e) None of these

8. 187.5, 182, 171, ?, 132.5, 105, 72
(a) 145.5
(b) 155.5
(c) 154.5
(d) 144.5
(e) None of these

9. 500, 525, 561, 610, ?, 755
(a) 674
(b) 670
(c) 680
(d) 686
(e) None of these

10. 5, 25, 125, ?, 3125, 15625
(a) 600
(b) 675
(c) 625
(d) 725
(e) None of these

Directions (11-15): In each of the following questions two equations are given followed by 5 options. You have to solve the equations and give answer:

Q.11 I. 5x² + 29x + 20 = 0
II. 25y² + 25y + 6 = 0
(a) if x < y (b) if x ≤ y (c) relationship between x and y cannot be determined (d) if x ≥ y (e) if x > y

Q.12 I. 3x² – 16x + 21 = 0
II. 3y² – 28y + 65 = 0
(a) if x < y (b) if x ≤ y (c) relationship between x and y cannot be determined (d) if x ≥ y (e) if x > y

Q. 13 I. x² + x – 12 = 0
II. y² + 2y – 8 = 0
(a) if x < y (b) if x ≤ y (c) relationship between x and y cannot be determined (d) if x ≥ y (e) if x > y

Q. 14 I. 4x² – 13x + 9 = 0
II. 3y² – 14y + 16 = 0
(a) if x < y (b) if x ≤ y (c) relationship between x and y cannot be determined (d) if x ≥ y (e) if x > y

Q. 15 I. 16x² + 20x + 6 = 0
II. 10y² + 38y + 24 = 0
(a) if x < y (b) if x ≤ y (c) relationship between x and y cannot be determined (d) if x ≥ y (e) if x > y

Answers (1-10)

1. (c)

2. (e)

3. (a)

4. (d)

5. (c)

6. (b)
The difference between consecutive terms is 8, 10, 12, 14 and so on.

7. (a)
The pattern is ×4, ÷8 , ×12, ÷16 and so on.

8. (c)
The pattern is -5.5, -11, -16.5, -22 and so on.

9. (e)
The difference between consecutive terms is 52, 62, 72 and so on.

10. (c)
The pattern is ×5, ×5 and so on.

11. Ans. (a)
Sol.
I. 5x² + 29 + 20 = 0
⇒ 5x² + 25x + 4x + 20 = 0
⇒ (x + 5) (5x + 4) = 0
⇒ x = –5, –4/5

II. 25y² + 25y + 6 = 0
⇒ 25y² + 15y + 10y + 6 = 0
⇒ (5y + 3) (5y + 2) = 0
⇒ y = – 3/5, –2/5
y > x

12. Ans.(a)
Sol.
I. 3x² – 16x + 21 = 0
⇒ 3x² – 9x – 7x + 21 = 0
⇒ (x – 3) (3x – 7) = 0
⇒ x = 3, 7/3

II. 3y² – 28y + 65 = 0
⇒ 3y² – 15y – 13y + 65 = 0
⇒ (y – 5)(3y – 13) = 0
⇒ y = 5, 13/3

y > x

13. Ans.(c)
Sol.
I. x² + x – 12 = 0
⇒ x² + 4x – 3x – 12 = 0
⇒ (x + 4) (x – 3) = 0
⇒ x = 3, –4

II. y² + 2y – 8 = 0
⇒ y² + 4y – 2y – 8 = 0
⇒ (y + 4) (y – 2) = 0
⇒ y = – 4, 2
No relation

14. Ans.(c)
Sol.
I. 4x² – 13x + 9 = 0
⇒ 4x² – 4x – 9x + 9 = 0
⇒ (x – 1) (4x – 9) = 0
⇒ x = 1, 9/4

II. 3y² – 14y + 16 = 0
⇒ 3y² – 6y – 8y + 16 = 0
⇒ (y – 2) (3y – 8) = 0
⇒ y = 2, 8/3
No relation

15. Ans.(e)
Sol.
I. 16x² + 20x + 6 = 0
⇒ 8x² + 10x + 3 = 0
⇒ 8x² + 4x + 6x + 3 = 0
⇒ (2x + 1) (4x + 3) = 0
⇒ x = –1/2, –3/4

II. 10y² + 38y + 24 = 0
⇒ 5y² + 19y + 12 = 0
⇒ 5y² + 15y + 4y + 12 = 0
⇒ (y + 3) (5y + 4) = 0
y = –3, –4/5
x > y

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