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
Q.12 I. 3x² – 16x + 21 = 0
II. 3y² – 28y + 65 = 0
(a) if x y
Q. 13 I. x² + x – 12 = 0
II. y² + 2y – 8 = 0
(a) if x y
Q. 14 I. 4x² – 13x + 9 = 0
II. 3y² – 14y + 16 = 0
(a) if x y
Q. 15 I. 16x² + 20x + 6 = 0
II. 10y² + 38y + 24 = 0
(a) 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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