Sunday, 26 April 2015

SBI PO Quantitative Aptitude Quiz -10

Direction (Q. 1 - 5): What is the next number in the following number series.

1. 15, 358, 574, 699, 763,?

1) 812 2) 804 3) 798 4) 795 5) 790

2. 6, 17, 34, 55, 220, 251,?

1) 1502 2) 1504 3) 1506 4) 1508 5) 1510

3. 124, 235, 447, 760, 1174,?

1) 1651 2) 1664 3) 1672 4) 1689 5) 1696

4. 3600, 5500, 8100, 8800,?

1) 9900 2) 9600 3) 9400 4) 9200 5) 9100

5. 15, 18, 31, 62, 119, 210,?

1) 341 2) 343 3) 345 4) 347 5) 349

Direction (Q. 6 - 10): In each question below two equations are provided. On the basic of these you have to find out the relation between x and y. Give answer

1) if x > y 2) if x > y

3) if x < y 3) if x < y

5) if x = y or no relation can be established between x and y.

6. I. 5x + 3y = 59 II. 7x + 9y = 191

7. I. 6x2 – 5x + 1 = 0 II. 3y2 + 4y + 1 = 0

8. I. 3x2 – 14x + 8 = 0 II. 2y2 – 17y + 36 = 0

9. I. 6x2 – 31x + 40 = 0 II. 7y2 – 41y + 60 = 0

10. I. x2 – 19x + 84 = 0 II. y2 – 26y + 169 = 0

Answers

1. 5; +73, +63, +53, +43, …….

2. +11, x2, +21, x4, + 31, x6……….

3. 4; +111, +212, +313, +414

4. 5; x1.5, x2.5, x3.5, x4.5…….

5. 2; +22 – 1, +42 – 3, +62 – 5, + 82 – 7

6. 3; eq (II) – eq (I) x 3

17x + 9y = 191

15x + 9y = 177

2x = 14

∴ x = 7, y = 8 ie x < y

7. 1; I. 6x2 – 3x – 2x + 1 = 0

Or 3x (2x - 1) -1(2x - 1) = 0

Or (3x - 1) (2x - 1) = 0

∴ x = clip_image002 , clip_image004

II. 3y2 + 3y + y + 1 = 0

Or 3y(y + 1) + 1 (y + 1) = 0

Or (3y + 1) (y + 1) = 0

∴ y = -1, clip_image006

8. 4; I. 3x2 – 12x – 2x + 8 = 0

Or 3x(x - 4) – (x - 4) = 0

Or (3x - 2) (x - 4) = 0

∴ x = 4, clip_image008

II. 2y2 – 8y – 9y + 36 = 0

Or 2y(y - 4) -9(y - 4) = 0

Or (2y - 9) (y - 4) = 0

∴ y = 4, clip_image010

9. 3; I. 6x2 – 31x + 40 = 0

Or 6x2 – 16x – 15x + 40 = 0

Or 2x(3x - 8) – 5(3x - 8) = 0

Or (2x - 5) (3x - 8) = 0

∴ x = clip_image012 , clip_image014

II. 7y2 – 41y + 60 = 0

Or 7y2 – 21y – 20y + 60 = 0

Or 7y(y - 3) – 20(y - 3) = 0

Or (7y - 20) (y - 3) = 0

∴ y = 3, clip_image016 ∴ x < y

10. 3; I. x2 – 19x + 84 = 0

Or x2 – 7x – 12x + 84 = 0

Or x(x - 7) -12 (x - 7) = 0

Or (x - 7) (x - 12) = 0

∴ x = 7, 12

II. y2 – 26y + 169 = 0

Or (y - 13)2 = 0

∴ y – 13 = 0

Or y = 13

∴ x < y

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