Friday, 24 April 2015

SBI PO Quantitative Aptitude Quiz -8

Direction (Q. 1 - 5): What will come in place of question mark (?) in the following series?

1. 55, 964, 1772, 2479, 3085, ?

1) 3582 2) 3584 3) 3586 4) 3588 5) 3590

2. 15, 27, 78, 270, 1128, ?

1) 5700 2) 5720 3) 5740 4) 5760 5) 5780

3. 6, 14, 41, 105, 230, 446, ?

1) 786 2) 789 3) 792 4) 796 5) 797

4. 7180, 6339, 5610, 4985, 4456, ?

1) 4015 2) 4020 3) 4025 4) 4030 5) 4035

5. 9, 27, 90, 324, 1368, ?

1) 6927 2) 6928 3) 6929 4) 6930 5) 6931

Direction (Q. 6 - 10): Two equations ( I ) and ( I I ) are given in each question. On the basis of these equations you have to decide the relation between 'x' and 'y' and give answer

1) if x > y

2) if x < y

3) if x > y

4) if x < y

5) if x = y or if there is no relation between ' x ' and ' y

6. I. x2 – 3x + 2 = 0

II. y2 – 9y + 18 = 0

7. I. 8x2 – 49x + 45 = 0

II. 4y2 + 3y – 1 = 0

8. I. 6x2 + 17x + 12 = 0

II. 8y2 + 10y + 3 = 0

9. I. x = clip_image002

II. y2 = 121

10. I. 12x - 17y = - 20

II. 31x + 11y = 168

Answers

1. 5; +909, +808, +707, +606……..

2. 1; x1 + 12, x2 + 24, x3 + 36, x4 + 48 ………

3. 2; +23, +33, +43, +53 …….

4. 1; -(29)2, - (27)2, -(25)2, -(23)2

5. 4; +18 x 1, +18 x 2, +18 x 3, +18 x 4 …….

6. 2; I. x2 – 2x – x + 2 = 0

X(x - 2) -1(x - 2) = 0

(x - 1) (x - 2)

X = 1,2

II. y2 – 3y – 6y + 18 = 0

Y(y - 3) – 6(y - 3) = 0

(y - 3) (y - 6) = 0

Y = 3, 6

∴ x < y

7. 1; I. 8x2 – 40x – 9x + 45 = 0

8x(x - 5) – 9 (x - 5) = 0

(8x - 9) (x - 5) = 0

∴ x = 5, clip_image002[4]

II. 4y2 + 4y – y – 1 = 0

4y(y + 1) – 1(y + 1) = 0

(4y - 1) (y - 1) = 0

Y = clip_image004 , -1

∴ x > y

8. 2; I. 6x2 + 9x + 8x + 12 = 0

3x(2x + 3) +4(2x + 3) = 0

(3x + 4) (2x + 3) = 0

X = - clip_image006, - clip_image008

II. 8y2 + 4y + 6y + 3 = 0

4y(2y + 1) +3(2y + 1) = 0

(2y + 1) (4y + 3) = 0

∴ y = - clip_image010 , - clip_image012

∴ x < y

9. 3; I. x = clip_image014 II. y2 = 121

∴ x = 11 ∴ y = + 11

∴ x > y

10. 5; 12x – 17y = - 20 …….(i)

31x + 11y = 168 ……………(ii)

Solving these two equations, we get

X = 4, y = 4

∴ x = y

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