Wednesday, 22 April 2015

SBI PO Quantitative Aptitude Quiz -6

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

1. 780, 681, 592, 513, 444, 385, ?

1) 320 2) 324 3)332 4) 336 5) 340

2. 6, 17, 55, 196, 825, ?

1) 4176 2) 4212 3) 4232 4) 4256 5) 4281

3. 72, 193, 293, 374, 438, 487, ?

1) 521 2) 523 3) 525 4) 527 5) 529

4. 4, 45, 368, 2583, 15504, ?

1) 77521 2) 77522 3) 77523 3) 77524 5) 77525

5. 180, 271, 352, 423, 484, 535, ?

1) 576 2) 577 3) 578 4) 579 5) 580

Direction (Q. 6 - 10): For the two given equations (I) and (II), give answer

1) if x > y

2) if x > y

3) if x < y

4) if x < y

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

6. I. 3x2 – 59x + 210 = 0

II. 2y2 – 17y + 36 = 0

7. I. 15x2 – 41x + 28 = 0

II. 7y2 – 29y + 30 = 0

8. I. 4x2 – x – 3 = 0

II. y2 + 4y + 4 = 0

9. I. x = clip_image002

II. y = clip_image004

10. I. x2 = - 14x

II. y2 + 18y + 80 = 0

Answers

1. 4; Series is -99, -89, -79, -69, -59.

2. 1; Series is x1 + 11, x2 + 21, x3 + 31, x4 + 41.

3. 2; Series is + 112, + 102, + 92, + 82,

4. 5; Series is x9 + 9, x8 + 8, x7 + 7, x6 + 6.

5. 1; Series is +91, +81, +71, +61.

6. 1; I. 3x2 – 59x + 210 = 0

3x2 – 45x – 14x + 210 = 0

3x(x - 15) – 14(x - 15) = 0

(3x - 14) (x - 15) = 0

X = 15, clip_image002[4]

II. 2y2 – 8y – 9y + 36 = 0

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

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

Y = 4, clip_image004[4]

∴ x > y

7. 3; I. 15x2 – 20x – 21x + 28 = 0

5x(3x - 4) – 7(3x - 4) = 0

(5x - 7) (3x - 4) = 0

X = clip_image006, clip_image008

II. 7y2 – 14y – 15y + 30 = 0

7y (y - 2) – 15(y - 2) = 0

(7y - 15) (y - 2) = 0

Y = 2, clip_image010

∴ x < y

8. 1; I. 4x2 – 4x + 3x – 3 = 0

4x(x - 1) + 3(x - 1) = 0

(4x + 3) (x - 1) = 0

X = 1, clip_image012

II. y2 + 4y + 4 = 0

(y + 2)2 = 0

Y + 2 = 0 ∴ y = -2

∴ x > y

9. 5; I. x =clip_image014

∴ x = + 73

II. y = clip_image016

∴ y = 23

So relation cannot be established

10. 5; I. x2 + 14x = 0

X(x + 14) = 0

X = 0, -14

II. y2 + 10y + 8y + 80 = 0

Y(y + 10) + 8(y + 10) = 0

(y + 8) (y + 10) = 0

∴ y = -8, -10

Ie No. relation.

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