# SBI Clerk Prelims 2021 Quantitative Aptitude Questions (Day-28)

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Directions (01-05): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,

a)If x > y

b)If x ≥ y

c)If x = y or relationship cannot be determined.

d)If x < y

e)If x ≤ y

1) I)
2x2 + 24x + 54 =0

II) 3y2– 21y+ 36 = 0

2) I)
3x2 + 12x – 63 =0

II) y2– 16y + 63 = 0

3) I)
(x + 2)2 = 9

II) y2 = 25

4) I)
1/x2 × √x = 1/(2)3

II) y– 7y + 12 = 0

5) I)
x = √841

II) y2= 961

missing number series

Directions (6-10): Find out the missing number in the following number series.

6) 1, 9, 21, ?, 63, 93

A.39

B.42

C.37

D.41

E.None of these

7) 342, ?, 210, 156, 110

A.306

B.272

C.240

D.281

E.None of these

8) 1, 5/2, 5, ?, 13, 37/2, 25

A.21/2

B.19/2

C.17/2

D.23/2

E.None of these

9) 3, 3, 4.5, 11.25, 45, 270, ?

A.2250

B.2285

C.2295

D.2025

E.None of these

10) 1.42, 1.94, 2.54, ?, 3.98, 4.82

A.2.23

B.3.22

C.2.77

D.3.24

E.None of these

2x2 + 18x + 6x 54 =0

2x(x + 9) 6 (x + 9) = 0

(2x 6) (x + 9) = 0

Roots, x = – 9, -3

3y2 – 21y + 36 = 0

3y2 – 12y – 9y + 36 = 0

3y (y – 4) – 9(y- 4) = 0

(3y – 9) (y – 4) = 0

Roots, y =  4, 3

Hence, x < y

3x2 + 12x – 63 = 0

3x2 + 21x – 9x – 63 = 0

3x(x + 7) – 9(x + 7) = 0

(x + 7) (3x – 9) = 0

Roots, x = -7, 3

y2 – 16y + 63 = 0

y2 – 9y – 7y + 63 = 0

y(y – 9) – 7(y – 9) = 0

(y – 9) (y – 7) = 0

y = 9, 7

Hence, x < y

x2 + 4x + 4 = 9

x2 + 4x – 5 = 0

x2 + 5x – x – 5 = 0

x(x + 5) – 1(x + 5) =0

(x + 5) (x – 1) = 0

Roots, x= -5, 1

y2 = 25

Roots, y = 5, – 5

Hence, relationship cannot be determined.

1/x2 × √x = 1/(2)3

x-2 × x1/2 = 1/(√4)3

x-3/2 = 1/(41/2)3

x-3/2 = 1/(4)3/2

x-3/2 = (4)-3/2

x = 4

y– 7y + 12 = 0

y2 – 4y – 3y + 12 = 0

y(y – 4) – 3 (y – 4) =0

(y – 4)(y – 3) = 0

Roots, y = 4, 3

Hence, x ≥ y

x = √841

x = 29

y2 = 961

y = +31, – 31

Hence, relationship can’t be determined 3 + 5 = 8 (sum of prime numbers)

5 + 7 = 12

7 + 11 = 18

11 + 13 = 24

13 + 17 = 30

Therefore, 21 + 18 = 39

192 – 19 = 342

172 – 17 = 272

152 – 15 = 210

132 – 13 = 156

112 – 11 = 110

1 + 3/2 = 5/2

5/2 + 5/2 = 5

5 + 7/2 = 17/2

17/2 + 9/2 = 13

13 + 11/2 = 37/2

37/2 + 13/2 = 25

(3 × 1) = 3

(3 × 1.5) = 4.5

(4.5 × 2.5) = 11.25

(11.25 × 4) = 45

(45 × 6) = 270

(270 × 8.5) = 2295  