SBI Clerk Prelims 2021 Quantitative Aptitude Questions (Day-17)

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Quadratic equation

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,

1) i) x²-8x+15 = 0

ii) y²-8y+16 = 0

A.x > y

B.x ≥ y

C.x = y or relationship can’t be determined.

D.x < y

E.x ≤ y

2) i) x²-30x+225 = 0

ii) y²-10y-75 = 0

A.x > y

B.x ≥ y

C.x = y or relationship can’t be determined.

D.x < y

E.x ≤ y

3) i) x² – 10x + 24 = 0

ii) y² – 15y + 54 = 0

A.x > y

B.x ≥ y

C.x = y or relationship can’t be determined.

D.x < y

E.x ≤ y

4) i) x² – 17x + 72 = 0

ii) y² – 15y + 56 = 0

A.If x < y

B.If x > y

C.If x ≤ y

D.If x ≥ y

E.If relationship between x and y cannot be determined

5) I) x² = x + 182

II) -28y = (y²+ 195)

A.x > y

B.x ≥ y

C.x = y or relationship can’t be determined.

D.x < y

E.x ≤ y

Approximation

Directions (6-10): What approximate value should come in the place of (?) in the following questions?

6) 119.91 % of 9500.02 – 40.02 % of 6399.901 – 59.89 % of 8200.01 =? * 19.912

A.172

B.169

C.196

D.184

E.120

7) 36.01 % of 349.91 + (576.03 ÷ 39.912) * √26.01 =?

A.204

B.218

C.196

D.188

E.176

8) 83.33 % of 299.879 + 10.21 % of 630.02 =?² – 14.93 % of 319.901

A.19

B.17

C.15

D.13

E.21

9) (1055.94 ÷ √120) * 4.96 +? * √255 = 48.05 * 16.08

A.18

B.22

C.26

D.15

E.12

10) 15.879 * 54.98 – √1370 * 60.919 =? – √2304 * 52.11

A.1104

B.1119

C.1130

D.1145

E.1183

Answers :

1) Answer: C

x²-8x + 15 = 0

x²– 5x – 3x + 15= 0

x (x – 5) – 3 (x – 5) = 0

x = 5,3

y² – 8y + 16 = 0

y²– 4y – 4y + 16 = 0

y (y – 4) – 4 (y – 4) = 0

y = 4,4

Hence, relationship can’t be determined.

2) Answer: B

x² – 30x + 225 = 0

x² -15x – 15x + 225 = 0

x (x – 15) – 15 (x – 15) =0

x = 15,15

y² – 10y – 75 = 0

y² – 15y + 5y – 75 = 0

y (y – 15) + 5 (y – 15) = 0

y = 15, -5

Hence, x ≥ y

3) Answer: E

x² – 10x + 24 = 0

x² – 6x – 4x + 24 =  0

x (x – 6) – 4 (x – 6) = 0

x = 6,4

y² – 6y – 9y + 54 = 0

y (y – 6) – 9 (y – 6) = 0

y = 6, 9

Hence, x ≤ y

4) Answer: D

From I => x² – 17x + 72 = 0

=> x² – 8x – 9x + 72 = 0

=> x (x – 8) -9 (x – 8) = 0

=> (x – 8) (x – 9) = 0

=> x = 8, 9

From II => y² – 15y + 56 = 0

=> y² – 8y -7y + 56 = 0

=> y (y – 8) -7 (y – 8) = 0

=> (y – 8) (y – 7) = 0

=> y = 7, 8

Hence, x ≥ y

5) Answer: B

x² = x + 182

x² – x – 182 = 0

x² – 14x + 13x – 182 = 0

x (x – 14) + 13 (x – 14) = 0

(x + 13) (x – 14) = 0

x = 14, -13

-28y = (y² + 195)

y² + 28y + 195 = 0

y² + 13y + 15y + 195 = 0

y (y + 13) + 15(y + 13) = 0

(y + 15) (y + 13) = 0

y = -15, -13

x ≥ y

6) Answer: C

119.91 % of 9500.02 – 40.02 % of 6399.901 – 59.89 % of 8200.01 =? * 19.912

11400 – 2560 – 4920 =? * 20

? = 196

7) Answer: C

36.01 % of 349.91 + (576.03 ÷ 39.912) * √26.01 =?

126 + 14 * 5 =?

126 + 70 =?

? = 196

8) Answer: A

83.33 % of 299.879 + 10.21 % of 630.02 =?² – 14.93 % of 319.901

5/6 * 300 + 63 =?² – 48

250 + 63 + 48 =?²

19 =?

9) Answer: A

(1055.94 ÷ √120) * 4.96 +? * √255 = 48.05 * 16.08

480 +? * 16 = 768

? * 16 = 288

? = 18

10) Answer: B

15.879 * 54.98 – √1370 * 60.919 =? – √2304 * 52.11

16 * 55 – 37 * 61 =? – 48 * 52

880 – 2257 =? – 2496

1119 =?

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