# Quantitative Aptitude Quiz for IBPS | SBI – Set 219

Directions (1-5): In the following questions two equations numbered I and II are given. You have to solve both the equations and give
1) x > y
2) x >=y
3) x < y
4) x <= y
5) x = y or the relationship can not be
established

1) I) x2 + 5x + 6 = 0

II) y2 + 3y + 2 = 0

x2 + 5x + 6 = 0
x2 + 2x + 3x + 6 = 0
x (x + 2) + 3 (x + 2) = 0
(x + 3) (x + 2) = 0
x = –3 or –2
y2 + 3y + 2 = 0
y2 + 2y + y + 2 = 0
y (y + 2) + 1 (y + 2) = 0
(y + 1) (y + 2) = 0
y = –1 or – 2
= x <= y

2) I) x2 – 10x + 24 = 0

II) y2 – 9y + 20 = 0

I. x2 – 10x + 24 = 0
x2 – 6x – 4x + 24 = 0
x (x – 6) – 4 (x – 6) = 0
(x – 4) (x – 6) = 0
x = 4 or 6
II. y2 – 9y + 20 = 0
y2 – 5y – 4y + 20 = 0
y (y – 5) – 4 (y – 5) = 0
(y – 4) (y – 5) = 0
y = 4 or 5
x >= y

3) I) (x)2 = 961

II) y = under root 961

4) I) x2 – 72 = x

II) y2 = 64

I. x2 – x – 72 = 0
x2 – 9x + 8x – 72 = 0
x(x – 9) + 8 (x – 9) = 0
(x + 8) (x – 9) = 0
x = –8 or 9
II. y2 = 64
y = ±8

5)I)x2 – 463 = 321

II)y2 – 421 = 308

Answer 5) x = y or the relationship can not be
established
I. x2 = 463 + 321 = 784
x = ± 28
II. y2 = 308 + 421 = 729
y = ± 27

6)Deepa purchased an item for ` 8200 and soldit at the gain of 25%. From that amount he purchased another item and sold it at the
loss of 20%. What is his overall gain/loss ?
1) Loss of ` 140
2) Gain of ` 120
3) Loss of ` 150
4) Neither gain nor loss
5) None of these

Answer 4) Neither gain nor loss

7)The length of a rectangle is 16 cm which is 2 cm more than the diameter of a circle. What is the area of circle ?
1) 112 sq cm
2) 176 sq cm
3) 161 sq cm
4) 132 sq cm
5) None of these

Answer 5) Diameter of circle = Length of rectangle = 2cm
= 16 – 2 = 14cm
14/2 = 7cm
Hence, Area of circle = pi(7)2 =
22/7 × 7 × 7= 154

8)The simple interest accrued in 4 yrs on a principal of ` 25000 is two-tenth the principal. What is the rate of simple interest percent
per annum ?
1) 5
2) 8
3) 6
4) 2
5) None of these

9)The body weight of six boys is recorded as 54kg, 64 kg, 75 kg, 67 kg, 45 kg and 91 kg. What is the average body weight of all six boys?
1) 72 kg
2) 62 kg
3) 76 kg
(4) 66 kg
5) None of these

10)The ratio between the present ages of Ram and Shyam is 3:8 respectively. After eight years, Ram’s age will be 20 yr. What was Shyam’s age 5 yr ago ?
1)37 yr
2) 27 yr
3) 27 yr
4) 38 yr
5) None of these