# Mixed Quantitative Aptitude Questions Set 147

Directions(1-5): Find the value of x and y and choose a correct option from the following questions.

1. I. x^2 + 14x + 49 = 0
II. y^2 + 9y = 0
y > x
x > y
y >= x
x >= y
No relation
Option E
X = -7
y = 0,-9
No relation

2. I. 3x^2 – 4x – 32 = 0
II. 2y^2 – 17y + 36 = 0
x >= y
y >= x
x > y
No relation
y > x
Option B
X = 4,-8/3
y = 4,9/2
y >=x

3. I. 9x^2 – 29x + 22 = 0
II. y^2 – 7y + 12 = 0
x >= y
y > x
No relation
x > y
y >= x
Option B
x = 2, 11/9
y = 3,4
y > x

4. I. 4x + 7y = 42
II. 3x – 11y = – 1
x > y
No relation
x >= y
y >= x
y > x
Option A
X =7
y = 2
x>y

5. I. 3x^2 – 19x – 14 = 0
II. 2y^2 + 5y + 3 = 0
x >= y
y >= x
y > x
x > y
No relation
Option D
X = 7,-2/3
y = -3/2,-1
x > y

6. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
16%
18%
10%
12%
14%
Option C
5000×r×2 /100 + 3000×4×r /100 = 2200
=>22000r = 22000 × 10
=>r = 10%

7. What would be the compound interest on amount of Rs. 8000 at the rate of 15% per annum in three years?
Rs. 4234
Rs. 4167
Rs. 4000
Rs. 4125
Rs. 4040
Option B
C.I.= 8000 (1+ 15/100)^3 – 8000
= 8000 ×( 23×23×23)/(20×20×20)− 8000 = Rs. 4167

8. A certain number of men can finish a piece of work in 100 days. If however there were l0 men less, it would take another 10 days to finish the work. How many men were there originally?
90
78
81
110
100
Option D
x × 100 = (x − 10) × 110
=> 100x = 110x – 1100
=> 10x = 1100
=>x = 110

9. A sum of Rs. 6,000 is deposited for 3 years at 5% per annuam compound interest (compounded annually). The difference of interests for 3 and 2 years will be :
Rs.389.14
Rs.323.11
Rs.313.14
Rs.300.15
Rs.330.75
Option E
For 2 year, C.I = 6000 (1 + 5 /100)^2 −6000 = 615
For 3 year, C.I. = 6000 (1+ 5/ 100)^2 − 6000 = 945.75
Required different = Rs.330.75

10. Ratio of upstream speed and downstream speed is 3 : 5. If a boat travels in upstream 22.5 km in 2:30 hrs, find the speed of boat in still water.
10
20
14
12
17
Option D
Let upstream speed = 3x
Downstream speed = 5x
22.5/3x = 22.5
x = 3
Downstream speed= 5 × 3 = 15
Speed of boat in still water = 1/2 (15 +9) = 12 kmph