Quantitative Aptitude Quiz for IBPS Exams – Set 1 | Percentage & Quadratic Equations

Directions: In the following questions, two equations numbered are given in
variables x and y. You have to solve both the equations and find out the
relationship between x and y. Then give answer accordingly-

A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established

1-I. 4×2 + 12x – 27 = 0,
   II. 3y2 – 20y + 32 = 0

2- I. x^2  –
20X = -91
   II. 3y^2 = 22Y – 32

3-I. 2x^2+3x-14=0

   II. y^2-7y+10=0

4- I. 5x^2  –
126X + 25= 0
   II. 9y^2 – 22Y + 8 = 0

5- x^2 =1024, y=√1024

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Questions from
percentage (6 to10)

Q6. Three papers were set in an examination and
the maximum marks per were in the ratio of 2 : 4 : 4, respectively. If a
student obtained 50% in the first paper, 60% in the second, and 65% in the
third, what percent did he obtain overall? 

(a) 59.3%

(b) 61%

(c) 33.33%

(d) 60%

(e) None of these

Q7. In an exam, pass percentages for juniors and seniors
are 30% and 35% respectively. Maximum marks for both juniors and seniors are
the same. A junior scored 467 marks and failed by 133 marks. Find the pass mark
for seniors?

(a) 700

(b) 770

(c) 690

(d) 750

(e) None of these

Q8. In an
election 10% of the voters on the voters’ list did not cast votes and 60 voters
cast their ballot papers blank. There were only two candidates. The winner was
supported by 50% of all voters in the list and he got 420 votes more than his
rival. The number of voters on the list was:

(a) 3660

(b) 3600

(c) 4000

(d) 4500

(e) None of these

Q9. The total car population in a state is 2,94,00 out of which 1,60,00 are
made by Audi Out of every 100 audi car, 98 are red in colour, but only 55% of
the total car population is red. Find the percentage of non-audi car that are
red.

(a) 5.025% 

(b) 5.130%

(c) 6.125% 

(d) 6.140%

(e) 3.330%

Q10. The price of petrol is increased by 25%.
How much per cent must a car owner reduce his consumption of petrol so as not
to increase his expenditure on petrol?

(a) 25% 

(b) 50%

(c) 30% 

(d) 20%

(e) None of these

Solution—

1-x=-18,+6
y= 12/3,8/3

E) If x = y or relation cannot be
established

2.
x=13,7

Y=16/3,6/3

A)If x > y

3.x= -7/2,+4/2

Y=+5,+2

D) If x ≤ y

4.x=25,1/5

Y=2, 4/9

E) If x = y or relation cannot be
established

5) x= +-32

Y=32

D) If x ≤ y

6. of 2 : 4 : 4, respectively. If a
student obtained 50% in the first paper, 60% in the second, and 65% in the
third,

2*50/100+4*60/100+4*65/100=6

X=6/10*100=60%

7. A

467+133=30%X
x=2000
2000*35/100=700

8.B

 total valid vote 90%-60
winner=50%,looser=(90%-60-50%)=40%-60
so 50%-(40%-60)=420
10%=360
total vote 100%=3600

9.
D.

total
no of audi car=29400

Audi+
non audi= 29400

Audi
car=16000

Non
audi car =29400-16000

13400

Now
55% of 29400= red audi car+non red audi

29400*55/100=16170

Non
red audi car=16170-98*16000/100=15680

16170-15680=490

490*100/16170=3.33%

10.
The price of petrol is increased by 25%.

25*100/125=20%