26 Sep 2016

IBPS Clerk/PO 2016 - Practice Quantitative Aptitude Questions

IBPS Clerk/PO 2016 - Practice Quantitative Aptitude Questions Set-15:
Dear Readers, Important Practice Aptitude Questions for IBPS Clerk and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.

Directions (Q. 1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
a)    if x > y
b)    if x ≥ y
c)    if x < y
d)    if x ≤ y
e)    if x = y or no relation can be established between x and y.

1). I. 15x2 – 41x + 14 = 0
II. 2y2 – 13y + 20 = 0

2). I. x2 – 7x = 0
II. 2y2 + 5y + 3 = 0

3). I. 3x2 – 29x + 56 = 0
II. 3y2 – 5y – 8 = 0

4). I. 5x2 + 26x – 24 = 0
II. 5y2 – 34y + 24 = 0

5). I. 7x – 4y = 40
II. 8x + 8y = 8

Directions (Q. 6-10): Study the following pie-chart and table carefully and answer the questions given below:
A survey was conducted on 6800 students studying in various colleges having various favourite fruits.
The pie-chart shows the percentage-wise distribution among the people.

The table shows the ratio of male to female
 Male Female Cherry 3 5 Jackfruit 3 4 Lemon 5 3 Papaya 1 3 Pears 7 5 Pineapple 1 5

6). What is the ratio of the number of males whose favourite fruit is Lemon to that of the number of females whose favourite fruit is Jackfruit?
a)    268:179
b)    255:272
c)    274:341
d)    265:465
e)    284:514

7). What is the numbers of females who like Cherry the most?
a)    1384
b)    1380
c)    1275
d)    1470
e)    1290

8). What is the ratio of the number of males whose favourite fruit is Jackfruit to the number of females whose favourite fruit is Pears?
a)    418:425
b)    425:408
c)    408:425
d)    204:425
e)    510:408

9). The number of females whose favourite fruit is Pineapple is by what per cent more than the number of females whose favourite fruit is Papaya?
a)    81.81%
b)    83.01%
c)    82.52%
d)    82.78%
e)    85.21%

10). What is the difference between the number of males whose favourite fruit is Cherry and the number of females whose favourite fruit is Papaya?
a)    535
b)    504
c)    420
d)    204
e)    468

1)c   2)a   3)b   4)d   5)a   6)b   7)c   8)c   9)a   10)d

Explanation:
1). I. 15x2 - 4!x + 14 = 0
or 15x2 - 6x - 35x + 14 = 0
or 3x(5x - 2) - 7(5x - 2) = 0
or (3x - 7)(5x - 2) = 0
x = 7/3 , 2/5
II. 2y2 - 13y + 20 = 0
or 2y2 - 8y - 5y + 20 = 0
or 2y(y - 4) - 5(y - 4) = 0
or (2y - 5) (y - 4) = 0
y = 4,5/ 2
x < y

2). I. x2 - 7x = 0
or  x (x - 7) = 0
x = 0, 7
II. 2y2 + 5y + 3 = 0
or 2y2 + 2y + 3y + 3 = 0
or 2y(y + 1) + 3(y + 1) = 0
or (2y + 3) (y + 1) = 0
y = -1, -3/2
x > y

3). I. 3x2 - 29x + 56 = 0
or 3x2 - 21x - 8x + 56 = 0
or 3x(x - 7) - 8(x - 7) = 0
or (3x - 8) (x - 7) = 0
x = 8/3 ,7
II. 3y2 - 5y - 8 = 0
or 3y2 + 3y - 8y - 8 = 0
or 3y(y + 1) - 8(y + 1) = 0
or (3y - 8) (y + 1) = 0
or (3y - 8) (y + 1) = 0
y =-1, 8/3
x ≥ y

4). I. 5x2 + 26x - 24 = 0
or 5x2 + 30x - 4x - 24 = 0
or 5x(x + 6) - 4(x + 6) = 0
or (5x - 4) (x + 6) = 0
x = 4/5, 6
II. 5y2 - 30y - 4y + 24 = 0
or 5y(y - 6) - 4(y - 6) = 0
or (5y - 4) (y - 6) = 0 4
y = 4/5, 6
x y

5).  7x - 4y = 40 ...(i)
and 8x + 8y = 8
or x + y = 1 ...(ii)
Solving (i) and (ii), we have
x = 4, y = -3
x > y

6).  Number of males whose favourite fruit is Lemon
= 6800 × 12/100 × 5/8 = 510
Number of females whose favourite fruit is Jackfruit
= 6800 × 14/100 × 4/7 = 544
Required ratio = 510 : 544 = 255 : 272

7). Number of females whose favourite fruit is Cherry
= 6800 × 30/100 × 5/8 = 1275

8). Required ratio = 408/425 = 408 : 425

9). Number of females whose favourite fruit is Pineapple
= 6800 × 18/100 × 5/6 = 1020
Number of females whose favourite fruit is Papaya
= 6800 × 11/100 × ¾ = 561
Required % = 1020 – 561/561 × 100 = 45900/561 = 81.81% more

10). Number of males whose favourite fruit is Cherry
= 6800 × 30/100 × 3/8 = 765
Number of females whose favourite fruit is Papaya
= 6800 × 11/100 × ¾ = 561
Difference = 765 - 561 = 204