# NIACL AO Mains– Quantitative Aptitude Questions Day- 06

Dear Readers, Bank Exam Race for the Year 2019 is already started, To enrich your preparation here we have providing new series of Practice Questions on Quantitative Aptitude – Section. Candidates those who are preparing for NIACL AO Mains 2019 Exams can practice these questions daily and make your preparation effective.

[WpProQuiz 5103]

Directions (Q. 1 – 5): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,

a) If x > y

b) If x ≥ y

c) If x < y

d) If x ≤ y

e) If x = y or the relation cannot be established

1) I) x = [√(24782 – 1678)] × 2401 ÷ (52 + 3)

II) y = 74088

2) I) 3x2 + 33x + 72 = 0

II) 2y2 – y – 55 = 0

3) I) 2x2 + (52 – 57) x – (132 ÷ 4) = 0

II) 7y2 – 16y – 15 = 0

4) I) 7x – 6y = -21

II) 2x – 3y = 15

5) I) x2 – 8x – 65 = 0

II) y2 – y – 42 = 0

Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:

The following bar graph shows the total number of items (In lakhs) produced by two different companies in 6 different years. 6) Find the ratio between the total number of items sold by the company A in the year 2013 and 2015 together to that of total number of items produced by company B in the year 2014 and 2016 together, if the ratio between the total number of sold to that of unsold items of company A in the year 2013 is 7 : 5 and the percentage of unsold items of company A in the year 2015 is 28 %?

a) 152: 257

b) 265: 389

c) 463: 575

d) 314: 437

e) None of these

7) Find the difference between the average number of items produced by company A to that of company B in all the given years together?

a) 50000

b) 40000

c) 75000

d) 60000

e) None of these

8) Find the sum of the number of items sold by company A in the year 2015 and the number of items remains unsold by company B in the year 2017 together, if the percentage of items sold by company A in the year 2015 is 60 % and the percentage of items sold by company B in the year 2017 is   62 %?

a) 13.6 lakhs

b) 12.8 lakhs

c) 16.4 lakhs

d) 15.3 lakhs

e) None of these

9) Total number of items produced by company A and B together in the year 2013 and 2016 together is approximately what percentage of total number of items produced by company A and B together in the year 2014 and 2018 together?

a) 62 %

b) 70 %

c) 94 %

d) 106 %

e) 85 %

10) If in the year 2018 of company A, the 4 % of items were damaged and then the ratio between the total number of items sold to that of unsold is   5: 3, then find the average number of items sold by company A in the year 2018 and the number of items produced by company B in the year 2017 together?

a) 1960000

b) 2340000

c) 2520000

d) 1850000

e) None of these

Direction (1-5 ) :

I) x = [√(24782 – 1678)] × ∜2401 ÷ (52 + 3)

X = √23104 × ∜2401 ÷ 28

X = (152*7)/28 = 38

II) y = ∛74088 = 42

X < y

I) 3x2 + 33x + 72 = 0

3x2 + 24x + 9x + 72 = 0

3x (x + 8) + 9 (x + 8) = 0

(3x + 9) (x + 8) = 0

X = -9/3, -8 = -3, -8

II) 2y2 – y – 55 = 0

2y2 + 10y – 11y – 55 = 0

2y (y + 5) – 11 (y + 5) = 0

(2y – 11) (y + 5) = 0

Y = 11/2, -5 = 5.5, -5

Can’t be determined

I) 2x2 + (52 – 57) x – (132 ÷ 4) = 0

2x2 – 5x – 33 = 0

2x2 + 6x – 11x – 33 = 0

2x (x + 3) -11 (x + 3) = 0

(2x – 11) (x + 3) = 0

X = 11/2, -3 = 5.5, -3

II) 7y2 – 16y – 15 = 0

7y2 – 21y + 5y – 15 = 0

7y (y – 3) + 5 (y – 3) = 0

(7y + 5) (y – 3) = 0

Y = -5/7, 3 = -0.714, 3

Can’t be determined

7x – 6y = -21 —> (1)

2x – 3y = 15 —> (2)

By solving the equation (1) and (2), we get,

X = 3, y = 7

X < y

I) x2 – 8x – 65 = 0

(x – 13) (x + 5) = 0

X = 13, -5

II) y2 – y – 42 = 0

(y + 6) (y – 7) = 0

Y = -6, 7

Can’t be determined

Direction (6-10) :

The total number of items sold by the company A in the year 2013 and 2015 together

= > 1200000*(7/12) + 1600000*(72/100)

= > 700000 + 1152000 = 1852000

The total number of items produced by company B in the year 2014 and 2016 together

= > 11 + 12 = 23 lakhs

Required ratio = 1852000: 2300000 = 463: 575

The average number of items produced by company A in all the given years together

= > (12 + 15 + 16 + 11 + 10 + 17)/6 = 81/6

The average number of items produced by company B in all the given years together

= > (8 + 11 + 13 + 12 + 15 + 19)/6 = 78/6

Required difference = (81/6 – 78/6) = (3/6) lakhs = 50000

The number of items sold by company A in the year 2015

= > 16*(60/100) = 9.6 lakhs

The number of items remains unsold by company B in the year 2017

= > 15*(38/100) = 5.7 lakhs

Required total = 9.6 + 5.7 = 15.3 lakhs

Total number of items produced by company A and B together in the year 2013 and 2016 together

= > 12 + 8 + 11 + 12 = 43 lakhs

Total number of items produced by company A and B together in the year 2014 and 2018 together

= > 15 + 11 + 17 + 19 = 62 lakhs

Required % = (43/62)*100 = 70 % 