# SBI Clerk Mains Quantitative Aptitude (Day-36)

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Directions (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) x2-35x+306=0

II) y2+3y-340=0

2)

I) x2+11x+28=0

II) y2+10y+16=0

3)

I) 2x2-25x+78=0

II) 2y2-16y+24=0

4)

I) x2+6x-432=0

II) y2+y-12=0

5)

I) 2x2-24x+72=0

II) y2-16y+64=0

Application sums

6) The TV consumes 10 units of electricity in 2 hours and a Washing machine consumes 18 units of electricity in 6 hours. How many units of electricity will both TV and Washing machine consume in 6 days if they run 8 hours a day?

A) 384 units

B) 376 units

C) 368 units

D) 392 units

E) None of these

7) Wages for 6 women amount to Rs.1800 in ____ days and wages for _____ men amount to Rs.5400 in 9 days, the daily wages of man being double that of a woman.

A) 6, 6

B) 8, 10

C) 9, 12

D) Either a or b

E) None of these

8) Average age of Kavi and Anthuvan is 27 years. 5 years hence Ovi’s age is reverse of Kavin’s age. Four years ago the average age of Kavin, Anthuvan and Esai is 16 years and the ratio of present age of Kavin and Esai is 13:3. Then find the present age of Ovi

A) 7 years

B) 8 years

C) 10 years

D) 9 years

E) None of these

9)  Pooja borrowed Rs.4500 from bank at the rate of simple interest. After three years she paid Rs.1500 to bank and at the end of five years from the date of borrowing she paid Rs.3975 to the bank to settle the amount. Find the rate of interest

A) 5%

B) 8%

C) 6%

D) 9%

E) None of these

10)  A bag contains 24 apples, out of which 8 are damaged. Two apples are selected at randomly, what is the probability of getting one of the apples is damage?

A) 35/69

B) 32/69

C) 34/69

D) 31/69

E) None of these

Directions (1-5) :

x2-35x+306=0

x2-17x-18x+306=0

x(x-17)-18(x-17)=0

(x-18)(x-17)=0

X=18, 17

y2+3y-340=0

y2-17y+20y-340=0

y(y-17)+20(y-17)=0

(y+20)(y-17)=0

Y=17, -20

x ≥ y

x2+11x+28=0

x2+4x+7x+28=0

x(x+4)+7(x+4)=0

(x+7)(x+4)=0

X=-7, -4

y2+10y+16=0

y2+8y+2y+16=0

y(y+8)+2(y+8)=0

(y+2)(y+8)=0

Y=-2, -8

Relationship cannot be determined

2x2-25x+78=0

2x2-12x-13x+78=0

2x(x-6)-13(x-6) =0

(2x-13)(x-6)=0

x=6, 6.5

2y2-16y+24=0

2y2-4y-12y+24=0

2y(y-2)-12(y-2)=0

(2y-12)(y-2)=0

Y=6, 2

x ≥ y

x2+6x-432=0

x2+24x-18x-432=0

x(x+24)-18(x+24)=0

(x-18)(x+24)=0

X=18, -24

y2+y-12=0

y2+4y-3y-12=0

y(y+4)-3(y+4)=0

(y-3)(y+4)=0

Y=3, -4

Relationship cannot be established

2x2-24x+72=0

2x2-12x-12x+72=0

2x(x-6)-12(x-6)=0

(2x-12)(x-6)=0

X=6, 6

y2-16y+64=0

y2-8y-8y+64=0

y(y-8)-8(y-8)=0

(y-8)(y-8)=0

Y=8, 8

X < y

Directions (6-10) :

Required units=6*8(10/2+18/6)

=48*(5+3)

=384

From Option (A)

1800/6*6=Rs.50

Man wages=2*50=100

100=5400/9*x

X=6

This satisfies the given condition.

From option (B)

1800/8*6=Rs.37.5

Man=37.5*2=Rs.75

Number of men=x

75=5400/9*x

X=8 days

This not satisfies the given condition.

From Option (C)

1800/6*9=Rs.300/9=Rs.100/3

Man=100/3*2=Rs.200/3

200/3=5400/9*x

X=9 days

This not satisfies the given condition.

Kavi + Anthuvan=54 years

K-4+A-4+E-4=48 years

K+A+E=60

54+E=60

E=6

Present age of Kavin=13/3*6=26 years

After 5 years Kavin age=26+5=31 years

Ovi age after 5 years=13 years

Present age of Ovi=13-5=8 years

Total interest=3975+1500-4500=975

975=4500*3*r/100+3000*2*r/100

r=5% 