**Inequality Quantities Banking Math**

** ব্যাঙ্কিং পরীক্ষার উপযোগী ****ইনইকুয়ালিটি ** কোয়ান্টিটিজ কুয়ানটিটিভ আপটিটুড প্রশ্ন (Inequality Quantities Banking Math** )এখানে দেওয়া হলো। **

**ইনইকুয়ালিটি**কোয়ান্টিটিজ কুয়ানটিটিভ আপটিটুড প্রশ্ন (

Direction (1-5): – In each of the following questions, read the given statements and compare the two given quantities on it basis.

1)The ratio of the speeds of a car, a bicycle and a bus is 3 :2 :4. The average speed of the car, bicycle & the bus is 36 km/hr

**Quantity I**) The average speed f the car & the bicycle.

**Quantity II**) The average speed of the bicycle & the bus is

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) No relation

D) Quantity I ≥ Quantity II

E) Quantity I ≤ Quantity II

2)

**Quantity I) **Share of Vikash if three partners Anil, Vikash & Chayanika agree to divide the profits or losses in the ratio of 2:3:4. Profit earned at the end of year is 72000

**Quantity II)** 19000

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation

3)

**Quantity I) **The ratio between the present age of P &Q is 5 : 8. After 4 years , the ratio between their ages will be 2 :3 ,What is Q’s age at present.

**Quantity II)** If the ratio of the ages of A & B at present is 2 :1. Six years earlier, the ratio was 3:1 .What is the sum of the present age of A & B

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation

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4)

**Quantity 1**) Satish marks his goods 25 % above the cost price but allows 12.5 % discount for cash payment. if he sells the article for Rs 875, find his cost price.

**Quantity II)**700

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation or Quantity I = Quantity II

5)

**Quantity I) **If the simple interest on Rs 1350 be more than the interest on Rs 1250 by Rs 20 in

2 years, find the rate per cent per annum.

**Quantity II)** At what rate per cent per annum will Rs 1000 amount to Rs 1331 in 3 years. The interest is compounded yearly.

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation or Quantity I = Quantity II

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**Answers:-**

1.B)

(3x+2x+4x) =36

X=4

Speed of Car= 12

bicycle’s speed=8

Speed of bus=16

Avg speed of car & bicycle= (12+8)/2=10 km/hr

Avg speed pf bicycle & bus = (16+8)/2= 12 km/hr

Hence Quantity I < Quantity II

2.A)

Ratio of profits or losses = 2:3:4

Share of Vikash = 72000 * (3/9) =24000

Hence Quantity I > Quantity II

3.B)

I)(5x+4)/(8x+4) =2/3

X=4

So Q’s age at present = 32 years

II)(2x-6)/(X-6) =3/1

X=12

So, sum of their age 12(2+1) =36 years

Hence Quantity I < Quantity II

4.A)

I)Cost price = 875 * (100/125) (100/87.5)

=Rs 800

Hence Quantity I > Quantity II

5.E)

Quantity 1)

20 *100= 100 *2*R

R=10

Quantity 2)

1331/1000= (1+R/100)^{3}

(11/10)^{3}= (1 +R/100)^{3}

11/10=(1+R/100)

R=10

Hence No relation or Quantity I = Quantity II

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**Inequality Quantities Banking Math (6-10)**

Direction (6-10):- In each of the following questions, read the given statements and compare the two given quantities on it basis.

6)A box contains 4 green balls, 6 white balls, 2 orange balls and 8 brown balls

**Quantity I**) Two balls are drawn at random probability that both balls are either green or white

**Quantity II**) Three balls are drawn. The probability that all are different

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation

7)

**Quantity I) **Days taken by A to finish the work alone. A, B & C working together complete a job in 18 days. A & B together work twice as much as C, A, C together work thrice as much as B.

**Quantity II) **Time taken by A & B together to finish the work. A twice as fast as B & therefore able to finish the work in 30 days less than B

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation

8)

**Quantity I) **The percentage increase in area of a circle, when the radius of the circle in increased by 100 %

**Quantity II)** The percentage increase in area of a rectangle when length is increased by 150 % and breadth of the rectangle is increased by 60 %

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation or Quantity I = Quantity II

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9)The average marks of three students A, B & C is 420. A & C together got 885 marks & B & C got 835 marks

Quantity I) The marks of A

**Quantity II) **The marks of B

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation or Quantity I = Quantity II

10)The ratio of the age of the mother to the daughter at present is 5 :1. After 10 years the daughter will be 30 years younger than her mother.

**Quantity I) **The present age of mother

**Quantity II) **After 30 years the daughter’s age

A) Quantity I > Quantity II

B) Quantity I < Quantity II

C) Quantity I ≥ Quantity II

D) Quantity I ≤ Quantity II

E) No relation or Quantity I = Quantity II

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**Answers:-**

6.B)

Probability that both balls are either Green of White =

(4C_{2} + 6C_{2})/20C_{2} = 21/190

Probability that both balls are of different colours

={(4*6*2)+(4*6*8)+(6*2*8)+(4*2*8)}/20C_{3}=20/57

Hence Quantity I < Quantity II

7.A)

I)A+B+C take 18 days

According to question

Days taken by (A+ B): C= 1:2

Hence (X *2X)/(X+2X) =18 X=27

A+B=27 C=54

According to question

Days taken by (A+C): B= 1:3

Hence (X*3X)/(X+3X) =18 X=24

A+C=24, B=72

Hence A=43.2

II) A:B=2:1

So, They take the day to complete the work = 1:2

According to question (2-1)X= 30 X= 30

So, A take 30 & B take 60 days

Time taken by A & B together = (30 *60)/(30+60)= 20 days

Hence Quantity I > Quantity II

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8.E)

I)100 +100 +(100*100)/100= 300 %

II)150 + 60+ (150*60)/100=300 %

Hence Quantity I = Quantity II

9.A)

A’s marks = (420 *3)-835= 425

B’s marks = (420 *3)-885= 375

Hence Quantity I > Quantity II

10.E)

Difference in ages of mother and daughter is always the same. So at present difference in ratio (5-1)X=4X=30 years So X= 7.5 years

Quantity 1= 5 *7.5= 37.5 years

Quantity 11= 7.5 + 30=37.5 years

Hence No relation or Quantity I = Quantity II

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