Inequality Quantities Banking Math
ব্যাঙ্কিং পরীক্ষার উপযোগী ইনইকুয়ালিটি কোয়ান্টিটিজ কুয়ানটিটিভ আপটিটুড প্রশ্ন (Inequality Quantities Banking Math )এখানে দেওয়া হলো।
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 =
(4C2 + 6C2)/20C2 = 21/190
Probability that both balls are of different colours
={(4*6*2)+(4*6*8)+(6*2*8)+(4*2*8)}/20C3=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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