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Welcome to ICOME Quiz Corner



Q1. If A : B : C = 2 : 4 : 5
So find
A/B
:
B/C
:
C/A


(a) 5 : 8 : 25

(b) 5 : 10 : 20

(c) 15 : 18 : 25

(d) 10 : 8 : 18

Solution. a
As per question A : B : C = 2k : 4k : 5k

So
A/B
:
B/C
:
C/A
=
2k/4k
:
4k/5k
:
5k/2k


=
1/2
:
4/5
:
5/2


Now find L.C.M of 2, 5, 2, that is 10

= (10)
1/2
: (10)
4/5
: (10)
5/2


= 5 : 8 : 25
Solution

Q2. If 2A = 3B = 4C , Find A : B : C .

(a) 6 : 4 : 8

(b) 2 : 4 : 5

(c) 6 : 4 : 3

(d) 6 : 9 : 10

Solution. c
A : B : C = 12 : 8 : 6 = 6 : 4 : 3

Trick
If XA : YB : ZC

then x : y : z = BC : AC : AB
Solution

Q3. If A =
4/3
of B and B =
2/5
C, find the value of A : B : C ?

(a) 8 : 8 : 10

(b) 8 : 6 : 15

(c) 9 : 10 : 15

(d) 18 : 16 : 15

Solution. b
As per question

3A = 4B , A : B = 4 : 3

5B = 2C , B : C = 2 : 5

A : B : C = 8 : 6 : 15

Trick: A : B = a : b

B : C = c : d

A : B : C = ac : bc : bd
Solution

Q4. In a company employees reduces in the ratio of 7 : 4, while their salaries increases in the ratio of 6 : 11, find the ratio of change of total salary .

(a) 21 : 22

(b) 20 : 23

(c) 22 : 20

(d) 33 : 23

Solution. a
employees ratio = 7x : 4x

salary ratio = 6y : 11y

then the ratio of change of total salary is 42xy : 44xy

= 21 : 22
Solution

Q5. In a class there are 45 students and ratio of boys and girls is 3 : 2 . How many girls should be added so that the ratio becomes 3 : 4 .

(a) 12

(b) 17

(c) 15

(d) 18

Solution.d
As per question , number of boys and girls are 27 and 18 .

let x girls is to be added

27/18 + x
=
3/4


108 = 54 + 3x

54 = 3x

x = 18
Solution