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