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61. If 10% of x is the same as 20% of y, then x : y is equal to:
  A.  2 : 1
  B.  1 : 4
  C.  1 : 2
  D.  2 : 3
     
   
View Answer

10% of x = 20% of y ⇒

10 / 100
x =
20 / 100
y ∴
x / y
=
20 / 100
x
100 / 10
=
2 / 1
= 2 : 1

62. A : B = 2 : 3 and B : C = 4 : 5, then C : A is equal to:
  A.  12 : 7
  B.  15 : 8
  C.  13 : 5
  D.  8 : 15
     
   
View Answer

A / B
=
2 / 3
B / C
=
4 / 5
⇒
A / B
x
B / C
=
2 / 3
=
4 / 5
⇒
A / C
=
8 / 15
⇒
C / A
=
15 / 8

63. Rs 600 has been divided among A, B and C in such a way that Rs 40 more than
2 / 5
of A's share, Rs 20 more than
2 / 7
of B's share, Rs 10 more than
9 / 17
of C's share, are all equal. A's share is:
  A.  Rs 170
  B.  Rs 150
  C.  Rs 130
  D.  Rs 140
     
   
View Answer

2 / 5
A+40 =
2 / 7
B+20=
9 / 17
C + 10 = y ∴ A =
5 / 2
(y-40) =
5 / 2
y - 100 B=
7 / 2
(y-20) =
7 / 2
y - 70 and C =
17 / 9
(y-10) =
17 / 9
y -
170 / 9
∴
5 / 2
y - 100 +
7 / 2
y - 70 +
17 / 9
y -
170 / 9
= 600 or,
17 / 9
y =
7100 / 9
⇒ y = 100 ∴ A's share =
5 / 2
x100 - 100 = Rs 150

64. Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is:
  A.  2 : 3
  B.  4 : 5
  C.  1 : 7
  D.  3 : 2
     
   
View Answer

Let y gm of water be taken, then gold = 19y gm and copper =9y gm. Let 1 gm of gold be mixed with z gm of copper. Then, 19y + 9yz= 15y(1+z) 19y + 9yz = 15y + 15yz 19y-15y = 15yz - 9yz 4y = 6yz 2=3z Hence, z =

2 / 3

65. If A is
1 / 3
of B and B is
1 / 2
of C, the A : B : C is:
  A.  2 : 7 : 6
  B.  1 : 3 : 6
  C.  6 : 1 : 5
  D.  4 : 7 : 1
     
   
View Answer

B =

1 / 2
C, A =
1 / 3
B ⇒ A =
1 / 3
(
1 /
C) =
1 / 6
C ∴ A:B:C =
1 / 6
C :
1 / 2
C : C =
1 / 6
:
1 / 2
: 1 or 1:3:6

66. Rs 5625 is to be divided among A, B and C, so that A may receive
1 / 2
as much as B and C together receive and B receives
1 / 4
of what A and C together receive. The share of A is more than that of B by:
  A.  Rs 750
  B.  Rs 870
  C.  Rs 550
  D.  Rs 350
     
   
View Answer

A+B+C = 5625 and B=

1 / 4
(A+C) i.e, A+C=4B ∴ 4B+B=5625 or B = 1125 Also, A+C=4B= 4 x 1125 = 4500 Also, A =
1 / 2
(B+C) or B+C=2A-C ∴ 2A-C = 1125 Now, solving A+C = 4500 and 2A-C = 1125, we get A = 1875 and C = 2625 &there4 A-B= (1875 - 1125) = Rs 750

67. If the weight of a 13 metres long iron rod be 23.4kg, the weight of 6 metres long os such rod will be:
  A.  11.8 kg
  B.  12 kg
  C.  9.4 kg
  D.  10.8 kg
     
   
View Answer

Let

13 / 6
=
23.4 / y
Then y =
23.4 x 6 / 13
= 10.8 kg

68. In a school the number of boys and that of the girls are in the ratio of 2 : 3. If the number of boys is increased by 20% and that of girls is increased by 10%. What will be the new ratio of the number of boys to that of girls?
  A.  11 : 8
  B.  12 : 5
  C.  8 : 11
  D.  6 : 31
     
   
View Answer

Let the number of boys be 2y and the number of girls be 3y Number of boys is increased by 20% = 2y x

120 / 100
=
12y /
Number of girls is increased by 10% = 3y x
110 / 100
=
33y / 10
The new ratio of the number of boys to that of girls
12y/5 / 33y/10
= 8:11

69. If 25% of a number is subtracted from a second number the second number reduces to its five-sixths. What is the ratio between the first number and the second number?
  A.  4 : 8
  B.  2 : 3
  C.  5 : 4
  D.  3 : 7
     
   
View Answer

Let the first and second number be y and z respectively.
z-y x

25 / 100
= z x
5 / 6

or, z -
y / 4
=
5 / 6
z
or,
1 / 6
z =
y / 4

∴ y:z = 2 : 3

70. A bag contains rupee, 50-paise and 25-paise coins in the raio 5 : 6 : 7. If the total amount is Rs 390, find the number of 25-paise coins.
  A.  280
  B.  290
  C.  240
  D.  380
     
   
View Answer

Ratio of values of the coins =

5 / 1
:
6 / 2
:
7 / 4
= 20 : 12 : 7

Value of one rupee coins = Rs 390 x
20 / 39
= Rs 200
Value of fifty paise coins = Rs 390 x
12 / 39
= Rs 120
Value of twenty five paise coins = Rs 390 x
7 / 39
= Rs 70 ∴ Number of one-rupee coins = 200
No. of 50-paise coins = (120 x 2) = 240
No. of 25 paise coins = 70x4 = 280
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