1. Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of first and second added to the difference of third and second is 21.
A. 9:6:12
B. 6:9:12
C. 8:4:12
D. 12:9:6
2. The ratio of the incomes of Chetan and Dinesh is 3:4 .The ratio their expenditures is 5 :7.If both save Rs. 2000,Find the incomes of both.
A. Rs. 12000,Rs. 14000
B. Rs. 12000,Rs. 16000
C. Rs. 12500,Rs. 18000
D. Rs. 14000,Rs. 18000
3. There are three numbers,6 times the first and seven times the second are equal.5 times the second and 6 times the third are also equal .If the first number is 20 more than the third ,find the third number.
A. 40
B. 55
C. 50
D. 60
4. A bag has coins of denominations of one-rupee, two-rupees and five-rupees in the ratio 9:6:4.If the total value of five-rupees coins is Rs. 32 more than the total value of two-rupee coins,find the total value of the coins in the bag.
A. 154
B. 162
C. 164
D. 168
5. If a:b = 2:1, b:c = 3:5, c:d = 4:5 and e:d is 6:5, then find a:b:c:d:e.
A. 24:12:10:25:30
B. 24:12:20:25:30
C. 24:12:10:5:6
D. 24:12:10:25:6
6.The ratio of number of males to number of females in a club is 7 : 4. If there are 84 males in the club, the total number of members in the club are:
A. 126
B. 132
C. 136
D. 148
7.The fourth proportional to 5, 6 and 150 is:
A. 30
B. 125
C. 180
D. 120
8.Two number are in the ratio of 3 : 5. If 9 be subtracted from each, they are in the ratio of 12 : 23. The first number is:
A. 27
B. 33
C. 55
D. 49
9.A map is drawn on the scale of 4 mm for each 16 km. Two places are shown on the map at the distance of 7.2 mm. How far away are they from each other?
A. 22.3 km
B. 9.21 km
C. 28.8 km
D. 21.8 km
10.If a 13 m-long iron rod weighs 23.4 kg, then what will be the weight of 6 m-long iron rod?
A. 7.2 kg
B. 12.4 kg
C. 10.8 kg
D. 18 kg
Answers and Solution :
1. (A)
Let the numbers be a,b and c.
Given that a,b and c are the ratio 3:2:4.
Let,a = 3x, b = 2x and c = 4x
Given,(a+b) + (c-b) = 21
=> a+b+c-b = 21
=> a + c = 21
=> 3x+4x = 21
=> x =3
so a,b and c are 9 , 6 and 12.
2.(B)
3.(C)
Let the first numbers ,second number and third number be denoted as a,b and c respectively.
6a = 7b => a = 7/6 b
5b = 6c => c = 5/6 b
a - c = 20 => 7/6 b - 5/6 b = 20
=> b = 60
c = 5b/6 = 50
4.(C)
Let the numberof coins of denominations of one-rupee, two-rupee and five-rupee be 9x,6x and 4x respectively .Total value of coins 4(5x) - 6(2X) = 32
x = 4
Total value of the coins in the bag
9x + 12x + 20x =
41x = Rs. 164
5.(B)
6.(B)
The Ratio of male and female = 7 : 4
Let no of male and female = 7x and 4x
no of male = 84
7x = 84
x = 12
so no of female = 4x = 48
So total no of members in the club are (84+48) = 132
7.(C)
8.(B)
Ratio of two numbers is 3:5
then, the first number is 3x and 5x
(3x-9)/(5x-9) = 12/23
69x - 207 = 60x - 108
x = 11
so first number is 3x = 33
9.(C)
10.(C)
Weight of 6 m-long iron rod = 23.4/13*6 = 10.8 kg
1. (A)
Let the numbers be a,b and c.
Given that a,b and c are the ratio 3:2:4.
Let,a = 3x, b = 2x and c = 4x
Given,(a+b) + (c-b) = 21
=> a+b+c-b = 21
=> a + c = 21
=> 3x+4x = 21
=> x =3
so a,b and c are 9 , 6 and 12.
2.(B)
3.(C)
Let the first numbers ,second number and third number be denoted as a,b and c respectively.
6a = 7b => a = 7/6 b
5b = 6c => c = 5/6 b
a - c = 20 => 7/6 b - 5/6 b = 20
=> b = 60
c = 5b/6 = 50
4.(C)
Let the numberof coins of denominations of one-rupee, two-rupee and five-rupee be 9x,6x and 4x respectively .Total value of coins 4(5x) - 6(2X) = 32
x = 4
Total value of the coins in the bag
9x + 12x + 20x =
41x = Rs. 164
5.(B)
6.(B)
The Ratio of male and female = 7 : 4
Let no of male and female = 7x and 4x
no of male = 84
7x = 84
x = 12
so no of female = 4x = 48
So total no of members in the club are (84+48) = 132
7.(C)
8.(B)
Ratio of two numbers is 3:5
then, the first number is 3x and 5x
(3x-9)/(5x-9) = 12/23
69x - 207 = 60x - 108
x = 11
so first number is 3x = 33
9.(C)
10.(C)
Weight of 6 m-long iron rod = 23.4/13*6 = 10.8 kg
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