Q1.
6 men can plough 60 hectares in 24 days , how many hectares can 30 men plough in 30 days .
(a) 375 (b) 250 (c) 150 (d) 425
Solution.
M1 x D1 x W2 = M2 x D2 x W1
6 x 24 x (x) = 30 x 30 x 69
144x = 54000
x = 375 hectares
Solution
Q2.
Divide Rs 782 into three parts proportional to the fraction , 1/2 , 2/3, 3/4 , find largest part .
(a) 200 (b) 160 (c) 306 (d) 150
Solution.
LCM of 2,3,4 = 12
1/2 : 2/3 : 3/4 = 6/12 : 8/12 : 9/12 = 6 : 8 : 9
9/23 x 782 = 306
Solution
Q3.
The ratio between two numbers 2 : 3 , if each number be increased by 12 the ratio becomes 4 : 5, find the two numbers .
(a) 10,12 (b) 12,18 (c) 14,16 (d) 18,20
Solution.
(b) 12,18
Solution
Q4.
Two numbers are respectively 20% and 40% more than a third number . what percentage is the first of the second ?
(a) 68% (b) 85.7% (c) 90% (d) 72%
Solution.
= 120/140 x 100
= (1200/14)%
= (600/7)% = 85.7%
Solution
Q5.
x,y,z start a partnership firm. A contribute 1/3 of the capital for 1/5 of the time, B contribute 1/5 of the capital for 2/3 time, C contribute
rest capital for the whole time . find their profit ratio ?
(a) 4:7:9 (b) 3:6:4 (c) 2:1:4 (d) 1:2:7
Solution.
A's share : B's share : C's share
= 1/3 x 1/5 : 1/5 x 2/3 :[1 - (1/3 + 1/5)] x 1
= 1/15 : 2/15 : 7/15
= 1 : 2 : 7
Solution
Q6.
A,B and C invest money in the ratio of 6:9:10 , and their ratio of staying in the business is 4:5:6 , find the profit ratio .
(a) 8:15:20 (b) 2:1:9 (c) 1:2:4 (d) 1:6:7
Solution.
= 24 : 45 : 60
= 8 : 15 : 20
Solution
Q7.
The average of 11 results is 20, that of the first five is 15 and of the last five is 16 . find the value of 6th number .
(a) 75 (b) 80 (c) 65 (d) 70
Solution.
(c) 65
Solution
Q8.
The average of x = 9 .find the average of y = x/9
(a) 1 (b) 0 (c) 9 (d) 6
Solution.
(a) 1
Solution
Q9.
The ratio of ages of A and B is 5:7 sum of their present age is 48 . find the difference of their ages .
(a) 2 (b) 4 (c) 8 (d) 6
Solution.
(c) 8
5x + 7x = 48
12x = 48
x = 4
Solution
Q10.
Seven year ago the ratio of ages of A and B was 3:4 . After nine years from now their ratio will be 7:8 . find the present age of B .
(a) 21 years (b) 23 years (c) 4 years (d) 36 years
Solution.
(b) 23 years
Solution