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Welcome to ICOME Quiz Corner

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