Q1.
Find the fourth proportional to the numbers 3,4,5.
(a) 20 (b) 10 (c) 15 (d) 5
Solution.
2:4 = 5:x
2 x (x) = 4 x 5
x = 20/2 = 10
Solution
Q2.
Find the mean proportional between 25 and 9.
(a) 20 (b) 15 (c) 16 (d) 18
Solution.
25 : x = x : 9
x2 = 225
x = 15
Solution
Q3.
A mixture contains milk and water in the ratio 8:3, on adding 3 litre of water , the ratio of milk to water becomes 2:1 . find the quantity
of milk in the mixture .
(a) 24 litre (b) 15 litre (c) 20 litre (d) 25 litre
Solution.
M/W = 8/3,
M/(W + 3) = 2/1 ,
M = 2W + 6
M = 2(3M/8) + 6
8M = 6M + 48
2M = 48
M = 24
Solution
Q4.
If the sides of a rhombus are increased by 10%, what is the increase in its area ?
(a) 21% (b) 12% (c) 40%
(d) 10%
Solution.
= (2x + x2/100)%
= 20 + 100/100
= 21%
Solution
Q5.
Which statement is true . (1) In simple partnership capitals of the partners are invested for the same period.
(2) In compound partners are invested for the different span of time.
(a) only 1 (b) only 2 (c) both (d) none of these
Solution.
(c) both
Solution
Q6.
x,y and z invested capitals in the ratio 7:6:6 . At the end of one year they received profits in the ratio 7:3:9. Find the ratio of time
contributed their funds .
(a) 2:1:3 (b) 1:2:2 (c) 3:2:1 (d) 4:3:2
Solution.
(a) 2:1:3
Solution
Q7.
The average of 15 numbers is 36, if all numbers are increased by 36 then the new average of 15 numbers will be .
(a) 72 (b) 70 (c) 36 (d) 18
Solution.
(a) 72
Solution
Q8.
In a class , there are 20 boys and 30 girls having average marks in maths and stats 30 and 20 respectively . find the average of whole
class.
(a) 32 (b) 30 (c) 24 (d) 28
Solution.
(c) 24
Solution
Q9.
The age of the father 3 years ago was 7 times the age of his son. At present the father's age is 6 times that of his son . find the age of son ?
(a) 18 (b) 20 (c) 21 (d) 25
Solution.
(a) 18
Solution
Q10.
The ratio of the father's age to the son's is 3:1 . The product of their ages 27, find the age of son ?
(a) 6 (b) 3 (c) 2 (d) 1
Solution.
Let the ratio of proportionality be y,then
3y . y = 27
3y2 = 27
y2 = 9
y = 3
Solution