Q1.
Write the duplicate ratio of 2:3 .
(a) 4:6 (b) 4:9 (c) 9:10 (d) 3:2
Solution.
(b) 4:9
Note : Duplicate ratio of a:b is a2 : b2
Solution
Q2.
If proportion is
a/b
= c/d
then a + b/b
=
c + d/d
is
(a) Invertendo (b) Alternendo (c) Componendo (d) Dividendo
Solution.
(c) Componendo
Solution
Q3.
a:b = 3:4, b:c = 8:9 , a:c =
(a) 3:1 (b) 2:5 (c) 2:3 (d) 2:1
Solution.
3 x 8 : 4 x 9 = 24 : 36 = 2 : 3
Solution
Q4.
Price of a commodity increases by 30% then find the reduction in consumption So as not to increase the expenditure.
(a) 23.07% (b) 24% (c) 25.68% (d) 42%
Solution.
(a) 23.07%
30/130 x 100 = 300/13%
Solution
Q5.
The capital of the partners are invested for different span of time then it is called ___________ partnership.
(a) compound
(b) simple (c) both (d) none of these
Solution.
(a) compound
Solution
Q6.
A and B starts a partnership firm . with capitals as 7:9. At the end of 8 months, A withdraws . If they receive the profit in the ratio of 4:9 ,
find how long B's capital was invested .
(a) 7 months (b) 12 months (c) 9 months (d) 14 months
Solution.
7 x 8/9 x (x)
=
4/9
x = 14 months
Solution
Q7.
A businessman decreased the price of a commodity by 12% , due to this sale is increased by 10% then what will be impact on income ?
(a) 2.4% (b) 3.2% (c) -3.2% (d) -1.6%
Solution.
= a + b +
ab/100
= 10 - 12 -
120/100
= (-2 - 1.2)% = -3.2%
Solution
Q8.
A train travels from A and B at the rate of 30 km/hr and from B to A at the rate of 40 km/hr. what is the average rate for the whole journey ?
(a) 40 km/hr (b) 240/7 km/hr (c) 90 km/hr (d) 38 km/hr
Solution.
A =
2xy/x + y
A =
2 x 30 x 40/30 + 40
=
2400/7
=
240/7
km/hr
Solution
Q9.
The ratio of the ages of the father and the son at present is 6:1 . After 5 years the ratio will become 7:2 what is the present age of the son ?
(a) 6 yrs (b) 5 yrs (c) 7 yrs (d) 8 yrs
Solution.
(b) 5 yrs
Solution
Q10.
Find the average of all odd number upto 100.
(a) 80 (b) 70 (c) 50 (d) 60
Solution.
Formula =
n + 1/2
n = odd number
= 1,3,5,7,-----------99
=
99 + 1/2
=
100/2
= 50
Solution
