The numbers x, y, z are respectively proportional to 2 : 3 : 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax - 8, then a is
6
3
C.
3
x : y : z = 2 : 3 : 5
x + y + z = 80
z = ax - 8
A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work in
20 days
21 days
22 days
24 days
D.
24 days
Let A finishes the work in x days.
∴ B finishes the work in 2x days.
According to the question,
Both will finish in = 16 days
A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be
13 km/hr
20 km/hr
A.
Distance covered by man in first 2 hours = 2 x 20 = 40 km
Remaining distance = (100 - 40) = 60 km
Time to cover this 60 km with speed of 10 km/hr
Required Average speed =
Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10 : 3 at 6% simple interest per annum?
7 years
3 years
5 years
4 years
C.
5 years
Let the required time be t years.
According to the question,
If (x - 2) (x - p) = x^{2} - ax + 6, then the value of (a - p) is:
0
1
2
3
C.
2
(x - 2) (x - p) = x^{2} - ax + 6
x^{2} - 2x - px + 2p = x^{2} - ax + 6
x^{2} - x(2 + p) + 2p = x^{2} - ax + 6
Comparing both sides,
2 + p = a
a - p = 2
The successive discounts of 15%, 20% and 25% on an article is equivalent to the single discount of
60%
47%
49%
40%
C.
49%
Single discount of 15% and 20%
Single discount of 32% and 25%
If the ratio of cost price and selling price be 10 : 11, then the profit percentage is
1%
10%
5%
8%
B.
10%
Let the cost price be Rs. 10, Selling price be Rs. 11
∴ Gain = Rs. (11 - 10) = Rs. 1
Gain%
The price of rice has increased by 60%. In order to restore the original price, the new price must be reduced by:
40%
45%
B.
New price must be reduced by:
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