If x = at^{2} and y = 2at then
x^{2} = 4ay
y^{2} = 4ax
x^{2} + y^{2} = a^{2}
x^{2} - y^{2} = a^{2}
B.
y^{2} = 4ax
x = at^{2}
y = 2at
y^{2} = 4a^{2}t^{2}
From (i) and (ii),
A train 110 m long is running with a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that in which the train is going?
5 sec
6 sec
7 sec
10 sec
B.
6 sec
Distance = 110 m
Relative speed = (60 + 6) km/h = 66 km/h =
Required Time:
After selling 5% of a quantity of sugar, 5 kg of sugar remains. Find the total quantity of sugar?
19 kg
100 kg
95 kg
B.
5kg =95%
∴ Total quantity of sugar
24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days?
8
10
12
6
A.
8
M_{1}D_{1} = M_{2}D_{2}
24 x 17 = M_{2} x 51
M_{2} = 8
By selling cloth at Rs 9 per metre, a shopkeeper loses 10%. Find the rate at which it should be sold so as to earn profit of 15%
Rs. 11.20
Rs. 11.30
Rs. 11.40
Rs. 11.50
D.
Rs. 11.50
Shortcut Method:
The marked price is 10% higher than the cost price. A discount of 10% is given to the marked price. In this kind of sale, the seller
bears no gain, no loss
gains
loses 1%
None of these
C.
loses 1%
Net percentage effect:
In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If and , then the value of is:
40°
35°
30°
25°
B.
35°
As we know, Exterior angle of a cyclic quadrilateral is equal to its opposite interior angle.
If PQ and PR be the two tangents to a circle with centre O such that then is:
90°
45°
30°
60°
C.
30°
Now, in quadr OQPR,
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