In a race, a car travelled at a speed of 150 kmph. If it had travelled at 180 kmph, it would have completed the race before 3 minutes. Find the length of the track.
A. 50 km
B. 45 km
C. 40 km
D. 30 km
A. 50 km
B. 45 km
C. 40 km
D. 30 km
A. 8% p.a.
B. 6% p.a.
C. 4% p.a.
D. 5% p.a.
E. None of these
Explanation:
Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
Therefore R = 5
A. 25 cm2
B. 42 cm2
C. 49 cm2
D. None of these
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
A. 18
B. 12
C. 9
D. 6
A. 10 min 20 sec
B. 11 min 45 sec
C. 12 min 30 sec
D. 14 min 40 sec
Explanation:
Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15
Remaining part = 1 – 7/15 = 8/15
Part filled by B in 1 minute = 1/20
1/20 : 8/15 :: 1 ; x
x = 8/15 * 1 * 20 = 10 2/3 min = 10 min 40 sec.
The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.
A. 90% increase
B. 45% increase
C. 9% decrease
D. Same as before
Explanation:
(30 * 30)/100 = 9% decrease
A. 66 2/3
B. 100
C. 105 1/3
D. 120
Explanation:
Let C.P. be Rs. x and S.P. be Rx. y.
Then, 3(y – x) = (2y – x) => y = 2x
Profit = (y – x) = Rs. (2x – x) = Rs. x
Profit % = x/x * 100 = 100%.