A. 6 hours
B. 6 2/3 hours
C. 7 hours
D. 7 1/2 hours
A. 17/91
B. 33/91
C. 51/91
D. 65/91
Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91
A. 25 %
B. 55%
C. 40.5 %
D. 56.25 %
Explanation:
Let the side of the square be x units.
Then it’s area = x2 sq. Units
Side of new square = 125 % of x = (125/100 × x)units = 5x/4 units
New area = (5x/4 × 5x/4)sq.units = 25×2/16 Sq.units
Increase in area = (25×2/16 – x2) = 9×2/16 Sq.Units
Increase % = (9×2/16 × 1/x2 × 100)%
= 225/4 % = 56.25 %
A. 1/9
B. 2/9
C. 7/9
D. 8/9
A. 7 hour 15 minutes
B. 7 hour 30 minutes
C. 8 hour 15 minutes
D. 8 hour 30 minutes
Pages typed by Mansoor-Ul-Haque in 1 hour = 32/6 = 16/3
Pages typed by Aaqib in 1 hour = 40/5 = 8
Pages typed by Mansoor-Ul-Haque and Aaqib in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when Mansoor-Ul-Haque and Aaqib work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes
A. Rs. 4500
B. Rs. 4800
C. Rs. 5250
D. Rs. 6150
E. None of these
Explanation:
The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs. 6150.
A. 1/455
B. 2/455
C. 1/91
D. 4/455
Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13) = 1/455