The probability of occurrence of two events E and F are 0.25 and 0.30 respectively. The probability of their simultaneous occurrence is 0.14. The probability that either E occurs or F occurs is
Suresh got 88% in board examination of intermediate. His average in English and Hindi is 90%. Average of Physics, Chemistry and Hindi is 86%. Minimum marks in any subject is 80 and maximum 92. Out of 10 options given below which may be the marks in Hindi.
According to given conditions
p + c + m + e + h = 440
e + h = 180
b + c + h = 258
first and third equations give
m + e = 182
From fourth equation
90 is less than equal to m is less than equal to 92
90 is less than equal to e is less than equal to 92 and from second equation
88 is less than equal to h is less than equal to 90
So possibilities for hindi are 88 89 90
The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 30% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:
Let the number of boys & girls be 3x and 2x.
Number of those who are not scholarship holders
=(80% of 3x + 70% of 2x = (12x/5 + 7x/5) = 19x/5
Required Percentage = (19x/5 * 1/5x * 100)% = 76%
A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of digits by 13 and adding 2. The number is
An alloy contains zinc and copper in the ratio 5:8 and another alloy contains zinc and copper in the ratio 5:3. If equal amount of both the alloys are melted together, then the ratio of zinc and copper in the resulting alloy is:
Zinc in 2 kg of new alloy = (5/13 + 5/8) = 105/104 kg
copper in 2 kg of new alloy = (8/13 + 3/8) = 103/104 kg
Ratio of zinc and copper in new alloy = 105/104 : 103/104 = 105:103
A merchant has 100 kg. of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10% on the whole. How much is sold at 17%.
OPtion
1) 30 kg
2) 25 kg
3) 18 kg
4) 40 kg
5) 45 kg
6) 41 kg
7) 35 kg
8) 20 kg
9) 24 kg
10)None of these
Solution
Ratio of (sugar sold at 7% gain and sugar sold at 17% gain = 7:3
out of a total of 100 kg, sugar sold at 17% gain = 3 kg
out of a total of 100 kg, sugar sold at 17% gain
= (100*3/10) = 30 kg