In a college, 25% of the studentβs study Hindi and English. 45% of the studentβs study English. What is the probability of a student studying Hindi given he/she is already studying English?
There are 8 A-type, 2 B-Type and 4 C-type objects are in a bag. All the 14 objects are drawn one by one and arranged in a row. Find out the number of different arrangements possible.
The length of a rectangle doormat is twice its breadth. If its length is decreased by 15cm and breadth is increased by 15 cm, the area of the rectangle is increased by 275sq. cm. Find the length of the rectangle.
Ramesh went to a shop and bought a book worth Rs. 105, out of which 72 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free Book ?
Total cost of the items he purchased = Rs.105
Given that out of this Rs.105, 72 Paise is given as tax
=> Total tax incurred = 90 Paise = Rs.72/100
Let the cost of the tax free items = x
Given that tax rate = 18%
β΄ (105β 72/100 β x)18/100 = 72/100
β 18(105 β0.72 βx) = 72
β (105 β 0.72 β x) = 72
x = 105 β 0.72 β 4
X= 100.28
Percentage of students passed to class X = (100 % - 25 %) of 160
= 75 % of 160
=> 75/100 Γ 160
=>12000/100
=> 120
Therefore, 120 students passed to class X
A tap can fill a Tank in 12 hours, but due to a leakage it took 18 hours to fill the Tank. If the Tank is full, in what time will the Tank become empty due to leakage?
Total number of cards = 52 i.e.
Total number of outcomes = 52
There will be a total of 12 cards between 5 and 9
Total number of favorable outcomes = 12
The probability of picking card between 5 and 9 = 12/52 = 3/13