Question
In a city, the number of persons travelling by bike is
70% the number of persons travelling by metro. The number of persons travelling on foot is 80% the number of persons travelling by bike. If 300 persons travel by metro, then how many persons travel on foot?Solution
Number of persons travelling by bike = 300 × (70/100) = 210 Number of persons travelling by walk = 210 × (80/100) = 168
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The ratio of two numbers is 3:5. If 9 is subtracted from both, the new ratio becomes 12:23. Determine the original numbers.
Let A be a 3×3 matrix such that AT =−A and all diagonal entries are zero.
Which of the following is always true ?
Series I:Â 16 21 36 81 209 621 1836
Series II:Â 20 60 240 1200 7200 43200 403200
In series II, if ‘x’ is the wrong term, then fin...
The sum of the interior angles of a polygon with n sides is 1800°. Find the value of n.
Solve the inequality for x: (x – 4)(6 – x) ≥ 0
I). p 2  – 5p – 126 = 0
II). q 2  + 9q – 90 = 0
A biased coin shows heads with probability 0.3. If it is tossed 5 times, what is the probability of getting no more than 2 heads?
The average age of a group of 5 men is 30 years. If one man aged 35 leaves and a new person joins the group, raising the average age by 1 year, find the...
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?