Quantitative Ab...

If 2 log (x-1) = log 162log(x−1)=log16, then the sum of the possible values that xx can take is

Ben bought some pencils, erasers and pens. The cost of each pencil, eraser, and pen is Rs. 16, Rs. 20, and Rs. 22 respectively. The number of erasers bought is not less than a quarter of pencils and the number of pens is at least one-sixth of the pencils bought. Ben selected each item in such a way that the average cost of all the items he bought is minimized. Which of the following can be the number of total items bought?

Karan sells rose milk packets. By the end of each day, 25% of the packets with him get spoiled and hence, he disposes them. He starts with 100 packets. He sells 20 packets of rose milk every day except the last day in which he sells 30 packets. By what percentage must he mark up the price of the packet, if he wants to end up with a profit of 26%?

Given, a =√5 + 1 . And ,a⁴−2a²−2a−24=na, find the value of n

To go from point A to point B in a city public bus and private bus service are available. The speed of the public bus is 2.5 times that of the private bus. The public bus can carry 50 passengers while the private bus can carry 70 passengers. The average occupancy of the private bus service is twice that of the public bus service. The tickets for the private bus and the public bus cost Rs. 25 and Rs. 15 respectively. There is no wastage of time between trips throughout the day for both the bus services. What is the ratio of the average revenue of the private bus service to that of public bus service?

Arun mixes coffee and chicory in the ratio 5:3. Then, he sells each unit of the mixture at a price 10% above the cost price of one unit of coffee powder. If Arun realizes a profit of 28% by doing so, by what percentage is the cost price of coffee costlier than the cost price of chicory?

A password for a security application consists of seven characters, where the first four characters are alphabets and the last three characters are digits. The digits are positive and repetition is allowed. The alphabets are not repeated. Find the number of passwords that can be formed.

A milkman procures milk at some price. He mixes water with milk in the ratio 3:5 and then he announces that he will sell the milk only at a profit of 35%. If he uses a 900 ml cup instead of a 1000 ml one to sell the milk, then the overall profit percentage of the milkman is (Assume that water is available free of cost)

3 circles of equal size are tightly packed inside a larger circle such that the 3 circles touch each other externally and touch the larger circle internally. If the diameter of the smaller circle is ‘r’, then the area outside the smaller circles but inside the larger circle is

Given, xx and yy are positive real numbers such that x + y = 4. The minimum value of the expression (x +1/x)² + (y +1/y)² is n. Find 4n.