# Quant Question Bank by VP - Set 1

• Q94) The cost of production of an automobile, which is usually sold at 30% profit, went up by 20%. What should be the percentage increase in the selling price, in order to maintain the same profit after the increase in the cost of production?

• Q95) Given that a number Q < 200, calculate sum of all Q such that when Q divided by 5 or 7 gives a remainder of 2?

• Q96) There were total 1890 digits used in writing page no of a book. How many pages are there in the book ?

• Q97) If x > 1 and 4x^2 - 21x + 20 > = 0, what is the minimum value of (x + 1)/(x - 1)

• Q98) A sheet of paper of size 6 * 1 is divided into 6 squares of size 1 * 1.This is to be painted with 6 different colour, so each square is of different colour. In how many ways can this be done.

• Q99) For a scholarship, at most n candidates out of 2n + I can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is?

• Q100) A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and a female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?

• @aafalke

[solution credits - Sayantan Ghatak]

CP = 100
MP = (100 + 4n)
Discount = (100 + 4n) x (n + 10)/100
SP = (100 + 4n) - (100 + 4n) x (n + 10)/100 = 130
(100 + 4n) [1 - (n+10)/100] = 130
(100 + 4n) [ (90 - n)/100] = 130
9000 + 360n - 100n - 4n^2 = 13000
n^2 - 65n + 1000 = 0
(n - 40)(n - 25) = 0
n = 40 or n = 25
As it is given that n is a multiple of 8, n = 40
New SP = (40 + 10) + 100 = 150
MP = (100 + 4 x 40) = 260
Discount = (110 x 100)/260 = 550/13 = 42.3%

• @venkateshp 6! Ways ................

207

30

59

102

32

200