Quiz on Quant Section for CAT aspirants!
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X,Y,Z are natural numbers whose sum is 12.If maximum value of X*Y^2*z^3 is M, then how many numbers less than M is a co-prime of M?
A shopkeeper in his daily sales has to weigh all whole numbers of kilograms up to 35 kg with a hand common balance. What is the minimum number of standard weights he should have?
In how many ways can 12 balls be divided among 3 people such each can get a max of 6 balls?
A lady went to the market with a few one-rupee notes and a few 40 paise coins. When she returned, she had as many one rupee notes as she originally had 40 paise coins and vice-versa. She actually came back with about half of what she had gone with. How much did she spend in the market?
Find the remainder when (38^16!)^1777 is divided by 17.
Ajay and Balu started a business together by investing some money. At the end of the first year, out of a total profit of र2000, Ajay received र400 more than Balu. If Ajay had invested र6000 more and Balu had investedर6000 less, Ajay would have received 25% more than what he actually received. What would have been the profit share of Balu, if Ajay's investment and Balu's investment had been less by र3000 and र7000 respectively, and the profit had decreased by 20%
From the first 20 natural numbers, a combination of 3 distinct numbers is selected and then arranged in ascending order. How many such combinations can be picked such that the average of the extreme numbers gives the middle element?
A salesman has to choose between two schemes of remuneration. the first scheme has a fixed salary of rs.3700 and a commission of 2% on the sales above rs.50000. the second scheme has no salary but offers commission only. the commission, starting from 3% of sales for the first rs.50000 or part there of, increases at the rate of 1 percentage point for every increase of rs.50000 or part there of sales, upto a maximum of 20% of sales. what is the minimum value of the sales above which he can prefer the second scheme?
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