Official Quants Group|CAT:2022|MBA:2023-2025

A = 5^56, B = 10^51, C =17^35, D = 31^28. which is largest number? Solution please with approach

Find the sum of all 8 digit number that can be formed with the digits 1, 1, 1, 5, 5, 7, 8 and 9 Solution and approach please

If M = 40! and N = 43, then nd the remainder when M is divided by N.


@vishiac @summi_arora

A retailer bought Tea at a discount of 10% from the wholesaler. Besides 3 Kg tea was freely offered to him by the wholesaler at every purchase of 20Kg. Now he sells all the tea to the customer with an offer with an offer of a free 1 kg with every 10 kg. What would be profit percent of retailer, if half of his tea was sold with the above offer? A) 20% B) 16.66% C) 21.296% D) None of these

Can anyone share the approach? Solution approach seems taxing

Can anyone please help me with these questions?

In how many ways can 6 different letters be posted in 3 different boxes such that at least one letter is posted in each box?


@vishiac @summi_arora

remainder when  382382....upto 300 digits is divided by 101?


in detail explanation and shortcut formula too


Any idea of word pandit VA rc course anyone??

The HCF and LCM of two numbers are 17 and 3570. How many pairs of such numbers exist?

Ac ontractortor hired a group of men and women to do a piece of work in 12 days. But everyday for the first 12 days, one worker, either a man or a woman, was absent, and the work was delayed by 3 days. The contractor made an interesting observation that if number of days for which women and men remained absent were interchanged, then it takes 16 days to complete the work. Approximately how many days would it take for man and one woman to complete the work?

HELP PLZ 


 There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?
 


MY ATTEMPT- For exactly four of them to vote- (9/10*8/9*7/8*6/7*1/6) as we will keep excluding the one person we already considered so our answer should be (9/10*8/9*7/8*6/7*1/6) X 5!/4!



WHERE AM I GOING WRONG? PLEASE HELP! I'M VERY CONFUSED

A boat travels upstream, from point X to point Y, and then returns from point Y to point Z, mid-way between X and Y, and takes 14 hours for the entire trip. If the boat would take 6 hours to travel from X to Y in still water, find the time that the boat took to travel from Y to Z?




In mock, I took speed in still water as 20 and got right answer luckily. Can anyone suggest best method do it(no intricate equations please)


@vishiac @summi_arora

How many pairs of numbers exist such that their LCM is 1260 and their HCF is a prime number?


@vishiac @summi_arora

SOLVE FOR Z 


 x + yz = 33, y + xz = 23. 

 

Hursh Sarma has a salary of ` 10,800 per month. In

the first month of the year, he spends 40% of his

income on food, 50% on clothing and saves 11.11%

of what he has spent. In the next two months, he

saves 9.09% of what he has spent (spending 38.33%

of his income on food). In the fourth month, he gets

an increment of 11.11% on his salary and spends

every single paise on celebrating his raise. But from

the fifth month onwards good sense prevails on

him and he saves 12.5%, 15%, 20%, 10%, 8.33%,

12.5%, 15% and 20% on his new income per month.

The ratio between the sum of the savings for the two

months having the highest savings to the sum of

the savings for the two months having the lowest

savings is

HELP PLZ


 In a pack of 52 cards there are four suits (Club, Heart, Spade, Diamond), each having 13 cards of different denominations. Out of the 52 cards, there are 12 face-cards, 3 from each suit. From the pack, all face-cards are removed and four cards are drawn at random one by one without replacement. Find the probability that they are of the same suit. 


I did 10C4 X 4/ 40C4


Is this wrong or right? if it is wrong then why? 

Approach please!!!

Two trains for patna leave delhi at 6 am and 6.45 am and travel 98 kmph and 136 kmph respectively. How many km from delhi will the two trains meet?

A train requires 7 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 378 m long. Find the speed of the train.