Official Quant thread for CAT 2013

MBA CAT 2024
25868
@The_Loser said:
34^2020.last two digit.
2^2020 *17^2020
(2^10)^202 = 76

17^2020=89^1010
11^1010=01
76*01=76??
25869
@The_Loser said:
34^2020.last two digit.
76, its R by 100
25870
@Logrhythm said:
smallest 4 digit number in base 4 = 64largest 4 digit number in base 4 = 255smallest 4 digit number in base 3 = 27largest 4 digit number in base 3 = 80we need from 62 to 80 and only 72 out of these leave a remainder of 0 with 12, hence only 1 solution...
64 to 80 bhai
25871
@vbhvgupta said:
a reduction of 10% in the price of sugar enablesa person to buy 6.2kg more for rs 279. find the reduced price per Kg.
45 ?
25872
@vbhvgupta said:
a reduction of 10% in the price of sugar enablesa person to buy 6.2kg more for rs 279. find the reduced price per Kg.
xy = 279
0.9x(y+6.2) = 279
=> x = 5
hence reduced = 5*.9 = 4.5/kg
25873
@The_Loser said:
34^2020.last two digit.
34^2020 % 25 = 1

hence, 4k = 25p+1

hence, 76
25874
@KhannaiiM said:
A 4 digit number X in base 4 when converted to base 3 gives a 4 digit number.When X is expressed in base 12 ,it has a zero in its unit digit.Find total number of such numbers?
72 -- already done
25875
@The_Loser said:
34^2020.last two digit.
76?

4k and 25m+1

regards
scrabbler
25876
@vbhvgupta said:
a reduction of 10% in the price of sugar enablesa person to buy 6.2kg more for rs 279. find the reduced price per Kg.
Rs 4.5 per KG
25877
@The_Loser said:
34^2020.last two digit.
24 ?
25878
@albiesriram said:
900 it will be
put c^2 as a^+b^2 just
25879
@Narci said:
24 ?
bhai 76 hoga
25880
@2013IsMine said:
let price be Pquantity=279/pnew price =0.9Pquantity=279/0.9p=310/Pdiffernce =6.2310/p-279/p=6.21/p(31)=6.2P=5reduced price=4.5
Might I suggest a shorter approach - can be done orally with care : 😃

Price became 9/10 => qtty became 10/9 => the change is 1/9 of original (or 1/10 of final) and this change is 6.2 so final qtty is 62 for Rs 279 = 31*2 for Rs 31 *9 so price is 9/2 = 4.5

regards
scrabbler
25881
@viewpt said:
bhai 76 hoga
haan yaar, goofed up
25882
@albiesriram said:
simply 30^2
=>900.
25883
@scrabbler said:
76?4k and 25m+1regardsscrabbler
yeh kya tha pls elaborate.. 4k samajh mein aa gaya.. but y that 25m+1?
25884

2^2020 * 17^2020

*_76* _89^ 1010
_76*_21^505
_76*_01
76 .
25885
@viewpt said:
72 -- already done
25886
@vbhvgupta said:
a reduction of 10% in the price of sugar enablesa person to buy 6.2kg more for rs 279. find the reduced price per Kg.
0.1xy=6.2a
xy=279
so a= rs 4.5
25887