Official Quant thread for CAT 2013

MBA CAT 2024
5101
@Brooklyn said:
han bhai maine 3 thode likha , bas values likhe the, ek miss hua, -ve include krke 16
5102
@Brooklyn said:
bhai edited
=====================

Q:101^102^103 mod 201 R?

5103
@Brooklyn said:
ye kya funda lagya hai tune??
are dekh square are either 3k , 3k+1 form..
so equation me daala..toh dono 3k nhi ho skte . n na nhi 1 3k and 1 3k+1...dono 3k+1 wala form hne chahye..so a and b 3 k multiple nhi hnge..becuase unka square 3k form ka hta he
further narrowing down, all squares leaves remainder of 0, 1,4 with 8
1947 leaves rem 3
so LHS ka 1hi combination hga ya 1 + 2(1) = 3
matlab a and b me wahi squares aayenge jo 1 rem dete he 8 k sath..uske baad count count krke...much more compact solution needed!!!
5104
@viewpt said:
bhai edited101^102^103 mod 201 R?
64


5105

@viewpt said:
bhai edited101^102^103 mod 201 R?
options plz
5106
@viewpt said:
bhai edited101^102^103 mod 201 R?
64? :neutral:
5107
@viewpt said:
bhai edited101^102^103 mod 201 R?
options ?
5108
@krum said:
64
kese kiya..67 se kese nikala?
5109
@rkshtsurana said:
options plz
@sujamait said:
options ?
options 61 62 63 64
5110
@viewpt said:
bhai edited=====================Q:101^102^103 mod 201 R?
64
5111
@rkshtsurana said:
kese kiya..67 se kese nikala?
main bhi wahi aatka
5112
@gs4890 said:
main bhi wahi aatka
67 prime,

so 102^103 mod 66 = 60

now

101^60 mod 67

u get 34^60 mod 67

17^30 mod 67 so on
5113
@Brooklyn said:
67 prime,so 102^103 mod 66 = 60now 101^60 mod 67 u get 34^60 mod 6717^30 mod 67 so on
17^30 tak karke chod diya ...lengthy hain saala
5114
@gs4890 said:
17^30 tak karke chod diya ...lengthy hain saala
ya lengthy !! took me quite long
5115
@vijay_chandola __/\__ suna hain saula aathra ghante pad rahe hoo ;)
5116
In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum possible value of 'SU + UT' (in cm) if the side of the square is 2 cm?
(a) 2_/2 (b) _/5 +_/2 (c) 1+2_/2 (d) _/13
5117
@vijay_chandola said:
In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum possible value of €˜SU + UT €™ (in cm) if the side of the square is 2 cm?(a) 2_/2 (b) _/5 +_/2 (c) 1+2_/2 (d) _/13
(b) ?
5118
@vijay_chandola said:
In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum possible value of €˜SU + UT €™ (in cm) if the side of the square is 2 cm?(a) 2_/2 (b) _/5 +_/2 (c) 1+2_/2 (d) _/13
A ?
5119
@vijay_chandola said:
In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum possible value of €˜SU + UT €™ (in cm) if the side of the square is 2 cm?(a) 2_/2 (b) _/5 +_/2 (c) 1+2_/2 (d) _/13
B?.._/5
5120
@vijay_chandola said:
In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum possible value of €˜SU + UT €™ (in cm) if the side of the square is 2 cm?(a) 2_/2 (b) _/5 +_/2 (c) 1+2_/2 (d) _/13
T-(1,0)
S-(0,2)
U-(2,y)

root(4+(y-2)^2)+root(1+y^2)

d) _/13