Aptitude and Reasoning Questions

Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time

so 1/3rd of the usual time = 15min
or usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.

1747 + 13212 - ? = 1123

1237 + 15812 - ? = 353

=> ? = 1237 + 15812 - 353

=> ? = 1476 + 1106 - 98084

=> ? = 19.07

For an income of Rs.756, investment = Rs.9000 

For an income of Rs.212, investment = Rs.9000756*212 = Rs.125 

For a Rs.100 stock, investment = Rs.125.

Market value of Rs. 100 stock  = Rs.125-14 = Rs. 124.75

Given X can do in 10 days 

=> 1 day work of X = 1/10

Y can do in 15 days 

=> 1 day work of Y = 1/15

1day work of (X + Y) = 1/10 + 1/15 = 1/6

Given they are hired for 5 days

 => 5 days work of (X + Y) = 5 x 1/6 = 5/6

 Therefore, Unfinished work = 1 - 5/6 = 1/6 

Given,
Compound rate, R = 10% per annum
Time = 2 years
C.I = Rs. 420
Let P be the required principal.
A = (P+C.I)
Amount, A = P1 + r100n

(P+C.I) = P1 + 101002

(P+420) = P[11/10][11/10]

P-1.21P = -420

0.21P = 420

Hence, P = 420/0.21 = Rs. 2000

The remainder on the first card can be 0,1,2 or 3 i.e 4 possibilities.
The remainder of the number on the next card when divided by 4 can have 3 possible values (except the one occurred earlier).

For each value on the card the remainder can have 3 possible values.

The total number of possible sequences is: 4*3^4

"Censure" means expressing formal disapproval. "Enthral" means spellbound or enchant, which is farthest in meaning to the given word.

r=I/PT