1) A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?

(i) 3km
(ii) 2.5 km
(iii) 4 km
(iv) 5 km

Solution:
Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km
2) 729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be added to get a new mixture containing half milk and half water?

(i) 79 ml
(ii) 81 ml
(iii) 72 ml
(iv) 91 ml

Solution:
Milk = (729 * (7/9))=567ml
Water = (729-567)= 162ml
Let water to be added be x ml 567/(162+x) = 7/3 1701 = 1134 + 7x x = 81ml
3) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?

(i)0.3396
(ii)0.3369
(iii)0.3368
(iv)0.3338

Solution: log 0.317=0.3332 and log 0.318=0.3364, then
log 0.319=log0.318+(log(0.318-0.317)) = 0.3396
4)  A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there ?
(i)36
(ii)114
(iii)120
(iv)50

Solution:
x= 2 kg Packs
y= 1 kg packs
x + y = 150     .......... Eqn 1
2x + y = 264   .......... Eqn 2
Solve the Simultaneous equation; x = 114
so, y = 36
ANS :  Number of 2 kg Packs = 114.