## Monday, August 17, 2015

### AMCAT Quantitative Ability Previous Papers-5

41) The length of the rectangle varies inversely with its width. If the length of the rectangle is 60 feet and width is 24 feet find the length of the rectangle when its width is 40 feet?
36 feet               100 feet            25 feet               20feet
Ans: The answer is not solved, please comment the answer and it would be updated for others help

42) Sum of money triples itself at compound interest in 2 years. In 9 years it will be.
6 times the principle    12 times the principle 18 times the principle 27 times the principle
Solution:
3p=p(1+r/100)
now as per ques 3p^3=(p(1+r/100))^3
thus (1+r/100)=27,,,, hence ans is 27 times the pricipal.

43) Nitish sold his watch and sun glassesat a loss of 4% and gain of 4% respectively for 2600 to Kamal. Kamal sold the same sun glasses and watch at a loss of 4% and gain of 4% respectively for 2700. The price of watch and sun glasses to Nitish were.
(Rs.1960, Rs.700)           (Rs.2000, Rs.1000)         (Rs.1500, Rs.700)           (Rs.800, Rs.2000)

Solution:
Let the CP of watch be Rs x and sunglasses be Rs y.
2600=96x/100 + 104y/100
2700= 104x/100 + 96y/100
On solving,
y=700
x=1960

44) Problem question: What is the 5thnumber?
Statements:
1) 1st and 2nd numbers are 1 and 2 respectively.
2) 3rd and 4th numbers are 3 and 4 respectively.
Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements put together is sufficient
Both statements even put together is not sufficient
Either of 2 statements are individually is sufficient
Ans: The answer is not solved, please comment the answer and it would be updated for others help

45)  EK : VP :: GM :
TN       NT       UN      VN
Ans: The answer is not solved, please comment the answer and it would be updated for others help

46) In a certain code REINFORCE is written as ENOCRIFRE. How is ATTEMPT written in that code?
ATMTTEPS       TEPSATMT       TEMPSATT       ATTTEMPS
Ans: The answer is not solved, please comment the answer and it would be updated for others help

47) In a certain code, ASSUMPTION is written as 1113472065. How is KNOWLEDGE written in that code?
254545475        256565675        256535475        256565475
Ans: The answer is not solved, please comment the answer and it would be updated for others help

48) A tourist has strayed from his path while on his way to his hotel. He moves 28km towards south, then he moves 20km towards west, then 4km north and then 2km towards east to reach his hotel. What is the distance of shortest possible route?
45 km                 20km                  18km                  30km

Solution:
AB=28km toward south
BC=20km toward west from B
CD=4km toward north from C
DE=2km toward east from D
EF=BC-DE=18km
AF=AB-CD=24km
in Triangle,AFE
AE=sqrt(24^2+18^2)=sqrt(900)=30km

49) Two friend Raman and Rajan starts a race and run together for 20km towards east. From there Raman runs 10km towards north east and Rajan continues in the east for 8km. How far are the two friends now from each other?
6km
20km
18km
30km
Ans: 6 Kms - Pythagorean triangle with hypotenuse 10 and base 8.so height is 6KM

50) 8,8,6,2,..
-4
-3
3
4
Ans: The answer is not solved, please comment the answer and it would be updated for others help