Quantitative Aptitude Test 6

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1. a,b & c are sides of a triangle. If a² + b² + c² = ab + bc + ac then the triangle will be

isosceles

right angled

equilateral

obtuse angle

2. If f ( 0, y ) = y + 1, f (x + 1, y) = f ( x , f (x, y )) Then, what is the value of f(1,2)?

3. There are seven consecutive natural numbers such that the average of the first five is n. then average of all seven numbers will be?

n+2/7

n + 1

kn + 1/k where k is a positive constraint.

4. A and B are two cities 10 Km apart. A load of 80 Kg has to be transported from A to B. the courier service is charges @ 10 Rs per hour. The optimal speed that one can go without load is 10 Km/ hr, the speed reduces to 5 Km/hr with a weight of10 Kg. Further with 20 Kg (which is the maximum weight that can be carried), the speed is 2 km/hr. What is the minimum cost?

200

160

140

180

5. There are two tanks, one cylindrical and the other conical. The cylindrical tank contains 500 litre limca more than the conical tank. 200 litres is removed both from the cylindrical and conical tank. Now the cylindrical tank contains double the volume of liquid in the conical tank. What is the capacity of the cylindrical tank in litre?.

1200

1000

800

700

6. If the perimeter of a triangle is 14 and the sides are integers, then how many different Triangles are possible?

7. If x, y and z are odd integers which of the following is necessarily false?

( x - y) z is even

(x - y ) (z + y ) x is even

(x - y - z ) (x + z ) is odd

xyz is odd

8. In addition to the three operations in above problem, the fourth operation performed is Drain A. What operations should follow so that A contains four litres of liquid?

Fill (B,A) , Fill (C,A)

Empty (B,A) , Drain (c)

Empty (B,A) , Empty (C,A)

Fill (A,B) , Fill(A,C)

9. There are three vessels A,B, and C with capacities 5, 3 and 2 respectively. There is a computer program that can perform certain functions as described below:
Drain (Y) : drains the liquid in a vessel Y.Fill (X,Y) : fill amount from Y into X such that the amount of liquid withdrawn from Yis equal to the liquid in X.Empty (X,Y) : empty amount from Y into X such that the amount left in Y is equal to the amount of liquid in X.

The following operations are performed in succession
1. Fill (C,A) 2. ——— 3. Fill (C,A)

What should the second operation be if after the three operations A should contain one litre of liquid?

Fill (B,C)

Fill (C,B)

Empty (C,B)

Empty (B,C)

10. A, B and C are 3 cities that form a triangle & where every city is connected to every other one by at least one direct root. There are 33 routes direct & indirect from A to C & there are 23 routes from B to A. How many direct routes are there from A to C?

10

20

15

25

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