Quantitative Aptitude

Directions (Q.1-5): In each of the following questions, there are two equations. You have to solve both equations and give answer

(a) if x > y

(b) if x ≥ y

(c) if x < y 

(d) if x ≤ y 

(e) if x = y or relation on cannot be established

Directions (Q.6-8): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer

(a)If the statement I alone is sufficient to answer the question but the statement II alone is not 

sufficient.

(b)If the statement II alone is sufficient to answer the question but the statement I alone is not 

sufficient.

(c)If both statements I and II together are needed to answer the question.

(d) If either the statement I alone or statement II alone is sufficient to answer the question.

(e) If answer cannot be obtained from the statements I and II together but need even more data.

6.What is the salary of B in a group of A, B, C and D whose average salary is Rs. 62880?

I.  Total of the salaries of A and C is exact multiple of 8.

II. Average of the salary of A, C and D is Rs. 61665.                                

7.What is the three-digit number?

I.  The three-digit number is divisible by 9.

II. The first and the third digits are 6.

8.What is the profit earned by selling a printer for Rs. 3000.

I. The cost price of 6 such printers is equal to selling price of 5 such printers.

II.  20% profit is earned by selling each printer. 

9.A new flag is to be designed with six vertical stripes using some or all of the colour yellow, green, blue, and red. Then, the number of ways this can be made such that no two adjacent stripes have the same colour is 

(a) 12 × 81

(b) 16 × 192

(c) 20 × 125 

(d) 24 × 216

(e) None of the above

9. (a) Any of the 4 colours can be chosen for the first stripe. Any of the remaining 3 colours can be 

 used for the second stripe. The third stripe can again be coloured in 3 ways (we can repeat the colour of the first stripe but not use the colour of the second stripe).

Similarly, there are 3 ways to colour each of the remaining stripes.

∴ The number of ways the flag can be coloured is

10.A boat running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed of boat and speed of the water current, respectively.

(a) 2 : 1

(b) 3 : 2

(c) 8 : 3

(d) Couldn’t be determined 

(e) None of the above