United India Insurance AO Exam 2013 Question Paper

Total number of students studying B.Sc in all the Colleges together

= 375 + 350 + 325 + 400 + 450 

= 1900

Total number of students studying B.Sc. in the colleges C and E together

= 325 + 450 = 775

Total number of students studying B.A. in the Colleges A and B together 

= 300 + 325 = 625

=> Required ratio = 775 : 625 = 31 : 25

Total number of students studying B.Sc in all the Colleges together

= 375 + 350 + 325 + 400 + 450 = 1900

Total number of students studying B.A in all the Colleges together 

= 300 + 325 + 350 + 475 + 350 = 1800

Total number of students studying B.Com. in all Colleges together 

= 450 + 480 + 350 + 450 + 250 = 1980

=> Required ratio = 1900 : 1800 : 1980

= 95 : 90 : 99

Number of students studying B.Com in College C = 350

Total number of students studying B.Com. in all Colleges together 

= 450 + 480 + 350 + 450 + 250 = 1980

=> Required % = $$\frac{350}{1980} \times 100$$

= $$17.67 \% \approx 17 \%$$

Number of students studying B.A in College B = 325

Total number of students studying all the disciplines together in College B = 325 + 350 + 480 = 1155

=> Required % = $$\frac{325}{1155} \times 100 = 28.13 \%$$

Statement A : A number when multiplied by an odd number results in an odd number, this can only be possible iff the number is an odd number.

Thus, yes, A is an odd number.

Statement A alone is sufficient.

Statement B : Any number which is not divisible by 2 is an odd number.

Thus, A is an odd number.

Statement B alone is also sufficient.

$$\therefore$$ Either statement alone is sufficient.

Let age of Pradumn = $$21x$$

=> Age of Gunit = $$15x$$

Statement A : Ratio of Pradumn and Nandini's age = 3 : 1

Since, Pradumn's age = $$21x$$

=> Nandini's age = $$7x$$

We cannot find Pradumn's exact age. Thus, this statement alone is insufficient.

Similarly, statement B alone is not sufficient.

Even if we combine both statement,the same problem arises.

Thus, both statements even together are not sufficient.

Average salary of the 4 persons = Rs. 62,880

=> Total salary = $$A + B + C + D = 62,880 \times 4 = 2,51,520$$ -----------(i)

Statement A : There is no information about the salary of D. Thus, we can't find the salary of B

Statement A alone is not sufficient.

Statement B : Average of A,C and D = Rs. 61,665

=> $$A + C + D = 61,665 \times 3 = 1,84,995$$ ----------------(ii)

Subtracting eqn (ii) from (i)

=> $$B = 2,51,520 - 1,84,995 = 66,525$$

Thus, statement B alone is sufficient.

Statement A : The three digit number is divisible by 9. There are many possibilities.

Statement B : First and last digit of the number is 6. There are still many possibilities = 606,616,626,...

Combining both statements, we get that the number is of the form = $$6 x 6$$

For the number to be divisible by 9, $$6 + x + 6 = (12 + x)$$ should be divisible by 9.

The only possibility is if $$x = 6$$

Three digit number = 666

Thus, both statements are required to answer the question.

S.P. = $$Rs. 3,000$$

Statement A : Let C.P. of 1 printer = $$Rs. x$$

=> $$6x = 5 \times 3000$$

=> $$x = 5 \times 500 = Rs. 2,500$$

=> Profit = $$3,000 - 2,500 = Rs. 500$$

Thus, statement A is sufficient.

Statement B : Profit % = 20 %

Let C.P. of 1 printer = $$Rs. x$$

=> $$x + \frac{20}{100} x = 3000$$

=> $$\frac{6 x}{5} = 3000$$

=> $$x = 5 \times 500 = Rs. 2,500$$

=> Profit = $$3,000 - 2,500 = Rs. 500$$

Thus, statement B is sufficient.

$$\therefore$$ Either statement alone is sufficient.