The difference between the simple interest and the compound interest compounded every six months at the rate of 16% pa at the end of two years is Rs. 60733.44. What is the amount ?

There is sufficient food for 372 men for 36 days. After 15 days, 120 men left the place. For how many days will be rest of the food last for the rest of the men ?

Direction (Q. 6-10) : Each of the question below consided of a question and two statements I and II given below it. You have to decide wheather the data provided in the statements are sufficient to answer the question. Read both the statements.

What is the present age of A ?
I. The ratio of the present ages of A to B is 16:5
ll. After eight years, the ratio of the ages of A to B will be 18:7

A. If the data in statement I alone are sufficient but the data in statement II alone are not sufficient to answer the question.

B. If the data in statement II alone are sufficient but the data in statement I alone are not sufficient to answer the question.

C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

D. If the data in both statements I and II together are necessary to answer the question.

In a two-digit number, the digit at ten's place is 140% of the digit at unit's place. What is the number ?
I. The digit at unit's places is 71 3/7% of the digit at ten's place.
ll. The sum of digit of the two-digit number is 12.

A. If the data in statement I alone are sufficient but the data in statement II alone are not sufficient to answer the question.

B. If the data in statement II alone are sufficient but the data in statement I alone are not sufficient to answer the question.

C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

D. If the data even in both statements I and II together are not sufficient to answer the question.

What is the population of a city in the year 2010 if its population increases by 10% per year.
I. The difference between its population in the year 2011 and that in the year 2009 is 2100.
II. The sum of the population in the year 2009 and that in the year 2011 in 22100.

A. If the data in statement I alone are sufficient but the data in statement II alone are not sufficient to answer the question.

B. If the data in statement II alone are sufficient but the data in statement I alone are not sufficient to answer the question.

C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

D. If the data in both statements I and II together are necessary to answer the question.

What is the population of a city in the year 2010 if its population increases by 10% per year.
I. The difference between its population in the year 2011 and that in the year 2009 is 2100.
II. The sum of the population in the year 2009 and that in the 2011 is 22100.

A. If the data in statement I alone are sufficient but the data in statement II alone are not sufficient to answer the question.

B. If the data in statement II alone are sufficient but the data in statement I alone are not sufficient to answer the question.

C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

D. If the data even in both statements I and II together are not sufficient to answer the question.

Answer & Explanation

Answer : Option
C

Explanation :

Let the population of the city be x in the year 2010. So, its population in the year 2009 is 100x/110 and that in the year 2011 is

How many marks did Rohit score in Physics ?
I. Total marks scored by him in Physics, Chemistry and Biology is 17.
II. Marks scored by him in Physics is 1.5 times the marks scored by him in Biology.

A. If the data in statement I alone are sufficient but the data in statement II alone are not sufficient to answer the question.

B. If the data in statement II alone are sufficient but the data in statement I alone are not sufficient to answer the question.

C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

D. If the data even in both statements I and II together are not sufficient to answer the question.

Answer & Explanation

Answer : Option
D

Explanation :

Let his marks in Phy, Chem and Bio be x y and z respectively

From (I) : x + y + z = 170 .............(I)

From (II) : x = 3/2 z ∴ 2x = 3z ........(II)

As there are three variable so we need one more equations to solve this question.