Let the initial length and breadth be 100m each, therefore, after increase it will be 125m and 144m respectively. Initial area = 100 x 100 = 10000 sq m After increase, the area will be 125 x 144 = 18000 sq m

A man covers a certain distance on car. Had he driven 21 kmlr1 faster, he would have taken 7 hours less. If he had driven the car 13 kmlr1 slower, he would have taken 13 hours more. What is the distance ?

In a fraction, if the numerator is increased by 20% and the denominator is decreased by 40%, what will be the ratio of the first fraction to the second ?

Rajeev invested an amount of ?75000 to start a business. After 18 months his friend Suresh joined him with an amount of ?90000. At the end of 4 years they earned a profit of ?36281. What was the share of Suresh in the profit ?

Direction (Q. 6-10): Each of the questions below consists of a question and two statements (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. What is the sum of the ages of A, B and C ?
(I) The ratio of the age of A to that of B is 3 : 5
(II) The ratio of the age of B to that of C is 1 : 2.

A. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient.

B. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient.

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

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

Answer & Explanation

Answer : Option
D

Explanation :

Data is not sufficient because we need exact age of any one of A, B or C to solve the question.

What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ?
(I) The sum of the digits of a two-digit number is 14.
(II) The digit at unit place is 75% of the digit at ten's place.

A. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient.

B. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient.

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

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

What is the average age of boys in a class if the ratio of the number of boys to that of girls is 3 : 2 and the average age of the boys and girls of the class is 13 years ?
(I) The average age of the girls in the class is 11.5 years.
(ll) The difference between the number of boys and girls is 10.

A. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient.

B. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient.

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

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

Answer & Explanation

Answer : Option
D

Explanation :

Let the number of boys and girls be

3x and 2x respectively

From (II) 3x - 2x = 10

∴ x = 10

∴ boys = 3x = 30 and girls = 20

From (I), Total age of 20 girls = 11.5 x 20 = 230 years.

Total age of all boys and girls = 50 x 13 = 650 years