A person invested Rs. 25000 in a bank for two years at simple interest at rate 30% per annum. After two years, the person invested the whole amount in another scheme for three years at compound interest of 10% pa. Find the total interest the person will earn after five years.

The population of a town increases by 17% in the first year and then decreases by 15% in the second year. If its current population is 1.32 lakh, what will be the difference between its current population and its population after two years ?

X started a business by investing Rs. 120000. 1.5 years later, Y joined the business by investing Rs. 150000, and 3.5 years later, a third person Z joined the business by investing Rs. 280000. At the end of 6.5 years, they earned a profit of Rs. 108941. What is the difference between Z's share and X's share in the profit ?

A person purchased 78 kg of rice at the rate of Rs. 50 per kg He sold 36 kg at a profit of 21%. At what rate per kg should he sell the remaining rice to obtain an overall profit of 28% ?

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

A student scored 300 marks in five subjects viz A, B, C, D and E. What is his score in A ?
(I) The average of marks scored by him in B, C, D and E is 63.
(II) His marks in A is 80% of the average of narks scored by him in all five subjects.

A. if the data in statement (I) alone are sufficient to answer the question, while the data in statement (II) alone are not sufficient to answer the question.

B. if the data in statement (II) alone are sufficient to answer the question, while 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.

If x + y + z = 51, what is the value of x,y and z ?
(I) z - x = 4
(II) z is the largest and y is the smallest number.

A. if the data in statement (I) alone are sufficient to answer the question, while the data in statement (II) alone are not sufficient to answer the question.

B. if the data in statement (II) alone are sufficient to answer the question, while 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 :

∵ x + y + z = 51 and z - x = 4

Here, total number of variables is three but only two equations are given. So, to solve the question. We need one more equations ie data are not sufficient.

What is the value of a two-digit number ?
(I) Twice the digit at ten's places is equal to 2.5 times the digit at unit's place.
(II) The sum of digit of the number is 9.

A. if the data in statement (I) alone are sufficient to answer the question, while the data in statement (II) alone are not sufficient to answer the question.

B. if the data in statement (II) alone are sufficient to answer the question, while 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.

If x + y + z = 90, what is the value of x,y and z ?
(I) y is 150% of x. (II) y is 75% of z.

A. if the data in statement (I) alone are sufficient to answer the question, while the data in statement (II) alone are not sufficient to answer the question.

B. if the data in statement (II) alone are sufficient to answer the question, while 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.

Answer & Explanation

Answer : Option
D

Explanation :

x + y + z = 90

From (I) y = 150/100 x ∴ 2y = 3x ......(I)

From (II) y = 75/100z

∴ 4y = 3z ......(2)

Because x + y + z = 90

∴ 3x + 3y + 3z = 270

From (1) and (2) taking values of 3x and 3z, 2y + 3y + 4y = 270

What is the ratio of the present ages of Rahul and Prakash ?
(I) The present age of Rahul is 140% of the present age of Prakash.
(II) The sum of the present ages of Rahul and Prakash is 96 years.

A. if the data in statement (I) alone are sufficient to answer the question, while the data in statement (II) alone are not sufficient to answer the question.

B. if the data in statement (II) alone are sufficient to answer the question, while 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
A

Explanation :

Let the present ages of Rahul and Prakash be x and y.

∴ x = 140/100 y or, x = 7/5 y

∴ x/y = 7/5

∴ Ratio of present age of Rahul to that of Prakash is 7 : 5