The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. The average age of 4 persons A, B, C and D is 40 years. Find the age of C. I. Sum of ages of A & B is 80 years. II. D is 12 years older than C.?

If the data given in the statement I alone is sufficient to answer the question whereas the data given in statement II alone is not sufficient to answer the question.
If the data given in the statement II alone is sufficient to answer the question whereas the data given in statement I alone is not sufficient to answer the question.
If the data in either statement I alone or in statement II alone is sufficient to answer the question.
If the data in either statement I & II is not sufficient to answer the question.
If the data given in both the statements I & II is necessary to answer the question.

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 5 : If the data given in both the statements I & II is necessary to answer the question.

Given data-

The average age of 4 persons A, B, C and D is 40 years.

∴ Sum of ages of A, B, C & D = 40 × 4

∴ Sum of ages of A, B, C & D = 160 years

By checking each statement individually-

Statement I-

Sum of ages of A and B is 80 years.

Let the ages of A, B, C and D be a, b, c & d.

∴ a + b + c + d = 160

80 + c + d = 160 → from statement I

∴ c + d = 80 ---- (1)

As this statement fails to mention the age of person D.

∴ Statement I alone is not sufficient to find the age of C.

Statement II-

D is 12 years older than C.

∴ d = c + 12 ---- (2)

As this statement fails to mention the age of person D.

∴ Statement II alone is not sufficient to find the age of C.

Combining information of both statements-

c + d = 80

& d = c + 12

∴ Substituting value of d in result (1)-

c + d = 80

∴ c + c + 12 = 80

∴ 2c = 80 – 12

∴ 2c = 68

∴ c = 34 years.

∴ Both statements are necessary to find required answer.

5 views Answered 2022-09-04 04:29

Related Questions

In the following question, a given question is followed by information in two statements. You have to decide the data in which statement(s) is/are sufficient to answer the question and mark your answer accordingly. I. Neha’s present age is 5 times the present age of Jyoti. II. Five years ago Neha’s age was 25 times the age of Jyoti at that time. Determine the present age of Neha?

1 Answers 6 Views

In the following question 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. The ratio between the present ages of the Barkha and Mamta is 1 : 3. Find the present age of the Mamta. Statement I: Difference between the present ages of Neha and Barkha is 22 years. Statement II: The present age of Neha is 4 years less than thrice the present age of Barkha. Statement III: Difference between the present ages of the Mamta and Barkha is 26 years.?

1 Answers 6 Views

In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Find the rate of simple interest per annum. Statement I: Shikha borrowed Rs. 2000 from Suman for two years at simple interest. Statement II: Shikha returned Rs. 2320 to Suman at the end of two years and settled the loan. Statement III: The interest paid by Shikha is Rs. 320.?

1 Answers 4 Views

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. P, Q, R, S & T are five friends. Their mean age is 22. Find the age of R. Statement I∶ Q’s age is 3 years less than T and T’s age is 8 years less than S. Statement II∶ Age of P is 20. Statement III∶ R’s age is 4 years more than the Q’s age.?

1 Answers 4 Views

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the rate of interest per annum. Statement I∶ Difference between the compound interest and simple interest earned on a certain sum in 3 years is Rs. 1024. Statement II∶ The amount doubles itself in 5 years invested in simple interest. Statement III∶ Simple interest earned in a year on the sum is Rs. 1600.?

1 Answers 5 Views

The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Suman borrowed some amount of money at compound interest for 3 years. Find the amount to be paid by her after 3 years. Statement I: Simple interest on the same sum at the same rate of interest in 5 years will be 1/4th of the principal. Statement II: The simple interest on the sum after 6 years will be Rs. 12000. Statement III: The sum borrowed is 5 times the simple interest of 4 years.?

1 Answers 5 Views

The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. Calculate the net profit percentage I) Ashwin marks price of 1 kg packet of wheat up by 50% and offers a discount of 20% on it. II) Faulty weight used by Ashwin, measures 1000 gm for 700 gm.?

1 Answers 4 Views

The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. In a family, there are 5 members, Abhay, Varun, Naman, Ajay and Kishan. Find the present age of Kishan. I. The average age of five family members is 42 years. II. The total age of Abhay, Varun and Naman is 96 years. III. The present age of Kishan is 14 years more than the age of Ajay.?

1 Answers 4 Views

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to answer the question. In a football team, the average age of eleven players is 26 years. Find the age of the goalkeeper Statement I: The goalkeeper is 11 years older than the youngest player Statement II: The average age of the 10 players other than the goalkeeper is 25.3 years Statement III: If the goalkeeper and the youngest player is not considered then the average age of the 3 groups of 3 players is 24 years, 28 years and 29 years respectively.?

1 Answers 4 Views

A question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. Average age of 8 sons and two daughters is 15 years. Find the age of elder daughter (in years) is∶ I) Difference between the age of elder daughter and the younger daughter is 6 years. II) The average age of 8 sons of a family is 12.?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)