Data interpretation & sufficiency: practice set 2

Directions for the following 5 (five) items: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly.

Question: For two distinct real numbers x and y, which of them is bigger?

1. Statement I: x² < y < 1
2. Statement II: y < √x < 1

Directions for the following 5 (five) items: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly.

Question: If x, y and z are integers, each greater than 1, then is x a prime number?

1. Statement I: xy² = 116
2. Statement II: xz = 261

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question:

Let P, Q, R, S be distinct non-zero digits. If PP × PQ = RRSS, where P ≤ 3 and Q ≤ 4, then what is Q equal to?

1. Statement I: R = 1.
2. Statement II: S = 2.

Which one of the following is correct in respect of the above Question and the Statements?

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question:

Is (p + q)² − 4pq, where p, q are natural numbers, positive?

1. Statement I: p < q.
2. Statement II: p > q.

Which one of the following is correct in respect of the above Question and the Statements?

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

1. Question: What are the unique values of x and y, where x, y are distinct natural numbers?
2. Statement–I: x / y is odd.
3. Statement–II: xy = 12

Which one of the following is correct in respect of the above Question and the Statements?

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

There are three distinct prime numbers whose sum is a prime number.

1. Question: What are those three numbers?
2. Statement–I: Their sum is less than 23.
3. Statement–II: One of the numbers is 5.

Which one of the following is correct in respect of the above Question and the Statements?

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

P, Q, R and S appeared in a test.

1. Question: Has P scored more marks than Q?
2. Statement–I: The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S.
3. Statement–II: The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.

Which one of the following is correct in respect of the above Question and the Statements?

Question: Is (p + q − r) greater than (p − q + r), where p, q and r are integers?

1. Statement-1: (p − q) is positive.
2. Statement-2: (p − r) is negative.

Which one of the following is correct in respect of the above Question and the Statements?

For five children with ages a < b < c < d < e; any two successive ages differ by 2 years.

Question: What is the age of the youngest child?

1. Statement-1: The age of the eldest is 3 times the youngest.
2. Statement-2: The average age of the children is 8 years.

Which one of the following is correct in respect of the above Question and the Statements?

Consider the Question and two Statements given below in respect of three cities P, Q and R in a State:

1. Question: How far is city P from city Q?
2. Statement–1: City Q is 18 km from city R.
3. Statement–2: City P is 43 km from city R.

Which one of the following is correct in respect of the Question and the Statements?

Six lectures A, B, C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m.

Consider the Question and two Statements given below:

1. Question: Which lecture is in the third period?
2. Statement–1: Lecture F is preceded by A and followed by C.
3. Statement–2: There is no lecture after lecture B.

Which one of the following is correct in respect of the Question and the Statements?

Consider two Statements and a Question:

1. Statement-1: Each of A and D is heavier than each of B, E and F, but none of them is the heaviest.
2. Statement-2: A is heavier than D, but is lighter than C.
3. Question: Who is the heaviest among A, B, C, D and E?

Which one of the following is correct in respect of the Statements and the Question?

A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16% and water corresponds to 70%. If both proteins and the other dry elements correspond to p%, then what is the central angle of the sector representing p on the pie diagram?

Two Statements S1 and S2 are given below followed by a Question:

1. S1.n is a prime number.
2. S2.n leaves a remainder of 1 when divided by 4.
3. Question: If n is a unique natural number between 10 and 20, then what is n?

Which one of the following is correct in respect of the above Statements and the Question?

Consider the following data:

For which period was the natural growth rate maximum?

Directions for the following 3 (three) items: The following three items are based on the graph given below which shows imports of three different types of steel over a period of six months of a year. Study the graph and answer the three items that follow.

The figures in the brackets indicate the average cost per ton over six months period.

What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?

Directions for the following 2 (two) items: Consider the following graph in which the birthrate and death rate of a country are given, and answer the two items that follow.

With reference to the above graph, consider the following statements considering 1970 as base year:

1. 1.Population has stabilized after 35 years.
2. 2.Population growth rate has stabilized after 35 years.
3. 3.Death rate has fallen by 10% in the first 10 years.
4. 4.Birthrate has stabilized after 35 years.

Which of the above are the most logical and rational statements that can be made from the above graph?

Consider the following graphs. The curves in the graphs indicate different age groups in the populations of two countries A and B over a period of few decades:

With reference to the above graphs, which of the following are the most logical and rational inferences that can be made?

1. 1.Over the last two and a half decades, the dependency ratio for country B has decreased.
2. 2.By the end of next two and a half decades, the dependency ratio of country A will be much less than that of country B.
3. 3.In the next two decades, the work-force relative to its total population will increase in country B as compared to country A.

Select the correct answer using the code given below.

Directions for the following 2 (two) items: The following table gives the GDP growth rate and Tele-density data of different States of a country in a particular year. Study the table and answer the two items that follow.

With reference to the above table, the following assumptions have been made:

1. 1.Nowadays, prosperity of an already high performing State cannot be sustained without making further large investments in its telecom infrastructure.
2. 2.Nowadays, a very high Tele-density is the most essential condition for promoting the business and economic growth in a State.

Which of the above assumptions is/are valid?