Data interpretation & sufficiency: practice set 3

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 and y are integers, then is x even?

1. Statement I: x²y² is even.
2. Statement II: 1 + x² + y² is odd.

In a recruitment process, the selection of candidates is based on their performance in three components. The weightages of the components 1, 2 and 3 are 0.2, 0.3 and 0.5, respectively. Use the data given below and find the cutoff score if exactly three candidates are to be selected:

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

Question:

How is Q related to P?

1. Statement I: P has two sisters, R and S.
2. Statement II: R’s father is the brother of 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 values of m and n, where m and n are natural numbers?
2. Statement–I: m + n > mn and m > n.
3. Statement–II: The product of m and n is 24.

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.

A certain amount was distributed among X, Y and Z.

1. Question: Who received the least amount?
2. Statement–I: X received 4/5 of what Y and Z together received.
3. Statement–II: Y received 2/7 of what X and Z together received.

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: Is (x + y) an integer?
2. Statement–I: (2x + y) is an integer.
3. Statement–II: (x + 2y) is an integer.

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.

Age of each of P and Q is less than 100 years but more than 10 years. If you interchange the digits of the age of P, the number represents the age of Q.

1. Question: What is the difference of their ages?
2. Statement–I: The age of P is greater than the age of Q.
3. Statement–II: The sum of their ages is 11/6 times their difference.

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

In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes at least one drink.

Question: How many persons attended the party?

1. Statement-1: 50 persons took milk.
2. Statement-2: Number of persons who attended the party is five times the number of persons who took milk only.

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

Consider the Question and two Statements given below:

1. Question: Is x an integer?
2. Statement–1: x/3 is not an integer.
3. Statement–2: 3x is an integer.

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

Six persons A, B, C, D, E and F are sitting equidistant from each other around a circular table (facing the centre of the table).

Consider the Question and two Statements given below:

1. Question: Who is sitting on the immediate left of A?
2. Statement–1: B is sitting opposite to C and D is sitting opposite to E.
3. Statement–2: F is sitting on the immediate left of B.

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

A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90°, 50°, 45° and 75° respectively, then what is the percentage of expenditure on item A?

Consider the following Table:

Who is the fastest run scorer in the Test Match?

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

1. S1.There are not more than two figures on any page of a 51-page book.
2. S2.There is at least one figure on every page.
3. Question: Are there more than 100 figures in that book?

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

Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:

1. S1.Their product is 21.
2. S2.Their sum is 10.
3. Question: What are the two numbers?

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

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.

By how much (measured in thousands of tons) did the import of sheet steel exceed the import of coil steel in the first three months of the year?

Consider the following graph:

Which one of the following statements is not correct with reference to the graph given above?

Average hourly earnings per year (E) of the workers in a firm are represented in figures A and B as follows:

From the figures, it is observed that the

The graph given below indicates the changes in key policy rates made by the Central Bank several times in a year:

Which one of the following can be the most likely reason for the Central Bank for such an action?

The following graph indicates the composition of our tax revenue for a period of two decades:

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

1. 1.During the given period, the revenue from Direct Taxes as percentage of gross tax revenue has increased while that of Indirect Taxes decreased.
2. 2.The trend in the revenue from Excise Duty demonstrates that the growth of manufacturing sector has been negative during the given period.

Select the correct answer using the code given below.