Data Sufficiency Rising

X receives three coins of different denominations from the set \{1, 2, 5, 10, 20\}. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I: m is not a prime number. Statement II: Th

For two distinct real numbers x and y, which of them is bigger? Statement I : x^2 < y < 1 Statement II : y < \sqrt{x} < 1

If x and y are integers, then is x even? Statement I : x^2 y^2 is even. Statement II : 1 + x^2 + y^2 is odd.

X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y?

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

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : What is the smallest 1-digit number having exactly 4 distinct factors ? Statemen

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

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 ? Statement I : P has two sisters, R and S. Statement II :

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : In a football match, team P playing against Q was behind by 3 goals with 10 minut

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 ? Statement I : p <

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : What are the values of m and n, where m and n are natural numbers? Statement-I : m + n > mn and m > n. Stat

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : What is the time required to download the software? Statement-I : The size of the software is 12 megabytes.

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : What are the unique values of x and y, where x, y are distinct natural numbers? Statement-I : x / y is odd.

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. Question : Who received the least amount? Statement-I : X received

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : If the average marks in a class are 60, then what is the number of students in the class? Statement-I : The

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. Question : What are those three numbers? Statement

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : Is (x + y) an integer? Statement-I : (2x + y) is an integer. Statement-II : (x + 2y) is an integer. Which o

A Question is given followed by two Statements I and II. Consider the Question and the Statements. A person buys three articles p, q and r for ₹ 50. The price of the article q is ₹ 16 which is the least. Question : Wha

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. Question : Has P scored more marks than Q? Statement-I : The sum of the marks scored

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

Consider the following including the Question and the Statements : There are 5 members A, B, C, D, E in a family. Question : What is the relation of E to B ? Statement-1 : A and B are a married couple. Statement-2 : D

Question : Is p greater than q ? Statement-1 : p × q is greater than zero. Statement-2 : p² is greater than q². 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 ? Statement-1 : (p − q) is positive. Statement-2 : (p − r) is negative. Which one of the following is correct in respect of the above Qu

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 ? Stat

Consider a 3-digit number. Question : What is the number ? Statement-1 : The sum of the digits of the number is equal to the product of the digits. Statement-2 : The number is divisible by the sum of the digits of the

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 ? Statement-1 : The age of the eldest is 3 times the youngest. Statement-2 : Th

Consider the Question and two Statements given below : Question : Is x an integer? Statement-1 : x/3 is not an integer. Statement-2 : 3x is an integer. Which one of the following is correct in respect of the Question

Consider the Question and two Statements given below : Question : Is Z brother of X? Statement-1 : X is a brother of Y and Y is a brother of Z. Statement-2 : X, Y and Z are siblings. Which one of the following is corr

Consider the Question and two Statements given below in respect of three cities P, Q and R in a State : Question : How far is city P from city Q? Statement-1 : City Q is 18 km from city R. Statement-2 : City P is 43 km

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 : Question : Who is sitting on the

Consider the Question and two Statements given below : Question : What is the age of Manisha? Statement-1 : Manisha is 24 years younger than her mother. Statement-2 : 5 years later, the ages of Manisha and her mother w

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 : Question : Which lecture is in the third period? Statem

Consider two Statements and a Question : Statement-1 : Priya is 4 ranks below Seema and is 31st from the bottom. Statement-2 : Ena is 2 ranks above Seema and is 37th from the bottom. Question : What is Seema's rank fro

Consider two Statements and a Question : Statement-1 : Each of A and D is heavier than each of B, E and F, but none of them is the heaviest. Statement-2 : A is heavier than D, but is lighter than C. Question : Who is t

Consider two Statements and a Question : Statement-1 : The last day of the month is a Wednesday. Statement-2 : The third Saturday of the month was the seventeenth day. Question : What day is the fourteenth of the given

Two Statements S1 and S2 are given below followed by a Question : S1 : There are not more than two figures on any page of a 51-page book. S2 : There is at least one figure on every page. Question : Are there more than

Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question : S1 : R is greater than P as well as Q. S2 : S is not the largest one. Question : Among four numbers P, Q, R an

Two Statements S1 and S2 are given below followed by a Question : S1 : n is a prime number. S2 : n leaves a remainder of 1 when divided by 4. Question : If n is a unique natural number between 10 and 20, then what is n

Two Statements S1 and S2 are given below with regard to two numbers followed by a Question : S1 : Their product is 21. S2 : Their sum is 10. Question : What are the two numbers? Which one of the following is correct i

Three Statements S1, S2 and S3 are given below followed by a Question : S1 : C is younger than D, but older than A and B. S2 : D is the oldest. S3 : A is older than B. Question : Who among A, B, C and D is the youngest

A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor. Consider the following statements : 1. The middle three floors are painted in diffe

Consider two statements S1 and S2 followed by a question : S1 : p and q both are prime numbers. S2 : p + q is an odd integer. Question : Is pq an odd integer ? Which one of the following is correct ?