Data Sufficiency

Practice Data Sufficiency –

In a football match, at half-time, Mahindra & Mahindra Club was trailing by three goals. Did it win the match?  

A. In the second half Mahindra & Mahindra Club scored four goals.

B. The opponent scored four goals in the match.   

Practice Data Sufficiency –

ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. 

Is the tank capacity adequate to meet ABC’s requirements?    

A. The inner diameter of the tank is at least 8 meters . 

B. The tank weighs 30,000 kg when empty, and is made of a material with density of 3 gm/cc. 

Practice Data Sufficiency –

Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square? 

A. The length of OM is twice that of OL.

B. The length of OM is 4 cm.  

Practice Data Sufficiency –

Consider integers x, y and z. What is the minimum possible value of x² + y² + z² ?

A. x + y + z = 89.

B. Among x, y, z two are equal.

Practice Data Sufficiency –

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI, of Section I is smaller than the average weight, WII, of Section II. If the heaviest student, say Deepak, of Section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI.

What is the weight of Poonam?

A. WII– WI = 1.0

B. Moving Deepak from Section II to I (without any move from I to II) makes the average weights of the two sections equal.

Practice Data Sufficiency –

Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?    

A. Twenty five per cent of the employees have engineering background.

B. Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.  

Practice Data Sufficiency –

What is the value of x, if x and y are consecutive positive even integers?

a. (x-y)*2 = 4

b. (x + y)*2 < 100

Practice Data Sufficiency –

In a single elimination tournament, any player is eliminated with a single loss. The tournament is played in multiple rounds subject to the following rules:

(Rule 1) : If the number of players, say n, in any round is even, then the players are grouped in to n/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round.

(Rule 2) : If the number of players, say n, in any round is odd, then one of them is given a bye, that is, he automatically moves on to the next round. The remaining  (n −1) players are grouped into (n −1)/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round. No player gets more than one bye in the entire tournament.

Thus, if n is even, then n/2 players move on to the next round while if n is odd, then (n + 1)/2 players move on to the next round. The process is continued till the final round, which obviously is played between two players. The winner in the final round is the champion of the tournament.

What is the number of matches played by the champion?

 A: The entry list for the tournament consists of 83 players.

 B: The champion received one bye.