XAT 2014 Quantitative Ability Solution

Quantitative Reasoning section in XAT 2014 had 31 questions. The section included quantitative ability questions, a couple of data sufficiency questions and data interpretation questions. The test paper was provided to students in 4 different order. The order that is followed in this explanation pertains to set D. Every student got the same questions and the same number of questions - only the order of questions did change.

1. x, 17, 3x - y² - 2 and 3x + y² - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:

   1. 2
   2. 3
   3. 5
   4. 7
   5. 11

   • Choice AThe sum is divisible by 2. Correct answer
   • Explanatory answer
   • Arithmetic Progression
   • Medium

2. In quadrilateral PQRS, PQ = 5 units, QR = 17 units, RS = 5 units, and PS = 9 units. The length of the diagonal QS can be:

   1. > 10 and < 12
   2. > 12 and < 14
   3. > 14 and < 16
   4. > 16 and < 18
   5. Cannot be determined

   • Choice B12 < (the length of the diagonal QS) < 14 Correct answer
   • Explanatory answer
   • Geometry: Quadrilateral & Triangles
   • Easy

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