Linear equations, solutions, simultaneous equations, word problems. Algebra TANCET, XAT Quant sample Questions : Ascent TANCET, XAT Classes

Ascent Education - IIM, CAT, XAT, TANCET, MBA Entrance Training Classes  
TANCET '18 Classroom Program
Other Courses
Other Links
Contact Us
+91 44 4500 8484
+91 96000 48484
Facebook / Twitter / Blog / Videos
Follow Ascent Education's TANCET prep on Facebook   Follow Ascent's TANCET prep on Twitter   TANCET MBA prep blog   TANCET MBA prep videos   Google+

You are here: Home   CAT, XAT, TANCET Prep Questions  Linear Equations   Question 4

TANCET Quant Problems : (1st order) Linear Equations

The question for the day is a sample practice problem in Linear equation. Helps understand concepts related to formulating equations from a word problem and finding solution to the equations.


A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?
  1. Rs. 105 and Rs. 6
  2. Rs. 216 and Rs. 12
  3. Rs. 210 and Rs. 12
  4. Rs. 210 and Rs. 6

Correct Answer

Choice (4). Rs. 210 and Rs. 6

Explanatory Answers

Let half of the full basic fare be Rs. X.
Therefore, full basic fare is Rs. 2X.

Let the reservation charge be Rs. Y per ticket.
Now, one full reservation ticket would cost 2X (basic fare) + Y (reservation charge)
2X + Y = 216    --- (1)

The total basic fare for one half and one full ticket = X + 2X = 3X and the total reservation charge is 2Y.
Hence, 3X + 2Y = 327    --- (2)

Solving (1) and (2) we get,
X = 105 and Y = 6

Hence, the full basic fare is 2X = Rs. 210 and the reservation charge is Y = Rs. 6

More Questions on Linear, Quadratic and Cubic Equations - Algebra

CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise


Add to Add to Stumble It Stumble It digg this digg this
Disclaimer | Privacy Policy | Terms of Use | © 2002 - 16 Ascent Education. All rights reserved.