IPMAT Question Paper 2020 | IPM Indore Quants

IPMAT Sample Paper | IPMAT Question Paper | Question 6
× IPMAT Question Paper

CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
CAT LR DI
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness
IPM Sample Paper
IPMAT 2019 Indore Verbal IPMAT 2020 Rohtak Quants IPMAT 2020 Rohtak Verbal IPMAT 2020 Rohtak LR


CAT Online Coaching
CAT Question MenuCAT Questions

IPMAT 2020 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2020 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 6 : Ashok purchased pens and pencils in the ratio 2: 3 during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio 4: 1 and paid Rs. I 12 . The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is __________.


🎉 Fabulous 3,500 off on XAT '22 crash course
Valid until 1st Dec


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2021
Online Batches Available Now!


Explanatory Answer

Ratio of pen : pencil is 2:3 and he spends Rs 86
Next time The ratio of pen and pencil is 4:1 and he spends Rs 112
Second time Ashok purchased 4 pens, So the ratio of Pen and Pencil is 4:1
Hence he purchased 4 pens and 1 pencil during his second visit
Let price of pen be 'x' and price of pencil be 'y'
Then,
4x + y = 112. -----(2)
2x + 3y = 86 -----(1)----(From first visit)

(1) Is in Ratios, so it can be 4x + 6y = 86 (or)
6x + 9y = 86 (or)
8x + 12y = 86

Since, From (2), 4 pen and a pencil costs Rs 112
4 pens and 6 pencils has too cost more than 112 (Given that Cost of a pen and pencil is a positive integer)

In that case 4x + 6y = 86 (or)
6x + 9y = 86 (or)
8x + 12y = 86
These possibilities are ruled out

Only possibility is 2x + 3y = 86

Solving (1) and (2) by Elimination Method

We get y = 12 ---> Cost of a pen
On second visit, he pays a total of Rs 112, One pencil and 4 pen.
1 Pencil costs Rs 12, 112 - 12 = Rs 100

He paid Rs 100 during his second visit for the pens.

The answer is 100

 

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com