IPMAT 2019 Question Paper IPM Rohtak Logical Reasoning. Solve questions from IPMAT 2019 Question Paper from IPM Rohtak and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Question papers, go here: IPM Sample Paper
Question 27 : Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.
Let Tanya's present age be x. We know that Tanya's grandfather's age was 8 times her age 16 years ago. 16 years ago Tanya's age was x – 16 and therefore her grandfather's age was 8(x -16). Tanya's grandfather's present age is 8(x – 16) + 16.
8 years from now Tanya's grandfather's age is 3 times Tanya's age.
8(x – 16) + 24 = 3(x + 8)
8x – 128 + 24 = 3x + 24
8x – 3x = 128 ⇒ 5x = 128
x = 1285
Tanya's present age is x = 1285
Tanya's grandfather's present age is 8(1285- 16) + 16 = 8(485) + 16
We need the ratio of Tanya's age to her grandfather's age 8 years ago.
Tanya's age 8 years ago = 1285 - 8
Tanya's age 8 years ago = 1285 - 8
Tanya's grandfather's age 8 years ago = 8(485) + 8.
Required ratio = 1285−88(485)+8 = 88424 = 1153
The ratio of ages of Tanya and her grandfather 8 years ago is 11 : 53
The question is "Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago."
Choice C is the correct answer
Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.
Privacy Policy | Terms & Conditions
CAT® (Common Admission Test) is a registered trademark of the Indian
Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi
Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093
Mobile: (91) 99626 48484 / 94459
38484
WhatsApp: WhatsApp Now
Email: info@2iim.com