20 Questions MCQ Test General Test Preparation for CUET - Test: Problems On Ages - 2
Test: Problems On Ages - 2 for CUET 2023 is part of General Test Preparation for CUET preparation. The Test: Problems On Ages - 2 questions and answers have been
prepared according to the CUET exam syllabus.The Test: Problems On Ages - 2 MCQs are made for CUET 2023 Exam. Find important
definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problems On Ages - 2 below.
Solutions of Test: Problems On Ages - 2 questions in English are available as part of our General Test Preparation for CUET for CUET & Test: Problems On Ages - 2 solutions in
Hindi for General Test Preparation for CUET course. Download more important topics, notes, lectures and mock
test series for CUET Exam by signing up for free. Attempt Test: Problems On Ages - 2 | 20 questions in 40 minutes | Mock test for CUET preparation | Free important questions MCQ to study General Test Preparation for CUET for CUET Exam | Download free PDF with solutions
Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5 . Four years hence, the ratio of their ages will be 11 : 10 . What is Saroj's age at present?
Detailed Solution for Test: Problems On Ages - 2 - Question 3
Given that, six years ago, the ratio of the ages of Vimal and Saroj = 6 : 5
Hence we can assume that age of Vimal six years ago = 6x
age of Saroj six years ago = 5x
After 4 years, the ratio of their ages = 11 : 10
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?
Detailed Solution for Test: Problems On Ages - 2 - Question 5
Let my age = x
My brother's age = x + 3
My mother's age = x + 26
My sister's age = ( x + 3 ) + 4 = x + 7 My father's age = ( x + 7 ) + 28 = x + 35
Age of my father when my brother was born = x + 35 − ( x + 3 ) = 32
The present ages of A,B and C are in proportions 4 : 7 : 9 . Eight years ago, the sum of their ages was 56 . What are their present ages (in years)?
Detailed Solution for Test: Problems On Ages - 2 - Question 6
Let present age of A,B and C be 4 x , 7 x and 9 x respectively.
Hence present age of A, B and C are
4 × 4 , 7 × 4 and 9 × 4 respectively.
i.e., 16 , 28 and 36 respectively.
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?
Detailed Solution for Test: Problems On Ages - 2 - Question 10
Let age of the son before 10 years = x and age of the father before 10 years = 3 x
(3x + 20 ) = 2 ( x + 20 )
⇒ x = 20
Age of the son at present = x + 10 = 20 + 10 = 30
Age of the father at present = 3 x + 10 = 3 × 20 + 10 = 70
Required ratio = 70 : 30 = 7 : 3
If 6 years are subtracted from the present age of Ajay and the remainder is divided by 18 , then the present age of Rahul is obtained. If Rahul is 2 years younger to Denis whose age is 5 years, then what is Ajay's present age?
Detailed Solution for Test: Problems On Ages - 2 - Question 14
The ratio of the age of a man and his wife is 4 : 3 . At the time of marriage the ratio was 5 : 3 and After 4 years this ratio will become 9 : 7 . How many years ago were they married?
Detailed Solution for Test: Problems On Ages - 2 - Question 15
Let the present age of the man and his wife be 4 x and 3 x respectively.
After 4 years this ratio will become 9 : 7 ⇒ ( 4 x + 4 ) : ( 3 x + 4 ) = 9 : 7
⇒ 7 ( 4 x + 4 ) = 9 ( 3 x + 4 )
⇒ 28 x + 28 = 27 x + 36
⇒ x = 8
Present age of the man = 4 x = 4 × 8 = 32
Present age of his wife = 3 x = 3 × 8 = 24
Assume that they got married before t years. Then,
( 32 − t ) : ( 24 − t ) = 5 : 3
⇒ 3 ( 32 − t ) = 5 ( 24 − t )
⇒ 96 − 3 t = 120 − 5 t
⇒ 2 t = 24
The product of the ages of Syam and Sunil is 240 . If twice the age of Sunil is more than Syam's age by 4 years, what is Sunil's age?
Detailed Solution for Test: Problems On Ages - 2 - Question 16
Let age of Sunil = x
and age of Syam = y
xy = 240 ⋯ ( 1 )
Substituting equation ( 2 ) in equation ( 1 ) . We get
We got a quadratic equation to solve.
Always time is precious and objective tests measure not only how accurate you are but also how fast you are. We can solve this quadratic equation in the traditional way. But it is more easy to substitute the values given in the choices in the quadratic equation (equation 3 ) and see which choice satisfy the equation.
Here, option A is 10 . If we substitute that value in the quadratic equation, x ( x − 2 ) = 10 × 8 which is not equal to 120
Now try option B which is 12 . If we substitute that value in the quadratic equation, x ( x − 2 ) = 12 × 10 = 120 . See, we got that x = 12
Hence Sunil's age = 12
(Or else, we can solve the quadratic equation by factorization as,
Since x is age and cannot be negative, x = 12
Or by using quadratic formula as
In this test you can find the Exam questions for Test: Problems On Ages - 2 solved & explained in the simplest way possible.
Besides giving Questions and answers for Test: Problems On Ages - 2, EduRev gives you an ample number of Online tests for practice
Find all the important questions for Problems On Ages - 2 at EduRev.Get fully prepared for Problems On Ages - 2 with EduRev's comprehensive question bank and test resources.
Our platform offers a diverse range of question papers covering various topics within the Problems On Ages - 2 syllabus.
Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered.
The questions are designed to challenge you and help you gain confidence in tackling the actual exam.
Maximize your chances of success by utilizing EduRev's extensive collection of Problems On Ages - 2 resources.
Problems On Ages - 2 MCQs with Answers
Prepare for the Problems On Ages - 2 within the CUET exam with comprehensive MCQs and answers at EduRev.
Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus.
Access the best books, study materials, and notes curated by toppers to enhance your preparation.
Stay updated with the exam date and receive expert preparation tips and paper analysis.
Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.
Online Tests for Problems On Ages - 2 General Test Preparation for CUET
Practice with a wide array of question papers that follow the exam pattern and syllabus.
Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement.
Access detailed solutions and explanations for each test to enhance your understanding of concepts.
With EduRev's Online Tests, you can build confidence, boost your performance, and ace Problems On Ages - 2 with ease.
Join thousands of successful students who have benefited from our trusted online resources.