“Problems Based on Age” is a common chapter in competitive exams such as Railway, SSC and Bank. Many students prepare their maths from different platforms. Let’s check your ability…
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Practice Questions of Problems Based on AGE
Problems Based on AGE Question 1
The present age of Seema is one-fourth that of her Uncle. After 6 years the Uncle’s age will be twice the age of Rahul. If Rahul celebrated the fifth birthday 8 years ago. What is Seema’s present age? सीमा की वर्तमान आयु उसके चाचा की आयु से एक-चौथाई है। 6 साल के बाद सीमा के चाचा की आयु राहुल से दोगुनी होगी। अगर राहुल ने 8 वर्ष पहले अपना पांचवा जन्मदिन मनाया। सीमा की वर्तमान आयु क्या है? a. 6 Years b. 8 Years c. 7 Years d. 9 Years
Shortcut Trick: Rahul celebrated his 5th birthday 8 years ago. The present age of Rahul = 13 After 6 years, Uncle’s age will be twice of the Rahul. 2x(13+6) = 4X+6 X= 8 years Seema Present age is = 8 years
Basic Method: Let present age of Seema is X, then Uncle’s age = 4X 6 years hence, Uncle’s age = 4X+6 2 (Age of Rahul) = 4X+6 Age of Rahul = 2X+3 Present age of Rahul = 2X+3-6 = 2X-3 Rahul celebrated his 5th bairthday 8 years ago So, Present age of Rahull is 5+8 = 13 years 2X-3 = 13 2X = 16 X = 8 years. Seema Present age is = 8 years
Question 2
The sum of the ages of a student and teacher is 56 yrs. After 4 yrs, the age of the teacher will be three times that of the student. What is the present age of the student? एक छात्र और शिक्षक की आयु का योग 56 वर्ष है। 4 वर्ष के बाद, शिक्षक की आयु छात्र की तुलना में तीन गुना होगी। छात्र का वर्तमान आयु क्या है? a. 10 Years b. 14 Years c. 12 Years d. 16 Years
Solution: Let the age of the student be x yrs. Then, the age of the teacher is (56 – x) yrs. After 4 yrs, 3(x+4) = 56 – x +4 Or, 4x =56 +4 – 12 = 48 x = 12 yrs Thus, the student’s age = 12 years
Age Question 3
The ratio of Manish’s age 4 years ago and Anil’s age after 4 years is 1 : 1. If at present, the ratio of their ages is 5 : 3, then find the ratio between Manish’s age 4 years hence and Anil’s age 4 years ago. मनीष की आयु का अनुपात 4 वर्ष पहले और अनिल की आयु 4 वर्ष के बाद 1: 1. है। यदि वर्तमान में, उनकी आयु का अनुपात 5: 3 है, तो मनीष की आयु 4 वर्ष और अनिल की आयु 4 वर्ष के बीच का अनुपात ज्ञात कीजिए। a. 1 : 3 b. 3 : 1 c. 4 : 3 d. 3 : 4
Solution: the ratio between Manish’s age 4 years hence and Anil’s age 4 years ago. Manish’s Age : (5X+ 4) Anil’s Age: (3X – 4) The ratio of Anil’s age and Manish’s age (5X+4)/(3X-4)= 24/8 = 3/1 = 3:1
Question 4
Reena got married 8 years ago. Today her age is 9/7 time her age at the time of her marriage. At present, her daughter’s age is 1/6 of her age. What was her daughter’s age 3 years ago? रीना की शादी 8 साल पहले हुई थी। आज उसकी उम्र उसकी शादी के समय उसकी उम्र से 9/7 है। वर्तमान में, उनकी बेटी की उम्र उसकी उम्र का 1/6 है। 3 साल पहले उसकी बेटी की उम्र क्या थी? a. 6 Years b. 3 Years c. 2 Years d. 5 Years
Solution: Let the present age of Reena = X yrs. Hence, X= (X-8) x 9/7 x=36 years. So present age of daughter = 1/6 x 36 = 6 years. 3 years age of daughter = 6-3 = 3 years.
Problems Based on AGE Question 5
If the average age of a class is 15 years (including the age of the teacher); that of the boys is 10 years and if the age of the teacher is 13 years more than the average age of the girls , then what is the average age of the girls, given that the number of boys and girls is the same? यदि किसी कक्षा की औसत आयु 15 वर्ष है (शिक्षक की आयु सहित); लड़कों की औसत आयु 10 वर्ष है और यदि शिक्षक की आयु लड़कियों की औसत आयु से 13 वर्ष अधिक है, तो लड़कियों की औसत आयु क्या है, यह देखते हुए कि लड़कों और लड़कियों की संख्या समान है? a. 10 b. 12 c. Can’t be determined/निर्धारित नहीं किया जा सकता है e. None of these/इनमें से कोई नहीं
Solution: Let the number of boys = the number of girls = n Hence, the total age of boys = 10n Let the average age of girls = x Hence, the total age of girls = nx Total age of the class = 10n + nx + x + 13 Total number of people in the class = n + n + 1 = 2n + 1 Average age of the class = (10n + nx + x + 13)/(2n + 1) = 15 Since this is a single linear equation in two variables, a unique solution can’t be found. Therefore, the average age of girls cannot be determined.
Problem Based on Age Exam Details
Exam Practice Name
Age
Number of Questions
20
Type of Questions
MULTIPLE CHOICE
Languages
English / Hindi
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Problems Based on AGE Free Online Test Set-1
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Question 1 of 20
1. Question
The present age of Rajeev’s mother is four times Rajeev’s present age. Five years back he was seven times as old as Rajeev was at that time. What is the present age of Rajeev’s mother?
राजीव की माँ की वर्तमान आयु राजीव की वर्तमान आयु से चार गुना है। पांच साल पहले वह उस समय राजीव से सात गुना थी, तो राजीव की माँ की वर्तमान आयु कितनी है?
Correct
Let the present age of Rajiv be = x years The present age of Rajiv’s mother = 4x years The age of Rajiv 5 years back = x – 5 years, The age of Rajiv’s mother 5 years back = 4x – 5 years As per the question 4x – 5 = 7(x – 5) → 4x – 5 = 7x – 35 or 3x = 30 or x = 10 Therefore,the present age of Rajiv is 10 years. The present age of Rajiv’s mother is 40 years.
Incorrect
Let the present age of Rajiv be = x years The present age of Rajiv’s mother = 4x years The age of Rajiv 5 years back = x – 5 years, The age of Rajiv’s mother 5 years back = 4x – 5 years As per the question 4x – 5 = 7(x – 5) → 4x – 5 = 7x – 35 or 3x = 30 or x = 10 Therefore,the present age of Rajiv is 10 years. The present age of Rajiv’s mother is 40 years.
Question 2 of 20
2. Question
Rahul’s brother is 3 years elder to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, the ages of Rahul’s father and mother respectively when his brother was born were?
राहुल का भाई उनसे 3 साल बड़ा है। उनके पिता की उम्र 28 साल थी जब उनकी बहन का जन्म हुआ था जबकि उनकी माँ की उम्र 26 साल थी जब वह पैदा हुई थी। यदि उनकी बहन की आयु 4 वर्ष थी, जब उनके भाई का जन्म हुआ था, तो राहुल के पिता और माता की आयु क्रमशः थी?
Correct
Let the present age of Rahul’s be x years Then,the present age of his brother is x + 3 and his sister is x + 7 years. Age of father when his sister was born = 28, Age of father when his brother was born = 28 + = 32 years. (Because his brother is 4 years younger to his sister). Age of mother when Rahul’s was born = 26, Age of mother when his brother was born = 26 – 3 = 23 years, (because Rahul’s is 3 years younger to his brother). Ages of Rahul’s father and mother were 32 years and 23 years respectively
Incorrect
Let the present age of Rahul’s be x years Then,the present age of his brother is x + 3 and his sister is x + 7 years. Age of father when his sister was born = 28, Age of father when his brother was born = 28 + = 32 years. (Because his brother is 4 years younger to his sister). Age of mother when Rahul’s was born = 26, Age of mother when his brother was born = 26 – 3 = 23 years, (because Rahul’s is 3 years younger to his brother). Ages of Rahul’s father and mother were 32 years and 23 years respectively
Question 3 of 20
3. Question
The product of the ages of Meena and Monu is 240 years. The sum of the ages of Meena 4 years hence and Monu 10 years before is 25 years. Find the present age of Monu. मीना और मोनू की उम्र का गुणनफल 240 वर्ष है। मीना की उम्र का योग 4 साल और मोनू 10 साल पहले 25 साल है। मोनू की वर्तमान आयु ज्ञात कीजिए।
Correct
Incorrect
Question 4 of 20
4. Question
Ten years ago, the average age of a group of 4 members was 25 years, 2 children having been born (with age difference 2 years), the present average age of the family is the same. The present age of the youngest child is.
दस साल पहले, 4 सदस्यों वाले परिवार की औसत आयु 25 वर्ष थी, 2 बच्चे पैदा हुए, (उम्र के अंतर के साथ 2 वर्ष), परिवार की वर्तमान औसत आयु समान है। सबसे छोटे बच्चे की वर्तमान आयु है –
Correct
Total age of the family members ten years ago was 25× 4 = 100. Total age of the family members at present is 25× 6 = 150. Total age of 4 family members over ten years is 4× 10 = 40 years. Therefore,total age of the family members without children = 100 + 40 = 140 Thus the total age of children = 150 – 140 = 10 years. Therefore,the only condition in which the difference between the ages of children is 2 years and totals to 10 years is 6 and 4.Hence,the age of the youngest child is 4 years.
Incorrect
Total age of the family members ten years ago was 25× 4 = 100. Total age of the family members at present is 25× 6 = 150. Total age of 4 family members over ten years is 4× 10 = 40 years. Therefore,total age of the family members without children = 100 + 40 = 140 Thus the total age of children = 150 – 140 = 10 years. Therefore,the only condition in which the difference between the ages of children is 2 years and totals to 10 years is 6 and 4.Hence,the age of the youngest child is 4 years.
Question 5 of 20
5. Question
The ratio of the present age of mother and her daughter is 7:2. After 10 years their ages will be in the ratio of 9 : 4. The present age of mother is –
माँ और उसकी बेटी की वर्तमान आयु का अनुपात 7: 2 है। 10 वर्ष बाद उनकी आयु 9: 4 के अनुपात में होगी। वर्तमान में माता की आयु है –
Correct
Let the present age of the daughter and the mother be 7x and 2x. Their ages after 10 years will be 7x + 10 and 2x + 10. Therefore,the ratio = 7x + 10∶ 2x + 10 = 9∶ 4 Now,the product of the means = the product of the extremes. ⇒(2x + 10) 9 = (7x + 10) 4 ⇒ 18x + 90 = 28x + 40 ⇒ 10x = 50 ⇒X = 5 Hence the present age of mother = 7 x 5 = 35 years.
Incorrect
Let the present age of the daughter and the mother be 7x and 2x. Their ages after 10 years will be 7x + 10 and 2x + 10. Therefore,the ratio = 7x + 10∶ 2x + 10 = 9∶ 4 Now,the product of the means = the product of the extremes. ⇒(2x + 10) 9 = (7x + 10) 4 ⇒ 18x + 90 = 28x + 40 ⇒ 10x = 50 ⇒X = 5 Hence the present age of mother = 7 x 5 = 35 years.
Question 6 of 20
6. Question
Sunil is twice as old as Amrit. Amrit is of Arun. After 5 years Arun will be equal to present age of Sunil. What is the present age of Amrit?
सुनील, अमृत से दोगुना उम्र का है। अरुण की आयु का अमृत 2/3 है। 5 साल बाद अरुण, सुनील की वर्तमान उम्र के बराबर हो जाएगा। अमृत की वर्तमान आयु क्या है?
Correct
Incorrect
Question 7 of 20
7. Question
Present age of Kinjel is 8 years less than Ritu’s present age. If 3 years ago Ritu’s age was x, which of the following represents Kinjel’s present age?
किंजल की वर्तमान आयु रितु की वर्तमान आयु से 8 वर्ष कम है। अगर 3 साल पहले रितु की उम्र x थी, तो निम्नलिखित में से कौन किंजल की वर्तमान आयु का प्रतिनिधित्व करता है?
Correct
Ritu’s age 3 years ago was x,therefore present age = x + 3. Therefore the present age of Kinjel = x + 3 = 8. Present age of Kinjel = x – 5.
Incorrect
Ritu’s age 3 years ago was x,therefore present age = x + 3. Therefore the present age of Kinjel = x + 3 = 8. Present age of Kinjel = x – 5.
Question 8 of 20
8. Question
If the two digits of the age of Mr. Kumar are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Kumar is elder than his wife then find the difference between their ages?
यदि श्री कुमार की आयु के दो अंक उलट दिया जाए हैं, तो जो नया आंकड़ा प्राप्त होता है, वह उनकी पत्नी की आयु है। दोनों की आयु का योग का 1/11 दोनों की आयु के अंतर के बराबर है। अगर श्री कुमार अपनी पत्नी से बड़े हैं तो उनकी उम्र के बीच का अंतर ज्ञात करें?
Correct
Whenever,the digits are reversed in a 2 digit number the difference between the original number and the new number is 9 or a multiple of 9 i.e.18,27,36 etc. Thus only 9 years is a possible option
Incorrect
Whenever,the digits are reversed in a 2 digit number the difference between the original number and the new number is 9 or a multiple of 9 i.e.18,27,36 etc. Thus only 9 years is a possible option
Question 9 of 20
9. Question
Geeta is 4 years older than Seema. After 10 years the sum of their ages will be 48 years. Find the age of Seema.
गीता सीमा से 4 साल बड़ी है। 10 वर्षों के बाद उनकी आयु का योग 48 वर्ष होगा। सीमा की वर्तमान उम्र का क्या है।
Correct
Let the age of Geeta be x,the age of Seema will then be x – 4. After 10 years their ages will be x + 10 and x – 4 + 10 ⇒ ( x + 10) + (x – 4 + 10) = 48 (as per the question) ⇒ x + 10 + x + 6 = 48 ⇒ 2x + 16 = 48 ⇒ 2x = 32,⇒ x = 16 The age of Geeta is 16 years Therefore,the age of Seema is 16 – 4 = 12 years.
Incorrect
Let the age of Geeta be x,the age of Seema will then be x – 4. After 10 years their ages will be x + 10 and x – 4 + 10 ⇒ ( x + 10) + (x – 4 + 10) = 48 (as per the question) ⇒ x + 10 + x + 6 = 48 ⇒ 2x + 16 = 48 ⇒ 2x = 32,⇒ x = 16 The age of Geeta is 16 years Therefore,the age of Seema is 16 – 4 = 12 years.
Question 10 of 20
10. Question
The ratio between the ages of A and B is 2 : 5. After 8 years, their ages will be in the ratio 1 : 2. What is the difference between their present ages?
A और B की आयु के बीच का अनुपात 2: 5 है। 8 वर्ष के बाद, उनकी आयु के बीच का अनुपात 1: 2 होगा, तो वर्तमान समय में दोनों की आयु का अंतर क्या है?
Correct
A = 2x; B = 5x be the present ages of A and B respectively. After 8 years,their ages will be (2x + 8) years and (5x + 8) years respectively. ⇒ (2x + 8)∶ (5x + 8)∶: 1∶ 2 ∴ (5x + 8) x 1 = 2(2x + 8) ⇒ 5x – 4x = 16 – 8 ⇒ x = 8 Therefore,difference of their present ages is 5x – 2x = 3x i.e.24 years.
Incorrect
A = 2x; B = 5x be the present ages of A and B respectively. After 8 years,their ages will be (2x + 8) years and (5x + 8) years respectively. ⇒ (2x + 8)∶ (5x + 8)∶: 1∶ 2 ∴ (5x + 8) x 1 = 2(2x + 8) ⇒ 5x – 4x = 16 – 8 ⇒ x = 8 Therefore,difference of their present ages is 5x – 2x = 3x i.e.24 years.
Question 11 of 20
11. Question
The sum of the age of a father and the age of son is 75 years. If the product of their ages before 5 years was 750, then what is the present age of the father?
एक पिता की आयु और पुत्र की आयु का योग 75 वर्ष है। यदि 5 वर्ष से पहले उनकी आयु का गुणनफल 750 था, तो पिता की वर्तमान आयु क्या है?
Correct
If father’s age = x,then son’s age = 75 – x Their ages 5 years ago = x – 5 and 70 – x 5 years before,the product of their ages = 750 ∴ (x – 5)(70 – x) = 750 or x = 55.
Incorrect
If father’s age = x,then son’s age = 75 – x Their ages 5 years ago = x – 5 and 70 – x 5 years before,the product of their ages = 750 ∴ (x – 5)(70 – x) = 750 or x = 55.
Question 12 of 20
12. Question
Age of X is six times that of Y. After 4 years, X is four times elder to Y. What is the present age of Y?
X की आयु Y से छह गुना अधिक है। 4 साल के बाद, X, Y से चार गुना बड़ा होगा तो Y की वर्तमान आयु क्या है?
Correct
At present X = 6Y ….(1) After 4 years,X + 4 = 4(Y + 4) X = 4Y + 16 – 4 ⇒ X = 4Y + 12 ⇒ 6Y = 4Y + 12 (substituting from (1) above) ⇒ 2Y = 12 ⇒ Y = 6 Therefore present age of Y = 6 years
Incorrect
At present X = 6Y ….(1) After 4 years,X + 4 = 4(Y + 4) X = 4Y + 16 – 4 ⇒ X = 4Y + 12 ⇒ 6Y = 4Y + 12 (substituting from (1) above) ⇒ 2Y = 12 ⇒ Y = 6 Therefore present age of Y = 6 years
Question 13 of 20
13. Question
The age of Raju is four times the age of his son. After ten years the age of Raju will be only twice the age of his son. Find the present age of Raju’s son.
राजू की उम्र उसके बेटे की उम्र से चार गुना है। दस साल के बाद राजू की उम्र उसके बेटे की उम्र से केवल दोगुनी होगी। राजू के पुत्र की वर्तमान आयु ज्ञात कीजिए।
Correct
Let the age of the son be x years Therefore,the age of the father 4x years After 10 years,the age of the son will be x + 10 years and the age of the father will be 4x + 10 years From the question 4x + 10 = 2 (x + 10)⇒ 4x + 10 = 2x + 20 ⇒ 2x = 10 i.e.x = 5 years.
Incorrect
Let the age of the son be x years Therefore,the age of the father 4x years After 10 years,the age of the son will be x + 10 years and the age of the father will be 4x + 10 years From the question 4x + 10 = 2 (x + 10)⇒ 4x + 10 = 2x + 20 ⇒ 2x = 10 i.e.x = 5 years.
Question 14 of 20
14. Question
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
3 वर्ष के अंतराल पर पैदा होने वाले 5 बालको की उम्र का योग 50 वर्ष है तो सबसे छोटे बालक की उम्र क्या है?
Correct
Let the ages of children be x,(x + 3),(x + 6),(x + 9) and (x + 12) years. Then,x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4.
Incorrect
Let the ages of children be x,(x + 3),(x + 6),(x + 9) and (x + 12) years. Then,x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4.
Question 15 of 20
15. Question
A mother said to her daughter , “I was as old as you are at the present at the time of your birth”. If the mother’s age is 38 years now, the daughter’s age five years back was:
एक माँ ने अपनी बेटी से कहा, ” मेरी आयु तुम्हारे जन्म के समय उतनी थी जितनी तुम्हारी वर्तमान आयु है ।” यदि माता की आयु अभी 38 वर्ष है, तो पुत्री की आयु पाँच वर्ष पूर्व थी:
Correct
Explanation: Let the daughter’s present age be x years. Then, (38 – x) = x 2x = 38. x = 19. Daughter’s age 5 years back (19 – 5) = 14 years.
Incorrect
Explanation: Let the daughter’s present age be x years. Then, (38 – x) = x 2x = 38. x = 19. Daughter’s age 5 years back (19 – 5) = 14 years.
Question 16 of 20
16. Question
Amar is two years older than Ballu who is twice as old as Chintu. If the total of the ages of Amar, Ballu and Chintu be 27, the how old is Ballu?
अमर बल्लू से दो वर्ष बड़ा है जो चिंटू की आयु का दोगुना है। अगर अमर, बल्लू और चिंटू की उम्र कुल 27 हो, तो बल्लू की उम्र कितनी है?
Correct
Let Chintu’s age be x years.Then,Ballu’s age = 2x years.Amar’s age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 x = 5. Hence,Ballu’s age = 2x = 10 years.
Incorrect
Let Chintu’s age be x years.Then,Ballu’s age = 2x years.Amar’s age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 x = 5. Hence,Ballu’s age = 2x = 10 years.
Question 17 of 20
17. Question
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
एक आदमी अपने पुत्र से 24 साल बड़ा है। दो साल में उनकी आयु उनके पुत्र से दोगुनी होगी। उनके पुत्र की वर्तमान आयु है:
Correct
Let the son’s present age be x years.Then,man’s present age = (x + 24) years. (x + 24) + 2 = 2(x + 2) x + 26 = 2x + 4 x = 22.
Incorrect
Let the son’s present age be x years.Then,man’s present age = (x + 24) years. (x + 24) + 2 = 2(x + 2) x + 26 = 2x + 4 x = 22.
Question 18 of 20
18. Question
The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be: एक पिता और उसके पुत्र की वर्तमान आयु का योग 60 वर्ष है। छह साल पहले, पिता की उम्र बेटे की उम्र के पांच गुना थी। 6 साल बाद बेटे की उम्र होगी:
Correct
Let the present ages of son and father be x and (60 -x) years respectively. Then,(60 – x) – 6 = 5(x – 6) 54 – x = 5x – 30 6x = 84 x = 14. Son’s age after 6 years = (x+ 6) = 20 years.
Incorrect
Let the present ages of son and father be x and (60 -x) years respectively. Then,(60 – x) – 6 = 5(x – 6) 54 – x = 5x – 30 6x = 84 x = 14. Son’s age after 6 years = (x+ 6) = 20 years.
Question 19 of 20
19. Question
At present, the ratio between the ages of Anup and Dipesh is 4 : 3. After 6 years, Anup’s age will be 26 years. What is the age of Dipesh at present ?
वर्तमान में, अनूप और दिपेश की आयु का अनुपात 4: 3 है। 6 वर्ष के बाद, अनूप की आयु 26 वर्ष होगी। वर्तमान में दीपेश की उम्र क्या है?
Correct
Let the present ages of Anup and Dipesh be 4x years and 3x years respectively.Then, 4x + 6 = 26 4x = 20 x = 5. Dipesh’s age = 3x = 15 years.
Incorrect
Let the present ages of Anup and Dipesh be 4x years and 3x years respectively.Then, 4x + 6 = 26 4x = 20 x = 5. Dipesh’s age = 3x = 15 years.
Question 20 of 20
20. Question
Six years ago, the ratio of the ages of Kuku and Sonu was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sonu’s age at present?
छह साल पहले, कुकु और सोनू की उम्र का अनुपात 6: 5 था। चार साल के बाद उनकी उम्र का अनुपात 11: 10 होगा। वर्तमान में सोनू की उम्र क्या है?
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Problems Based on AGE Free Online Test Set-2
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Question 1 of 20
1. Question
Present ages of Shagun and Anandi are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anandi’s present age in years?
शगुन और आनंदी की वर्तमान आयु क्रमशः 5: 4 के अनुपात में है। तीन साल बाद, उनकी आयु का अनुपात क्रमशः 11: 9 हो जाएगा। वर्षों में आनंदी की वर्तमान आयु क्या है?
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Question 2 of 20
2. Question
Suraj is younger than Rohit by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Suraj? सूरज रोहित से 7 साल छोटा हैं। यदि उनकी आयु का अनुपात 7: 9 है, तो सूरज की आयु कितनी है?
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Question 3 of 20
3. Question
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years). तीन व्यक्तियों की वर्तमान आयु का अनुपात 4: 7: 9. , आठ साल पूर्व उनकी आयु का योग 56 था। उनकी वर्तमान आयु (वर्षों में) का पता लगाएं।
Correct
Explanation: Let their present ages be 4x,7x and 9x years respectively. Then,(4x – 8) + (7x – 8) + (9x – 8) = 56 20x = 80 x = 4. Their present ages are 4x = 16 years,7x = 28 years and 9x = 36 years respectively.
Incorrect
Explanation: Let their present ages be 4x,7x and 9x years respectively. Then,(4x – 8) + (7x – 8) + (9x – 8) = 56 20x = 80 x = 4. Their present ages are 4x = 16 years,7x = 28 years and 9x = 36 years respectively.
Question 4 of 20
4. Question
Aayushi’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? आयुषी जब पैदा हुई तब उसके पिता की आयु 38 साल थी और उसकी माँ की आयु 36 साल की थी अब उसका भाई उससे चार साल छोटा है तो उसके माता-पिता की आयु में क्या अंतर है?
Correct
Explanation: Mother’s age when Aayushi”s brother was born = 36 years. Father’s age when Aayushi”s brother was born = (38 + 4) years = 42 years. Required difference = (42 – 36) years = 6 years.
Incorrect
Explanation: Mother’s age when Aayushi”s brother was born = 36 years. Father’s age when Aayushi”s brother was born = (38 + 4) years = 42 years. Required difference = (42 – 36) years = 6 years.
Question 5 of 20
5. Question
A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present? एक व्यक्ति की वर्तमान आयु उसकी माँ की आयु का 2/5 भाग है। 8 साल बाद, वह अपनी मां की उम्र का आधा होगा वर्तमान में माँ की आयु कितनी है?
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Question 6 of 20
6. Question
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. The ratio of their present ages is: 10 वर्ष पहले पिता की आयु उनके पुत्र की आयु की तीन गुना थी, और 10 वर्ष के बाद पिता की आयु उसके पुत्र की आयु से दोगुनी होगी तो उनकी वर्तमान आयु का अनुपात है:
Correct
Explanation: Let the ages of father and son 10 years ago be 3x and x years respectively. Then,(3x + 10) + 10 = 2[(x + 10) + 10] 3x + 20 = 2x + 40 x = 20. Required ratio = (3x + 10)∶ (x + 10) = 70∶ 30 = 7∶ 3.
Incorrect
Explanation: Let the ages of father and son 10 years ago be 3x and x years respectively. Then,(3x + 10) + 10 = 2[(x + 10) + 10] 3x + 20 = 2x + 40 x = 20. Required ratio = (3x + 10)∶ (x + 10) = 70∶ 30 = 7∶ 3.
Question 7 of 20
7. Question
The ratio of present age of Mohan and Rakesh is 11:20 respectively. 7 years ago, Mohan was 5/11 of Rakesh in age. Find the difference between their present ages. मोहन और राकेश की वर्तमान आयु का अनुपात क्रमशः 11:20 है। 7 साल पहले, मोहन राकेश की उम्र में 5/11 था। उनके वर्तमान आयु के बीच अंतर ज्ञात करें।
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Question 8 of 20
8. Question
Anjum is 5 years elder than Babita who is now 4 times as old as Chetna. Chetna is now 7 years old. What was Anjum’s age when Chetna was born? अंजुम बबीता से 5 साल बड़ी है जो चेतना से 4 गुना बड़ी है। चेतना अभी 7 साल की है। चेतना के जन्म के समय अंजुम की उम्र क्या थी?
Correct
Solution : Let age of Anjum be x. Then,age of B = x-5 Chetna’s age = 7 Babita’s Age = 4 times as C i.e.,x – 5 = 4× 7 X = 33. Hence,Anjum’s age when Chetna was born = 33 – 7 = 26.
Incorrect
Solution : Let age of Anjum be x. Then,age of B = x-5 Chetna’s age = 7 Babita’s Age = 4 times as C i.e.,x – 5 = 4× 7 X = 33. Hence,Anjum’s age when Chetna was born = 33 – 7 = 26.
Question 9 of 20
9. Question
Five years ago viney’s age was one-third of the age of Vikas and now viney’s age is 17 years, what is the present age of Vikas? पांच साल पहले विक्की की उम्र विकास की उम्र का एक तिहाई थी और अब विक्की की उम्र 17 साल है तो बताओ विकास की वर्तमान उम्र क्या है?
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Question 10 of 20
10. Question
The age of Arvind’s father is 4 times his age if 5 years ago father’s age was 7 times of the age of his son at the time. What is Arvind’s father’s present age? अरविंद के पिता की आयु अरविंद की आयु से 4 गुना है अगर 5 साल पहले पिता की की आयु उस समय अरविंद की उम्र का 7 गुना थी। अरविंद के पिता की वर्तमान आयु क्या है?
Correct
Arvind’s age be x years Father’s age = 4x years. Therefore (4x -5) =7(x -5) or 3x = 30 ⇒ x =10 Arvind’s father’s age is 40 years
Incorrect
Arvind’s age be x years Father’s age = 4x years. Therefore (4x -5) =7(x -5) or 3x = 30 ⇒ x =10 Arvind’s father’s age is 40 years
Question 11 of 20
11. Question
Kamala got married 6 years ago, Today her age is 1 ¼ times her age at the time of marriage. Her son’s age is (1/10) times her age. Her son’s age is: कमला की शादी 6 साल पहले हुई थी, आज उसकी उम्र शादी के समय उसकी उम्र के 1 ¼ गुना है। उसके बेटे की उम्र उसकी उम्र से 1/10 है। उसके बेटे की वर्तमान उम्र क्या है:
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Question 12 of 20
12. Question
What is Raman’s present age, if after 20 years his age will be 10 times his age 10 years back? रमन की वर्तमान उम्र क्या है, अगर 20 साल बाद उसकी उम्र 10 साल पहले उसकी उम्र से 10 गुना होगी?
Correct
Let Raman’s present age be x Raman’s age before 10 years = (x – 10) Raman’s age after 20 years = (x + 20) We are given that,Raman’s age after 20 years (x + 20) is 10 times his age 10 years back (x – 10) Therefore,(x + 20) = 10 (x – 10) Solving the equation,we get x + 20 = 10x – 100 9x = 120,x = 13.3 years
Incorrect
Let Raman’s present age be x Raman’s age before 10 years = (x – 10) Raman’s age after 20 years = (x + 20) We are given that,Raman’s age after 20 years (x + 20) is 10 times his age 10 years back (x – 10) Therefore,(x + 20) = 10 (x – 10) Solving the equation,we get x + 20 = 10x – 100 9x = 120,x = 13.3 years
Question 13 of 20
13. Question
Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age. निशा रोमी से 15 साल बड़ी है। यदि 5 साल पहले, निशा रोमी से 3 गुना बड़ी थी, तो निशा की वर्तमान आयु क्या है ।
Correct
Let age of Romi be x Nisha is 15 years elder than Romi = (x + 15).So Nisha’s age 5 years ago = (x + 15 – 5). Romi’s age before 5 years = (x – 5) 5 years ago,Nisha is 3 times as old as Romi (x + 15 – 5) = 3 (x – 5) (x + 10) = (3x – 15) 2x = 25 ⇒ x = 12.5 Romi’s age = 12.5 years Nisha’s age = (x+ 15) = (12.5 + 15) = 27.5 years.
Incorrect
Let age of Romi be x Nisha is 15 years elder than Romi = (x + 15).So Nisha’s age 5 years ago = (x + 15 – 5). Romi’s age before 5 years = (x – 5) 5 years ago,Nisha is 3 times as old as Romi (x + 15 – 5) = 3 (x – 5) (x + 10) = (3x – 15) 2x = 25 ⇒ x = 12.5 Romi’s age = 12.5 years Nisha’s age = (x+ 15) = (12.5 + 15) = 27.5 years.
Question 14 of 20
14. Question
One year ago, the ratio of Honey and Piyush ages was 2: 3 respectively. After five years from now, this ratio becomes 4: 5. How old is Piyush now? एक साल पहले, हनी और पीयूष की आयु का अनुपात क्रमशः 2: 3 था। अब से पाँच साल बाद, यह अनुपात 4: 5 हो जाता है। पीयूष की वर्तमान आयु क्या है?
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Question 15 of 20
15. Question
The total age of X and Y is 15 years more than the sum of ages of Y and Z. X is how many years older than Z? X और Y की कुल आयु, Y और Z की आयु के योग से 15 वर्ष अधिक है तो X, Z से कितने वर्ष बड़ा है?
Correct
(X+Y) – (Y+Z) = 15 ⇒ X – Z = 15.X is older than Z by 15 years.
Incorrect
(X+Y) – (Y+Z) = 15 ⇒ X – Z = 15.X is older than Z by 15 years.
Question 16 of 20
16. Question
If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ? यदि अरुण की वर्तमान आयु से 6 वर्ष घटाए जाते हैं और शेष को 18 से विभाजित किया जाता है, तो उसके पोते गोकुल की वर्तमान आयु प्राप्त की जाती है। यदि गोकुल मदन से 2 वर्ष छोटा है जिसकी आयु 5 वर्ष है, तो अरुण की आयु क्या है?
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Question 17 of 20
17. Question
Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years henceforth, their age ratio is 7:6:5:8. Find Mahesh’s present age ? राजेश, सुरेश, महेश और दिनेश की आयु का योग 76 वर्ष है। 7 साल बाद, उनकी आयु का अनुपात 7: 6: 5: 8 है। महेश की वर्तमान आयु ज्ञात कीजिये?
Correct
Explanation: Given R + S + M + D = 76 ⇒ R+7∶ S+7∶ M+7∶ D+7 = 7:6:5:8 ⇒ M+7 = 5x ⇒ M = 5x-7 ⇒ R = 7x-7 ⇒ S = 6x-7 ⇒ D = 8x-7 ⇒ R + S + M + D = 76 ⇒ 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76 ⇒ 26x – 28 = 76 ⇒ 26x = 104 ⇒ x = 4 ⇒ Mahesh’s present age = 5x-7 = 20 – 7 = 13 years.
Incorrect
Explanation: Given R + S + M + D = 76 ⇒ R+7∶ S+7∶ M+7∶ D+7 = 7:6:5:8 ⇒ M+7 = 5x ⇒ M = 5x-7 ⇒ R = 7x-7 ⇒ S = 6x-7 ⇒ D = 8x-7 ⇒ R + S + M + D = 76 ⇒ 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76 ⇒ 26x – 28 = 76 ⇒ 26x = 104 ⇒ x = 4 ⇒ Mahesh’s present age = 5x-7 = 20 – 7 = 13 years.
Question 18 of 20
18. Question
The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class? एक कक्षा में 80 लड़कों की औसत आयु 15 वर्ष है। कक्षा में 15 लड़कों के समूह की औसत आयु 16 वर्ष है और कक्षा में अन्य 25 लड़कों की औसत आयु 14 वर्ष है तो कक्षा में शेष लड़कों की औसत आयु क्या है ?
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Question 19 of 20
19. Question
When Ram was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ram’s brother is 6 years older than Ram and his mother is 3 years younger than his father, how old was Ram’s sister when Ram was born ? जब राम का जन्म हुआ था, उनके पिता अपने भाई से 32 साल बड़े थे और उनकी माँ उनकी बहन से 25 साल बड़ी थीं। अगर राम का भाई राम से 6 साल बड़ा है और उसकी माँ उसके पिता से 3 साल छोटी है, तो राम की बहन की उम्र कितनी थी जब राम का जन्म हुआ था?
Correct
Explanation: Ram age when he was born = 0 years ⇒ His brother’s age = 6 year ⇒ His father’s age = brother age + 32years = 6+32 = 38 ⇒ His mother’s age = father’s age – 3 = 35 So sister’s age = 35-25 = 10years.
Incorrect
Explanation: Ram age when he was born = 0 years ⇒ His brother’s age = 6 year ⇒ His father’s age = brother age + 32years = 6+32 = 38 ⇒ His mother’s age = father’s age – 3 = 35 So sister’s age = 35-25 = 10years.
Question 20 of 20
20. Question
Payal, Pooja and Priyanka are three sister. Payal and Pooja are twins. The ratio of sum of the ages of Payal and Pooja is same as that of Priyanka alone. Three years earlier the ratio of age of Payal and Priyanka was 5 : 11. What will be the age of Priyanka 7 years hence? पायल, पूजा और प्रियंका तीन बहनें हैं। पायल और पूजा जुड़वां हैं। पायल और पूजा की आयु का अनुपात का योग प्रियंका की आयु का अनुपात है। तीन साल पहले पायल और प्रियंका की उम्र का अनुपात 5: 11 था तो बताओ प्रियंका की उम्र 7 साल के बाद क्या होगी?
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We hope you enjoyed “Problems Based on Age | Free Online Test” chapter. Keep practising to crack the exams. Best of luck for exams.
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