PROBLEMS BASED ON AGES (आयु आधारित प्रश्न) - 1st part

1.(i) The age of the father 3 years ago was 7 times the age of his son. At present the father’s age is five times that of his son. What are the present ages of the father and the son? (3 o"kZ igys firk dh meziq= dh mez dh 7 xq.kh FkhA oÙkZeku esa firk dh mez iq= dh mez dh 5 xq.kh gS( rks oÙkZeku esa firk vkSj iq= dh mez Kkr djsa\)

(a) 45yrs, 9yrs (b) 40yrs, 9yrs (c) 42yrs, 8yrs (d) 35yrs, 9yrs  

(ii) 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 that time, what is Arvind’s father’s present age ?  (vjfoUn ds firk dh mez mldh mez dh 4 xq.kh gSA ;fn 5 lky igys mlds firk dh mez mldh mez dh 7 xq.kh Fkh( rks oÙkZeku esa mlds firk dh mez D;k gS\) 

(a) 35 yrs    (b) 40 yrs    (c) 42 yrs   (d) 30 yrs     (e) none

(iii) 6 years ago Jagunnath was twice as old as Badri. If the ratio of their present ages is 9 : 5 respectively, what is the difference between their present ages in years ? (6 lky igys txUukFk dh mez] cnjh ds mez dh nks xq.kh FkhA ;fn oÙkZeku esa mudh mez dk vuqikr 9 % 5 gks( rks oÙkZeku esa mudh mez esa D;k varj gSA)      

(a) 30 yrs  (b) 35 yrs (c)can’t be determined (d) 24 yrs                    

(iv) 10 yrs ago A was half of B in age. If the ratio of their present ages is 3:4, what will be the total of their present ages? (10 lky igys A dh mez B dh vk/kh FkhA ;fn mudh oÙkZeku mez dk vuqikr 3 % 4 gS( rks mudh oÙkZeku mez dk dqy ;ksx fdruk gS\)                                                           

(a) 35 yrs  (b) 40 yrs  (c) 42 yrs   (d) 30 yrs   (e) none of these

2.(i) At present the age of the father is five times that of the age of his son. Three years hence, the father’s age would be four times that of his son. Find the present ages of the father and the son. (oÙkZeku esa firk dh mez iq= ds mez dh 5 xq.kh gSA rhu lky ckn firk dh mez iq= ds mez dh pkj xquk gks tk;sxh( rks oÙkZeku esa nksuksa dh mez Kkr djsaA)                                             

(a) 45yrs, 9yrs  (b) 40yrs, 9yrs  (c) 42yrs, 8yrs (d) 35yrs, 9yrs           

(ii) The ratio between the present ages of P and Q is 5 : 8. After 4 years, the ratio between their ages will be 2 : 3. What is Q’s age at present? (P vkSj Q dh mez dk oÙkZeku vuqikr 5 % 8 gSA pkj lky ckn mudh mez dk vuqikr 2 % 3 gks tk,xkA oÙkZeku esa Q dh mez D;k gS\)                                              

(a) 35 yrs     (b) 32 yrs     (c) 24 yrs   (d) 30 yrs     (e) none

(iii) The age of Mr. Ramesh is four times the age of his son. After ten years the age of Mr Ramesh will be only twice the age of his son. Find the present age of Mr Ramesh’s son. (jes'k dh mez mlds iq= dh mez dh pkj xq.kh gSA 10 lky ds ckn jes'k dh mez vius iq= dh mez dh dsoy nks xq.kh gksxhA oÙkZeku esa jes'k ds iq= dh mez D;k gS\)           

(a) 10 yrs  (b) 5 yrs   (c) 11 yrs  (d) 15 yrs   (e) none of these

(iv) The ratio of present ages of P and Q is 7 : 3. After 4 years their ages will be in the ratio of 2: 1. What is the present age of P? (oÙkZeku esa P vkSj Q dh mez dk vuqikr 7 % 3 gSA 4 lky ds ckn mudh mez dk vuqikr 2 % 1 gksxkA P dh oÙkZeku mez D;k gS\)                                  

(a) 24 yrs  (b) 28 yrs   (c) 32 yrs   (d) Data inadequate (e) none

(v) The ratio of the ages of father and son at present is 6 : 1. After 5 years, the ratio will become 7 : 2. The present age of son is : (oÙkZeku esa firk vkSj iq= dh mez dk vuqikr 6 % 1 gSA 5 lky ds ckn ;g vuqikr 7 % 2 gksxk( rks oÙkZeku esa iq= dh mez D;k gSA)  

(a) 10 yrs    (b) 6 yrs      (c) 5 yrs        (d) 9 yrs     (e) none

(vi) Present ages of P and Q are in the ratio 5 : 6 respectively. Seven years hence this ratio becomes 6 : 7 respectively. What is P’s present age in years? (oÙkZeku esa P vkSj Q dh mez dk vuqikr Øe'k% 5 % 6 gS( tcfd 7 lky ckn ;g 6 % 7 gks tk,xk( rks oÙkZeku esa P dh mez D;k gSA)                                                         

(a)  35     (b) 42       (c)  49   (d)can’t be determined (e)  none   

3. (i) Three years earlier the father was 7 times as old as his son. Three years hence the father’s age would be four times that of his son. What are the present ages of the father and the son? (vkt ls rhu lky igys ,d firk dh mez iq= dh mez dh 7 xq.kh FkhA rhu lky ckn firk dk mez iq= dh pkj xq.kh gks tk;sxh( rks oÙkZeku esa nksuksa dh mez Kkr djsaA)           

(a) 45yrs, 9yrs (b) 40yrs, 9yrs (c) 42yrs, 8yrs(d) 35yrs, 9yrs            

(ii) One year ago the ratio between Samir’s and Ashok’s age was 4: 3. One year hence the ratio of their ages will be 5 : 4. What is the sum of their present ages in years? (,d lky igys lehj vkSj v'kksd ds mez dk vuqikr 4 % 3 FkkA ,d lky ckn muds mez dk vuqikr 5 % 4 gks tkrk gSA oÙkZeku esa nksuksa ds mez dk ;ksx Kkr djsaA)   

(a) 15 yrs  (b) 13 yrs  (c) 20 yrs  (d) 16 yrs   (e) none of these

(iii) 10 years ago Chandravati’s mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. What is the present age of Chandravati? (10 lky igys pUnzkorh dh ek¡ vius csVh ls pkj xq.kk cM+h FkhA 10 lky ckn ek¡ dh mez csVh ls nks xq.kh gks tk,xh( rks pUnzkorh dh oÙkZeku mez D;k gS\)                                                                                 

(a) 5 yrs   (b) 10 yrs    (c) 20 yrs  (d) 30 yr   (e) none of these

4. (i) The sum of the ages of a mother and her daughter is 50 years. Also, 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter ? (ek¡ vkSj csVh dh mez dk ;ksxQy 50 o"kZ gSA 5 lky igys ek¡ dh mez csVh dh mez dk 7 xq.kk Fkh( rks oÙkZeku esa ek¡ vkSj csVh dh mez D;k gSa\)                                      

(a) 45yrs, 5yrs   (b) 42yrs, 8yrs (c) 40yrs, 10yrs (d) 41yrs, 9yrs           

(ii) The sum of the ages of Sweta and her mother is 63 years. Also, 4 years ago, the mother’s age was 4 times of Sweta’s age at that time. What is the present age of Sweta’s mother? ('osrk vkSj mldh ek¡ dh mez dk ;ksxQy 63 lky gSA 4 lky igys ek¡ dh mez 'osrk dh mez dh 4 xq.kk FkhA oÙkZeku esa 'osrk dh ek¡ dh mez D;k gS\)                               

(a) 40 yrs   (b) 53 yrs  (c) 45 yrs  (d) 48 yrs   (e) none of these

5.(i) The sum of the ages of a son and father is 56 years. After 4 years, the age of the father will be three times that of the son. What is the age of the son? (firk vkSj iq= dh mez dk ;ksxQy 56 lky gSA 4 lky ckn firk dh mez iq= dh mez dh rhu xq.kh gks tk;sxh( rks iq= dh mez D;k gS\)                                                 

(a) 8 yrs    (b) 10 yrs   (c) 12 yrs   (d) 15 yrs  (e) none of these

(ii) The sum of the ages of the father and his daughter is 66 years. After 3 years, the age of the father will be three times that of his daughter. What is the ratio of the present ages of the father and his son? (firk vkSj iq=h dh mez dk ;ksxQy 66 lky gSA rhu lky ckn firk dh mez iq=h dh mez dh rhu xq.kh gks tk,xhA oÙkZeku esa firk vkSj iq=h dh mez dk vuqikr Kkr djsaA)                                         

(a) 17 : 5    (b) 25 : 17  (c) 17 : 6   (d) 17 : 3   (e) none of these

6. (i) The difference of present ages of A and B is 12 years. If 6 years back their ages were in the ratio 3 : 2, how old is A? (A vkSj B ds oÙkZeku mez dk varj 12 lky gSA ;fn 6 lky igys budh mez dk vuqikr 3 % 2 jgk gks( rks A dh orZeku mez D;k gS\)                                                                                                                       

(a) 24 yrs  (b) 42 yrs  (c) 32 yrs (d) Data inadequate  (e)none

(ii) Rahul is younger than Radha by 10 years. If 5 years back their ages were in the ratio 1:2, how old is Radha? (jkgqy jk/kk ls 10 lky NksVk gSA ;fn 5 lky igys budh mez vuqikr 1 % 2 Fkk( rks jk/kk dh mez Kkr djsaA)

a) 24 yrs    (b) 25 yrs   (c) 20 yr (d) Data inadequate   (e)none

(iii) The difference of present ages of A and B is 10 years. If 4 years back their ages were in the ratio 3 : 5, Find the sum of their present ages ? (A vkSj B dh mez dk varj 10 lky gSA ;fn 4 lky igys nksuksa dh mez dk vuqikr 3 % Fkk( rks oÙkZeku esa nksuksa dh mez dk ;ksxQy Kkr djsaA)             

(a) 24 yrs (b) 48 yrs  (c) 32 yrs  (d) Data inadequate     (e)none