2. PROBLEMS BASED ON AGES: 2nd part

2. PROBLEMS BASED ON AGES: 2^nd part

7. (i) Ratio of Ashok’s age to Pradeep’s age is equal to 4 : 3. Ashok will be 26 years old after 6 years. How old is Pradeep now? (v'kksd vkSj iznhi dh mez dk vuqikr 4 % 3 gSA 6 lky ckn v'kksd dh mez 26 lky gks tk;sxhA iznhi dh orZeku mez D;k gS\)         

(a) 15 yrs      (b) 19.5 yrs     (c) 21 yrs     (d) 12 yrs   (e) none

(ii) Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence? (10 lky igys lfpu dh mez vt; dh nks xq.kh FkhA vt; dh oÙkZeku mez D;k gS] ;fn 10 o’kZ ckn lfpu dh mez 40 o’kZ gks tk;s\)   

(a) 20 yrs   (b) 10 yrs   (c) 30 yrs   (d) 15 yrs   (e) none of these

(iii) The ratio of Vimal  and Arun’s ages is 3 : 5 and sum of their ages is 80 years. The ratio of their ages after 10 years will be : (foey vkSj v:.k dh mez dk vuqikr 3 % 5 gS vkSj mudh mez dk ;ksxQy 80 lky gSA 10 lky ckn mudh mez dk vuqikr Kkr djsaA)        

(a) 2 : 3     (b) 1 : 2        (c) 3 : 2      (d) 3 : 5    (e) none of these

(iv) In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is (10 lky ckn A dh mez] 10 lky igys dh B dh mez dh nks xq.kh gksxhA ;fn vHkh A, B ls 9 lky cM+k gS] rks B dh oÙkZeku dk mez D;k gS\) :   

(a) 29 yrs      (b) 39 yrs   (c) 19 yrs   (d) 49   (e) none of these

(v) Jayesh is twice as old as Vijay and half as old as Suresh. If the sum of Suresh’s and Vijay’s ages is 85 years, what is Jayesh’s age in years? (t;s'k dh mez fot; dh nks xq.kh gS] tcfd lqjs'k dk vk/kh gSA ;fn lqjs'k vkSj fot; dh mez dk ;ksxQy 85 lky gks] rks t;s'k dh mez D;k gS\)  

(a) 36 yrs   (b) 34 yrs  (c) 38 yrs (d) Data inadequate  (e) none

(vi) Present age of Rahul is 8 years less than Ritu’s present age. If 3 years ago Ritu’s age was ‘x’, which of the following represents Rahul’s present age? (jkgqy dh oÙkZeku mez fjrq dh oÙkZeku mez ls 8 lky de gSA ;fn 3 lky igys fjrq dh mez X o’kZ Fkh] rks jkgqy dh orZeku mez D;k gS\)    

(a)  x+3      (b)  x-5      (c) x-3+8   (d) x+3+8   (e) none of these

(vii) If 6 years are subtracted from the present age of Randheer and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is the age of Randheer ? (;fn j.k/khj dh mez ls 6 ?kVk fn;k tk;s rFkk 'ks"k dks 18 ls Hkkx fn;k tk;s] rks mlds iksrs vuwi dh mez izkIr gksrh gSA ;fn vuwi] egs'k ls 2 lky NksVk gS] tks ¼egs'k½ 5 lky dk gS] rks j.k/khj dh mez D;k gS\)  

(a) 96 yrs  (b) 84 yrs   (c) 48 yrs (d) 60 yrs    (e) none of these

(viii) The sum of the ages of a father and son is 45 yrs. 5 yrs ago; the product of their ages was 4 times the father’s age at that time. The present age of the father is (firk vkSj iq= dh mez dk ;ksxQy 45 o"kZ gSA 5 o"kZ igys mu nksuksa dh mez dk xq.kuQy] ml le; dh mlds firk dh mez dk pkj xq.kk Fkk( rks firk dh oÙkZeku mez D;k gS\):

(a) 39 yrs (b) 36 yrs (c) 40 yrs   (d) Data inadequate   (e) none

8. (i) If the product of the present ages of a father and his son is 900 years and the ratio of their present ages is 25 : 9. Find their present ages. (firk vkSj iq= dh mez dk xq.kuQy 900 o"kZ gSA ;fn mudh mez dk vuqikr 25 % 9 gks( rks mudh oÙkZeku mez Kkr djsaA)                                              

(a) 45yrs,20yrs  (b) 42yrs, 8yrs (c) 50yrs, 18yrs (d) 41yrs, 9yrs           

(ii) If the product of the present ages of the father and his son is 3600 years and the ratio of their present ages is 16 : 9. Find the difference of their present ages. (firk vkSj iq= dh mez dk xq.kuQy 3600 o"kZ gSA ;fn mudh mez dk vuqikr 16 % 9 gks( rks nksuksa dh mez dk varj Kkr djsaA)         

(a) 40 yrs  (b) 53 yrs  (c) 45 yrs  (d) 35 yrs   (e) none of these

9. (i) A man’s age is 125% of what it was 10 years ago, but 83%  of what it will be after 10 years. What is his present age? (,d vkneh dh orZeku mez mlds 10 lky igys dh mez dk 125% gS] tcfd ;g 10 lky ckn dh mldh mez dk 83% gS( rks mldk oÙkZeku mez D;k gS\)                                                    

(a) 40 yrs  (b) 55 yrs   (c) 45 yrs     (d) 50 yrs  (e) none of these

(ii) A man’s age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is his present age? (,d vkneh dh mez mlds 10 lky igys dh mez dk  gS] tcfd ;g 10 lky ckn ds mldh mez dk  gS( rks mldh oÙkZeku mez D;k gS\)                                       

(a) 25 yrs    (b) 30 yrs    (c) 35 yrs   (d) 40 yrs   (e) none of these

(iii) A man’s age is 133 % of what it was 10 years ago, but 80% of what it will be after 10 years. What is his present age? (,d vkneh dh mez mlds 10 lky igys dh mez dk 133 % gS] tcfd ;g 10 lky ckn ds mldh mez dk %  gS( rks mldh oÙkZeku mez D;k gS\)                                        

(a) 25 yrs  (b) 45 yrs  (c) 40 yrs (d) 50 yrs     (e) none of these

(iv) 20 years ago my age was 1/3 of what it is now. What is my present’s age? (20 lky igys esjh mez] esjh orZeku mez dk   Fkh] rks esjh oÙkZeku mez D;k gS\)                                        

(a) 20 yrs  (b) 10 yrs    (c) 30 yrs   (d) 40 yrs   (e) none of these

(v) Kamla got married 6 years ago. Today her age is 1 times her age at the time of marriage. Her son’s age is  ^th of her age. What is the age of her son ? (deyk dh 'kknh 6 lky igys gqbZA vkt mldh mez] mldh 'kknh ds le; dh mez dk 1 xq.kh gSAmlds csVs dh mez] mldh orZeku mez dk  xq.kh gS] rks mlds csVs dh oÙkZeku mez D;k gS\) :   

(a) 2 yrs    (b) 4 yrs   (c) 3 yrs      (d) 5 yrs     (e) none of these

10. (i) The product of the ages of Harish and Seema is 240. If twice of the age of Seema is more than Harish’s age by 4 years, what is Seema’s age in years?  (gjh'k vkSj lhek dh mez dk xq.kuQy 240 gSA ;fn lhek dh mez dk nks xq.kk gjh'k dh mez ls 4 lky T;knk gks] rks lhek dh mez crk,WaaA)                                  

(a) 12 yrs (b) 10 yrs  (c) 20 yrs(d) 14 yrs  (e) Data inadequate

(ii) In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years age, which is 48. What is the total number of students in the school? (fdlh Ldwy esa 20% Nk= 8 lky ls de ds gSaA 8 o’kZ ls cM+h mez ds Nk=ksa dh la[;k] Bhd 8 o’kZ dh mez ds Nk=ksa dh la[;k dk  gks] tks fd 48 gS] rks Ldwy esa Nk=ksa dh dqy la[;k crk,WaA)   

(a)  72       (b) 120      (c) 80       (d) 150       (e) none of these

(iii) If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68. If the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P(Q dh mez ds nks xq.ks esa] P vkSj R dh mez dks tksM+us ij 59 feyrk gSA P dh mez ds rhu xq.ks esa] Q vkSj R dh mez dks tksM+us ij 68 feyrk gS] tcfd P dh mez dks Q ds rhu xq.ks rFkk R ds rhu xq.ks esa tksM+us ij ;g 108 gksrk gSA P dh mez D;k gS\)                                                                           

(a) 15 yrs   (b) 19 yrs   (c) 17 yrs   (d) 12 yrs  (e) none of these

11. (i) The ratio of A’s and B’s ages is 4 : 5. If the difference between the present age of B and the age of A 5 years hence is 3, then what is the total of present ages of A and B ? (A vkSj B dh mez dk vuqikr 4 % 5 gSA ;fn 5 lky ckn dh B dh mez vkSj A dh orZeku mez dk varj 3 o’kZ gks] rks A vkSj B dh mez dk dqy ;ksx Kkr djsaA)                 

(a) 27 yrs  (b) 62 yrs   (c) 72 yrs   (d) data inadequate (e) none  

(ii) The ratio of P’s and Q’s ages is 5 : 7. If the difference between the present age of Q and the age of P 6 years hence is 2, then what is the total of present ages of P and Q? (P vkSj Q dh mez dk vuqikr 5 % 7 gSA ;fn Q dh orZeku mez vkSj P dh 6 lky ckn dh mez dk varj 2 o’kZ gks] rks P vkSj Q dh mez dk dqy ;ksx Kkr djsaA)                   

(a) 48 yrs (b) 52 yrs  (c) 56 yrs (d) data inadequate   (e) none