TEST - 9
1. The ratio between the ages of Wahaj and Mobeen is 4:5 and that between Mobeen and Ali is 5:6. If sum of the ages of three be 90 years, how old is Mobeen ? (a) 24 years (b) 20 years (c) 30 years (d) 25 years Explanation: Wahaj : Mobeen = 4:5 Mobeen : Ali = 5:6 Wahaj : Mobeen : Ali= 4:5:6 Therefore, Mobeen’s age = (5/15) *90=30 years |
1. The ratio between the ages of Wahaj and Mobeen is 4:5 and that between Mobeen and Ali is 5:6. If sum of the ages of three be 90 years, how old is Mobeen ? (a) 24 years (b) 20 years (c) 30 years (d) 25 years Explanation: Wahaj : Mobeen = 4:5 Mobeen : Ali = 5:6 Wahaj : Mobeen : Ali= 4:5:6 Therefore, Mobeen’s age = (5/15) *90=30 years |
2. The average age of 30 boys in a class is 15 years. One boy aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class still remains 15 years, the age of the younger newcomer is : (a) 20 years (b) 15 years (c) 10 years (d) 8 years Explanation: Let the age of younger boy be x years. Therefore age of older boy = (x+5) years Then, total age of 30 boys = 30*15 = 450 years Total age of 31 boys after two newcomers join = 450 – 20 +x + x +5 = = 435 + 2x From the question, 435 + 2x = 31 * 15 OR, 2x = 465 – 435; OR, x = 15 years |
2. The average age of 30 boys in a class is 15 years. One boy aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class still remains 15 years, the age of the younger newcomer is : (a) 20 years (b) 15 years (c) 10 years (d) 8 years Explanation: Let the age of younger boy be x years. Therefore age of older boy = (x+5) years Then, total age of 30 boys = 30*15 = 450 years Total age of 31 boys after two newcomers join = 450 – 20 +x + x +5 = = 435 + 2x From the question, 435 + 2x = 31 * 15 OR, 2x = 465 – 435, OR , x = 15 years |
3. Six years back Momina was half of that of Rania in age. Four years hence the respective ratio of their ages would be 3:5. How old is Rania at present? (a) 32 years (b) 16 years (c) 40 years (d) none of these Explanation: Let the present ages of Momina and Rania be x years and y years respectively. According to question, (y – 6) = 2(x – 6) Or, y – 6 = 2x – 12, Or, 2x – y = 6 …(i) Similarly, (x + 4)/(y + 4) = 3/5, Or, 5x + 20 = 3y + 12, Or, 5x – 3y = – 8 … (ii) From equ (i) and equ (ii), 6x – 3y = 18 AND 5x – 3y = -8 We get, x = 26 years and y = 46 |
3. Six years back Momina was half of that of Rania in age. Four years hence the respective ratio of their ages would be 3:5. How old is Rania at present? (a) 32 years (b) 16 years (c) 40 years (d) none of these Explanation: Let the present ages of Momina and Rania be x years and y years respectively. According to question, (y – 6) = 2(x – 6), Or, y – 6 = 2x – 12, Or, 2x – y = 6 …(i) Similarly, (x + 4)/(y + 4) = 3/5 Or, 5x + 20 = 3y + 12, Or, 5x – 3y = – 8 … (ii) From equ (i) and equ (ii), 6x – 3y = 18 and 5x – 3y = -8 We get, x = 26 years and y = 46 |
4. Hadiya is 15 years older than Nida and Nida is 25 years younger than Ammara. Which of the following represents the difference between the ages of Ammara and Hadiya? (a) 40 years (b) (40 + 2N ) years (c) (40 + N ) years (d) none of these Explanation: According to question, P = N + 15 A = N + 25 A – P = (N + 25) – (N + 15) = 10 years |
4. Hadiya is 15 years older than Nida and Nida is 25 years younger than Ammara. Which of the following represents the difference between the ages of Ammara and Hadiya? (a) 40 years (b) (40 + 2N ) years (c) (40 + N ) years (d) none of these Explanation: According to question, P = N + 15 AND A = N + 25 A – P = (N + 25) – (N + 15) = 10 years |
5. What should be the present age of a man if the given condition is such as 15 year hence , a men will be 4 times as old as he was before the period of 15 year? (a) 10 years (b) 15 years (c) 20 years (d) 45 years Explanation: Let man present age be x years. His age 15 year ago = (x-15) years. His age 15year hence = (x+15) years. (x+15) = 4(x-15) ⇒ 3x= 45 ⇒ x = 45 |
5. What should be the present age of a man if the given condition is such as 15 year hence , a men will be 4 times as old as he was before the period of 15 year? (a) 10 years (b) 15 years (c) 20 years (d) 45 years Explanation: Let man present age be x years. His age 15 year ago = (x-15) years. His age 15year hence = (x+15) years. (x+15) = 4(x-15) ⇒ 3x= 45 ⇒ x = 45 |
6. What should be the present age of two person if 5:7 is the present age ratio of two person and 3:5 was the age ratio before the period of 16 year? (a) 30, 44 years (b) 35, 52 years (c) 40, 56 years (d) 45, 60 years Explanation: Explanation: the present age of two persons are 5x years and 7x years. 5x-16/ 7x-16 =3/5 ⇒ 5(5x-16) =3(7x-16) ⇒ 4x= (80-48) = 32 ⇒ x =8 Hence, their present ages are 40 years and 56 years. |
6. What should be the present age of two person if 5:7 is the present age ratio of two person and 3:5 was the age ratio before the period of 16 year? (a) 30, 44 years (b) 35, 52 years (c) 40, 56 years (d) 45, 60 years Explanation: Explanation: the present age of two persons are 5x years and 7x years. 5x-16/ 7x-16 =3/5 ⇒ 5(5x-16) =3(7x-16) ⇒ 4x= (80-48) = 32 ⇒ x =8 Hence, their present ages are 40 years and 56 years. |
7. If 4:1 is the ratio between mother and daughter and the sum of their age is 196. What should be the age ratio between mother and daughter after the period of 5 year? (a) 3 : 1 (b) 10 : 3 (c) 11 : 4 (d) 14 : 5 Explanation: Let mother age be4 x year and her daughter age is x year. 4x*x = 196 ⇒ x2 = 49 ⇒ x = 7 Present age of mother is 7*4 = 28 year and son present age = 7 years. Required ratio = (28+5) : (7+5) = 33 |
7. If 4:1 is the ratio between mother and daughter and the sum of their age is 196. What should be the age ratio between mother and daughter after the period of 5 year? (a) 3 : 1 (b) 10 : 3 (c) 11 : 4 (d) 14 : 5 Explanation: Let mother age be4 x year and her daughter age is x year. 4x*x = 196 ⇒ x2 = 49 ⇒ x = 7 Present age of mother is 7*4 = 28 year and son present age = 7 years. Required ratio = (28+5) : (7+5) = 33 |
8.Before 6 year Ayyan got married . if we compare the marriage time with the present time , present time would be 5/4 times from the marriage time. At the present time son got 1/10 times in the comparison of his mother age . find out the present time age of his mother? (a) 2 years (b) 3 years (c) 4 years (d) 5 years Explanation: Let Ayyan age 6 year ago be x year. Then, Ayyan present age = (x+6) years. ∴ x+ 6 = 5x/4 ⇒ 4(x+6) =5x = x =24 Present age of Ayyan = (24+6) = 30 years. Son ?s present age = (1/10* 30) years -= 3 years |
8.Before 6 year Ayyan got married . if we compare the marriage time with the present time , present time would be 5/4 times from the marriage time. At the present time son got 1/10 times in the comparison of his mother age . find out the present time age of his mother? (a) 2 years (b) 3 years (c) 4 years (d) 5 years Explanation: Let Ayyan age 6 year ago be x year. Then, Ayyan present age = (x+6) years. ∴ x+ 6 = 5x/4 ⇒ 4(x+6) =5x = x =24 Present age of Ayyan = (24+6) = 30 years. Son ?s present age = (1/10* 30) years -= 3 years |
9. Noman and Ali is 40 and 60 years old. Find out the time how much year ago, the ratio of their age 3:5 ? (a) 5 years (b) 10 years (c) 20 years (d) 37 years Explanation : Let the required ratio be x years ago , then 40-x/ 60-x = 3/5 ⇒ 5(40-x) = 3(60-x) =. 2x = 20 ⇒ x = 10 |
9. Noman and Ali is 40 and 60 years old. Find out the time how much year ago, the ratio of their age 3:5 ? (a) 5 years (b) 10 years (c) 20 years (d) 37 years Explanation : Let the required ratio be x years ago , then 40-x/ 60-x = 3/5 ⇒ 5(40-x) = 3(60-x) =. 2x = 20 ⇒ x = 10 |
10. Umar age after 15 years will be 5 times his age 5 years back . what is the present age of umar ? (a) 5 years (b) 10 years (c) 15 years (d) 50 years Explanation: Let the present age of ajit be x years. (x+15) = 5(x-5) ⇒ x+15 = 5x-25 ⇒ 4x= 40 =. X = 10 |
10. Umar age after 15 years will be 5 times his age 5 years back . what is the present age of umar ? (a) 5 years (b) 10 years (c) 15 years (d) 50 years Explanation: Let the present age of ajit be x years. (x+15) = 5(x-5) ⇒ x+15 = 5x-25 ⇒ 4x= 40 =. X = 10 |