TEST - 10
1. Six years ago, the ratio of the ages of Shumaila and Bisma was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Bisma age at Present ? (a) 10 years (b) 14 years (c) 16 years (d) 12 years Explanation : Let six years ago the age of Shumaila and Bisma are 6x and 5x resp. then, =>(6x+6)+4(5x+6)+4=1110 <=>10(6x+10)=11(5x+10) <=>5x=10=>x=2 So Bipul age is (5x+6) = 16 |
1. Six years ago, the ratio of the ages of Shumaila and Bisma was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Bisma age at Present ? (a) 10 years (b) 14 years (c) 16 years (d) 12 years Explanation : Let six years ago the age of Shumaila and Bisma are 6x and 5x resp. Then, =>(6x+6)+4(5x+6)+4=1110 <=>10(6x+10)=11(5x+10) <=>5x=10=>x=2 So Bipul age is (5x+6) = 16 |
2. The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the fathers current age? ( 0.5 Decades = 5 Years ) (a) 35 years (b) 47 years (c) 40 years (d) 45 years Explanation : Let, Total of current ages of the 2 daughters is A years. Then, fathers current age = 3A years. (3A + 5) = 2 (A +10) 3A + 5 = 2A + 20 A = 15 Therefore, fathers current age = 45 years |
2. The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the fathers current age? ( 0.5 Decades = 5 Years ) (a) 35 years (b) 47 years (c) 40 years (d) 45 years Explanation : Let, Total of current ages of the 2 daughters is A years. Then, fathers current age = 3A years. (3A + 5) = 2 (A +10) 3A + 5 = 2A + 20 A = 15 Therefore, fathers current age = 45 years |
3. Proportion of Orhan age to Daniyal age is 4:3. Yumna willl be 26 years old after 6 years. What is the age of daniyal now ? (a) 15 years (b) 12 years (c) 19 years (d) 17 years Explanation : Current ages of Orhan = 4A and Daniyal = 3A So that 4A + 6 = 26 A = 5 Current age of Daniyal= 3A => 3 x 5 = 15 years |
3. Proportion of Orhan age to Daniyal age is 4:3. Yumna willl be 26 years old after 6 years. What is the age of daniyal now ? (a) 15 years (b) 12 years (c) 19 years (d) 17 years Explanation : Current ages of Orhan = 4A and Daniyal = 3A So that 4A + 6 = 26 A = 5 Current age of Daniyal= 3A => 3 x 5 = 15 years |
4. 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 (a) 22 years (b) 20 years (c) 21 years (d) 24 years Explanation : 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 So, x = 22 |
4. 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 (a) 22 years (b) 20 years (c) 21 years (d) 24 years Explanation : 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 So, x = 22 |
5. The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ? (a) 12 years (b) 13 years (c) 14 years (d) 15 years Explanation : (A+B) – (B-C) = 12 <=> A – C = 12. |
5. The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ? (a) 12 years (b) 13 years (c) 14 years (d) 15 years Explanation : (A+B) – (B-C) = 12 <=> A – C = 12. |
6. Saba’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Saba and her grandfather 8 years ago. (a) 11 : 54 (b) 11 : 51 (c) 11 : 50 (d) 11 : 53 Explanation : Let, Saba age 16 years ago = x, Grandfather’s age 16 years ago = 8x. 8 years from now, 3(x+16+8) = (8x+16+8) => x = 48/5 8 years ago ratio was: =>x+88x+8=485+88×485+8 =>88424=1153 |
6. Saba’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Saba and her grandfather 8 years ago. (a) 11 : 54 (b) 11 : 51 (c) 11 : 50 (d) 11 : 53 Explanation : Let, Saba age 16 years ago = x, Grandfather’s age 16 years ago = 8x. 8 years from now, 3(x+16+8) = (8x+16+8) => x = 48/5 8 years ago ratio was: =>x+88x+8=485+88×485+8 =>88424=1153 |
7. The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be (a) 8 : 7 (b) 6 : 3 (c) 3 : 6 (d) 9 : 5 Explanation : Let current ages of X and Y correspondingly, is 6A & 5A Given: 6A + 5A = 44 => A = 4 Proportion of ages after 0.8 decades will be 6A + 8 : 5A + 8 32:28 (or) 8:7 |
7. The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be (a) 8 : 7 (b) 6 : 3 (c) 3 : 6 (d) 9 : 5 Explanation : Let current ages of X and Y correspondingly, is 6A & 5A Given: 6A + 5A = 44 => A = 4 Proportion of ages after 0.8 decades will be 6A + 8 : 5A + 8 32:28 (or) 8:7 |
8. Ten years 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 (a) 40 years (b) 35 years (c) 25 years (d) 30 years Explanation : Let A’s age 10 years ago = x years. Then, B’s age 10 years ago = 2x years. (x + 10) / (2x+ l0) = 3/4 => x = 5. So, the total of their present ages =(x + 10 + 2x + 10) = (3x + 20) = 35 years. |
8. Ten years 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 (a) 40 years (b) 35 years (c) 25 years (d) 30 years Explanation : Let A’s age 10 years ago = x years. Then, B’s age 10 years ago = 2x years. (x + 10) / (2x+ l0) = 3/4 => x = 5. So, the total of their present ages =(x + 10 + 2x + 10) = (3x + 20) = 35 years. |
9. 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 (a) 45 years (b) 42 years (c) 40 years (d) 44 years Explanation : Let the mother’s present age be x years. Then, the person’s present age = (2/5 x) years. => (2/5 x + 8/2) = 1 (x + 8) => 2(2x + 40) = 5(x + 8) => x = 40 |
9. 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 (a) 45 years (b) 42 years (c) 40 years (d) 44 years Explanation : Let the mother’s present age be x years. Then, the person’s present age = (2/5 x) years. => (2/5 x + 8/2) = 1 (x + 8) => 2(2x + 40) = 5(x + 8) => x = 40 |
10. In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is (a) 39 years (b) 37 years (c) 41 years (d) 35 years Explanation : Let B’s age = x years. Then, As age = (x+ 9) years. (x+9+10)=2(x10) hence x=39. Present age of B = 39 years |
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10. In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is (a) 39 years (b) 37 years (c) 41 years (d) 35 years Explanation : Let B’s age = x years. Then, As age = (x+ 9) years. (x+9+10)=2(x10) hence x=39. Present age of B = 39 years |