TEST - 3
1. Ahmed age after 15 years will be 5 times his age 5 years back, What is the present age of Ahmed? (a) 15 (b) 14 (c) 10 (d) 8 REASON: Clearly, x+15 = 5(x-5) <=> 4x = 40 => x = 10 |
1. Ahmed age after 15 years will be 5 times his age 5 years back, What is the present age of Ahmed? (a) 15 (b) 14 (c) 10 (d) 8 REASON: Clearly, x+15 = 5(x-5) <=> 4x = 40 => x = 10 |
2. EHSAN is younger than ALI by 7 years. If the ratio of their ages is 7:9, find the age of EHSAN? (a) 23.5 (b) 24.5 (c) 12.5 (d) 14.5 REASON: If ALI age is x, then EHSAN age is x-7,
So EHSAN is 31.5 – 7 = 24.5 |
2. EHSAN is younger than ALI by 7 years. If the ratio of their ages is 7:9, find the age of EHSAN? (a) 23.5 (b) 24.5 (c) 12.5 (d) 14.5 REASON: If ALI age is x, then EHSAN age is x-7,
So EHSAN is 31.5 – 7 = 24.5 |
3. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years? (a) 7:8 (b) 7:9 (c) 3:8 (d) 5:8 REASON: Let P=6 Q=7 years. Then 7x – 6x = 4 <=> x = 4 So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8 |
3. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years? (a) 7:8 (b) 7:9 (c) 3:8 (d) 5:8 REASON: Let P=6 Q=7 years. Then 7x – 6x = 4 <=> x = 4 So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8 |
4. Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age? (a) 12, 28 (b) 14, 30 (c) 16, 32 (d) 18, 34 REASON : Let the age of younger person is x, Then elder person age is (x+16) => 3(x-6) = (x+16-6) [6 years before] => 3x-18 = x+10 => x = 14; So other person age is x + 16 = 14 + 16 = 30. |
4. Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age? (a) 12, 28 (b) 14, 30 (c) 16, 32 (d) 18, 34 REASON : Let the age of younger person is x, Then elder person age is (x+16) => 3(x-6) = (x+16-6) [6 years before] => 3x-18 = x+10 => x = 14; So other person age is x + 16 = 14 + 16 = 30. |
5. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father’s age at that time. The present age of father and son? (a) 34, 11 (b) 35, 10 (c) 36, 9 (d) 40, 5 REASON: Let sons age = x years. Then fathers age = (45 – x) years.(x—5)(45—x—5) = 4(45- x – 5) hence (x—5) = 4 so x = 9 Their ages are 36 years and 9 years. |
5. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father’s age at that time. The present age of father and son? (a) 34, 11 (b) 35, 10 (c) 36, 9 (d) 40, 5 REASON: Let sons age = x years. Then fathers age = (45 – x) years.(x—5)(45—x—5) = 4(45- x – 5) hence (x—5) = 4 so x = 9 Their ages are 36 years and 9 years. |
6. Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages? (a) 35 (b) 34 (c) 45 (d) 25 REASON: Let the present age of P and Q be 3x and 4x respectively. Ten years ago, P was half of Q in age => 2(3x – 10) = (4x – 10) => 6x – 20 = 4x – 10 => 2x = 10 => x = 5 |
6. Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages? (a) 35 (b) 34 (c) 45 (d) 25 REASON: Let the present age of P and Q be 3x and 4x respectively. Ten years ago, P was half of Q in age => 2(3x – 10) = (4x – 10) => 6x – 20 = 4x – 10 => 2x = 10 => x = 5 |
7. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A? (a) 11 (b) 12 (c) 13 (d) 14 REASON: Given that A+B = 12 + B + C => A – C = 12 + B – B = 12 => C is younger than A by 12 years |
7. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A? (a) 11 (b) 12 (c) 13 (d) 14 REASON: Given that A+B = 12 + B + C => A – C = 12 + B – B = 12 => C is younger than A by 12 years |
8. The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person? (a) 15 (b) 20 (c) 25 (d) 30 REASON: Let’s take the present age of the elder person = x and the present age of the younger person = x – 16 (x – 6) = 3 (x-16-6) => x – 6 = 3x – 66 => 2x = 60 => x = 60/2 = 30 |
8. The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person? (a) 15 (b) 20 (c) 25 (d) 30 REASON: Let’s take the present age of the elder person = x and the present age of the younger person = x – 16 (x – 6) = 3 (x-16-6) => x – 6 = 3x – 66 => 2x = 60 => x = 60/2 = 30 |
9. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively? (a) 20, 20 (b) 20, 10 (c) 25, 15 (d) 30,10 REASON: Let their ages be x and (x + 20) years. 5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10. Their present ages are 30 years and 10 years. |
9. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively? (a) 20, 20 (b) 20, 10 (c) 25, 15 (d) 30,10 REASON: Let their ages be x and (x + 20) years. 5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10. Their present ages are 30 years and 10 years. |
10. Ratio between SAIF and KHADIJA is 4:3, After 6 Years SAIF age will be 26 years. What is KHADIJA present age? (a) 14 (b) 15 (c) 20 (d) 22 REASON: Present age is 4x and 3x, => 4x + 6 = 26 => x = 5 So Khadija’s age is = 3(5) = 15. |
10. Ratio between SAIF and KHADIJA is 4:3, After 6 Years SAIF age will be 26 years. What is KHADIJA present age? (a) 14 (b) 15 (c) 20 (d) 22 REASON: Present age is 4x and 3x, => 4x + 6 = 26 => x = 5 So Khadija’s age is = 3(5) = 15. |