Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz on Age based problems with Shortcut Solutions for Prelims exam of SBI Clerk 2018.
1. The age of a man is 5 times that of his son. 4 yrs ago the man was nine times as old as his son at that time. What is the present age of the man?
1) 30
2)32
3) 40
4) 45
5) None of these
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Option: 3
Explanation: son= x man= 5x
5x – 4 = 9 * ( x -4) 5x – 4 = 9x – 36 4x = 32 ; x = 8
Present age of man= 5 * 8= 40
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2. 10 yrs ago Sunita’s mother was 4 times older than her daughter. After 10 yrs the mother will be 2 times older than Sunita. What is the present age of Sunita?
1) 10
2) 15
3) 20
4) 30
5) 40
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Sunita= x Mother= 4x
4x + 20 = 2 * ( x+ 20) 4x + 20 = 2x + 40 2x = 20 ; x= 10
Sunita’s age 10 yrs ago = 10
Present age= 10 + 10= 20
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3. Ten yrs ago, Shalu was half of Nalu in age. If the ratio of their present age is 3: 4, what will be the total age at present?
1) 35
2) 10
3) 25
4) 40
5) None of these
Soln:
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Nalu= 2x Shalu =x
X + 10 / 2x + 10 = 3 / 4
By solving the equation, x = 5
Nalu’s age 10yrs ago= 2* 5= 10 Shalu’s age 10yrs ago= 5
Total age at present= 10+10+50+10= 35
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4. The sum of the age of mother and her daughter is 50yrs. Also 5 yrs ago, the mother’s age was 7 times the age of the daughter. What is the present age of mother?
1) 30
2) 40
3) 35
4) 25
5) 50
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: 5 yrs ago daughter= x mother= 7x
At present, x+ 5 + 7x + 5 = 50 8x = 40 x=5
5 yrs ago mother’s age was 7 + 5= 35
Present age of mother= 35 +5 = 40 yrs
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5. The ratio of the age of father and son at present is 3 : 1. 4 yrs earlier the ratio was 4 : 1. What are the present age of son?
1) 10
2) 15
3) 12
4) 20
5) 25
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Option: 3
Explanation: 3x – 4/ x- 4 = 4 / 1 x= 12
Present age of son= 12 yrs
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6. The ratio of the mother’s age to the son’s age is 4: 1. The product of their ages is 196. What will be the ratio of their ages after 5 yrs?
1) 11: 4
2) 11: 2
3) 22:4
4) 22: 2
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 4x * x = 196 x= 7
At present, Mother= 4 * 7= 28 Son= 7
After 5 yrs the ratio will be (28 + 5): (7+ 5) = 33 : 12 = 11: 4
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7. The ratio of Dristi’s age to the age of her father is 3: 11. The difference of their ages is 24 yrs. What will be the ratio of the age of Dristi and her father after 5 yrs respectively?
1) 19: 7
2) 7: 19
3) 29: 7
4) 7: 29
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: Dristi= 3x Father= 11x
11x – 3x= 24 8x = 24 x= 3
Dristi at present= 9 Father at present= 33
After 5 yrs the ratio will be = (9 + 5): (33 +5) = 14: 38 = 7: 19
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8. The ratio of the ages of the father and daughter at present is 6: 1. After 5 yrs, the ratio will become 7: 2. What is the age of father before 5 yrs?
1) 25
2) 20
3) 35
4) 40
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Father’s age = 6x Daughter’s age= x
6x + 5/ x + 5 = 7 / 2 x= 5
Father’s age at present= 6*5 = 30
Father’s age 5 yrs ago= 30 -5 = 25 yrs
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9. The ratio of the ages of Rohini and Sohini is 3: 4. 4 yrs earlier the ratio was 5: 7. What will be the difference of their ages after 5 yrs?
1) 6
2) 10
3) 8
4) 9
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Rohini = 3x Sohini= 4x
3x – 4 / 4x – 4= 5/7
X= 8
Rohini’s age after 5 yrs= 24 + 5 = 29
Sohini’s age after 5 yrs= 32 +5 = 37
Difference= 37 – 29 = 8 yrs
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10. The ratio of the ages of Savita and her mother- in – law is 1: 5. After7 yrs, the ratio becomes 3: 8. What is the present age of Savita’s mother in law?
1) 35
2) 45
3) 25
4) 55
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Savita= x Savita’s mother in law= 5x
X+7 / 5x +7 = 3 /8 x= 5
Savita’s mother in law= 25
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Regards
Team Exampundit
1. The age of a man is 5 times that of his son. 4 yrs ago the man was nine times as old as his son at that time. What is the present age of the man?
1) 30
2)32
3) 40
4) 45
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: son= x man= 5x
5x – 4 = 9 * ( x -4) 5x – 4 = 9x – 36 4x = 32 ; x = 8
Present age of man= 5 * 8= 40
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2. 10 yrs ago Sunita’s mother was 4 times older than her daughter. After 10 yrs the mother will be 2 times older than Sunita. What is the present age of Sunita?
1) 10
2) 15
3) 20
4) 30
5) 40
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Sunita= x Mother= 4x
4x + 20 = 2 * ( x+ 20) 4x + 20 = 2x + 40 2x = 20 ; x= 10
Sunita’s age 10 yrs ago = 10
Present age= 10 + 10= 20
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3. Ten yrs ago, Shalu was half of Nalu in age. If the ratio of their present age is 3: 4, what will be the total age at present?
1) 35
2) 10
3) 25
4) 40
5) None of these
Soln:
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Nalu= 2x Shalu =x
X + 10 / 2x + 10 = 3 / 4
By solving the equation, x = 5
Nalu’s age 10yrs ago= 2* 5= 10 Shalu’s age 10yrs ago= 5
Total age at present= 10+10+50+10= 35
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4. The sum of the age of mother and her daughter is 50yrs. Also 5 yrs ago, the mother’s age was 7 times the age of the daughter. What is the present age of mother?
1) 30
2) 40
3) 35
4) 25
5) 50
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: 5 yrs ago daughter= x mother= 7x
At present, x+ 5 + 7x + 5 = 50 8x = 40 x=5
5 yrs ago mother’s age was 7 + 5= 35
Present age of mother= 35 +5 = 40 yrs
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5. The ratio of the age of father and son at present is 3 : 1. 4 yrs earlier the ratio was 4 : 1. What are the present age of son?
1) 10
2) 15
3) 12
4) 20
5) 25
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: 3x – 4/ x- 4 = 4 / 1 x= 12
Present age of son= 12 yrs
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6. The ratio of the mother’s age to the son’s age is 4: 1. The product of their ages is 196. What will be the ratio of their ages after 5 yrs?
1) 11: 4
2) 11: 2
3) 22:4
4) 22: 2
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 4x * x = 196 x= 7
At present, Mother= 4 * 7= 28 Son= 7
After 5 yrs the ratio will be (28 + 5): (7+ 5) = 33 : 12 = 11: 4
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7. The ratio of Dristi’s age to the age of her father is 3: 11. The difference of their ages is 24 yrs. What will be the ratio of the age of Dristi and her father after 5 yrs respectively?
1) 19: 7
2) 7: 19
3) 29: 7
4) 7: 29
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: Dristi= 3x Father= 11x
11x – 3x= 24 8x = 24 x= 3
Dristi at present= 9 Father at present= 33
After 5 yrs the ratio will be = (9 + 5): (33 +5) = 14: 38 = 7: 19
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8. The ratio of the ages of the father and daughter at present is 6: 1. After 5 yrs, the ratio will become 7: 2. What is the age of father before 5 yrs?
1) 25
2) 20
3) 35
4) 40
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Father’s age = 6x Daughter’s age= x
6x + 5/ x + 5 = 7 / 2 x= 5
Father’s age at present= 6*5 = 30
Father’s age 5 yrs ago= 30 -5 = 25 yrs
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9. The ratio of the ages of Rohini and Sohini is 3: 4. 4 yrs earlier the ratio was 5: 7. What will be the difference of their ages after 5 yrs?
1) 6
2) 10
3) 8
4) 9
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Rohini = 3x Sohini= 4x
3x – 4 / 4x – 4= 5/7
X= 8
Rohini’s age after 5 yrs= 24 + 5 = 29
Sohini’s age after 5 yrs= 32 +5 = 37
Difference= 37 – 29 = 8 yrs
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10. The ratio of the ages of Savita and her mother- in – law is 1: 5. After7 yrs, the ratio becomes 3: 8. What is the present age of Savita’s mother in law?
1) 35
2) 45
3) 25
4) 55
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 3
Explanation: Savita= x Savita’s mother in law= 5x
X+7 / 5x +7 = 3 /8 x= 5
Savita’s mother in law= 25
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Regards
Team Exampundit