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Friday, 24 March 2017

SBI PO Prelims Exam 2017 - Day 13 (Problems on ages)

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Q1. If 1 is added to the age of the elder sister, then the ratio of the ages of two sisters becomes 0.5 : 1, but if 2 is subtracted from the age of the younger one, the ratio becomes 1 : 3. Find the age of the two sisters.

(a) 8 and 5 years

(b) 11 and 6 years

(d) 8 and 6 years

(e) None of these

Q2. A boy was asked of his age by his friend. The boy said, ‘The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age.’ If the friend’s age is 14, then the age of the boy is:

(a) 28 years

(b) 21 years

(d) 25 years

(e) None of these

Q3. 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 and 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?

(a) 19 years

(b) 15 years

(d) 12 years

(e) None of these

Q4. If 6 years are subtracted from the present age of Shyam 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 Shyam?

(a) 48 years

(b) 60 years

(d) 96 years

(e) None of these

Q5. There were 15 students in a class. When the ages of a teacher and a new boy are added, the average age of the class increases by 10 per cent while it remains the same when only the age of a boy is added. If the teacher’s age is eight years more than twice the age of the new boy, then find the initial average age of the class.

(a) 15.4 years

(b) 16.5 years

(d) 12.2 years

(e) 12.8 years

Q6. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same years. After another three years, one more member died, again at 60, and a child was born during the same years. The current average age of this eight-member joint family is nearest to:

(a) 21 years

(b) 25 years

(d) 23 years

(e) 22 years

Q7. Father is 5 years older than mother and mother’s age now is thrice the age of the daughter. The daughter is now 10 years old. What was father’s age when the daughter was born?

(a) 20 years

(b) 15 years

(d) 30 years

(e) None of these

Q8. The average age of the mother and her 6 children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?

(a) 42 years

(b) 40 years

(d) 50 years

(e) None of these

Q9. Three times the present age of a father is equal to eight times the present age of his son. Eight years hence the father will be twice as old as his son at that time. What are their present ages?

(a) 35, 15

(b) 32, 12

(d) 27, 8

(e) None of these

Q10. The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was:

(a) 10

(b) 11

(d) 15

(e) None of these

Q11. 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 years, then what is the total of present ages of A and B?

(a) 68 years

(b) 72 years

(d) 64 years

(e) None of these

Q12. Sneh’s age is one-sixth of her father’s age. Sneh’s father’s age will be twice of Vimal’s age after 10 years. If Vimal’s eighth birthday was celebrated 2 years before, then what is Sneh’s present age?

(a) 30 years

(b) 24 years

(d) 20 years

(e) None of these

Q13. The product of the present ages of Sarita and Gauri is 320. Eight years from now, Sarita’s age will be three times the age of Gauri. What was the age of Sarita when Gauri was born?

(a) 40 years

(b) 32 years

(d) 36 years

(e) None of these

Q14. Sonu is 4 years younger than Manu while dolly is 4 years younger than Sumit but one-fifth times as old as Sonu. If Sumit is eight years old, how many times as old is Manu as Dolly?

(a) 6

(b) 1/2

(d) 3/2

(e) None of these

Q15. Two groups of students, whose average ages are 20 years and 30 years, combine to form a third group whose average age is 23 years. What is the ratio of the number of students in the first group to that of in second group?

(a) 5 : 2

(b) 2 : 5

(d) 5 : 3

(e) None of these

Solutions

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Problems on ages Quiz For IBPS PO / SBI PO 2017

Q1. Six years ago, the respective ratio between the ages of Sia and her father that time was 1 : 7. The difference between the age of Sia’s father and Sia is 36 yr. What will be Sia’s age 5 yr from now?

(a) 13 yr

(b) 15 yr

(d) 17 yr

(e) 19 yr

Q2. The total present age of P and Q is 25 yr more than the present age of R. If at present Q is 5 yr older than R, what is P’s present age (in years)?

(a) 20

(b) Data provided are not adequate to answer the question

(d) 35

(e) 30

Q3. The respective ratio between the present ages of Parag and Sapna is 21 : 19. Six years ago, the respective ratio between their ages was 9 : 8. How old is Lina, if her present age is 12 yr less than Sapna’s present age?

(a) 38 yr

(b) 28 yr

(d) 30 yr

(e) 42 yr

Q4. The sum of the ages of 4 members of a family 5 yr ago was 94 yr. Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of the daughter and that of the daughter-in-law?

(a) 22 yr

(b) 11 yr

(d) 19 yr

(e) 15 yr

Q5. The respective ratio between the present ages of Ram and Rakesh is 6 : 11. Four years ago, the ratio of their ages was 1 : 2, respectively. What will be Rakesh’s age after five years?

(a) 45 yr

(b) 29 yr

(d) Cannot be determined

(e) None of these

Q6. Radha’s present age is three years less than twice her age 12 yr ago. Also, the respective ratio between Raj’s present age and Radha’s present age is 4 : 9. What will be Raj’s age after 5 yr?

(a) 12 yr

(b) 17 yr

(d) Cannot be determined

(e) None of these

Q7. The respective ratio of the present ages of a mother and daughter is 7 : 1. Four years ago, the respective ratio of their ages was 19 : 1. What will be the mother’s age four years from now?

(a) 42 yr

(b) 38 yr

(d) 36 yr

(e) None of these

Q8. The ratio between the ages of a father and a son at present is 5 : 2, respectively. Four years hence, the ratio between the ages of the son and his mother will be 1 : 2, respectively. what is the ratio between the present ages of the father and the mother respectively?

(a) 3 : 4

(b) 5 : 4

(d) Cannot be determined

(e) None of these

Q9. The respective ratio of the present ages of Swati and Trupti is 4 : 5. Six years hence, the respective ratio of their ages will be 6 : 7. What is the difference between their ages?

(a) 2 yr

(b) 3 yr

(d) Cannot be determined

(e) None of these

Q10. Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 yr. What is the difference between the Ram’s son’s present age and Ram’s father’s present age?

(a) 68 yr

(b) 88 yr

(d) Cannot be determined

(e) None of these

Q11. The respective ratio of the ages of Anubha and her mother is 1 : 2. After 6 yr, the ratio of their ages will be 11 : 20. 9 yr before, what was the respective ratio of their ages? (a) 3 : 5

(b) 2 : 7

(d) 2 : 5

(e) None of these

Q12. The age of Bhakti and Neil are in the ratio of 8 : 7, respectively. After 6 yr, the ratio of their ages will be 19 : 17. What is the difference in their ages?

(a) 4 yr

(b) 8 yr

(d) 12 yr

(e) None of these

Q13. The ages of Sulekha and Arunima are in the ratio of 9 : 8, respectively. After 5 yr, the ratio of their ages will be 10 : 9. What is the difference in years between their ages?

(a) 4 yr

(b) 5 yr

(d) 7 yr

(e) None of these

Q14. Present age of Jyoti is 4 times the age of Sania. After 12 yr, Jyoti will be 3 times as old as Sania. What is the present age of Sania?

(a) 28 yr

(b) 24 yr

(d) 16 yr

(e) None of these

Q15. If Ajay is as much elder than Vijay as he is younger to Kunal and sum of ages of Vijay and Kunal is 36 yr. Find the age of Ajay.

(a) 18 yr

(b) 24 yr

(d) 16 yr

(e) None of these

ANSWERS :

S1. Ans.(d)

Sol. Let age of Sia 6 yr ago = x yr

And his father’s age will be = 7x yr

Present age of Sia = x + 6 yr

Present age of Sia’s father = 7x + 6 yr

According to question,

(7x + 6) - (x + 6) = 36

7x + 6 - x - 6 = 36

6x = 36

x = 6yr

Sia’s age after 5 yr from now

= x + 6 + 5

= 6 + 6 + 5

= 17 yr

S2. Ans.(a)

Sol. Present ages of P and Q = R + 25

∴ P + Q = R + 25 …(i)

According to the question,

Q = R + 5

Putting value of Q in equation (i) we get

P + R +5 = R + 25

∴ P = 25 - 5

= 20 yr

Hence, P’s present age = 20 yr

S4. Ans.(a)

Sol. Sum of the ages of the 4 members in a family 5 yr ago was 94 yr.

Now, sum of present ages of family

Member = 94 + 5 × 4 = 114 yr

When the daughter is replaced by

Daughter in law, then the sum of family member’s ages = 92 yr

∴ Required difference in age of daughter and the daughter-in-law

= 114 - 92 = 22 yr

S8. Ans.(d)

Sol. Suppose the ages of father and son are 5x yr and 2x yr

After four years, the age of son

= (2x + 4) yr

After four years, the age of mother

= (4x + 8) yr

So, the present age of mother

= (4x + 4) yr

Ratio of the age of father and mother

= 5x : 4x + 4

Since, data is insufficient, so cannot be determined.

S13. Ans.(b)

Sol. Let the ages of Sulekha and Arunima

be 9x yr and 8x yr, respectively.

According to the question,

⇒ 81x + 45 = 80x + 50

⇒ x = 50 - 45

∴ x = 5

Required difference = 9 × 5 - 8 × 5

= 45 - 40 = 5 yr

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Problems on ages Quiz For IPPB Scale-1 Mains 2017

Q1. The ages of Shirish and Kunder are in the ratio of 5 : 6. After 8 years the ratio of their ages will be 7 : 8. What is the difference in their ages?
(a) 4 years
(b) 8 years
(c) 10 years
(d) 12 years
(e) None of these

Q2. The total of the ages of a class of 75 girls in 1050, the average age of 25 of them is 12 years and that of another 25 is 16 years. Find the average age of the remaining girls.
(a) 12 years
(b) 13 years
(c) 14 years
(d) 15 years
(e) None of these

Q3. The ratio of the ages of Anubha and her mother is 1 : 2. After 6 years the ratio of their ages will be 11 : 20. 9 years before, what was the ratio of their ages?
(a) 3 : 5
(b) 2 : 7
(c) 1 : 4
(d) 2 : 5
(e) None of these

Q4. The ratio of age of Tina and Rakesh is 9 : 10. 10 years ago the ratio of their ages was 4 : 5. What is the present age of Rakesh?
(a) 25 years
(b) 20 years
(c) 30 years
(d) 24 years
(e) None of these

Q5. In a family, mother’s age is twice that of daughter’s age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father?
(a) 62 years
(b) 60 years
(c) 58 years
(d) 55 years
(e) None of these

Q6. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife?
(a) 60 years
(b) 51 years
(c) 48 years
(d) 45 years
(e) None of these

Q7. After replacing an old member by a new member, it was found that the average age of five members of a club is same as it was 3 years ago. The difference between the ages of the replaced and the new members is:
(a) 2 years
(b) 4 years
(c) 8 years
(d) 15 years
(e) None of these

Q8. 7 years ago, the ages (in years) of A and B were in the ratio 4 : 5; and 7 years hence they will be in the ratio 5 : 6. The present age of B is:
(a) 56 years
(b) 63 years
(c) 70 years
(d) 77 years
(e) None of these

Q9. The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age in years?
(a) Eight
(b) Seven
(c) Five
(d) Cannot be determined
(e) None of these

Q10. The ratio of the present age of Manoj to that of Wasim is 3 : 11. Wasim is 12 years younger than Rehana. Rehana’s age after 7 years will be 85 years. What is the present age of Manoj’s father, who is 25 years older than Manoj?
(a) 43 years
(b) 67 years
(c) 45 years
(d) 69 years
(e) None of these

Q11. The ratio of the present ages of Ram and Rakesh 6 : 11. 4 years ago, the ratio of their ages was 1 : 2. What will be Rakesh’s age after 5 years?
(a) 45 years
(b) 29 years
(c) 49 years
(d) Cannot be determined
(e) None of these

Q12. Radha’s present age is 3 years less than twice her age 12 years ago. Also the ratio of Raj’s present age of Radha’s present age is 4 : 9. What will be Raj’s age after 5 years?
(a) 12 years
(b) 7 years
(c) 21 years
(d) Cannot be determined
(e) None of these

Q13. Ratio of the ages of Priyanka and Sanjay is 7 : 8. 7 years ago, the ratio of their ages was 6 : 7. What is the present age of Sanjay?
(a) 56 years
(b) 77 years
(c) 30 years
(d) 14 years
(e) None of these

Q14. At present, Meena is eight times her daughter’s age. 8 years from now, the ratio of the ages of Meena and her daughter will be 10 : 3. What is Meena’s present age?
(a) 32 years
(b) 40 years
(c) 36 years
(d) Cannot be determined
(e) None of these

Q15. The ages of Ritu and Karan are in the ratio of 4 : 5. After 10 years, the ratio of their ages will be 6 : 7. What is the difference in their ages?
(a) 4 years
(b) 6 years
(c) 10 years
(d) 5 years
(e) None of these

ANSWERS :