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You need to login to ask any Questions from chapter Time-and-Work of Arithmetic-Aptitude

Chapter:

Time-and-Work

1. The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is age of youngest child?

4 years 8 years 10 years None of these

4 years

Let ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of youngest child = x = 4 years.

Hint Answer

2. The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, sum of ir ages was 56. Find ir present ages (in years).

8, 20, 28 16, 28, 36 20, 35, 45 None of these

16, 28, 36

Let ir present ages be 4x, 7x and 9x years respectively.

Then, (4x - 8) + (7x - 8) + (9x - 8) = 56

20x = 80

x = 4.

Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.

Hint Answer

3. At present, ratio between ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is age of Deepak at present ?

12 years 15 years 19 and half 21 years

15 years

Let present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26 4x = 20

x = 5.

Deepak's age = 3x = 15 years.

Hint Answer

4. A is two years older than B who is twice as old as C. If total of ages of A, B and C be 27, n how old is B?

7 8 9 10

10

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

Hint Answer

5. Six years ago, ratio of ages of Kunal and Sagar was 6 : 5. Four years hence, ratio of ir ages will be 11 : 10. What is Sagar's age at present?

16 years 18 years 20 years Cannot be determined

16 years

Let ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then,

`((6x+6)+4)/((5x+6)+4)=11/10`

10(6x + 10) = 11(5x + 10)

5x = 10

x = 2.

Sagar's present age = (5x + 6) = 16 years.

Hint Answer

6. Q is as much younger than R as he is older than T. If sum of ages of R and T is 50 years, what is definitely difference between R and Q's age?

1 year 2 years 25 years Data inadequate

Data inadequate

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and refore Q = 25.

Question is (R - Q) = ?

Here we know value(age) of Q (25), but we don't know age of R.

Therefore, (R-Q) cannot be determined.

Hint Answer

7. Far is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After furr 8 years, how many times would he be of Ronit's age?

2 times `5/2` times `11/4` times 3 times

2 times

Let Ronit's present age be x years. Then, far's present age =(x + 3x) years = 4x years.

`(4x+8)=5/2 (x+8)`

8x + 16 = 5x + 40

3x = 24

x = 8.

Hence, required ratio

is, `=(4x+16)/(x+16)=2`

Hint Answer

8. Present ages of Sameer and Anand are in ratio of 5 : 4 respectively. Three years hence, ratio of ir ages will become 11 : 9 respectively. What is Anand's present age in years?

24 27 40 Cannot be determined

24

Let present ages of Sameer and Anand be 5x years and 4x years respectively.

Then,

`(5x+3)/(4x+3)=11/9`

9(5x + 3) = 11(4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Anand's present age = 4x = 24 years.

Hint Answer

9. The age of far 10 years ago was thrice age of his son. Ten years hence, far's age will be twice that of his son. The ratio of ir present ages is:

5 : 2 7 : 3 9 : 2 13 : 4

7 : 3

Let ages of far and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Hint Answer

10. The sum of present ages of a far and his son is 60 years. Six years ago, far's age was five times age of son. After 6 years, son's age will be:

12 years 14 years 18 years 20 years

20 years

Let present ages of son and far be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

Hint Answer

Nexttt

All Chapters

View all Chapter and number of question available From each chapter from Arithmetic-Aptitude

Problems on Ages

Problems on Ages

Remix

Averages Aptitude Questions

Average shortcuts for various Loksewa Exams like bank exam , Kharidaar, Section officer, nasu, math and other competitive exams

Interest aptitude questions

Simple Interest and compound interest questions, formulas, solved examples, tricks, problems on simple-interest, quantitative aptitude problems-questions, quiz and various questions for various competitive exams like nasu, kharidaar, section officer, cmat

Number System Aptitude questions

Practice the Multiple choice questions from Number System for various competitive loksewa exams like nasu, kharidaar, civil engineering loksewa, cmat etc

Percentage

Progressions

Progressions mcqs

Ratio mcqs

Profit and Loss

Profit and Loss

Speed Time and Distance

Speed Time and Distance

Time and Work

Permutation and Combination

Permutation and Combination

Alligations

Partnership

Train Problems

Probability

Topics

This Chapter Time-and-Work consists of the following topics

Problems on Ages

The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is age of youngest child?

The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, sum of ir ages was 56. Find ir present ages (in years).

At present, ratio between ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is age of Deepak at present ?

A is two years older than B who is twice as old as C. If total of ages of A, B and C be 27, n how old is B?

Six years ago, ratio of ages of Kunal and Sagar was 6 : 5. Four years hence, ratio of ir ages will be 11 : 10. What is Sagar's age at present?

Q is as much younger than R as he is older than T. If sum of ages of R and T is 50 years, what is definitely difference between R and Q's age?

Far is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After furr 8 years, how many times would he be of Ronit's age?

Present ages of Sameer and Anand are in ratio of 5 : 4 respectively. Three years hence, ratio of ir ages will become 11 : 9 respectively. What is Anand's present age in years?

The age of far 10 years ago was thrice age of his son. Ten years hence, far's age will be twice that of his son. The ratio of ir present ages is:

The sum of present ages of a far and his son is 60 years. Six years ago, far's age was five times age of son. After 6 years, son's age will be:

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