Quantitative aptitude has many topics and the questions in the IBPS clerk prelims mains will have the mixture of easy, moderate and difficult. Sometimes the starting questions will be difficult in the quantitative aptitude section compared to the questions at the section end. Never waste the time on the lengthy questions and never leave the easy questions. Guessing answers will not be helpful as it has negative marks for the wrong attempted questions. We are providing one set of solved quant study material on problems on ages for bank clerical exams.

**IBPS Clerk Quantitative Aptitude Study Material PDF:**

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**Question 1:**

The ratio of the present ages of a mother and daughter is 7:1 Four years ago the ratio of their ages was 19:1 what will be the motherâ€™s age four years from now ?

a) 42 years

b) 38 years

c) 46 years

d) 36 years

e)None of these

**Question 2:**

At present Kavita is twice Saritaâ€™s age Eight years hence the respective ratio between Kavitaâ€™s and Saritaâ€™s ages then will be 22:13. What is Kavitaâ€™s present age ?

a) 26 yr

b) 18 yr

c) 42 yr

d) 36 yr

e)None of these

**Question 3:**

The ages of Nishi and Vinnee are in the ratio of 6:5 After 9 years the ratio of their ages will be 9:8 What is the difference in their ages ?

a) 9 years

b) 7 years

c) 5 years

d) 3 years

e)None of these

**Question 4:**

Nikhil spent 45% of the his monthly stipend on food and transport 20% of the remaining on books and half of the remaining on other expenses. If he is left with Rs 880 now how much is his monthly stipend ?

a) Rs 6,000

b) Rs 4,500

c) Rs 3,000

d) Rs 3,600

e)None of these

**Question 5:**

The ratio between the ages of a father and his son four years ago was 19:6. If the difference between the ages of the father and son is 26 years. What will be the ratio of their present ages ?

a) 21:8

b) 23:8

c) 23:10

d) 27:14

e)None of these

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**Question 6:**

65% of a number is more than its 36% by 58. What is 23% of that number ?

a) 66

b) 69

c) 48

d) 46

e)None of these

**Question 7:**

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ?

a) 1 day

b) 3 days

c) 2 days

d) 4 days

e)None of these

**Question 8:**

A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

a) 22 hrs

b) 27 hrs

c) 35 hrs

d) cannot be determined

e)None of these

**Question 9:**

The profit earned after selling an article for Rs. 625/- is the same as loss incurred after selling the article for Rs. 435/- What is the cost price of the article ?

a) Rs. 530/-

b) Rs. 520/-

c) Rs. 540/-

d) Rs. 550/-

e)None of these

**Question 10:**

Arunika brought some articles and sold half of them at Rs. 22103 thereby making a profit of 15%/ At what price should sell the rest of them so as to earn a profit of 25% on the remaining half?

a) Rs. 25947

b) Rs. 23528

c) Rs. 27130

d) Rs. 24025

e)Rs. 26240

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**Answers and Solutions for IBPS Clerk Quantitative Aptitude Study Material:**

1) Answer (C)

Let the present ages of daughter and mother be d and m respectively.

7d = m

19(d-4) = m-4

=> 19d – 76 = 7d – 4

=> 12d = 72

=> d = 6 and m = 42

Mother’s age four years from now will be 42 + 4 = 46

2) Answer (D)

Let the Kavita’s present age be 2x.

Sarita’s present age is x.

Now, 8 years hence,

(2x + 8)/(x +8) = 22/13

26x + 104 = 22x + 176

x = 18

Hence, Kavita’s age = 18*2 = 36 years.

Option D is correct option.

3) Answer (D)

Let the agesof Nishi and Vinnee be x and y.

Now, as per given conditions,

(x/y) = (6/5) i.e 5x=6y

after 9 years,

(x+9)/(y+9) = 9/8 i.e 8x-9y=9

After solving we get x = 18 and y = 15.

Differences in the ages = 18-15=3

Hence, option D is correct.

4) Answer (E)

Let Nikhil’s monthly stipend be equal to S.

So, monthly spend on food and transport is 0.45S

Amount remaining is S-0.45S = 0.55S

Amount spent on books is 20% of 0.55S = 0.11S

Amount remaining is 0.55S – 0.11S = 0.44S

Amount spent on other expenses is 50% of 0.44S = 0.22S

So, amount remaining is 0.44S – 0.22S = 0.22S

0.22S = 880

Hence, S = 880/0.22 = 4000

As this is not given in the options, the correct answer is option (e)

5) Answer (A)

Let the ages of the father and son be F and F-26.

Their ages four years ago are F-4 and F-30.

The ratio of these ages is 19:6

Therefore, (F-4)/(F-30) = 19/6

Or, 6F – 24 = 19F – 570

So, 13F = 546

Or, F = 42 and the age of the son is 42-26 = 16

Hence, the required ratio is 42:16 = 21:8

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6) Answer (D)

Let the number be X

So, 0.65X – 0.36X = 58

Or, 0.29X = 58 and X = 200

Hence, 23% of X equals 0.23*200 = 46

7) Answer (A)

Let us first get a relation between the work done by a man, woman and a child.

1 man can do a work in 4*2 = 8 days

1 woman can do the same work in 4*4 = 16 days

1 child can do the same work in 4*5 = 20 days

=> 1 man = 2.5 child and 1.25 woman = 0.8 child

2 men + 4 women + 10 children = 5 + 5 + 10 = 20 children

1 child takes 20 days to complete a work => 20 children will take 1 day to complete the same work

8) Answer (C)

Suppose pipe A alone takes x hours to fill the tank.

Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank.

1/x+2/x+4/x=1/5â‡”7/x=1/5 â‡”x=35hrs

9) Answer (A)

Let the cost price of the article be X.

So, profit when it is sold for Rs. 625 = 625 – X

Loss made when it is sold for Rs. 435 = X – 435

As they are equal, it implies that 625 – X = X – 435

Or, 2X = 625 + 435 = 1060

Hence, X = 530

10) Answer (D)

Let the cost price be CP.

Profit = .15CP

Profit = Selling Price – CP

1.15 CP = 22,103

CP = 19,220

Now to obtain 25% profit, we have to sell them at 1.25 CP = 1.25*19220 = 24,025.

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