**Hello Aspirants,**

Welcome to Online Quant Section in AffairsCloud.com. We are starting **IBPS Clerk course 2015 **and we are creating sample questions in **Quantitative Aptitude** section, type of which will be asked in IBPS Clerk Main Exam.

**Stratus – IBPS Clerk Course 2015 **

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**A and B can alone do a work in 20 days and 12 days respectively. After working for 4 days, A was joined by B and then both did work till the completion. In how many days the work got completed?**

A) 12 days

B) 15 days

C) 25 days

D) 10 days

E) None of these

**D) 10 days**

Explanation:

Let the work be completed in x days, so A worked for all x days, and B for (x-4) days

1/20 * x + 1/12 (x – 4) = 1

**Rs 1600 is deposited in a bank on each of dates January 1 and July 1 of a year. The rate of interest offered is 5% p.a. on compound interest on half-yearly basis. What is the amount of interest received at the end of year?**

A) Rs 244

B) Rs 120

C) Rs 121

D) Rs 81

E) Rs 175

**C) Rs 121**

Explanation:

CI on 30 June = 1600 [ (1 + 5/2*100) – 1] = 40

Now total amount = 1640 and 1600 more deposited, so

CI on 31 Dec = 3240 [ (1 + 5/2*100) – 1] = 81

Total = 81+40**Speed of boat in still water is 15 km/hr. It goes 30 km downstream and come back in a total of 9 hours. What is the speed of stream in km/hr?**

A) 22

B) 15

C) 8

D) 5√5

E) 18

**D) 5√5**

Explanation:

Use

Distance = time * [B^2 – R^2] / 2*B

30 = 9 * [15^2 – R^2] / 2*15

**Two pipes A and B can fill a tank in 10 hrs and 15 hrs respectively. Along with two pipes, a third pipe C is also opened and they all fill the tank in 12 hrs. What is the work done alone by pipe C?**

A) empty in 12 hrs

B) fill in 12 hrs

C) empty in 8 hrs

D) fill in 15 hrs

E) empty in 10 hrs

**A) empty in 12 hrs**

Explanation:

Let C alone fills or empties in x hrs, then

(1/10 + 1/15 + 1/x) = 1/12

1/x = -1/12

So C empties in 12 hrs

**A bag contains 3 red, 5 yellow and 4 green balls. Find the probability of drawing 3 balls in which there are exactly 2 green balls.**

A) 12/67

B) 13/55

C) 11/48

D) 12/55

E) None of these

**D) 12/55**

Explanation:

2 green out of 4 green

Prob =^{4}C_{2}×^{8}C_{1}/^{12}C_{3}

**What profit does B get at the end of a year in a partnership with A and C?**

I. The ratio in which A and B invests is 4 : 5.

II. After a year, A gets Rs 40,000 as his share from total profit.

A) Only I is sufficient

B) Only II is sufficient

C) Both I and II are required

D) Either I or II is sufficient

E) Neither I nor II is sufficient

**C) Both I and II are required**

Explanation:

A : B = 4 : 5

So 4x = 40000, x = 10,000, so B gets = 5x = 5*10,000**What is the population of city A?**

I. The population of city A becomes 2.2 lakhs after increasing the initial population by 10%.

II. The ratio of the population of city A to city B is 2 : 3.

A) Only I is sufficient

B) Only II is sufficient

C) Both I and II are required

D) Either I or II is sufficient

E) Neither I nor II is sufficient

**E) Neither I nor II is sufficient**

Explanation:

From I: Since time is not given that after how many years the population raised by 10%, initial pop. cannot be known

From II: populations are 2x and 3x respectively

No relation between both statements.**The selling price of an article is Rs 24,000. What is the profit earned on it?**

I. The cost price of 4 articles is equal to the selling price of 2 articles.

II. On selling the article, there is a profit of 20%.

A) Only I is sufficient

B) Only II is sufficient

C) Both I and II are required

D) Either I or II is sufficient

E) Neither I nor II is sufficient

**D) Either I or II is sufficient**

Explanation:

From I: CP of 4 = SP of 2

So gain% = (4-2)/2 * 100 = 100%

So CP = (100/200) *24,000 = 12000, so profit = 24000 – 13000 = 12000

From II: profit% = 20%

So CP = (100/120)*24,000 = 20,000, so profit = 24000 – 20000 = 4000

**On a certain amount invested at same rate in SI and CI, what is the rate of interest per annum?**

I. The difference between CI and SI for two years is Rs 150.

II. The amount gets double in 4 years on SI.

A) Only I is sufficient

B) Only II is sufficient

C) Both I and II are required

D) Either I or II is sufficient

E) Neither I nor II is sufficient

**B) Only II is sufficient**

Explanation:

From I: Pr^{2}/100^{2}= 150

We don’t have P, to find r

From II: Amount gets double, so SI = P

So P = P*4*r/100 gives r= 25%**What is the cost of flooring the rectangular hall?**

I. Cost of flooring the hall is Rs 55 per cm^{2}

II. The length of the hall is five-thirds of its breadth.

A) Only I is sufficient

B) Only II is sufficient

C) Both I and II are required

D) Either I or II is sufficient

E) Neither I nor II is sufficient

**E) Neither I nor II is sufficient**

Explanation:

At least one out of length or breadth is required to answer from both statements.

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