IBPS Clerk Main: Quants Day 15

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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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1. 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
   
   Answer & Explanation

   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
   
   
   
2. 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
   
   Answer & Explanation

   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
   
   
3. 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
   
   Answer & Explanation

   D) 5√5
   Explanation:
   Use
   Distance = time * [B^2 – R^2] / 2*B
   30 = 9 * [15^2 – R^2] / 2*15
   
   
   
4. 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
   
   Answer & Explanation

   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
   
   
   
5. 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
   
   Answer & Explanation

   D) 12/55
   Explanation:
   2 green out of 4 green
   Prob = ⁴C₂ × ⁸C₁ / ¹²C₃
   
   
   
6. 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
   
   Answer & Explanation

   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
   
   
7. 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
   
   Answer & Explanation

   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.
   
   
8. 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
   
   Answer & Explanation

   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
   
   
   
9. 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
   
   Answer & Explanation

   B) Only II is sufficient
   Explanation:
   From I: Pr²/100² = 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%
   
   
10. What is the cost of flooring the rectangular hall?
    I. Cost of flooring the hall is Rs 55 per cm²
    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
    
    Answer & Explanation

    E) Neither I nor II is sufficient
    Explanation:
    At least one out of length or breadth is required to answer from both statements.