IBPS Clerk Main: Quants Day 16

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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 bag contains 3 green, 4 yellow and 5 blue colored marbles. What is the probability of drawing 2 marbles such that both are different in color?
   A) 27/130
   B) 41/110
   C) 13/66
   D) 47/66
   E) 21/65
   
   Answer & Explanation

   D) 47/66
   Explanation:
   Case 1: 1 green+1 yellow
   ³C₁*⁴C₁/¹²C₂
   Case 2: 1 green+1 blue
   ³C₁*⁵C₁/¹²C₂
   Case 3: 1 yellow+1 blue
   ⁵C₁*⁴C₁/¹²C₂
   Add all cases
   
   
   
2. Asha and Manisha have their ages in the ratio 2 : 3 respectively and that of Asha to Anisha is 4 : 9 respectively. Also the difference in the ages of Manish and Anisha is 15 years. What is the age of Anisha?
   A) 25
   B) 52
   C) 45
   D) 48
   E) 36
   
   Answer & Explanation

   C) 45
   Explanation:
   Let Asha = A, Manisha = B, Asnisha = C
   B/A = 3/2 and A/C = 4/9
   So B : A : C = 3*4 : 2*4 : 2*9 = 6 : 4 : 9
   A = 6x, B = 4x, C = 9x
   So 9x – 6x = 15, this gives x = 5
   Age of Anisha = 9x = 45
   
   
   
3. A person invested a total of Rs 22,000 in two schemes A and B. Scheme A offers 6% as interest rate and scheme B offers 8% interest rate. At the end of year, the interest from one of the scheme is twice that from another scheme. What is the amount invested in scheme A?
   A) Rs 14,650
   B) Rs 12,050
   C) Rs 16,500
   D) Rs 16,000
   E) Rs 15,000
   
   Answer & Explanation

   D) Rs 16,000
   Explanation:
   x*6/100 = 2 [(22000-x)*8/100] Solve, x = 16000
   
   
4. From a 80 litres mixture of milk and water, 40% of milk and 20% of water is taken out. What is the initial quantity of milk present in the mixture if after the process, 35% of the mixture was taken out?
   A) 54 litres
   B) 60 litres
   C) 62 litres
   D) 49 litres
   E) 56 litres
   
   Answer & Solution

   B) 60 litres
   Explanation:
   By method of allegation:
   Milk water
   40% 20%
   . 35%
   15% 5%
   15 : 5 = 3 : 1
   Milk = 3/(3+1) * 80 = 60 l
   
   
   
5. A, B and C started a business by investing Rs 5400, Rs 6000 and Rs 4800 respectively. After 7 months A withdrew Rs 300 and B Rs 600 while C added Rs 900. What is the share of B from a total profit of Rs 84,240 at the end of a year?
   A) Rs 26,500
   B) Rs 24,000
   C) Rs 25,300
   D) Rs 29,900
   E) None of these
   
   Answer & Explanation

   D) Rs 29,900
   Explanation:
   5400*7 + 5100*5 : 6000*7 + 5400*5 : 4800*7 + 5700*5
   211 : 230 : 207
   B gets = (230/648) * 84240
   
   
   
6. Travelling at a speed of 6 km/hr takes 40 mins longer to reach to a certain destination and travelling at 8 km/kr covers the same distance in 12 mins less. What is the distance between the starting point and destination?
   A) 25.5 km
   B) 28.6 km
   C) 18.2 km
   D) 20.8 km
   E) None of these
   
   Answer & Explanation

   D) 20.8 km
   Explanation:
   Shortcut-
   [6*8/(8-6)] * 52/60
   
   
7. A and B alone can complete a piece of work in 30 and 36 days respectively. A starts the work and after working for 5 days, B replaces A. In how many days B will do the remaining work?
   A) 25days
   B) 32days
   C) 33days
   D) 30days
   E) None of these
   
   Answer & Explanation

   D) 30days
   Explanation:
   A works in 30 days, so in 5 days he completes (1/30)*5 = 1/6th of work
   Remaining work = 1 – 1/6 = 5/6
   B do 1 work in 36 days, so 5/6 work in (5/6)*36
   
   
8. There are 3 pipes A, B and C. A and B alone can fill a tank in 20 minutes and 40 minutes respectively while C can empty the tank in 20 minutes. A and B are opened for 7 minutes after which C is also opened. In how much time the tank will be filled?
   A) 22 minutes
   B) 32 minutes
   C) 30 minutes
   D) 26 minutes
   E) 25 minutes
   
   Answer & Explanation

   D) 26 minutes
   Explanation:
   Let after 7 minutes, tank takes x more minutes to be filled. So
   (1/20 + 1/40)*7 + (1/20 + 1/40 – 1/20)*x = 1
   Solve, x = 19
   So total time to fill the tank = 19+7
   
   
   
9. When 4 is added to the numerator of a fraction and 5 is added to its denominator, the new fraction becomes 4/5. What is the original fraction?
   A) 5/4
   B) 4/5
   C) 4/9
   D) 9/11
   E) None of these
   
   Answer & Explanation

   B) 4/5
   Explanation:
   x/y
   (x+4)/(y+5) = 4/5
   Solve, x = 4/5 * y
   So original fraction = [4/5 * y ] / y
   
   
10. Four bells start tolling together and after this they toll at the intervals of 4, 8, 12, and 16 seconds respectively. How many times they will toll together in 12 minutes?
    A) 21
    B) 15
    C) 24
    D) 19
    E) 16
    
    Answer & Explanation

    E) 16
    Explanation:
    LCM of 4, 8, 12, 16 = 48sec
    12 minutes = 12*60 = 720 sec
    In 720 sec – 720/48 = 15
    15+1