IBPS Clerk Prelims: Quants Day 13

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 Prelims Exam.

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1. A and B can complete a piece of work in 10 and 16 days respectively. They both start working, and after working for 4 days, A left. What is the total number of day for which B worked?
   A) 35 days
   B) 40 days
   C) 28/5 days
   D) 48 days
   E) 48/5 days
   
   Answer & Solution

   E) 48/5 days
   Explanation:
   A+B 1 day work = 1/10 + 1/16 = 13/80
   They worked for 4 days, so work done in 4 days = 4 * 13/80 = 13/20
   Work left = 1 – 13/20 = 7/20
   B does 1/16 work in 1 day so 7/20 work in 7/20 * 16/1 = 28/5 days
   So total 4 + 28/5
   
   
2. There are 5 white, 5 black and 5 green balls in a bag. Three balls are drawn at random. What is the probability that 2 are green
   A) 19/91
   B) 20/91
   C) 21/50
   D) 19/35
   E) 20/81
   
   Answer & Solution

   B) 20/91
   Explanation:
   5C2 * 10C1/15C3
   
   
3. Two articles costs Rs 18,000. One of them is sold at 20% profit and other at 20% loss. It is found that the selling price of both articles is same. Find the ratio of the cost price of 1st article to 2nd article.
   A) 2 : 5
   B) 3 : 2
   C) 2 : 3
   D) 1 : 4
   E) 1 : 5
   
   Answer

   C) 2 : 3
   Explanation:
   Let CP of one sold at 20% profit = x
   So 120/100 * x = 80/100 * (18,000-x)
   x = 7200
   7200 : 10800 = 2 : 3
   
   
4. A and B start a business. A invests Rs 10,000 and B Rs 20,000. After 6 months, both invested Rs 20,000 more. Find the ratio in which their profits will be shared.
   A) 2 : 5
   B) 3 : 2
   C) 2 : 3
   D) 1 : 4
   E) 1 : 5
   
   Answer

   C) 2 : 3
   Explanation:
   10000*6 + 30000*6 : 20000*6 + 40000*6
   
   
5. Four years ago the ratio between the ages of Taani and Ananya was 4:5. The ratio between their present ages is 14:17. What will be Ananya’s age 5 years hence?
   A) 34 years
   B) 33 years
   C) 38 years
   D) 28 years
   E) None of these
   
   Answer

   E) None of these
   Explanation:
   T/A = 14/17
   T-4/A-4 = 4/5
   Solve the equations
   
   
6. The average of 5 numbers is 56.4. The average of first and second number is 53. The average of fourth and fifth number is 56. What is the third number?
   A) 63
   B) 64
   C) 67
   D) 68
   E) None of these
   
   Answer & Explanation

   B) 64
   Explanation:
   56.4*5 – [53*2 + 56 *2]
   
   
7. What will be the compound interest accrued on a principal amount of 32,000 at the rate of 11 p.c.p.a after a period of 2 years?
   A) Rs. 7429.5
   B) Rs. 7423.5
   C) Rs. 7428.2
   D) Rs. 7427.2
   E) None of these
   
   Answer & Explanation

   D) Rs. 7427.2
   Explanation:
   CI = 32000 [(1+11/100)^2 – 1]
   
   
8. How many words can be formed with the letters of the word ANKITA?
   A) 720
   B) 5040
   C) 120
   D) 360
   E) None of these
   
   Answer & Explanation

   D) 360
   Explanation:
   6!/2!
   
   
9. A boat goes from point A to B upstream and returns back to point A. If the time of journey from A to B is twice that of from B to point A, then the ratio of speed of the boat in still water to the speed of the current is
   A) 1 : 3
   B) 3 : 1
   C) 2 : 1
   D) 4 : 1
   E) Cannot be determined
   
   Answer & Explanation

   B) 3 : 1
   Explanation:
   Use:
   B = [t_u + t_d] / [t_u – t_d] * R
   B = [2s+s] / [2s-s] * R
   B/R = 3/1
   
   
10. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that atmost one ball is white.
    A) 28/43
    B) 28/33
    C) 7/33
    D) 5/23
    E) None of these
    
    Answer

    B) 28/33
    Explanation:
    Case 1: 0 white ball
    7C2/12C2
    Case 2: 1 white ball and other any of blue or red
    7C1*5C1/12C2
    Add the two cases.