IBPS Clerk Prelims: Quants Day 22

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.

Stratus – IBPS Clerk Course 2015 

Stratus - IBPS Clerk - Daily Test - Quants
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Directions (1-5): Study the information carefully to answer the questions that follow.
A Company produced five different products, Viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  1. What is the ratio of the number of washing machines to the number of calculators produced by the company?
    A) 17:11
    B) 19:11
    C) 11:17
    D) 19:13
    E) None of these
    Answer & Explanation
    B) 19:11
    Explanation:

    Mobiles = 24% of 1650 = 396
    Pendrives = 1/6 * 1650 = 275
    Calculators = 14/100 * 1650 = 231
    Left = 1650 – (396+275+231) = 748
    So TVs + Machines = 748, and also given that Machines = TVs +50. So, TVs = 349 and Machines = 399
    Machines : Calculators = 399 : 231
  2. If 24 percent of the pen drives are defective, what is the number of pen drives which are not defective?
    A) 209
    B) 215
    C) 219
    D) 225
    E) None of these
    Answer & Explanation
    A) 209
    Explanation:

    Defective pds = 24/100 * 275 = 66
    Non defective pds = 275-66
  3. The number of televisions produced is approximately what percent of the total number of calculators and washing machines produced together?
    A) 63
    B) 55
    C) 59
    D) 51
    E) 67
    Answer & Explanation
    B) 55
    Explanation:

    Cal + Machines = 231+399 = 630
    TVs = 349
    So required % = 349/630 * 100
  4. What is the difference between the total number of televisions and mobile phones together and the number of calculators produced?
    A) 534
    B) 524
    C) 511
    D) 523
    E) None of these
    Answer & Explanation
    E) None of these
    Explanation:

    349+396 – (231) = 514
  5. What is the total number of pen drives, calculators and washing machines produced by the company?
    A) 907
    B) 917
    C) 925
    D) 905
    E) None of these
    Answer & Explanation
    D) 905
    Explanation:

    275+231+399
  6. It takes 3 days for 10 men and 21 women to complete a piece of work and also 12 men can complete the same work in 6 days. Find the number of days in which 12 women can complete the same work.
    A) 10
    B) 9
    C) 11
    D) 8
    E) None of these
    Answer & Explanation
    B) 9
    Explanation:

    Let number of days taken by 1 women is w, and by 1 man is m.
    Then 1/m * 10 + 1/w * 21 = 1/3
    And also 1/m * 12 = 1/6, so m = 72
    This gives 1/72 * 10 + 1/w * 21 = 1/3 . so w = 108
    So 12 women in 108/12 days
  7. 4a2– 20a + 21 = 0, 2b2– 5b + 3 = 0
    A) If a < b
    B) If a > b
    C) if relationship between a and b cannot be established
    D) If a ≥ b
    E) If a ≤ b
    Answer & Explanation
    D) If a ≥ b
    Explanation:

    4a2– 20a + 21 = 0
    4a2 – 14a – 6a + 21 = 0
    2a(2a-7) – 3(2a-7)=0
    a = 7/2, 3/2
    2b2– 5b + 3 = 0
    2b2 – 2b – 3b + 3 = 0
    2b(b-1)-3(b-1)=0
    b=1, 3/2
    1              3/2                   7/2
  8. a2 = 4, b2= 9
    A) If a < b
    B) If a > b
    C) if relationship between a and b cannot be established
    D) If a ≥ b
    E) If a ≤ b
    Answer & Explanation
    C) if relationship between a and b cannot be established
    Explanation:

    a = -2, 2
    b = -3, 3
    -3         -2       2                3
  9. 2a2 + 3a + 1 = 0, 12b2 + 7b + 1 = 0
    A) If a < b
    B) If a > b
    C) if relationship between a and b cannot be established
    D) If a ≥ b
    E) If a ≤ b
    Answer & Explanation
    A) If a < b
    Explanation:

    2a2 + 3a + 1 = 0
    2a2 +2a + a +1 = 0
    2a(a+1)+(a+1)=0
    (a+1)(2a+1) =0
    a= -1, -1/2
    12b2 + 7b + 1 = 0
    12b2 +4b + 3b + 1 = 0
    4b(3b+1)+(3b+1) = 0
    b = -1/3, -1/4
    -1          -1/2            -1/3            -1/4
  10. a2 + 5a + 6 = 0, b2 + 3b + 2 = 0
    A) If a < b
    B) If a > b
    C) if relationship between a and b cannot be established
    D) If a ≥ b
    E) If a ≤ b
    Answer & Explanation
    E) If a ≤ b
    Explanation:

    a2 + 5a + 6 = 0
    (a+3)(a+2) = 0
    a = -3, -2
    b2 + 3b + 2 = 0
    (b+2)(b+1) = 0
    b = -2, -1
    -3          -2         -1