Quant Test for IBPS PO 2018 Prelim Exam Set – 11

Directions(1-5): What will come in place of question mark “?” in the following questions.

1. (13)^2 – (4)^3 – √676 + 2 = (?)^2
   81
   77
   90
   85
   92
   Option A
   (13)^2 – (4)^3 – √676 + 2 = (?)^2
   =>(?) = 169 – 64 – 26 + 2
   = 81

    

2. 24.92% of 1504 + 44.88% of 804 = ?
   690
   685
   711
   708
   735
   Option E
   24.92% of 1504 + 44.88% of 804 = ?
   = 25/100 × 1500 + 45/100 × 800
   = 375 + 360 = 735

    

3. 69.39 – 58.46 + 79.98 = ? + 76.92
   11
   14
   16
   10
   15
   Option B
   69.39 – 58.46 + 79.98 = ? + 76.92
   = 90.91–76.92 = 13.99 == 14

    

4. 444 ÷ 12 × 28 – 724 + 112 = ?
   180
   211
   192
   200
   199
   Option D
   444 ÷ 12 × 28 – 724 + 112 = ?
   = 1036 – 836 = 200

    

5. 2405 ÷ 47.88 + 20.12 × 24.96 = ?
   550
   485
   500
   515
   496
   Option A
   2405 ÷ 47.88 + 20.12 × 24.96 = ?
   Let, 2400/48 + 20×25
   = 50 + 500
   = 550

    

6. Murali borrows Rs.3500 from a bank at SI. After 3 years he paid Rs.1500 to the bank and at the end of 5 yrs from the date of borrowing he paid Rs.2725 to the bank to settle the account. Find the rate of interest.
   6%
   8%
   7%
   5%
   10%
   Option D
   Total interest
   = (interest on 3500 for 3 years)+(interest on 2000 for 2 years)
   => [3500×3×𝑅]/ 100 + [2000×2×𝑅]/ 100
   = 1500 + 2725 – 3500
   => 105R + 40R = 725
   => R = 5%

    

7. Rajesh started a business with Rs.20,000 and his friend Shilpa joined him after 4 months with Rs.30,000. After 2 more months, Rajesh withdrew Rs.5,000 of his capital and 2 more months later, Shilpa brought in Rs.20,000 more. If they want to share their profits at the end of the year then find the ratio.
   20:33
   21:32
   29:32
   21:31
   22:35
   Option B
   Now,
   (20000×6+15000×6):(30000×4+50000×4)
   = (20×6+15×6):(30×4+50×4)
   = (20×3+15×3):(30×2:50×2)
   = 105:160 = 21:32

    

8. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?
   8 a.m
   1 p.m
   11 a.m
   3 p.m
   12 p.m
   Option C
   Total distance travelled => 330 = 60x + 75(x−1)
   => 12x + 15(x−1) = 66
   => 12x + 15x−15 = 66
   => 27x = 66 +15 = 81
   => 3x = 9
   => x = 3
   Hence, the trains meet at 11 a.m.

    

9. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
   15
   10
   25
   20
   16
   Option E
   Wages of 1 man for 25 days
   = [21600 × 2 × 25]/[ 40 × 30] Number of men = 14400/[( 21600 × 2 × 25)/40 × 30] = 16

    

10. A box contains 30 electric bulbs, out of which 8 are defective. Four bulbs are chosen at random from this box. Find the probability that at least one of them is defective?
    575/783
    573/789
    571/788
    574/783
    570/783
    Option D
    Required Probability = 1 – 22C4/30C4
    = 1 – 209/783
    = 574/783