Quant Test for NIACL AO Prelims Exam Set – 11

Directions(1-5): What will be the approximate value in place of question mark ‘?’ in the following questions.

1. 84^2 – 79^2 + (1936)^1/2 – 20% of 980 = ?
   600
   580
   650
   663
   616
   Option D
   84^2 – 79^2 + (1936)^1/2 – 20% of 980 = ?
   =>815 + 44 – 196 = ?
   => ? = 663

    

2. (656/16 – 552/24 + 14 *17)^1/2 = ?
   14
   16
   10
   12
   18
   Option B
   (656/16 – 552/24 + 14 *17)^1/2 = ?
   => (41-23+238)^1/2 = ?
   => ? = 16

    

3. (2704)^1/2 *3 +246 – 332 – 189/9 = ?
   40
   35
   32
   33
   49
   Option E
   (2704)^1/2 *3 +246 – 332 – 189/9 = ?
   => 52*3 + 246 – 332 – 21 = ?
   => 156 + 246 – 332 – 21 = ?
   => ? = 49

    

4. 38^2 + 60% of 1350 – 16*28 = ?
   1770
   1806
   1775
   1666
   1800
   Option B
   38^2 + 60% of 1350 – 16*28 = ?
   => 1444 + 810 – 448 = ?
   => ? = 1806

    

5. 750 *(10.24)^1/2 = ?% of 480
   400
   500
   300
   600
   200
   Option B
   750 *(10.24)^1/2 = ?% of 480
   => 750 * 3.2 = ?% of 480
   => ? * 4.8 = 2400
   => ? = 500

    

6. A boat takes ‘x’ hours to reach point A from point B and ‘x-2’ hours to reach point B from point A. If speed of the stream is 5 km/hr. and boat takes 7 hours to travel 280 km in still water find the value of x.
   5
   4
   9
   7
   6
   Option C
   Speed of boat in still water = 280/7 = 40 km/hr.
   Upstream speed = 40+5 = 45 km/hr.
   Downstream speed = 40 – 5 = 35 km/hr.
   35*x = 45*(x-2)
   => x = 9

    

7. Curved surface area of a cylindrical vessel is 1584 cm^2. If the height of the vessel is 18 cm, find the cost of painting the total surface area of the vessel at the rate of Rs.2 per cm^2.
   Rs.5320
   Rs.5555
   Rs.5250
   Rs.5015
   Rs.5632
   Option E
   Let the radius be r cm.
   2*22/7*r*18 = 1584
   => r = 14 cm
   Required cost = 2*22/7*14*(14+18)*2 = Rs.5632

    

8. An amount Rs.’x’ was lent at r% per annum simple interest. After 2 years, total amount becomes Rs. 2520 and after six years total amount becomes Rs.3960. Find the value of x.
   Rs.1600
   Rs.1400
   Rs.1200
   Rs.1800
   Rs.1000
   Option D
   Interest earned in last 4 years = 3960 – 2520 = Rs.1440
   Interest earned in first 2 years = Rs.360*2 = Rs.720
   Value of x = 2520 – 720 = Rs.1800

    

9. The ratio of the cost price of two articles A and B is 5:4 resp. The shopkeeper sold article A and B at 20% and 30% profit resp. Find the overall profit percent of the shopkeeper.
   20.20%
   28.28%
   32.34%
   24.44%
   20.12%
   Option D
   SP of article A = 1.2*5x = Rs.6x
   SP of article B = 1.3*4x = Rs.5.2x
   Total profit = 11.2x – 9x = Rs.2.2x
   Required profit% = (2.2x/9x)*100 = 24.44%

    

10. 20 men can do a work in 15 days while 10 women can do the same work in 20 days. In how many days will 18 men and 18 women do the same work?
    21/5 days
    17/2 days
    19/4 days
    20/3 days
    23/2 days
    Option D
    20m *15 = 10w*20
    => m = 2w/3
    (18m+18w)*x = 10w*20
    => x = 20/3 days