Quant Test for NIACL AO Prelims Exam Set – 6

Directions(1-5): Find the missing number “?” of the following series.

1. 7,13,25,?,67,97
   20
   40
   22
   43
   25
   Option D
   +6,+12,+18,+24,+30
   ? = 43

    

2. 48,54,43,60,36,?
   52
   68
   55
   60
   44
   Option B
   +6,-11,+17,-24,+32
   ? = 68

    

3. 6,7,9,13,21,?
   37
   25
   30
   21
   27
   Option A
   +2*0.5
   +2*1
   +2*2
   +2*4
   +2*8
   ? = 37

    

4. 29,41,55,?,89,109
   66
   68
   71
   73
   77
   Option C
   5^2+4
   6^2+5
   7^2+6
   8^2+7
   9^2+8
   10^2+9
   ? = 71

    

5. 1,0,5,24,65,?
   139
   125
   130
   142
   136
   Option E
   1+1^2 -2
   0+3^2 -4
   5+5^2 -6
   24+7^2 -8
   65+9^2 -10
   ? = 136

    

6. In an examination, Ram got 41% marks and thus able to score 70 marks above passing marks. In the same examination Ganesh got 69% marks and thus was able to score 462 marks above passing marks. Find the passing percentage of the examination.
   33%
   28%
   25%
   36%
   30%
   Option D
   Let the maximum marks of the examination be x. 0.14x – 70 = 0.69x – 462
   => x = 1400
   Passing marks = 0.41*1400 – 70 = 504
   Passing% = 504/1400*100 = 36%

    

7. Average age of a class having ‘6x-1’ students is 3x years. Average age of the class is increased by two years, if the age of the principal is also included. Find the total number of students in the class if the age of the principal is 90 years .
   30
   25
   26
   35
   28
   Option D
   Sum of the ages of all the students = (6x-1)*3x = (18x^2 – 3x) years
   Sum of the ages of students along with principal = (6x – 1 + 1)*(3x+2) = 18x^2 + 12x
   18x^2 – 3x + 90 = 18x^2 + 12x
   => x = 6
   So, the total number of the students in the class = 6*6 – 1 = 35

    

8. A shopkeeper marked an article at 80% above the cost price and sold it after two consecutive discounts of 25% and 20%. Had he marked it at 60% above the cost price and sold it after a discount of 30%, he would have gained Rs. 540 more. Find the cost price of the article.
   11000
   12000
   13500
   14200
   10000
   Option C
   Let the CP be x.
   Original marked price of the article = Rs.1.8x
   Original SP of the article = 1.8x *0.75 *0.80 = Rs.1.08x
   New MP of the article = 1.60x
   New SP of the article = 1.60x*0.70 = Rs.1.12x
   Now, 1.12x – 1.08x = 540 => x = 13500

    

9. A,B and C together started a business with initial investments in the ratio 7:5:8 resp. After one year, A,B and C made additional investments in the ratio 1:2:5 resp. Find the average profit share of A and C out of the total profit of Rs.4800 after two years.
   Rs.1600
   Rs.1500
   Rs.1200
   Rs.1800
   Rs.1000
   Option D
   Ratio of their profits = (7x+7x+y) : (5x+5x+2y) : (8x+8x+5y)
   = 14x+y : 10x+2y : 16x+5y
   Profit share of A and C together = (30x+6y)/(40x+8y)*4800 = Rs.3600
   Average profit share of A and C together = 3600/2 = Rs.1800

    

10. A football team of 11 players is to be selected from a group of 3 goalkeepers, 8 defenders and 7 attackers. In how many ways a team having exactly one goalkeeper, atleast 4 defenders and atleast 4 attackers can be selected?
    7550
    7250
    7850
    7938
    7700
    Option D
    Required number of ways = 3C1*8C4*7C6 + 3C1*8C5*7C5 + 3C1*8C6*7C4
    = 1470 + 3528 + 2940 = 7938