# Quant Test for NIACL AO Prelims Exam Set – 14

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

1. 112,134,164,?,240,282
200
168
150
135
194
Option A
+11*2
+10*3
+9*4
+8*5
+7*6
? = 200

2. 25,38,45,50,54,?
44.4
35.8
57.4
51.1
41.5
Option C
+13/1
+14/2
+15/3
+16/4
+17/5
? = 57.4

3. 12,25,42,?,88,117
44
50
52
63
48
Option D
4*(1+2)
5*(2+3)
6*(3+4)
7*(4+5)
8*(5+6)
9*(6+7)
? = 63

4. 1,12,63,208,525,?
1551
1125
1010
1116
1000
Option D
1^4 -1^3 + 1^2
2^4 -2^3 + 2^2
3^4 -3^3 + 3^2
4^4 -4^3 + 4^2
5^4 -5^3 + 5^2
6^4 -6^3 + 6^2
? = 1116

5. 39,41,47,67,?,219
100
95
99
90
109
Option E
+2^2-2
+3^2-3
+5^2-5
+7^2-7
+11^2-11
? = 109

6. Length and breadth of a rectangular is 44 m and 38 m resp. A path is made around the park from outside of width 3.5 m and paved with marbles. Find the cost of paving the path, if it costs Rs.2 per cm^2.
Rs. 1115
Rs. 1246
Rs. 1335
Rs. 1150
Rs. 1662
Option B
Area of paved park with marble = (44+3.5*2)*(38+3.5*2) – 44*38
= 623 cm^2
Required cost = 623*2 = Rs. 1246

7. A and B started a business in partnership with investment of Rs.2400 and Rs.3200 resp. After one year , A increased his investment by 15% while B decreased his investment by 20%. At the end of 2 years, they earned a profit of Rs.5460 find the profit of A.
Rs.2440
Rs.2120
Rs.2520
Rs.2580
Rs.2200
Option D
Total investment of A = 2400+1.15*2400 = Rs.5160
Total investment of B = 3200+0.8*3200 = Rs.5760
Ratio of investment of A and B = 43:48
Profit of A = 43/91*5460 = Rs.2580

8. An article was sold at 20% loss. If the marked price of the article was Rs.800 and discount given by the shopkeeper was 36% find the cost price of the article.
Rs.615
Rs.640
Rs.515
Rs.555
Rs.600
Option B
SP of the article = 64% of 800 = 512
CP of the article = 512/80*100 = Rs.640

9. A boat can cover 42 km upstream and 126 km downstream in 8 hours. Speed of the stream is how much percent less than the speed of the boat in still water if the boat can cover 60 km upstream and 168 km downstream in 11 hours?
20%
30%
40%
50%
60%
Option E
42/x+126/y = 8 —–(1)
60/x+168/y = 11 —-(2)
On solving (1) and (2), we get 12 kmhr and 28kmhr upstream and downstream resp.
Speed of the boat in still water = (12+28)/2 = 20 km/hr.
Speed of the stream = (28-12)/2 = 8 km/hr.
Required% = (20-8)/20*100 = 60%

10. A bag contains 16 red, 23 blue and 26 green balls. Two balls are randomly drawn from the bag, what is the probability that a red ball and a green ball are drawn from the bag?
1/4
1/9
1/5
1/7
1/3
Option C
Required probability that a red ball and a green ball are drawn
= (16C1*26C1)/65C2 = 1/5