# Quant Test for IBPS Clerk 2018 Prelim Exam Set – 24

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

1. 41,54,71,90,113,?
147
140
135
121
142
Option E
+13
+17
+19
+23
+29
? = 142

2. 31,200,396,621,877,?
1155
1121
1166
1100
1125
Option C
+13^2
+14^2
+15^2
+16^2
+17^2
? = 1166

3. 2,10,26,50,82,?
122
125
115
130
110
Option A
0*1+2 = 2
2*3+4 = 10
4*5+6 = 26
6*7+8= 50
8*9+10 =82
10*11+12 =122

4. 35,74,118,167,?,280
228
221
233
224
232
Option B
Difference of difference of +5.
? = 221

5. 12,19,47,110,?,397
225
212
222
210
200
Option C
12+7*1^2 = 19
19+7*2^2 = 47
47+7*3^2 = 110
110+7*4^2 = 222
222+7*5^2 = 397
? = 222

In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females.Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females.Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of total number of athletes and among them 1/5 are females. Number of female athletes who participate 200 m and 400 m race but not in 100 m race is 8/15.

7. What is the number of female athletes who participated in exactly two categories of race?
25
18
21
20
15
Option C
Females = 5 + 8 + 8 = 21

8. What is the difference between the total number of male athletes and the number of female athletes who participated in exactly one category?
50
55
63
42
51
Option C
Total males = 120 Females(one cate) = 20 + 12 + 25
= 57
Difference = 120 – 57 = 63

9. What is the ratio of the total number of athletes who participated in 200m and 400m race but not in 100m race to the male athletes among them?
12 : 5
10 : 7
13 : 11
15 : 7
13 : 8
Option D
M + F = 15
F = 8
M = 7
Ratio = 15 : 7

10. What is the number of male athletes who participated in at most two categories of race?
113
121
100
112
111
Option D
Total males = 40 + 18 + 25 + 15 + 7 + 7 = 112

11. The number of male athletes who participated in all three categories of race is what percentage of total number of female athletes?
7%
8%
5%
10%
6%
Option D
Female(total) = 80
Male (alt-3 cate) = 10 – 2 = 8
Required % = 8/80*100 = 10%