# Night Class: Quant Quiz

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 athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.

1. What is the number of female athletes who participated in exactly two categories of race?
1) 20
2) 21
3) 23
4) 24
5) 25
2. What is the difference between the total number of male athletes and the number of female athletes who participated in exactly one category?
1) 61
2) 63
3) 65
4) 67
5) 69
3. 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?
1) 15 : 11
2) 15 : 8
3) 15 : 7
4) 15 : 13
5) 8 : 7
4. What is the number of male athletes who participated in at most two categories of race?
1) 104
2) 106
3) 108
4) 110
5) 112
5. The number of male athletes who participated in all three categories of race is what percentage of total number of female athletes?
1) 10%
2) 20%
3) 30%
4) 40%
5) None of these
Directions: What approximate value should come in the place of question mark (?) in the following questions?
6. (72)^2 × 2.85
1) 12825
2) 13625
3) 14775
4) 15625
5) 16875
7. (475% of 884) ÷ 35 = ?
1) 116
2) 120
3) 124
4) 127
5) 132
8. (0.000428 ÷ 0.00040) × 55.05 = ?
1) 53
2) 56
3) 59
4) 63
5) 73

9. 1/(4)^2 * 175.956 + 1/(2)^3 * 351.59 – 4.989 = ?
1) 45
2) 50
3) 55
4) 60
5) 65
10. cube root(10650) = ?
1) 22
2) 26
3) 18
4) 28
5) 24

1. 2
Females = 5 + 8 + 8 = 21

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2. 2;
Total males = 120, Females (one cate) = 20 + 12 + 25 = 57
Diff = 120 – 57 = 63

3. 3;
M + F = 15, F = 8
M = 7,
Ratio = 15 : 7

4. 5;
Total males = 40 + 18 + 25 + 15 + 7 + 7 = 112

5. 1;
Female(total) = 80,
Male (alt-3 cate) = 10 – 2 = 8
% = 8/80 * 100 = 10%

6. 3

7. 2

8. 3

9. 2

10. 1