Data Interpretation Quiz for SBI PO 2016 – Set 4

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?

(a) 20

(b) 21

(c) 23

(d) 24

(e) 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?

(a) 61

(b) 63

(c) 65

(d) 67

(e) 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?

(a) 15 : 11

(b) 15 : 8

(c) 15 : 7

(d) 15 : 13

(e) 8 : 7

4. What is the number of male athletes who participated in at most two categories of race?

(a) 104

(b) 106

(c) 108

(d) 110

(e) 112

5. The number of male athletes who participated in all three categories of race is what percentage of total number of female athletes?

(a) 10%

(b) 20%

(c) 30%

(d) 40%

(e) None of these

Study the graph carefully to answer the questions that follow:

Total production of Fruits in different years (In tonnes):

Percentage of different Fruits remains same in all the years :

6. If 16 2/3% of Mango produced in 2012 was exported at Rs 45 per kg. What was the total revenue, earned from export of Mango in the year 2012?

(a) Rs 3.24 Lakh

(b) Rs 3.64 Lakh

(c) Rs 3.54 Lakh

(d) Rs 3.84 Lakh

(e) None of these

7. What was the respective ratio between Orange and Mango produced in 2010 to same fruits produced in 2012?

(a) 4 : 5

(b) 3 : 5

(c) 5 : 4

(d) 5 : 7

(e) None of these

8. If half of the Grapes produced in 2008 was exported and total revenue generated it was approximately Rs 1.4 lakh. What was the price per tonnes generated by Grapes exported?

(a) Rs 7000 / tonnes

(b) Rs 7200 / tonnes

(c) Rs 6200 / tonnes

(d) Rs 7500 / tonnes

(e) None of these

9. If total fruits produced in 2006 is 20 % less than fruits produced in 2011, then how many Pineapple are produced in 2006?

(a) 65 tonnes

(b) 70 tonnes

(c) 80 tonnes

(d) 85 tonnes

(e) None of these

10. What is the respective ratio between Orange produced in 2010 to Mango produced in 2006, if total fruits produced in 2006 is 25% less than fruit produced in 2011?

(a) 4 : 6

(b) 7 : 6

(c) 4 : 3

(d) 3 : 5

(e) None of these

11. Mango produced in 2011 is approximately what per cent is more than Mango produced in 2010 ?

(a) 33.33 %

(b) 35 %

(c) 31.35 %

(d) 35.83 %

(e) None of these

12. What is the difference between Pineapple and Grapes produced in 2010 together and Orange and Mango together produced in 2008 ?

(a) 82 tonnes

(b) 78 tonnes

(c) 69 tonnes

(d) 71 tonnes

(e) None of these

6. 240000 x 18% x 1/6 x 45

= 324000

So, 3.24 Lakh

Note: 16 2/3% = 1/6

7. 300 × (18% + 15 %) : 240 (18% + 15 %)

= 30 : 24 = 5 : 4

8. Exported grapes in 2008 = 200 x 20% x 1/2 = 20 tonnes

Per tonnes price = 1.4/20 = 140000/20 = 7000.

9. 400 x 80/100 x 25/100 = 80 tonnes

10. 300 × 15% : 400 × 75 % × 18% = 4500 : 4 × 75 × 18

= 300 : 4 × 5 × 18 —15 : 18

So, 5 : 6

11. (400 – 300) = 100

So 100/300 x 100 = 33.33%

12.  300 × 45 % – 200 × 33% = 135 – 66 = 69 tonnes