Data Interpretation Quiz for IBPS PO, SBI PO, RBI Grade B, 2018

Directions : Study the information carefully and answer the questions given beside.

The following table gives the percentage of marks obtained by six students viz. Monu, Tonu, Sonu, Swati, Babita and Reena in six subjects – Hindi, English, Mathematics, Computer, SST, and Science in Board Examination. The maximum marks for each subject is given along with the subject.

Subject→
Student↓
Hindi
(100)
English
(100)
Mathematics
(150)
Computer
(150)
SST
(100)
Science
(100)
Monu 85 75 60 80 75 60
Tonu 80 90 72 70 75 65
Sonu 60 72 90 70 90 75
Swati 90 70 85 60 80 55
Babita 78 65 60 80 65 50
Reena 65 80 70 70 60 70
1
What is the percentage of lowest marks scored in all the subject together to the highest marks scored in all the subject together?
» Explain it
B
Following the common explanation we get ;

Total marks of Monu in all the subject together = (85 + 75 + 90 + 120 + 75 + 60) = 505
 
Total marks of Tonu in all the subject together = (80 + 90 + 108 + 105 + 75 + 65) =523
 
Total marks of Sonu in all the subject together = (60 + 72 + 135 + 105 + 90 + 75) = 537
 
Total marks of Swati in all the subject together = (90 + 70 + 127.5 + 90 + 80 + 55) = 512.5
 
Total marks of Babita in all the subject together = (78 + 65 + 90 + 120 + 65 + 50) = 468
 
Total marks of Reena in all the subject together = (65 + 80 + 105 + 105 + 60 + 70) = 485
 
Highest marks scored in all the subject together by Sonu and marks = 537
 
Lowest marks scored in all the subject together by Babita and marks = 468
 
Required percentage =  468  ×100 = 87.2%
537

Hence, option (B) is correct.

Common Explanation : 

Subject→
Student↓
Marks scored in Hindi
 (out of 100)
Marks scored in English
 (out of 100)
Marks scored in Maths
(out of 150)
Marks scored in Computer (out of 150) Marks scored in SST (out of 100) Marks scored in Science
(out of 100)
Monu (100×85)/100 = 85 (100×75)/100 = 75 (150×60)/100 = 90 (150×80)/100 = 120 (100×75)/100 = 75 (100×60)/100 = 60
Tonu (100×80)/100 = 80 (100×90)/100 = 90 (150×72)/100 = 108 (150×70)/100 = 105 (100×75)/100 = 75 (100×65)/100 = 65
Sonu (100×60)/100 = 60 (100×72)/100 = 72 (150×90)/100 = 135 (150×70)/100 = 105 (100×90)/100 = 90 (100×75)/100 = 75
Swati (100×90)/100 = 90 (100×70)/100 = 70 (150×85)/100 = 127.5 (150×60)/100 = 90 (100×80)/100 = 80 (100×55)/100 = 55
Babita (100×78)/100 = 78 (100×65)/100 = 65 (150×60)/100 = 90 (150×80)/100 = 120 (100×65)/100 = 65 (100×50)/100 = 50
Reena (100×65)/100 = 65 (100×80)/100 = 80 (150×70)/100 = 105 (150×70)/100 = 105 (100×60)/100 = 60 (100×70)/100 = 70
 

2
If marks of subject computer is not considered for the ranking, then which student would be ranked third?
» Explain it
B
Following the common explanation we get :
Total marks of Monu in all the subject together except Computer = (85 + 75 + 90 + 75 + 60) = 385
 
Total marks of Tonu in all the subject together except Computer = (80 + 90 + 108 + 75 + 65) = 418
 
Total marks of Sonu in all the subject together except Computer = (60 + 72 + 135 + 90 + 75) = 432
 
Total marks of Swati in all the subject together except Computer = (90 + 70 + 127.5 + 80 + 55) = 422.5
 
Total marks of Babita in all the subject together except Computer = (78 + 65 + 90 + 65 + 50) = 348
 
Total marks of Reena in all the subject together = (65 + 80 + 105 + 60 + 70) = 380
 
Thus, Tonu got rank third in this context.
 
Hence, option (B) is correct.

Common Explanation : 

Subject→
Student↓
Marks scored in Hindi
 (out of 100)
Marks scored in English
 (out of 100)
Marks scored in Maths
(out of 150)
Marks scored in Computer (out of 150) Marks scored in SST (out of 100) Marks scored in Science
(out of 100)
Monu (100×85)/100 = 85 (100×75)/100 = 75 (150×60)/100 = 90 (150×80)/100 = 120 (100×75)/100 = 75 (100×60)/100 = 60
Tonu (100×80)/100 = 80 (100×90)/100 = 90 (150×72)/100 = 108 (150×70)/100 = 105 (100×75)/100 = 75 (100×65)/100 = 65
Sonu (100×60)/100 = 60 (100×72)/100 = 72 (150×90)/100 = 135 (150×70)/100 = 105 (100×90)/100 = 90 (100×75)/100 = 75
Swati (100×90)/100 = 90 (100×70)/100 = 70 (150×85)/100 = 127.5 (150×60)/100 = 90 (100×80)/100 = 80 (100×55)/100 = 55
Babita (100×78)/100 = 78 (100×65)/100 = 65 (150×60)/100 = 90 (150×80)/100 = 120 (100×65)/100 = 65 (100×50)/100 = 50
Reena (100×65)/100 = 65 (100×80)/100 = 80 (150×70)/100 = 105 (150×70)/100 = 105 (100×60)/100 = 60 (100×70)/100 = 70

3
What is the percentage of total marks scored by the six students in Hindi and Mathematics combined together to the English and SST combined together?
» Explain it
D
Following the common explanation we get ;

Total marks scored by the six students in Hindi = (85 + 80 + 60 + 90 + 78 + 65) = 458
 
Total marks scored by the six students in Mathematics = (90 + 108 + 135 + 127.5 + 90 + 105) = 655.5
 
Total marks scored by the six students in English = (75 + 90 + 72 + 70 + 65 + 80) = 452
 
Total marks scored by the six students in SST = (75 + 75 + 90 + 80 + 65 + 60) = 445
 
Total marks scored by the six students in Hindi and Mathematics combined together = (458 + 655.5) = 1113.5
 
Total marks scored by the six students in English and SST combined together = (452 + 445) = 897
 
Required percentage =  1113.5  × 100 = 124%
897

Hence, option (D) is correct.

Common Explanation : 

Subject→
Student↓
Marks scored in Hindi
 (out of 100)
Marks scored in English
 (out of 100)
Marks scored in Maths
(out of 150)
Marks scored in Computer (out of 150) Marks scored in SST (out of 100) Marks scored in Science
(out of 100)
Monu (100×85)/100 = 85 (100×75)/100 = 75 (150×60)/100 = 90 (150×80)/100 = 120 (100×75)/100 = 75 (100×60)/100 = 60
Tonu (100×80)/100 = 80 (100×90)/100 = 90 (150×72)/100 = 108 (150×70)/100 = 105 (100×75)/100 = 75 (100×65)/100 = 65
Sonu (100×60)/100 = 60 (100×72)/100 = 72 (150×90)/100 = 135 (150×70)/100 = 105 (100×90)/100 = 90 (100×75)/100 = 75
Swati (100×90)/100 = 90 (100×70)/100 = 70 (150×85)/100 = 127.5 (150×60)/100 = 90 (100×80)/100 = 80 (100×55)/100 = 55
Babita (100×78)/100 = 78 (100×65)/100 = 65 (150×60)/100 = 90 (150×80)/100 = 120 (100×65)/100 = 65 (100×50)/100 = 50
Reena (100×65)/100 = 65 (100×80)/100 = 80 (150×70)/100 = 105 (150×70)/100 = 105 (100×60)/100 = 60 (100×70)/100 = 70

4
What is the ratio of total scored of Monu and Swati in all the subject together to the total score of Sonu and Reena in all the subject together?
» Explain it
C
Following the common explanation we get ;

Total marks of Monu in all the subject together = (85 + 75 + 90 + 120 + 75 + 60) = 505
 
Total marks of Tonu in all the subject together = (80 + 90 + 108 + 105 + 75 + 65) =523
 
Total marks of Sonu in all the subject together = (60 + 72 + 135 + 105 + 90 + 75) = 537
 
Total marks of Swati in all the subject together = (90 + 70 + 127.5 + 90 + 80 + 55) = 512.5
 
Total marks of Babita in all the subject together = (78 + 65 + 90 + 120 + 65 + 50) = 468
 
Total marks of Reena in all the subject together = (65 + 80 + 105 + 105 + 60 + 70) = 485
 
So, total scored of Monu and Swati in all the subject together = (505 + 512.5) = 1017.5
 
Also, the total score of Sonu and Reena in all the subject together = (537 + 485) = 1022
 
Required ratio =  1017.5  × 100  =  2035
1022 2044

Hence, option (C) is correct.


Common Explanation : 

Subject→
Student↓
Marks scored in Hindi
 (out of 100)
Marks scored in English
 (out of 100)
Marks scored in Maths
(out of 150)
Marks scored in Computer (out of 150) Marks scored in SST (out of 100) Marks scored in Science
(out of 100)
Monu (100×85)/100 = 85 (100×75)/100 = 75 (150×60)/100 = 90 (150×80)/100 = 120 (100×75)/100 = 75 (100×60)/100 = 60
Tonu (100×80)/100 = 80 (100×90)/100 = 90 (150×72)/100 = 108 (150×70)/100 = 105 (100×75)/100 = 75 (100×65)/100 = 65
Sonu (100×60)/100 = 60 (100×72)/100 = 72 (150×90)/100 = 135 (150×70)/100 = 105 (100×90)/100 = 90 (100×75)/100 = 75
Swati (100×90)/100 = 90 (100×70)/100 = 70 (150×85)/100 = 127.5 (150×60)/100 = 90 (100×80)/100 = 80 (100×55)/100 = 55
Babita (100×78)/100 = 78 (100×65)/100 = 65 (150×60)/100 = 90 (150×80)/100 = 120 (100×65)/100 = 65 (100×50)/100 = 50
Reena (100×65)/100 = 65 (100×80)/100 = 80 (150×70)/100 = 105 (150×70)/100 = 105 (100×60)/100 = 60 (100×70)/100 = 70

5
After the scrutiny if the total marks of Sonu, Monu and Reena in all the subject have increased by 10%, 11% and 12% respectively and the total marks of Tonu, Swati and Babita in all the subject have decreased by 5%, 10% and 15% respectively then what is the difference in total marks to top two scorer to the last two scorer?
» Explain it
A
Following the common explanation we get ;

Total marks of Monu in all the subject together = (85 + 75 + 90 + 120 + 75 + 60) = 505
 
Total marks of Monu after increment = (505 × 1.11) = 560.55
 
Total marks of Tonu in all the subject together = (80 + 90 + 108 + 105 + 75 + 65) =523
 
Total marks of Tonu after decrement = (523 × 0.95) = 496.85
 
Total marks of Sonu in all the subject together = (60 + 72 + 135 + 105 + 90 + 75) = 537
 
Total marks of Sonu after increment = (537 × 1.10) = 590.7
 
Total marks of Swati in all the subject together = (90 + 70 + 127.5 + 90 + 80 + 55) = 512.5
 
Total marks of Swati after decrement= (512.5 × 0.90) = 461.25
 
Total marks of Babita in all the subject together = (78 + 65 + 90 + 120 + 65 + 50) = 468
 
Total marks of Babita after decrement = (468 × 0.85) = 397.8
 
Total marks of Reena in all the subject together = (65 + 80 + 105 + 105 + 60 + 70) = 485
 
Total marks of Reena after increment = (485 × 1.12) = 543.2
 
Sum of marks of top two scorer = (590.7 + 560.55) = 1151.25
 
Sum of marks of last two scorer = (397.8 + 461.25) = 859.05
 
Required difference = (1151.25 – 859.05) = 292.2

Hence, option (A) is correct.
 

Common Explanation : 

Subject→
Student↓
Marks scored in Hindi
 (out of 100)
Marks scored in English
 (out of 100)
Marks scored in Maths
(out of 150)
Marks scored in Computer (out of 150) Marks scored in SST (out of 100) Marks scored in Science
(out of 100)
Monu (100×85)/100 = 85 (100×75)/100 = 75 (150×60)/100 = 90 (150×80)/100 = 120 (100×75)/100 = 75 (100×60)/100 = 60
Tonu (100×80)/100 = 80 (100×90)/100 = 90 (150×72)/100 = 108 (150×70)/100 = 105 (100×75)/100 = 75 (100×65)/100 = 65
Sonu (100×60)/100 = 60 (100×72)/100 = 72 (150×90)/100 = 135 (150×70)/100 = 105 (100×90)/100 = 90 (100×75)/100 = 75
Swati (100×90)/100 = 90 (100×70)/100 = 70 (150×85)/100 = 127.5 (150×60)/100 = 90 (100×80)/100 = 80 (100×55)/100 = 55
Babita (100×78)/100 = 78 (100×65)/100 = 65 (150×60)/100 = 90 (150×80)/100 = 120 (100×65)/100 = 65 (100×50)/100 = 50
Reena (100×65)/100 = 65 (100×80)/100 = 80 (150×70)/100 = 105 (150×70)/100 = 105 (100×60)/100 = 60 (100×70)/100 = 70