Directions(1 - 5): The following pie - chart shows the marks obtained by a student in an examination, who scored 720 marks overall. Study the diagram and answer the questions that follow.
1. The marks scored in Mathematics and English together differ from the total marks scored in Bengali, History and Science by :
(1) 120
(2) 72
(3) 85
(4) 61
(5) None of these
2. The marks scored in English differ from the marks scored in Science by:
(1) 30
(2) 60
(3) 75
(4) 15
(5) None of these
3. The marks scored in Science are:
(1) 75
(2) 150
(3) 200
(4) 300
(5) None of these
4. The subject in which the student scored 16 2/3% of his total score is:
(1) English
(2) Mathematics
(3) Bengali
(4) History
(5) None of these
5. The subject in which the student scored 180 marks is:
(1) English
(2) Science
(3) Mathematics
(4) Bengali
(5) None of these.
6. A person travels 600 km by train at 80 km/hr, 800 km by ship at 40km/hr, 500 km by aeroplane at 400km/hr and 100 km by car at 50km/hr. Find the average speed for the entire distance.
(1) 65 5/123 km/hr
(2) 60km/hr
(3) 60 5/123 km/hr
(4) 62 km/hr
(5) None of these.
7. The LCM of two numbers is 495 and their HCF is 5.If the sum of the numbers is 100, then their difference is:
(1) 10
(2) 46
(3) 70
(4) 90
(5) None of these
8. What sum of money must be given at simple interest for six months at 4% per annum inorder to earn Rs 150/- interest?
(1) Rs 5000
(2) Rs 7,500
(3) Rs 10,000
(4) Rs 15,000
(5) None of these
9. Rahim bought a gift item for Rs 510/- after getting a discount of 15%. He then sells it 5% above the marked price. The profit earned in this deal is.
(1) Rs 150
(2) Rs. 120
(3) Rs 100
(4) Rs 90
(5) None of these
10. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it ?
(1) 4
(2) 5
(3) 6
(4) 8
(5)None of these
Answers
(1-5)
Marks scored in English = 60/360 x 720 = 120
Marks scored in Science = 75/360 x 720 = 150
Marks scored in History = 65/360 x 720 =130
Marks scored in Bengali = 70/360 x 720 = 140
Marks scored in Maths = 90/360 x 720 = 180
1.(1)
(140+130+150)-(120+180) = 120
2.(1)
150 - 120 = 30
3.(2)
4.(1)
50/300 x 720 = 120 = English
5.(3)
6.(1)
Average = Total Distance/Total time
Total Distance = 2000 i.e, (600+800+500+100)
Total Time = 600/80 + 800/40 + 500/400 + 100/50 = 30 3/4 hrs
Avg speed = 2000/(30 3/4) = 65 5/123 km/hr.
7.(1)
LCM X HCF = Product of numbers = 495 x 5
Let the numbers be x and y
x + y = 100
x(100 - x) = 2475
x^2 - 100x + 2475 = 0
x = 55 or 45
x = 55, then y = 45
Difference = 10
8.(2)
Let the sum be P
(P x 4 x 6)/(12 x 100) = 150
P = Rs 7,500
9.(2)
Let the Marked Price be M.
M x 85/100 = 510
M = 600
SP = 600 x 105/100 = 630
Profit = 630 - 510 = 120
10.(2)
3/30 + 5/50 = 2/10 = 5
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