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[WpProQuiz 6989]1) If the numerator of a fraction is increased by 80% and the denominator of the fraction is increased by 120%, the resultant fraction becomes 5/11. Then what is the original fraction?
a) 6/7
b) 2/11
c) 3/14
d) 5/9
e) None of these
2) A, B and C together have Rs. 33250. If 3/7th of A’s amount is equal to 2/3rd of B’s amount and 1/4th of B’s amount is equal to 5/8th of C’s amount, then how much amount does A have?
a) Rs. 15250
b) Rs. 16750
c) Rs. 19800
d) Rs. 17500
e) None of these
3) A, B and C started a business by investing an amount of Rs. 45000, Rs. 65000 and Rs. 70000 respectively. After 3 months, A invested Rs. 15000 more and B withdraw Rs. 5000. And after 4 months, C withdraw Rs. 15000. If the total profit at the end of the year is Rs. 114405, then find the share of A?
a) Rs. 35505
b) Rs. 32960
c) Rs. 28730
d) Rs. 26525
e) None of these
4) A 90 litres of mixture of milk and water contains milk and water in the ratio of 3: 2. How much water should be added to the mixture to get 45 % milk on it?
a) 26 litres
b) 30 litres
c) 22 litres
d) 18 litres
e) None of these
5) A boat can travel 55 km downstream in 66 min. The ratio of the speed of the boat in still water to the speed of the stream is 4: 1. How much time will the boat take to cover 72 km upstream?
a) 2 hours 48 mins
b) 3 hours 12 mins
c) 2 hours 24 mins
d) 3 hours 28 mins
e) None of these
Directions (6 – 10): Study the following information carefully and answer the given questions.
Following table shows the total number of students appeared for the examination from different cities and the ratio of appeared boys to girls among them and the percentage of students passed in the examination and number of boys passed in the examination.
6) Find the average number of girls appeared for the examination from all the given cities together
a) 3156
b) 3480
c) 3622
d) 3378
e) None of these
7) The total number of girls passed in the city Q and R together is approximately what percentage of total number of girls passed in the city S and T together?
a) 156 %
b) 112 %
c) 145 %
d) 123 %
e) 137 %
8) Find the difference between the total number of girls appeared for the examination to that of total number of boys appeared for the examination from all the given cities together?
a) 4520
b) 3590
c) 2470
d) 5350
e) None of these
9) Find the ratio between the total number of girls passed from the city P and S together to that of total number of boys passed from the same city?
a) 1813: 2516
b) 1134: 1785
c) 1542: 2379
d) 2156: 2893
e) None of these
10) Total number of students appeared for the examination from city R and S together is approximately what percentage more/less than the total number of girls appeared for the examination from all the given cities together?
a) 15 % more
b) 27 % more
c) 11 % less
d) 39 % less
e) 8 % more
Answers :
Direction (1-5) :
1) Answer: d)
The original fraction be (x/y)
[X*(180/100)]/[Y*(220/100)] = 5/119x/11y = 5/11
x/y = 5/9
2) Answer: d)
A + B + C = Rs. 33250
(3/7)* A = (2/3)* B
(A/B) = (2/3) * (7/3) = 14/9
(1/4)* B = (5/8)* C
(B/C) = (5/8) * (4/1) = 5/2
The ratio of A, B and C = 70: 45: 18
133’s = 33250
1’s = 250
70’s = Rs. 17500
3) Answer: a)
The share of A, B and C,
= > [45000*3 + 60000*9]: [65000*3 + 60000*9]: [70000*7 + 55000*5]
= > 675000: 735000: 765000
= > 45: 49: 51
Total profit = Rs. 114405
145’s = 114405
1’s = 789
The share of A = 789*45 = Rs. 35505
4) Answer: b)
Total mixture of milk and water = 90 litres
5’s = 90
1’s = 18
Total milk = 54 litres, water = 36 litres
According to the question,
54/(36 + x) = (45/55)
54/(36 + x) = 9/11
66 = 36 + x
X = 30
30 litres of water should be added to the mixture.
5) Answer: c)
Speed of downstream = D/T = 55/(66/60) = 55*(60/66) = 50 km/hr
The ratio of the speed of the boat in still water to the speed of the stream
= > 4: 1 (4x, x)
5x = 50
X = 10
Speed of upstream = 4x – x = 3x = 30 km/hr
Distance = 752 km
Time = D/S = 72/30 = 2 2/5 hr = 2 hours 24 mins
Directions (6 – 10):
6) Answer: c)
The total number of girls appeared for the examination from all the given cities together
= > 2860 + 4250 + 3720 + 4320 + 2960
= > 18110
Required average = 18110/5 = 3622
7) Answer: d)
The total number of girls passed in the city Q and R together
= > 3713 + 3567 = 7280
The total number of girls passed in the city S and T together
= > 3274 + 2659 = 5933
Required % = (7280/5933)*100 = 122.70 % = 123 %
8) Answer: b)
The total number of girls appeared for the examination from all the given cities together
= > 2860 + 4250 + 3720 + 4320 + 2960
= > 18110
The total number of boys appeared for the examination from all the given cities together
= > 5720 + 3400 + 3100 + 5040 + 4440
= > 21700
Required difference = 21700 – 18110 = 3590
9) Answer: a)
The total number of girls passed from the city P and S together
= > 2165 + 3274 = 5439
The total number of boys passed from the city P and S together
= > 4270 + 3278 = 7548
Required ratio = 5439: 7548 = 1813: 2516
10) Answer: c)
Total number of students appeared for the examination from city R and S together
= > 6820 + 9360 = 16180
Total number of girls appeared for the examination from all the given cities together
= > 2860 + 4250 + 3720 + 4320 + 2960 = 18110
Required % = [(18110 – 16180)/18110]*100 = 10.65 % = 11 % less
