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Ratio and Proportion
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Ratio and Proportion
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A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
A. 35
B. 40
C. 45
D. 50
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Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number of graduates having experience?
A. 12:1
B. 5:1
C. 1:5
D. 1:12
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Two vessel P and Q contain milk and water in ratio 3 : 2 and 5 : 3 respectively. If 10 liters of the mixture is removed from vessels P and poured in vessel Q then ratio of milk to water in vessel Q becomes 8 : 5. Find the initial quantity of water in vessel Q.
A. 10 lit
B. 6 lit
C. 16 lit
D. 12 lit
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Maneela lent Rs. 8000 partly at the rate of 5% and partly at the rate of 6% per annum simple interest. The total interest she get after 2 years is Rs. 820, then in which ratio will Rs. 8000 is to be divided?
A. 7:1
B. 13:5
C. 15:7
D. 2:7
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If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:
A. Rs. 408
B. Rs. 204
C. Rs. 412
D. Rs. 220
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If (2a + 3b)/(5a – 3b) = 23/5 , then the value of ba is ?
A. 5
B. `4
C. 20
D. 28
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The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?
A. 225 deg
B. 210 deg
C. 205 deg
D. 245 deg
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A, B and C have amounts in the ratio of 3 : 4 : 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C respectively.
A. 4:3:5
B. 5:4:3
C. 3:4:5
D. 5:2:5
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A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
A. 48
B. 12
C. 36
D. 60
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Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?
A. 140:144:147
B. 40:44:47
C. 15:21:28
D. 252:245:240
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In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case ?
A. 693
B. 741
C. 528
D. 654
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A child has three different kinds of chocolates costing Rs.2, Rs.5, Rs.10. He spends total Rs. 120 on the chocolates. what is the minimum possible number of chocolates he can buy, if there must be atleast one chocolate of each kind?
A. 22
B. 19
C. 17
D. 15
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The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2 , 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. what is the ratio of petrol and kerosene in the new mixture?
A. 4:5
B. 3:2
C. 3:5
D. 2:3
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The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio becomes 5 : 4 : 3?
A. 1:3
B. 2:1
C. 3:4
D. 2:3
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If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
A. 12
B. 15
C. 16
D. 19
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A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :
A. 84
B. 140
C. 196
D. 240
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The compounded ratio of (2 : 3), (6: 11) and (11 :2) is
A. 1:2
B. 2:1
C. 11:24
D. 36:121
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A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
A. A) 2:5
B. 3:5
C. 4:5
D. 5:4
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Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 6 : 7
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The inverse ratio of 3 : 2 : 1 is?
A. 1 : 2 : 3
B. 2 : 3 : 1
C. 3 : 1 : 2
D. 2 : 3 : 6
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