1. Rs. 1278 is divided among 6 men, 5 women and 3 boys. The ratio of share of a man, a woman and a boy is 8: 11: 13. What is the share of a man?
- Rs85
- Rs72
- Rs90
- Rs110
2
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Solution:
Ratio 8:11:13
No of men, women and boys are 6, 5, 3
Then ratio of men, women and boys 6*8 : 5*11 : 13*3
=48:55:39
Men part is= (48/142)* 1278 = 432
Then 1 man part= 432/6 =72
2. A child has 3 different kinds of chocolates costing Rs 2, Rs 5 and Rs 10. He spends a total Rs. 140 on the chocolates. How many chocolate minimum and maximum we can buy with one condition we must buy from all varieties?
- 19, 63
- 20, 60
- 22, 62
- 17, 56
5
- View Answer
Solution:
To buy maximum chocolates we must buy Rs 2 choclate more.
10*1=10
5*2=10(we can’t buy one chocolate from Rs 5 because we have amount in even no )
2*60=120
Total chocolate (1+2+60)=63.
To buy minimum chocolates we must buy Rs 10 choclate more.
2*5=10
5*2=10(we can’t buy one chocolate from Rs 5 because we have amount in even no )
10*12=120
Total chocolate (5+2+12)=19.
3. There are two container of equal capacity . The ratio of milk to water in 1st can 5:3 and in 2nd can is 4:3. If they are mixed up, what is the new ratio?
- 45:67
- 55:68
- 67:45
- 37:45
11
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Solution:
Two can has equal capacity. So we consider 10litre in each can.
1st can (5+3) 8 10
Milk 5 ===> 25/4L
Water 3 ===>15/4L
2nd can (4+3) 7 10
Milk 4 ===> 40/7L
Water 3 ===>30/7L
Then New ratio
M+M 25/4 +40/7 : W+W 15/4+30/7
335/28: 225/28=67:45
4. In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appeared for the exam ?
- 170
- 165
- 180
- 155
16
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Solution:
Let the number of failed students be x
Number of passed students = 4x
So total number of students was 5x
From the given data
If total number of students be 5x – 35
(5x-35)/x+9=3/1
x = 31
Total number = 31×5 = 155
5. If 8 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a boy and that of a man for a given time ?
- 2:3
- 3:2
- 4:1
- 4:2
19
- View Answer
Solution:
8M+3B=4(1M+1B)
8M+3B=4M+4B
4M=B
B:M=4:1
6. Rs 1440 were distributed among A ,B,C and D in such a way that C and D together gets half of what A and B together gets and C gets one third amount of B. Also D gets 5/3 times as much as C. what is the amount of A?
- Rs560
- Rs420
- Rs460
- Rs660
22
- View Answer
Solution:
Given
C+D= (A+B)/2
B:C 3:1
C:D 3:5
B:C:D 9:3:5
(A+B)=2(C+D)
A+9x=2(3x+5x)
A=7x.
Total (7+9+3+5) 24 x=1440==>x=60
Then 7x=7*60==>420
7. The value of a diamond is directly proportional to the square of its weight. A diamond unfortunately breaks into three pieces with weights in the ratio of 3: 4: 5, thus a loss of Rs. 9.4 lakh is incurred. What is the actual value of diamond:
- 15Lakh
- 16Lakh
- 18Lakh
- 14Lakh
28
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Solution:
The ratio of broken part 3:4:5
Value of broken parts of diamond =3x2 +4x2+5x2=50x2
Value of original diamond 12x2=144x2
Then loss= 144x2-50x2=94x2
94x2=9.4Lakh
Actual value= 144x2=144 *9.4/94
=14.4Lakh
8. In a Temple every devotee offers fruits to the orphans. Thus every orphan receives Mango, apple and grapes in the ratio of 2 : 5 : 7 in terms of dozen. But the weight of a grape is 35 gm and weight of a mango and an apple are in the ratio of 5 : 6, while the weight of an apple is 180 gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets:
- 55:140:32
- 60:180:49
- 45:122:37
- 44:153:48
30
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Solution:
Weight of Mango and Apple 5:6
Apple 6 180gm
Mango 5 150gm
Grape 35gm
Ratio 2:5:7
Required ratio of fruits by weight
=2*150 : 5*180 : 7*35
=60:180:49.
9. A cat leaps 6 leaps for every 4 leaps of a dog, but 4 leaps of the dog are equal to 5 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
- 4:7
- 5:6
- 6:5
- 7:4
35
- View Answer
Solution: Dog/Cat = 5/4
Let cat’s 1 leap = 4 meter and dogs 1 leap = 5 meter.
Then, ratio of speed of cat and dog = 4*6/5*4 = 24:20==>6:5.
10. The students in three classes are in the ratio 8 : 9 : 11. If 15 students are increased in each class, the ratio changes to 11 : 12 : 14. Then the total number of students in the three classes before the increase is:
- 105
- 120
- 140
- 160
39
- View Answer
Solution: Let the original number of students be 8x, 9x and 11x
(8x + 15)/(9x + 15)=11/12
12(8x+15) =11(9x+15)
96x+180=99x+165
3x=15
x = 5
Required number of students = 8x + 9x + 11x = 28x = 28*5 = 140
11. The number of students in 3 classes is in the ratio 6:7:8. If 15 students are increased in each class this ratio changes to 9:10:11. The total number of students in the three classes in the beginning was
- 84
- 105
- 126
- 168
42
- View Answer
Solution:
Let the number of students in the classes be 6x, 7x and 8x respectively;
Total students = 6x+7x+8x = 21x.
Then (6x+15)/(7x+15)=9/10
60x+150=63x+135
X=5.
Total students =21*5=105.
12. A and B are two alloys in which ratios of Zinc and Sulphur are 4:5 and 6:7 respectively. If these equally amount of two alloys are melted and made alloy C. What will be the ratio of Zinc and Sulphur in alloy C?
- 27:32
- 32:27
- 15:22
- None
48
- View Answer
Solution:
Zinc in Alloy A=4/9
Zinc in Alloy B=6/13
Sulphur in Alloy A=5/9
Sulphur in Alloy B=7/13
Then in alloy C Zinc : Sulphur
4/9+6/13 : 5/9+7/13
106/117: 128/117
=53:64.
13. If 5/8th of a cistern is filled in 1 minutes, how much more time will be required to fill the rest of it.
- 25sec
- 20sec
- 45sec
- 36sec
50
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Solution:
5/8 part filled in 1 minute
full filled in 8/5 minute
so remaining 3/8 will filled in (8/5)*(3/8) = 3/5 minute = 36 seconds .
14. A dishonest milk man mixed 1 liter of water for every 3 liters of milk and thus made up 36 liters of milk. If he now adds 15 liters of milk to mixture, find the ratio of milk and water in the new mixture:
- 13:5
- 14:3
- 3:14
- 5:13
54
- View Answer
Solution:
Quantity of milk and water in the 36 liter mixture;
27 liter milk and 9 liter water.
Now, 15 liters milk is added then milk becomes 42 liters.
Now, ratio = 42:9 = 14:3.
15. The ratio between the ages of P and Q is 3:2 respectively. If the ratio between 1/5th of P’s age and 1/3rd of Q’s age is 9:10. Find the age of Q
- 45
- 30
- 32
- Data Inadequate
60
16. A bucket contains a mixture of two liquids A & B in the proportion 5 : 3. If 16 litres of the mixture is replaced by 16 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the bucket?
- 16.5 L
- 18 L
- 14.5 L
- 15 L
62
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Solution:
Let bucket contains 5x and 3x of liquids A and B respectively.
When 16 litres of mixture is replaced, A and B has a mixture is
[5x – (5/8)*16] = (5x – 10)
[3x – (3/8)*16] = (3x – 6)
Ratio (5x – 10)/(3x – 6+16) = 3/5
(5x – 10)/(3x +10) = 3/5
X=5.
So, quantity of liquid B initially,
= 3*5 = 15 litres.
17. The difference between two positive numbers is 10 and the ratio between them is 5:3. Find the product the two numbers
- 360
- 375
- 390
- 425
66
- View Answer
Solution:
Let the two positive numbers be 5x and 3x respectively.
5x-3x = 10
x = 5.
Then numbers are 25 and 15.
Thus, their product = 25*15 = 375.
18. If the ratio of the ages of Guna and Shekar is 6:7 at present, and twelve years from now, the ratio will get changed to 8:9, then find Guna’s present age.
- 38
- 46
- 42
- 36
72
- View Answer
Solution: Let Guna’s and Shekar’s present age is 6x and 5x respectively.
then
(6x+12)/(7x+12) = 8/9
54x+108 = 56x + 96
2x = 12
x = 6
Present age of Guna = 6x = 36.
19. The ratio of Elephant and Deer in the zoo is 43 : 47 respectively. The average number of Elephant and Deer in the zoo is 135. What is the number of Deer in the pond ?
- 166
- 135
- 141
- 156
75
- View Answer
Solution:
Ratio 43:47
Average 135
Then Total=2*135=270.
Deer=270*47/90
=141.
20. The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?
- 400000
- 386400
- 367500
- 412300
79
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Solution:
Let the total population be 'p'
Male :Female 7 : 8
Percentage of children among male and female is 25% and 20%
Then Adults male and female % = 75% & 80%
=> 80%(8p/15) = 156800
=> 80 x 8p/15 x 100 = 156800
=> p = 156800 x 15 x 100/80 x 8
=> p = 367500
Therefore, the total population of the city = p = 367500.