16-09-2021 Answers

1. If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number?

Answer: 5:3

Solution: Let the numbers be x,y.

40x/100 = 2y/3,

x/y = (2*100)/(3*40),

x/y = 5/3


2. Two numbers are in the ratio of 3 : 4. If 5 is subtracted from each, the resulting numbers are in the ratio 2 : 3. Find the numbers.

Answer: 15.20

Solution: Let the numbers be 3x,4x.

3x-5:4x-5 = 2:3,

9x-15 = 8x-10,

x=5.

So the numbers are 15,20


3. If a=5b=2c=4d, then a:b:c:d is

Answer: 20:4:10:5

Solution: a/b = 5/1, b/c = 2/5, c/d = 2/1 (4/2 which is 2/1)

a:b:c:d = n1*n2*n3 : d1*n2*n3 : d1*d2*n3 : d1*d2*d3

= 5*2*2 : 1*2*2 : 1*5*2 : 1*5*1

= 20:4:10:5


4. The ratio of earnings of A to B is 4 : 7. What is the ratio of A's earning to the combined earning?

Answer: 4:11

Solution: Let the earnings be 4x,7x.

Required ratio = 4x/(4x+7x) = 4/11


5. The weights of Raju and Shyam is in the ratio 5 : 7. If the difference between their weights is 12 kgs, find Shyam's weight.

Answer: 42 kgs

Solution: Let the weights be 5x,7x.

7x-5x = 12,

x = 6 kgs.

Shyam's weight = 7x = 42 kgs


6. (REF=24732) :

What is the ratio between numbers of vowels to that of consonants in English Alphabet?

Answer: 5:21

Solution: There are 5 vowels and 21 consonants. Hence the ratio is 5:21


7. Rs. 2600 is to be divided into three parts in the ratio of 6 : 4 : 3. Find each part.

Answer: 1200, 800, 600

Solution: Let the parts be 6x,4x,3x.

6x+4x+3x=2600,

x=200

The parts are 1200,800,600


8. Find the number which when added to 2, 14, 37 and 133 make them proportionate to each other.

Answer: 3

Solution: Let the number to be added be x.

(2+x)/(14+x) = (37+x)/(133+x),

266+133x+2x+x^2 = 37*14 + 14x + 37x + x^2,

135x-51x = 252, x = 3


9. Two whole numbers whose sum is 64 cannot be in the ratio

Answer: 1:2

Solution: 64 = 2*2*2*2*2*2

Hence the sum of ratio's must add upto power of 2.

(For example 48 and 16 it is 3:1 where 3+1 =4)

Hence the ratio 1:2 does not add up to a power of 2.


10. The ratio of heights of A and B is 5 : 7. If B's height is 175 cms, find A's height

Answer: 125 cms

Solution: A:B = 5:7, A = 5B/7,

As it is given B=175,

A = 5*175/7 = 5*25 = 125 cms


11. Five numbers m,n,o,p,q are in the ratio 2:3:5:8:9 and their sum is 162. Find the average of the four numbers m,n,o,p.

Answer: 27

Solution: Let the common factor be x.

162 = 2x+3x+5x+8x+9x,

x=6

Average of m,n,o,p = 18x/4 = 18*6/4 = 27


12. The monthly salaries of A, B and C in the proportion of 2 : 3 : 5. If C's monthly salary is Rs. 1200 more than that of A, then find B's annual salary.

Answer: Rs. 14400

Solution: Let the salaries be 2x,3x,5x.

Given 5x-2x = 1200,

Solving x=400.

Hence B's monthly salary = 3x = 3*400 = 1200.

Annual salary = 1200*12 = 14400


13. The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side is

Answer: 48 cm

Solution: Let the sides be x/2,x/3,x/4.

Sum = x/2 + x/3 + x/4 = 104,

13x/12 = 104, x=96.

Longest side = x/2 = 96/2 = 48 cm


14. The side of a square and the radius of a circle are equal. Find the ratio of their area.

Answer: 7:22

Solution: Area of square = a^2

Area of circle = 22/7 * a^2

Hence ratio = 1:22/7 = 7:22


15. Find the mean proportional of 4 and 16.

Answer: 8

Solution: Let the mean proportional  be x.

4/x = x/16,

x^2 = 64, Solving x=8 or -8.

Among the given options 8 is the answer.


16. What is the ratio between an hour and a second?

Answer: 3600 : 1

Solution: An hour = 60 minutes = 3600 seconds.

Hence ratio between an hour and a second = 3600:1


17. Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. Find the numbers

Answer: 15 and 25

Solution: Let the numbers be 3x,5x.

(3x+10)/(5x+10) = 5/7,

21x+70 = 25x+50, x=5.

Hence the numbers are 15,25.


18. A's salary is Rs. 500 per month and that of B's is Rs. 9000 per annum. Find the ratio of A's salary to that of B's.

Answer: 2:3

Solution: A's yearly salary = 500*12 = Rs.6000

Hence requried ratio = 6000:9000 = 2:3


19. Inverse ratio of 14 : 35 is

Answer: 5:2

Solution: Inverse ratio is 35:14,

Dividing by 7, it is 5:2


20. Find three numbers in the ratio 4 : 3 : 2 such that the sum of their squares is 261.

Answer: 12, 9, 6

Solution: Let the numbers be 4x,3x,2x.

The sum of their squares = 16x^2 + 9x^2 + 4x^2 = 261,

x^2 = 261/29 = 9, x = +3 or -3.

The numbers are 12,9,6

Comments

Post a Comment

Popular posts from this blog

14-08-2021 Answers

 1. Which of the following sentences contains a dangling modifier? Answer: To raise a good dog, patience is useful. 2. The sentence "John wants to really do well on this exam" contains which of the following errors? Answer: split infinitive 3. Which of the following sentences contains a dangling gerund phrase? Answer: On completing the grammar quiz, spiking your pencil is acceptable. 4. Which of the following sentences has a misplaced modifier? Answer: A dog appeared in my dreams that sang like an angel. 5. Which of the following sentences contains a dangling modifier? Answer: None of these 6. Choose the correct sentence. Answer: To enter the contest, you must send an entry form with your slogan. 7. Choose the correct sentence. Answer: She wore a bicycle helmet that was too large on her head. 8. Choose the correct sentence. Answer: The patient with stomach pain was referred to the physician. 9. Identify whether the following sentence is correct or incorrect with respect to mo...
Read more

21-07-2021 Answer

Image
 216 cubes of similar size are arranged in the form of a bigger cube. The six faces of the bigger cube are painted with green, red, blue, violet, white, pink colours. Related Comprehension Questions 1. How many cubes are painted with red or blue? Answer: 66 or 72 Solution: In one face 36 smaller cubes will be present. When red and blue are not adjacent 36*2=72 cubes will be painted with red or blue. When these colours are in adjacent faces, the six common cubes are to be subtracted giving 72-6=66 2. How many cubes are painted with red or blue or green? Answer: 91 or 96 Solution: When all three colours are adjacent to each other, we get 36 + 30 + 25 = 91 (We subtract the common cubes from 36 and hence 30 and 25) When one of the three colours is in between the other two, we get 36+30+30 = 96 3. How many cubes are painted with red or blue but not green? Answer: 55 or 60 Solution: When all three colours are adjacent to each other, we get 30+25 = 55 When green coloured face is in betwee...
Read more

13-09-2021 Answers

1. If Rs.24586 is to be divided among four persons A,B,C,D such that A:B = 3:4, B:C = 5:6 and C:D = 7:5, who will get the minimum amount? Answer: Person A Solution: A/B = 3/4     B/C = 5/6   C/D=7/5 Shortcut: The ratio of A:B:C:D is given as (n1*n2*n3) : (d1*n2*n3) : (d1*d2*n3) : (d1*d2*d3). Hence A:B:C:D = (3*5*7):(4*5*7):(4*6*7):(4*6*5) = 105:140:168:120 Hence A will get minimum amount. 2. Three cans contain equal quantities of alcohol and water in the ratios  6:1, 5:2 and 8:3 respectively. If the contents of all three cans are poured into a single vessel, the proportion of alcohol:water in the vessel is Answer: 59:18 Solution: Let the quantity of alcohol and water be 6x:x , 5y:2y and 8z:3z. Proportion of alcohol:water = (6x+5y+8z)/(x+2y+3z). --Eq1 As all the cans contain equal quantities of alcohol and water, 7x = 7y = 11z. Hence x=y and z=7y/11. Substituting in Eq1), the required proportion is (6y + 5y + 56y/11)/(y + 2y + 21y/11) = 177y/54y = 59:18 3. A...
Read more