Ratio and Proportion - Aptitude Questions and Answers | Online Ratio and Proportion MCQ Aptitude Test
Quiz Name
Ratio and Proportion
Category
Online Aptitude Test
Number of Questions
15
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. A and B have a total of Rs. 1210. How much money does B have if A's money is the same as B's money?
a. Rs. 460
b. Rs. 484
c. Rs. 550
d. Rs. 664
Answer: B
Explanation:
4/15 A = 2/5 B,B = 2/5 x 15/4 A,B = 3/2 A,A/B = 3/2,The ratio of A to B is 3:2.B's portion is Rs. 1210 divided by 2/5 = Rs. 484.
2. Two figures are 20 percent and 50% greater than a third number, respectively. The following is the ratio of the two numbers:
a. 2 : 5
b. 3 : 5
c. 4 : 5
d. 6 : 7
Answer: C
Explanation:
Let x be the third number.The first value is thus equal to 120 percent of x = 120x/100 = 6x/5.150 percent of x = 150x/100 = 3x/2 is the second number.The ratio of the first two integers is 6x/5:3x/2, which is 12x/15x = 4:5.
3. A quantity of money is to be distributed in the proportions of 5: 2: 4: 3 among A, B, C, and D. What is B's share if C receives Rs. 1000 more than D?
a. Rs. 500
b. Rs. 1500
c. Rs. 2000
d. None of these
Answer: C
Explanation:
Let A, B, C, and D's shares be worth 5x, 2x, 4x, and 3x, respectively.The result is 4x - 3x = 1000.x equals 1000.2x = Rs. (2 x 1000) = Rs. 2000 = B's share.
4. n a school, the ratio of seats for Mathematics, Physics, and Biology is 5:7:8. There is a proposal to raise the number of seats by 40%, 50%, and 75%, respectively. What will the higher seat ratio be?
a. 2 : 3 : 4
b. 6 : 7 : 8
c. 6 : 8 : 9
d. None of these
Answer: A
Explanation:
Initially, 5x, 7x, and 8x seats were proposed for Mathematics, Physics, and Biology, respectively.(140 percent of 5x), (150 percent of 7x), and (140 percent of 10x) are the numbers of seats that have been raised (175 percent of 8x).175/100 x 8x, 150/100 x 7x, and 140/100 x 5x,7x, 21/2x, and 14x are all options.7x : 21/2x : 14x is the necessary ratio.14x : 21x : 28x : 14x : 21x : 28x : 14x=2:3:4.
5. In a 60-litre combination, divide the milk by the water in a 2:1 ratio. If the ratio is 1:2, then the amount of water to be added after that is:
a. 20 litres
b. 30 litres
c. 40 litres
d. 60 litres
Answer: D
Explanation:
Milk quantity = 60 x 2/3 litres = 40 litres,The amount of water in it is (60-40) litres, which equals 20 litres.1: 2 is the new ratio.Allow x litres of more water to be added.Then there's milk: water = 40/20 Plus x.40/20 Plus x = 1/2 now,80 = 20 + x,x is equal to 60.60 litres of water are need to be added.
6. In a college, the ratio of boys to girls is 7:8. What will the new ratio be if there is a 20% rise in the number of males and 10% increase in the number of girls?
a. 8 : 9
b. 17 : 18
c. 21 : 22
d. Cannot be determined
Answer: C
Explanation:
Initially, the college should have 7x the number of males and 8x the number of girls.(120 percent of 7x) is the growth in their number (110 percent of 8x).110/100 x 8x and 120/100 x 7x42x/5 and 44x/5,42x/5 : 44x/5 = 21 : 22 is the necessary ratio.
7. Ravi and Sumit's salaries are in a 2:3 ratio. If each person's pay is increased by Rs. 4000, the new ratio is 40:57. What is Sumit's remuneration?
a. Rs. 17,000
b. Rs. 20,000
c. Rs. 25,500
d. Rs. 38,000
Answer: D
Explanation:
Let's say Ravi and Sumit's initial wages were Rs. 2x and Rs. 3x, respectively.Then 40/57 = 2x + 4000/3x + 4000,40(3x + 4000) x 57(2x + 4000) x 57(2x + 4000) x 57(2x + 4000) x68,000 = 6x,34,000 = 3x,Sumit's current pay is Rs. (3x + 4,000) = Rs. (34,000 + 4,000)=Rs38,000.
8. If 0.75 : x : 5 : 8, x equals:
a. 1.12
b. 1.2
c. 1.25
d. 1.30
Answer: B
Explanation:
x =6/5 = 1.20 (x x 5) = (0.75 x 8)
9. 98 is the sum of three numbers. If the first to second ratio is 2:3 and the second to third ratio is 5:8, then the second number is:
a. 20
b. 30
c. 48
d. 58
Answer: B
Explanation:
Let's call the three sections A, B, and C.B : C = 5 : 8 = 5 x 3/5 :8 x 3/5 = 3 24/5 and A : B = 2 : 3,10 : 15 : 24 = A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24,B = 98 multiplied by 15/49 equals 30.
10. The first component of Rs. 782 is: If Rs. 782 is divided into three parts, the first part is:
a. Rs. 182
b. Rs. 190
c. Rs. 196
d. Rs. 204
Answer: D
Explanation:
6 : 8 : 9 is the given ratio.1st portion = Rs.782 multiplied by 6/23 = Rs.204.
11. The wages A, B, and C are in the 2:3:5 ratio. What will be the new ratio of their wages if increments of 15%, 10%, and 20% are permitted in their incomes?
a. 3 : 3 : 10
b. 10 : 11 : 20
c. 23 : 33 : 60
d. Cannot be determined
Answer: C
Explanation:
Let A equal 2k, B equal 3k, and C equal 5k.A's new pay is 115/100 of 2k, which is 15/100x 2k = 23k/10.B's new pay is 110/100 of 3000 = 110/100 x 3000 = 33000/10000.C's new pay is 120/100 of $5,000 = 120/100x $5,000 = $6,000.New ratio: 23 k/10 : 33 k/10 : 6 k = 23 k/10 : 33 k/10 : 60 k/10 : 60 k/10 : 60 k/10 : 60.
12. What is the ratio of the first number to the second number if 40% of one number equals two-thirds of another number?
a. 2 : 5
b. 3 : 7
c. 5 : 3
d. 7 : 3
Answer: C
Explanation:
Let 40 percent of A equal 2/3 of B.Then, 40/100A = 2/3B,2/5A = 2/3B,A/B = 2/3 x 5/2 = 5/3,5:3 is the ratio of A to B.
13. The fourth proportionate to 5, 8, 15, is as follows:
a. 18
b. 24
c. 19
d. 20
Answer: B
Explanation:
Let x be the fourth proportional to 5, 8, 15, and y be the fifth proportional to 5, 8, 15, and y be the fifth proportional to,After that, 5 : 8 : 15 : x,5 times Equals (8 x 15),x = (eight times fifteen) divided by five equals twenty-four.
14. The ratio of two numbers is 3:5. When 9 is removed from each, the resulting numbers are in the 12:23 ratio. The lower number is as follows:
a. 27
b. 33
c. 49
d. 55
Answer: B
Explanation:
Let's say the numbers are 3x and 5x respectively.The result is 3x - 9/5x - 9 = 12/23.12 = 23(3x - 9) (5x - 9),9x Equals 99,x equals 11.(3 x 11) = 33 is the lower number.
15. There are 25 p, 10 p, and 5 p coins in a bag in the ratio of 1 : 2 : 3. How many 5 p coins are there in total if there are Rs. 30?
a. 50
b. 100
c. 150
d. 200
Answer: C
Explanation:
Let x, 2x, and 3x be the number of 25 p, 10 p, and 5 p coins, respectively.The aggregate of their values is thus Rs. 25x/100 + Rs. 10x/2x/100 + Rs. 5x/3x/100 = Rs. 60x/100.x = 30 x 100/60 = 50, 60x/100 = 30.As a result, the number of 5 p coins is equal to (3 x 50) = 150.
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