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Question Detail
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is
- 420
- 520
- 620
- 720
Answer: Option B
Explanation:
Let the boy are 8x and Girls are 5x
=> 5x = 200
=> x = 40
Total students = 8x+5x = 13x = 13(40) = 520
1. If A:B:C = 2:3:4, then find
AB:BC:CA
- 5:9:24
- 6:9:24
- 7:9:24
- 8:9:24
Answer: Option D
Explanation:
Let A = 2x, B = 3x, C = 4x, then,
AB=2x3x=23BC=3x4x=34CA=4x2x=21=>AB:BC:CA=23:34:21=8:9:24
2. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
- 2:5
- 2:7
- 5:7
- 5:3
Answer: Option D
Explanation:
Let the first number is A and second number is B.
As per question
40100A=23BAB=23∗10040AB=53=>A:B=5:3
3. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is
- 420
- 520
- 620
- 720
Answer: Option B
Explanation:
Let the boy are 8x and Girls are 5x
=> 5x = 200
=> x = 40
Total students = 8x+5x = 13x = 13(40) = 520
4. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?
- 23
- 27
- 31
- 33
Answer: Option D
Explanation:
From question, lets assume that two numbers are 3x and 5x.
then, 3x−95x−9=1223=>23(3x - 9) = 12(5x - 9)=>9x=99=>x=11
So numbers are 3(11) = 33, 5(11) = 55.
Smaller number is 33.
5. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.
- 32000
- 34000
- 38000
- 40000
Answer: Option C
Explanation:
Let the original Salaries of Ravi and Sumit is 2x and 3x.
So as per question
2x+40003x+4000=4057=>57(2x+4000)=40(3x+4000)=>6x=68000=>3x=34000 Sumit Salary =3x+400034000+4000=38000
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