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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 x:y = 1:3, then find the value of
(7x+3y):(2x+y)
- 14:5
- 15:5
- 16:5
- 17:5
Answer: Option C
Explanation:
let x = 1k and y = 3k, so
\begin{aligned}
= \frac{7(k)+3(3k)}{2(k)+1(3k)} \\
= \frac{16k}{5k} \\
= 16:5
\end{aligned}
2. 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.
\begin{aligned}
\text{then, }\frac{3x - 9}{ 5x - 9} = \frac{12}{23}\\
=> \text{23(3x - 9) = 12(5x - 9)}\\
=> 9x = 99 \\
=> x = 11
\end{aligned}
So numbers are 3(11) = 33, 5(11) = 55.
Smaller number is 33.
3. The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is
- 3
- 4
- 5
- 6
Answer: Option A
Explanation:
Let x is subtracted.
Then,
\begin{aligned}
\frac{(6-x)}{(7-x)}< \frac{16}{21} \\
21(6—x) < 16(7—x)\\
=> 5x > 14 = x > 2.8
\end{aligned}
Least such number is 3
4. 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
\begin{aligned}
\frac{40}{100}A = \frac{2}{3}B \\
\frac{A}{B} = \frac{2}{3}*\frac{100}{40} \\
\frac{A}{B} = \frac{5}{3} \\
=> A:B = 5:3
\end{aligned}
5. 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
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