Biology and Computer Science seat allocations are in a 5:8 ratio. Increasing them by 30% and 25% respectively, find the new ratio.
Show answer Hide answer
Answer: B. 13:20
Explanation
Multiplying the initial ratio parts by their respective percentage increase factors yields the new adjusted values. Applying a thirty percent increase to five scales it to six point five for computer science or biology. Applying a twenty-five percent increase to eight scales it to ten yielding the simplified ratio thirteen to twenty. Ratios express the relative size of two or more values without specifying their exact absolute quantities. Percentage increases are computed by multiplying the base value by one plus the percentage expressed as a decimal. Simplifying decimal ratios into whole number fractions requires multiplying both terms by a common factor.
Option A suggests six to ten which represents an unsimplified intermediate calculation step rather than final ratio. Option C suggests three to four which does not reflect the specific percentage increases applied to original values. Option D suggests thirty-five to thirty-three which reverses proportion factors and miscalculates growth adjustments.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. The mean marks for 30 students are 58.5. If 75 was mistakenly logged as 57, determine the correct mean.
Show answer Hide answer
Answer: D. 59.1
The total marks sum for thirty students is found by multiplying thirty by the mean of fifty eight point five. The net error is calculated by subtracting the mistakenly logged value of fifty seven from the correct value o...
Q2. The mean of 50 observations was recorded as 36. Correcting an erroneous observation of 23 (should be 48) gives what new mean___________?
Show answer Hide answer
Answer: C. 36.5
Subtracting twenty three from forty eight reveals a net addition of twenty five to the sum. Distributing twenty five evenly across fifty observations increases the average by zero point five. Adding zero point five to th...
Q3. How many distinct permutations can be formed from the letters of the word 'MESMERISE'___________?
Show answer Hide answer
Answer: A. 9!/(2!)2 3!
The word MESMERISE has 9 letters with 'M' repeating twice, 'E' repeating 3 times, and 'S' repeating twice, giving the permutation formula 9! / (2! * 2! * 3!).
Q4. How many new arrangements can be created using the letters of the word 'ALIVE'__________?
Show answer Hide answer
Answer: C. 119
The word alive consists of five completely distinct letters, allowing five factorial total arrangements. Calculating five factorial produces a total of one hundred twenty possible letter permutations. Subtracting the sin...
Q5. An article listed at Rs. 65 sells for Rs. 56.16 after two successive discounts, one being 10%. What was the other discount________?
Show answer Hide answer
Answer: B. 4%
Applying the first successive discount of ten percent reduces the list price of sixty five to fifty eight point five zero. Dividing the final selling price of fifty six point sixteen by fifty eight point five zero gives...
Q6. A rectangular plot has a length 4 ½ times its breadth. If the area is 200 square meters, what is its length?
Show answer Hide answer
Answer: B. 30m
Expressing length as four point five times breadth establishes the algebraic equation four point five x squared. Equating four point five x squared to two hundred yields an x squared value of forty over nine. Multiplying...