Aptitude Practice Question and Answer
8 Q: If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.
720 06426e27c72ca731a990e28e2
6426e27c72ca731a990e28e2- 115,972true
- 212,200false
- 311,200false
- 410,200false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "15,972"
Explanation :
To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:
๐=๐0ร(1+๐)๐P=P0ร(1+r)n
Where:
- ๐P = Population after ๐n years
- ๐0P0 = Initial population
- ๐r = Rate of increase (in decimal form)
- ๐n = Number of years
Given:
- ๐0=12,000P0=12,000 (Initial population)
- ๐=0.10r=0.10 (10% increase per annum)
- ๐=3n=3 (Number of years)
Substitute these values into the formula:
๐=12,000ร(1+0.10)3P=12,000ร(1+0.10)3
๐=12,000ร(1.10)3P=12,000ร(1.10)3
๐=12,000ร(1.331)P=12,000ร(1.331)
๐=15,972P=15,972
So, the population after 3 years would be approximately 15,972.
Q: The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]
734 0643d140332185cce373eec85
643d140332185cce373eec85- 111.11%false
- 212.5%false
- 314.16%false
- 413.04%true
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "13.04%"
Explanation :
To solve this problem, let's denote:
- Initial price of sugar = P
- Initial quantity consumed = Q
- Initial expenditure = PQ
After the price increases by 15%, the new price becomes 1.15P.
To keep the expenditure constant, the new quantity consumed (let's call it Q') can be calculated using the formula:
New expenditure = New price ร New quantity
Setting the new expenditure equal to the initial expenditure:
PQ = (1.15P) * Q'
Now, solve for Q':
Q' = PQ / (1.15P)
Simplify:
Q' = Q / 1.15
Now, let's find the percentage decrease in consumption:
Percentage decrease = [(Q - Q') / Q] * 100
Substituting the value of Q':
Percentage decrease = [(Q - (Q / 1.15)) / Q] * 100
Percentage decrease = [(Q * (1 - 1/1.15)) / Q] * 100
Percentage decrease โ [(1 - 0.8696) * 100] โ 13.04%
Therefore, the consumption of sugar should be decreased by approximately 13.04% to keep the expenditure on the purchase of sugar the same after a 15% increase in price.
Q: In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?
658 064cce0cd8f85ca71558f105f
64cce0cd8f85ca71558f105f- 15800false
- 26200false
- 36000true
- 45000false
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "6000"
Explanation :
Let's denote the total number of students who appeared in the examination as ๐ฅx.
Given that 92% of the students passed, it means 8% failed because the total percentage is 100%.
We can set up the equation:
8% of ๐ฅ=4808% of x=480To find 8% of ๐ฅx, we multiply ๐ฅx by 81001008 (which is the same as multiplying by 0.08):
0.08๐ฅ=4800.08x=480Now, we can solve for ๐ฅx:
๐ฅ=4800.08x=0.08480๐ฅ=6000x=6000So, 6000 students appeared in the examination.
Q: The sum of weights of A and B is 80 kg. 50% of A's weight is times the weight of B. Find the difference between their weights.
715 064ccef6ba919c8488e304799
64ccef6ba919c8488e304799- 120 kgtrue
- 210 kgfalse
- 325 kgfalse
- 415 kgfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "20 kg"
Explanation :
Let's denote the weight of A as ๐ฅx kg and the weight of B as ๐ฆy kg.
Given:
- ๐ฅ+๐ฆ=80x+y=80 (Sum of weights of A and B is 80 kg)
- 0.5๐ฅ=56๐ฆ0.5x=65y (50% of A's weight is 5665 times the weight of B)
We can solve these two equations to find the values of ๐ฅx and ๐ฆy, and then calculate the difference between their weights.
From equation 2: 0.5๐ฅ=56๐ฆ0.5x=65y Multiply both sides by 2 to get rid of the fraction: ๐ฅ=56๐ฆร2x=65yร2 ๐ฅ=106๐ฆx=610y ๐ฅ=53๐ฆx=35y
Now substitute this expression for ๐ฅx into equation 1: 53๐ฆ+๐ฆ=8035y+y=80 83๐ฆ=8038y=80 Multiply both sides by 3883: ๐ฆ=80ร38y=80ร83 ๐ฆ=30y=30
Now that we have found the weight of B, we can find the weight of A using equation 1: ๐ฅ+30=80x+30=80 ๐ฅ=80โ30x=80โ30 ๐ฅ=50x=50
So, the weight of A is 50 kg and the weight of B is 30 kg.
Now, let's find the difference between their weights: Difference=Weight of AโWeight of BDifference=Weight of AโWeight of B Difference=50โ30Difference=50โ30 Difference=20Difference=20
Therefore, the difference between their weights is 20 kg.
Q: If 40% of (A+B) = 60% of (A-B) then is
793 065424ed827398ecb26d95af5
65424ed827398ecb26d95af5- 1true
- 2false
- 3false
- 4false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. " "
Explanation :
Q: A sofa-set listed at โน 800 is sold to a retailer at successive discounts of 25% and 15% by the wholesaler. Then the cost price of the sofa-set for retailer is-
1221 065646da487a5d525ed78d4db
65646da487a5d525ed78d4db- 1500false
- 2510true
- 3550false
- 4560false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "510"
Explanation :
Q: A shopkeeper gives rebate of 20% and 10% successively on print price of a chair. If cost of chair is 2,000, then how much amount will customer pay?
878 06411b62b3218fd8d1492900c
6411b62b3218fd8d1492900c- 11400false
- 21500false
- 31600false
- 41440true
- Show Answer
- Workspace
- SingleChoice
Answer : 4. " 1440 "
Explanation :
Q: Alex sold his goods after announcing two successive discounts of 30% each. The effective discount altogether is-
913 065646d2ed75b9125c24b53a2
65646d2ed75b9125c24b53a2- 152%false
- 249%false
- 350%false
- 451%true
- Show Answer
- Workspace
- SingleChoice