CSS - PMS - CCE - PCS - Mathematics
Percentage
If 38% of a quantity is selected and then 48% of that selected amount is taken, the final amount is what percent of the original?
A. 18.24%
B. 75%
C. 100
D. 58%
Correct Answer: A
Final percentage = (38/100) × (48/100) × 100
= (38 × 48) ÷ 100
= 18.24%
Answer = 18.24%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 33% of 28% of 1,800?
A. 100
B. 166.32
C. 58%
D. 75%
Correct Answer: B
28% of 1,800 = (28 ÷ 100) × 1,800 = 504
33% of that = (33 ÷ 100) × 504 = 166.32
Answer = 166.32
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 13%. By what percentage does its volume increase?
A. 44.29%
B. 100
C. 75%
D. 58%
Correct Answer: A
Volume ∝ side³
Percentage increase = [(1 + 13/100)³ − 1] × 100
= 44.29%
Answer = 44.29%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 18% and its breadth by 28%. By what percentage does its area increase?
A. 58%
B. 100
C. 51.04%
D. 75%
Correct Answer: C
Area ∝ Length × Breadth
Area increase % = 18 + 28 + (18 × 28 ÷ 100)
= 51.04%
Answer = 51.04%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 900, while the actual value is 970. What is the percentage error based on actual value?
A. 7.22%
B. 13 percentage points
C. 28%
D. 18%
Correct Answer: A
Absolute error = 70
Percentage error = (70 ÷ 970) × 100
= 7.22%
Answer = 7.22%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 41% to 59%. What is the relative percentage increase in the rate?
A. 28%
B. 13 percentage points
C. 43.9%
D. 18%
Correct Answer: C
Increase = 18 percentage points
Relative increase = (18 ÷ 41) × 100 = 43.9%
Answer = 43.9%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 36% to 52%. What is the increase in percentage points?
A. 16 percentage points
B. 13 percentage points
C. 28%
D. 18%
Correct Answer: A
Percentage-point increase = 52% − 36% = 16 percentage points
Answer = 16 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 2,600 but the measured value is 2,860. Find the percentage error.
A. 28%
B. 18%
C. 13 percentage points
D. 10%
Correct Answer: D
Absolute error = 260
Percentage error = (260 ÷ 2,600) × 100
= 10%
Answer = 10%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,600 g solution contains 33% acid. How many grams are not acid?
A. 1,600 g
B. 1,072 g
C. 528 g
D. 33%
Correct Answer: B
Non-acid percentage = 100 − 33 = 67%
Non-acid = (67 ÷ 100) × 1,600 = 1,072 g
Answer = 1,072 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,500 g mixture contains 420 g sugar. What percentage of the mixture is sugar?
A. None of these 1
B. 28%
C. 420 g
D. 1,500 g
Correct Answer: B
Sugar % = (420 ÷ 1,500) × 100
= 28%
Answer = 28%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,400 g solution contains 23% salt. How many grams of salt are present?
A. 23%
B. None of these 1
C. 1,400 g
D. 322 g
Correct Answer: D
Salt = (23 ÷ 100) × 1,400 = 322 g
Answer = 322 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,300 g solution contains 18% salt. How many grams of salt are present?
A. None of these 1
B. 234 g
C. 18%
D. 1,300 g
Correct Answer: B
Salt = (18 ÷ 100) × 1,300 = 234 g
Answer = 234 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 7,000 ballots, 13% are invalid. How many valid ballots remain?
A. 13%
B. 910
C. 7,000
D. 6,090
Correct Answer: D
Valid percentage = 100 − 13 = 87%
Valid ballots = (87 ÷ 100) × 7,000 = 6,090
Answer = 6,090
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 1,300 students. If 88% are present, how many are absent?
A. 12%
B. 156
C. 1,144
D. 1,300
Correct Answer: B
Absent percentage = 100 − 88 = 12%
Absent students = (12 ÷ 100) × 1,300 = 156
Answer = 156
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 2,600 people, 68% support a proposal. How many people support it?
A. 68%
B. 1,768
C. 832
D. 2,600
Correct Answer: B
Supporters = (68 ÷ 100) × 2,600 = 1,768
Answer = 1,768
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 63% of valid votes and wins by 15,600 votes. How many valid votes were cast?
A. 65,000
B. 60,000
C. 15,600
D. 55,000
Correct Answer: B
Loser = 37%
Margin percentage = 63% − 37% = 26%
Total votes = 15,600 × 100 ÷ 26 = 60,000
Answer = 60,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 19,500 on a commodity. Its price falls by 38%. By what percentage may consumption increase while expenditure remains unchanged?
A. 33%
B. 61.29%
C. 43%
D. 38%
Correct Answer: B
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 38 ÷ 62 × 100
= 61.29%
Answer = 61.29%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 19,000 on a commodity. Its price falls by 33%. By what percentage may consumption increase while expenditure remains unchanged?
A. 49.25%
B. 28%
C. 33%
D. 38%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 33 ÷ 67 × 100
= 49.25%
Answer = 49.25%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 18,500 on a commodity. Its price rises by 28%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 28%
B. 21.88%
C. 33%
D. 23%
Correct Answer: B
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 28 ÷ 128 × 100
= 21.88%
Answer = 21.88%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 18,000 on a commodity. Its price rises by 18%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 23%
B. 18%
C. 13%
D. 15.25%
Correct Answer: D
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 18 ÷ 118 × 100
= 15.25%
Answer = 15.25%